Multi Subject Praxis Exam
Which book is an example of a predictable book? Brown, Bear, Brown Bear, What Do You See? by Bill Martin, Jr. Whistle for Willie by Ezra Jack Keats Spiders by Gail Gibson Best Word Book Ever by Richard Scary
Brown, Bear, Brown Bear, What Do You See? by Bill Martin, Jr.
The circumference of a circle of radius r is given by the formula C = 2πr. Which of the following graphs illustrates the relationship between r and C?
C = 2πr shows that C and r are in direct proportion i.e. if the radius is doubled the circumference will also be doubled. The graph of such a relationship is always a straight line passing through the origin. In particular, the points (0, 0) and (1, 2π) lie on the line. Choice A is the correct answer.
Which of these values is the lowest? 0.132, 0.0132, 0.01302, 0.01320, 0.1302 0.132 0.0132 0.01302 0.1302
Correct Answer: 0.01302 Examine each number from left to right. Answer A can be eliminated since they have a one in the tenths position. Answers B, C and D are identical up to the fourth digit (0.013). At this point it is clear that answer C or 0.01302 is the lowest.
Lisa and Tanya both do the same quiz. They score 5 points for each correct answer, but 2 points are deducted for each incorrect answer. Lisa got x correct and y incorrect and scored a total of 37 points. Tanya got y correct and x incorrect and scored a total of 23 points. Find the value of x. 14 11 7 13
Correct Answer: 11 Step 1 From the information given, write down a pair of simultaneous equations: Lisa scored 5x points for her correct answers, but lost 2y points for her incorrect answers. ∴ 5x - 2y = 37 (1) Tanya scored 5y points for her correct answers, but lost 2x points for her incorrect answers. ∴ 5y - 2x = 23 (2) Step 2 Solve the simultaneous equations: Multiply equation (1) by 5 and equation (2) by 2. ∴ 25x - 10y = 185 (3) 10y - 4x = 46 (4) Add (3) and (4) ∴ 21x = 231 ∴ x = 231/21 = 11
Express 3/5 as a percentage of 1/2. 33.3% 60% 83.3% 120%
Correct Answer: 120% First expess 3/5 as a fraction of 1/2 by dividing: = 3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5 Now change 6/5 to a percent: 6/5 = (6/5 × 100/1)% = (600/5)% = 120%
Estimate, to the nearest whole number, the value of 2 4 5 6
Correct Answer: 2 Round each of the numbers to the nearest whole number:
W =5 L = 9 What is the perimeter of the rectangle? 45 28 18 10
Correct Answer: 28 Perimeter is the distance around the edge of a geometric shape. Imagine that it is the distance traveled if you were to walk around the shape one time. In other words: Perimeter of a rectangle = length + width + length + width Perimeter = 9 + 5 + 9 + 5 or 28 A slightly faster way of getting the answer is with this equation: Perimeter = (2 * length) + (2 * width) P = (2 * 9) + (2 * 5) P = 18 + 10 P = 28
Three whole numbers that satisfy the Pythagorean relationship are called a Pythagorean triple. Which one of the following is not a Pythagorean triple? 4, 7 and 8 5, 12 and 13 6, 8 and 10 8, 15 and 17
Correct Answer: 4, 7 and 8 42 + 72 = 16 + 49 = 65 ≠ 82 ⇒ 4, 7 and 8 is not a Pythagorean triple. 52 + 122 = 25 + 144 = 169 = 132 ⇒ 5, 12 and 13 is a Pythagorean triple. 62 + 82 = 36 + 64 = 100 = 102 ⇒ 6, 8 and 10 is a Pythagorean triple. 82 + 152 = 64 + 225 = 289 = 172 ⇒ 8, 15 and 17 is a Pythagorean triple.
In ancient times a cubit was used as a unit of measurement. If a cubit is about 15 inches long, 6 cubits equals how many feet? 90 6 7.5 72
Correct Answer: 7.5 This problem involves two calculations, one to find the number of inches in six cubits and then another to convert inches into feet. 1 cubit = 15 inches 6 cubits = 15 inches * 6 = 90 inches There are 12 inches in one foot: 90 in * (1 ft / 12 in) = 90 in * ft /12 in The inches drop out leaving: 7.5 ft or answer D.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." Neither Bill nor Vinnie brought his towel to the beach. their its your No change is necessary.
Correct Answer: No change is necessary.
Solve for x: 5x + 3 ≥ 4x - 6 x ≥ -3 x ≤ -9 x ≥ -9 x = -9
Correct Answer: x ≥ -9 Inequalities can be treated as equations unless you are multiplying or dividing a negative number. In this case we can simply think of the inequality as an equation. 5x + 3 ≥ 4x - 6 Subtract 4x from both sides: x + 3 ≥ -6 Then subtract 3 from both sides: x ≥ -9
If 1/x + 1/y = 1/2 and x > 5, then which of the following statements is always true? x = 6 and y = 3 y > x y > 10/3 y < 10/3
Correct Answer: y < 10/3 x > 5 ⇒ 1/x < 1/5 ⇒ 1/x + 1/y < 1/5 + 1/y Therefore, 1/x + 1/y = 1/2 ⇒ 1/2 < 1/5 + 1/y ⇒ 1/y > 1/2 - 1/5 ⇒ 1/y > 5/10 - 2/10 ⇒ 1/y > 3/10 ⇒ y < 10/3 Note Answer A gives one possible solution to the equation, but is not necessarily true. Answer B is completely wrong since 1/x + 1/y ≠ 1/(x + y). Answer C is also wrong because x > 5 and y < 10/3, so y cannot be greater than x.
The equation of the straight line is: y = (-2/3)x +3 y = (3/2)x + 3 y = (-3/2)x + 3 y = (-3/2)x - 3
Correct Answer: y = (-3/2)x + 3 The equation of a straight line is given in the form y = mx + c where m is the slope and c is the y-intercept. In this case, the line passes through (0,3) and (2,0) , so m = (0 - 3)/(2 - 0) = -3/2 and c = 3. y = (-3/2)x + 3
Choose the most appropriate opening statement for the following situation. Vicki has been asked to write an article for her high school newspaper reporting on the pep rally held for the high school football team that has been having a very bad season so far. The pep rally last night was about as good as it can get for a team that has lost every game this year so far. When you have a team as bad as ours, you have to do something to motivate them and the pep rally last night tried to do just that. It's about time that our football team gets going and so those of us who care attended the pep rally to motivate this team to a win. Every team needs a boost now and then and last night our school came through for our football team to give them just the shot in the arm they need to win tonight's game.
Correct answer: Every team needs a boost now and then and last night our school came through for our football team to give them just the shot in the arm they need to win tonight's game.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." Gloria and her friend went to see Nancy with her mother. Gloria's her friend's Nancy's No change is necessary.
Correct answer: Gloria's
In which of the following sentences is the modifier placed correctly? Having broken the window, Jim needed to tell his parents. Having broken the window, Jim's parents needed to be told. At the age of three, my uncle took me to my first ball game. While making a cake, the oven overheated.
Correct answer: Having broken the window, Jim needed to tell his parents.
Which of the following is correct? Jane made a note of the things that she needed at the market there were so many of them she didn't think that she could remember. Diana and her friends went to the movies to see their favorite actor he is such a hunk! Let's give the bag to Marty while we go into the store. When we give up something for the first time.
Correct answer: Let's give the bag to Marty while we go into the store. This is the only sentence that is not a run-on or a fragment. The first two are run-ons and need punctuation to correct this. The last sentence is a sentence fragment.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." I brush my teeth at least three times every day. brushed will have brushed will be brushing No change is necessary.
Correct answer: No change is necessary.
Select the answer choice that corrects an error in the underlined portion. If there is no error, choose D indicating that no change is necessary. The teacher told her students to (A) continue with the lesson, (B) lest they fall behind in (C) their studies. continue on less there No change is necessary.
Correct answer: No change is necessary.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." We flew over the Atlantic (A) ocean to see (B) Aunt Maggie in Scotland. She is a (C) professor at one of the universities there. Ocean aunt Professor No change is necessary.
Correct answer: Ocean
Choose the sentence that exemplifies the correct parallel expressions. Running for 5 miles was both taxing and made Millie exhausted. When Franco visited the ranch he saw a lot of horses, milked a cow and ate a lot of barbecued meat. I think I'll try making bread, cooking a big meal and to get everyone together to eat. Thanks for inviting me to the party, driving me there and home and your nice attitude while we were there.
Correct answer: When Franco visited the ranch he saw a lot of horses, milked a cow and ate a lot of barbecued meat.
One formula of motion is s = ut + ½at2 What is 'a' equal to? a = 2(s -ut)/t2 a = 2(ut - s)/t2 a = s - ut - ½t2 a =½(s - u/t)
Correct answer: a = 2(s -ut)/t2 s = ut + ½at2 \ ½at2 = s - ut \ at2 = 2(s - ut) \ a = 2(s - ut)/t2
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." In an argument everybody wants to say they're right. he's you're it's No change is necessary.
Correct answer: he's The pronoun in this case must be singular, third person and masculine or feminine in order to agree with the noun to which it refers - "everybody." This is not a plural noun; it is singular. Therefore, "he's" (or she's" if you prefer) is the only correct choice.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." If someone smokes all their life, then what can he expect? its our his No change is necessary.
Correct answer: his The noun to which "their" refers is "someone." Since the noun is a singular noun the correct choice would be "his" which is also singular form, as well as correct in person.
Select the answer choice that corrects an error in the underlined portion. If there is no error, choose D indicating that no change is necessary. When her teacher (A) cited the Bill of Rights, and then (B) proceeded to the words of the Constitution itself, it gave Mary Ann some (C) incite into the intentions of the founding fathers of the country. sited preceded insight No change is necessary.
Correct answer: insight
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." When (A) she arrived at her house, Dorothy told her mother that (B) her and her sister Cassie were going to spend the night at (C) their aunt's house. her she them No change is necessary.
Correct answer: she
Select the answer choice that corrects an error in the underlined portion. If there is no error, choose D indicating that no change is necessary. It was (A) too cold to go to the beach so Jim and Mickey debated (B) weather to go to the park or to drive along the shore to see the (C) sights. to whether sites No change is necessary.
Correct answer: whether
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." I am going to save up enough money to buy those shoes, and after I do, I will have gone to the store to buy them. will be going will have been going will go No change is necessary.
Correct answer: will go
What does 12 X 104 equal? 1,200 12,000 120,000 120
Correct answer: 120,000 This question describes a number using scientific notation. When dealing with 10 to the power of a positive number, the power tells you the number of zeros. In this case 104 is 10,000 or a 1 and 4 zeros. Multiplying 10,000 by 12 yields 120,000.
The pie graph shows the major sources of greenhouse gas emissions in the world. Approximately what proportion of greenhouse gas emissions are not industrial? 2/3 7/12 3/4 4/5
Correct answer: 2/3 The angle for Industrial sources is approximately 120° which accounts for about 1/3 of the total angle of 360°. Therefore, approximately 2/3 are not Industrial
For a series, the term xn is given by the formula xn = 3xn - 1 - 2xn - 2 for all n ≥ 2 If x0 = 1 and x1 = 5, what is the value of x3 ? 37 -11 13 29
Correct answer: 29 Before you can find x3 , first find x2 x2 = 3x1 - 2x0 = 3 *5 - 2 * 1 = 15 - 2 = 13 Now use the formula a second time to find x3 x3 = 3x2 - 2x1 = 3 *13 - 2 * 5 = 39 - 10 = 29
3 Stars = 6 1 Star 2 Lightening = 14 1 Star 3 Lightening 2 Sun = 34 What is the value of one sun? 2 6 7 Cannot be determined
Correct answer: 7 Begin by getting a value for one star and one lightning bolt. We know that: 3 stars = 6 OR 3 * S = 6 OR S = 2 From the second equation in the question we know that one sun and two bolts equals 14: S + (2 * L) = 14 where S = 2 2 + (2 * L) = 14, Subtract 2 from both sides: 2 * L = 12, and divide both sides by 2, so L = 6. Now, the final equation can be expressed as: 2 + 6 + 6 + 6 + Sun + Sun = 34 Simply: 2 * Sun = 14 so dividing by two means that a sun must be worth 7.
Which of the following is NOT true about dialect differences? Dialect differences may affect language arts success Dialect differences are affected by gender Dialect differences may result from geographical factors Dialect and standard English may be incompatible
Correct answer: Dialect differences are affected by gender Dialect differences may affect language arts success, are often the result of geographical factors, and might cause problems for children when dialect and standard English are incompatible. However, gender is not a recognized factor in dialect.
David wanted to work out 1,000 ÷ 800 ÷ 8, but he didn't have a calculator. 'I think I can do it this way,' David said to his friend Tom: 1,000 ÷ 800 ÷ 8 = 1,000 ÷ 100 = 10 Tom worked out the answer on his calculator and got 0.15625. 'You're wrong,' he told David. 'That law doesn't work for division.' Which law was Tom trying to remember? Division is not distributive over addition Division is not associative Division is not commutative Division is not equivalent to multiplication by a reciprocal
Correct answer: Division is not associative Although three of the other answers are also true - division is not commutative, division is not distributive over addition and division is not distributive over multiplication - the law that David broke is the one referring to the associative law. If a, b and c are any three numbers, then a ÷ (b ÷ c) = (a ÷ b) ÷ c is not generally true. Where there are no parentheses, as in this case, the first division must be performed first. Thus, 1,000 ÷ 800 ÷ 8 = (1,000 ÷ 800) ÷ 8 = 1.25 ÷ 8 = 0.15625.
Teachers model reading behavior to their students by reading aloud to them. Which of the following oral reading techniques do children learn when teachers read aloud? i. Pronunciation ii. Intonation iii. Punctuation iv. Primary language i, ii, and iii only i, ii, iii and iv i and iii only ii and iv only
Correct answer: i, ii, and iii only Children learn pronunciation, intonation, and punctuation when teachers read aloud to them. They also learn enthusiasm for reading and often find reading more fun than students whose teachers do not model oral reading techniques.
The mean of the numbers 5, 8, x, 19 and 25 is 14. What is the value of x? x = 13 x = 14 x = 16 x = 17
Correct answer: x = 13 The mean of 5, 8, x, 19 and 25 = (5 + 8 + x + 19 + 25)/5 = (x + 57)/5 But we're told the mean is 14. Therefore, (x + 57)/5 = 14 ⇒ x + 57 = 5 × 14 ⇒ x + 57 = 70 ⇒ x = 70 - 57 = 13
Which of the following is correct? All of the girls and all of the boys, in conjunction with the school board. Just when we thought it was safe to go into the water. When Gabe saw Tom eating the peach, he became hungry. Whenever storms hit the shore and erode the beaches.
Correct answer: When Gabe saw Tom eating the peach he became hungry.
Which of the following sentences is correct? To run around all afternoon and make a lot of noise. Whenever I eat bananas, I get very full and sometimes I can't eat anything else for a whole day I get sick sometimes too. When I have a lot of work to do, I always eat lunch at my desk. Brian's best efforts to lift the chair.
Explanation: Correct answer: When I have a lot of work to do, I always eat lunch at my desk.
The roots of the quadratic equation 6x2 + 7x - 5 = 0 are: 5/2 and -1/3 -5/2 and 1/3 -1/2 and 5/3 1/2 and -5/3
Explanation: Correct Answer: 1/2 and -5/3 6x2 + 7x - 5 = 0 Þ 6x2 + (10x - 3x) - 5 = 0 Þ 2x (3x + 5) - 1(3x + 5) = 0 Þ (2x - 1) (3x + 5) = 0 Þ 2x - 1 = 0 or 3x + 5 = 0 Þ 2x = 1 or 3x = -5 Þ x = 1/2 or x = -5/3
What is the mean of the squares of the numbers 1, 2, 3, 4 and 5? 225 13 11 9
Explanation: Correct answer: 11
In a class of 30 students, 18 are boys. What percent of the students are boys? 54 60 64 75
Explanation: The Correct answer is: 60 To find the percentage of students that are boys, divide the number of boys by the total number of students. 18 / 30 = 0.6. Convert this decimal to a percentage by moving the decimal point two places to the right. Whenever a question asks, what percentage of the total is a certain part, divide the part by the whole.
Which of the following is correct? I hate getting up in the morning I'm so tired. Hand me the hammer and the nails I'll let you know when I'm done with them. I couldn't believe the number of people at the exhibit; it was mind boggling. Big Bertha is the name I gave to my bull dog, my other dog is named Frank.
I couldn't believe the number of people at the exhibit; it was mind boggling.
A colleague of yours is having a hard time managing his students. They do not pay attention to him when he tries to bring order to the class and they are not doing well in his class. He asks you if you know why he is having such a hard time. Which of the following statements would be the most appropriate response? Well, you're pretty much a wimp and you let them walk all over you! What do you want me to do? Teach your class for you? You have to work it out yourself. I've got some ideas. They just might help. Are you willing to listen? I don't know. I'm no great problem solver. Maybe you should ask the principal.
I've got some ideas. They just might help. Are you willing to listen?
At the end of first grade, the teacher gives her students a fluency assessment. She discovers the following: Number of students Reading Level 7 20-25 WPM 15 60-90 WPM 3 90-110 WPM Which of the following is true? Most of the class is below accepted fluency level for first grade. Most of the class is above fluency level for first grade. Most of the class scores at the average reading rate for first grade. None of the class is below average reading rate for first grade.
Most of the class scores at the average reading rate for first grade.
In a 2000 report, the NRP (National Reading Panel) supports teaching six comprehension strategies. Which of the following is not one of the supported strategies? Monitoring comprehension Using graphic and semantic organizers Summarizing Multilevel grouping
Multilevel grouping
Select the answer choice that corrects an error in the underlined portion. If there is no error, choose D indicating that no change is necessary. This book is an (A) elemental part of your studies. (B) You're advised to (C) cite it often in your thesis. elementary Your site No change is necessary.
No change is necessary.
Mr. Gunn, a sixth grade teacher, is using a word wall in his language arts class. Which of the following would be least appropriate for placement on this wall? Challenge spelling words Vocabulary words Context words (from literature) Related words in word families
Related words in word families
Your student has written a paper about prohibition in the 1920s. He presents his paper to you as a finished product. You conference with him and tell him he needs to add more information about how the prohibition act was ratified as an amendment to the Constitution. He returns to his desk to do some more research. What stage of writing might he be in? Prewriting Drafting Editing Revising
Revising
A third grade teacher is using the following activity with a reading group. Which of the following is most likely her objective for this activity? Procedure: Review a list of previously introduced affixes. These affixes will appear on cards. Ask students to read the affixes in unison. Introduce a list of root words. This list will be posted. Ask students to read the root words in unison. Model picking a prefix or suffix from a pile of cards (example un-, -able); match the affix with a root word and provide the meaning. For example: un- happy means not happy. Have the students take turns following this procedure. If the student cannot create a word or provide a meaning, repeat modeling. Students return the prefix or suffix card to the bottom of the pile. Students will construct words with prefixes and suffixes and will give the meaning of the word. Students will identify root words. Students will define new words. Students will understand that affixes change the meaning of words. Students will build automaticity with phonetically regular words.
Students will understand that affixes change the meaning of words.
Ms. D's kindergarten classroom includes a high Ms. D's kindergarten classroom includes a high proportion of ELL (English Language Learners.) She notices that they are having a hard time learning to read their high-frequency words. She has a Word Wall and practices with flash cards, but her students are confused. What might she do to most effectively help these struggling students? Send home flash cards and ask parents to review every night. Test the students on the words every week. Tell a story which includes a high-frequency word. Show the word as you use it. Ask listeners to raise their hands when they hear the word. Then ask a student to tell a story using the word and again have the listeners raise their hands. Point out the words on the Word Wall every day. Ask your students to point to the word you call out. Give your students flip charts with the words on them. Have them practice with a partner every day. Add new words a few at a time until they can read all of the words.
Tell a story which includes a high-frequency word. Show the word as you use it. Ask listeners to raise their hands when they hear the word. Then ask a student to tell a story using the word and again have the listeners raise their hands.
Your students read the passage and then answer a series of multiple choice questions about it. What type of assessment is this? Divergent Convergent Fluency Deductive
The Correct answer is" Convergent Convergent questions have only one correct answer. Example: What is the main character's name? Divergent questions may have more than one correct answer. Example: How would you describe the setting for this story?
If 4a = b, then a = b - 4 b/4 b + 4 a(b + 4)
The Correct answer is: b/4 One of the basic principles of algebra is that whatever you do to one side of an equation you must also do to the other side. If you divide both sides of this equation by 4, you get a = b/4.
Randall bought a notebook computer and a printer together for a total cost of $960. If the computer cost $700 more than the printer, how much did the printer cost? $260 $180 $130 $210
The Correct answer is: $130 Let's set this up as an equation. We'll use x to represent the cost of the printer. The computer costs $700 more than the printer, so x + (x + $700) = $960. 2x + 700 = 960 2x = 960-700 2x = 260 x = 130
Ellen earns $12.40 an hour for the first 8 hours that she works each day. She earns time and a half for any time she works after 8 hours. How much does she earn in a five-day week if she works an average of 9 hours a day? $589.00 $550.00 $496.00 $620.00
The Correct answer is: $589.00 Ellen works an average of 9 hours a day. For the first 8 of those hours, she makes $12.40 an hour, so for the first 8 hours each day she makes $99.20. In the 9th hour, she makes time and a half, so she makes $18.60 for that hour. If you add $99.20 and $18.60, you see that she makes $117.80 for a 9 hour day. In a five-day week, she makes 5 * $117.80 = $589.00.
What is 80% of 0.45? 4.5 3.6 0.36 .036
The Correct answer is: 0.36 Convert 80% to a decimal by moving the decimal point two places to the left. 80% = 0.8. Then multiply 0.8 * 0.45. The answer is 0.36.
A school district has an annual budget of $42 million. It spends approximately $2.6 million on transportation. Which of the following fractions most accurately portrays the portion of the annual budget that is spent on transportation? 1/16 1/12 1/8 1/9
The Correct answer is: 1/16 Convert all the answers to decimals by dividing the numerators by the denominators. 1/16 = 0.0625, 1/4 = 0.25, 1/12 = 0.083, 1/8 = 0.125, 1/9 = 0.111. Now divide the amount spent on transportation by the total budget. $2.6 million / $42 million = 0.062. The fraction closest to this value if 1/16.
What is 1/4 of 2/3? 1/2 1/4 1/6 1/12
The Correct answer is: 1/6 To multiply fractions, multiply the numerators by each other and the denominators by each other. 1/4 * 2/3 = 2/12, which can be reduced to 1/6.
Jan is 5 years older than Mary, and Sam is 6 years older than Jan. The total of their ages is 46. How old is Mary? 14 18 10 12
The Correct answer is: 10 Let's use m to represent Mary's age. Then Jan's age is m + 5, and Sam's age is m + 5 + 6. Their combined ages are m + (m + 5) + (m + 5 + 6) = 46. You can rewrite this equation like this: 3m + 16 = 46. Subtract 16 from both sides of the equation and you get 3m = 30. So m = 10.
Roy cycles up a hill on a road 12 miles long at an average speed of 8 miles per hour. He then cycles down the same road at an average speed of 24 miles per hour. What is his average speed for the whole journey? 10 mph 102/7 mph 6 mph 12 mph
The Correct answer is: 12 mph Step 1 Find the time taken for each part of the journey, using Time = Distance divided by Average speed. Then find the total time. Time to go up the hill = 12 miles /8 mph = 1½ hours = 1 hour 30 minutes Time to go down the hill = 12mile /24 mph = ½ hour = 30 minutes \ Time for the whole journey = 1 hour 30 minutes + 30 minutes = 2 hours Step 2 Find the average speed for the whole journey using Average speed = Distance / Time The total distance of the journey was 24 miles, because he traveled a 12-mile road twice (12 * 2 = 24). Average speed for the whole journey = 24 miles / 2 hours = 12 miles per hour
W = 10 L = 14 What is the area of the rectangle above, with width 10m and length 14m? 140 m2 14 m2 48 m2 24 m2
The Correct answer is: 140 m2 The area of a rectangle is equal to the length times the width: A = l * w A = 14 m * 10 m A = 140 m2
What is 2/3 divided by 5/8? 5/12 5/4 16/15 3/4
The Correct answer is: 16/15 To divide 2/3 by 5/8, invert 5/8, and then multiply. To multiply fractions, multiply the numerators by each and the denominators by each other. 2/3 * 8/5 = 16/15.
Patricia earns $42,000 a year and pays $7,500 in income taxes. Approximately what percent of her income does she pay in income taxes? 12% 16% 20% 18%
The Correct answer is: 18% To find what percent of her income Patricia pays in income taxes, divide the amount of her taxes by her income. 7,500 / 42,000 = 0.179. Convert this decimal to a percent by moving the decimal point two places to the right. 0.179 = 17.9%. When a question asks, what percentage of the total is a certain part, divide the part by the total.
There are four kings and four queens in a standard deck of 52 cards. What is the probability that a card drawn at random will be a king or a queen? 2/13 1/13 1/8 1/12
The Correct answer is: 2/13 Eight of the 52 cards are kings and queens. So the probability that a king or queen will be drawn at random is 8/52. You can reduce this fraction to 2/13.
If x = 2y2 +3 and y = 3, what is the value of x? 21 39 9 24
The Correct answer is: 21 Solve the equation by substituting 3 for y. x = 2(32) + 3. You can rewirte this as x = 2(9) + 3, or x = 18 + 3, or x = 21.
What is 25% of 84.80? 21.1 20.20 22 21.2
The Correct answer is: 21.2 First convert 25% to a decimal by moving the decimal point two places to the left. 25%=0.25 Now multiply 0.25 times 84.80. 0.25 * 84.8 = 21.2.
One side of a triangle measures 12 inches and another side measures 15 inches. What is a possible measurement of the third side? 24 inches 28 inches 30 inches 32 inches
The Correct answer is: 24 inches To make a triangle, the length of the third side must be less than the sum of the other two sides (12 inches + 15 inches = 27 inches). Only one of the choices meets this requirement.
Rate the following student response for details based on the following rubric: Score of 5: Elaborates using striking imagery or metaphors Score of 4: Elaborates using concrete language and details Score of 3: Ideas are elaborated effectively using some specific concrete details Score of 2: Shows little purposeful use of details Score of 1: No attempt to elaborate using details or may attempt to elaborate by repetition of initial statement. Prompt: Charity is disappointed when a snowstorm comes the day of her father's return. Describe Charity's feelings. Relate this to a time when you have been disappointed. Use details from the story and from your experience. In the story, Charity was really upset. She wanted to have her father come home for the holidays but the snow would now get in the way. Charity was looking out of her bedroom window when she saw the snow coming. She made a wish on the only star she could see but then the snow got in the way. If her father didn't make it home, would Christmas be the same? Once I was upset because my father would not take me to the ball game with him. I asked and asked but he refused because we would get home too late. I was upset just like Charity.
The Correct answer is: 3 Score of 3: Ideas are elaborated effectively using some specific concrete details. The writer uses some details from the text and tries to relate these to a personal experience. More details in the similar experience would have raised the score.
If the sum of two numbers is 280 and their ratio is 6:1, what is the smaller number? 60 30 45 40
The Correct answer is: 40 Let's call the smaller number x. Then the larger number is 6x, because it is equal to six times the smaller number. We know that the smaller number, x, plus the larger number, 6x, = 280. So x + 6x = 280, or 7x = 280. To find the value of x, divide both sides of the equation by 7. x + 6x = 280 7x = 280 Divide both sides by 7 to solve: 7x / 7 = 280 / 7 x = 40
Which inequality represents the following statement: Three more than four times x is greater than 45 45 < 4x -3 4x + 3 > 45 (x + 3)/4 > 45 3/4(x) > 45
The Correct answer is: 4x + 3 > 45 Four times x is 4x. Three more than four times x is 4x + 3. So 4x + 3 > 45.
One rod equals 16.5 ft. How many inches are there in 3 rods? 495 59.4 594 45.9
The Correct answer is: 594 There are 16.5 feet in a rod, so in 3 rods there are 3 * 16.5 feet or 49.5 feet. But the question asks about inches, so you need to multiply 49.5 * 12. The answer is 594.
A rectangular deck has one side that measures 12 feet and another side that is 2/3 as long. What is the area of deck? 108 square feet 36 square feet 72 square feet 96 square feet
The Correct answer is: 96 square feet One side of the deck is 12 ft long. Another side is 2/3 as long, or 8 ft. The area is equal to the length times the width. 12 ft * 8 ft = 96 square feet.
Choosing the correct reading format supports student interest and success. Which of the following is most correct about reading format selection? Any reading format can be used with all readers. A reading format should make the lesson multi-level in order to maximize the number of students who can benefit from it. Struggling readers can read a selection a grade-level above if they have high-interest. One reading format can meet the needs of everyone in a class.
The Correct answer is: A reading format should make the lesson multi-level in order to maximize the number of students who can benefit from it. Choosing the correct reading format works to the benefit of a greater number of students. The reading format should support the struggling readers. A selection that is too difficult will frustrate these readers even if it is a high-interest choice. A reading format which is multi-level will reach a greater number of students. It is a good idea to vary the composition of your groups in order to use a variety of comprehension strategies and reach all readers.
You are working with two geometric figures, a rectangle that has sides of 16 and 20 and a square that has the same perimeter as the rectangle. How can you find the area of the square? Add 16 and 20, double this sum, divide by 4, then square the quotient. Add 16 and 20, double this sum, divide by 4, then multiply the quotient by 2. Add 16 and 20, divide by 4, then square the quotient. Add 16 and 20, double this sum, then square the quotient.
The Correct answer is: Add 16 and 20, double this sum, divide by 4, then square the quotient The first step in solving this problem is to find the perimeter of the rectangle. To do this, add the length and width and multiply by 2. You know that the square has the same perimeter as the rectangle, so divide this number by 4 to find the length of one side of the square. Now to find the area of the square, multiply one side by itself (square it).
Your second grade students are asked to pick the two best pieces from their writing portfolios to include in their permanent portfolios. They are then asked to tell why they chose each piece. Bethany writes: I liked that I used capitals and periods. Bethany's assessment is: Inappropriate. She should have written about the types of writing she chose. Appropriate. Evaluation of a piece can be based on many writing aspects. Appropriate. Bethany used correct spelling and conventions. Inappropriate. Bethany should have said that this piece was written at the beginning of the school year.
The Correct answer is: Appropriate. Evaluation of a piece can be based on many writing aspects. When students are asked to choose their best pieces, they are evaluating their work. The skills they have learned over the course of the year should influence these choices. Using conventions correctly is a skill learned in second grade and Bethany is proud that she has mastered this. Portfolios show growth over time but choosing a piece can be based on many criteria.
Anthony is reading to his teacher. He reads slowly and has to stop often to decode. What is Anthony lacking in his reading? Accuracy Automaticity Prosody Focus
The Correct answer is: Automaticity
Your students read the passage. Peter reads "apple truck" as "apple tree." You conclude that Peter is using which type of reading strategy? Automatic reading Context clues Fluency Cognitive clues
The Correct answer is: Context clues Peter expects the word "tree" since apples grow on trees. Readers often use information from context to minimize the need for decoding. Automatic reading is recognizing words without having to decode.
Which of the following questions requires a critical level of comprehension? What did the children plant in their garden? The children sift the soil in the garden before planting. What does the word sift mean? Do you think the children could really plant and take care of a garden? Why, or why not? What did the children do after they put the seeds into the soil?
The Correct answer is: Do you think the children could really plant and take care of a garden? Why, or why not? Factual questions are drawn directly from the text. Sequence questions list steps in order. Contrast questions ask students to compare or contrast. Supporting details should be included. These types of questions help with literal interpretation. An interpretive question is the second level of understanding. Students must infer, find main idea and supporting details, determine point of view, or draw conclusions. At the critical level of interpretation students must determine fact from opinion, detect bias, respond emotionally, judge the actions of characters, or judge the qualifications of the author. This question asks the students to make a judgment about the characters.
Which of the following is an example of parallelism used to increase coherence? Paula sorted the shoes neatly into pairs. She was efficient about her sorting. The author read rapidly. His voice was strong and filled the auditorium. The runners arrived at the finish line. They had been riding uphill for most of the race. They had also charged through a thunderstorm. During the early weeks of third grade, the math teacher reviewed last year's curriculum but introduced little new material or more advanced concepts..
The Correct answer is: During the early weeks of third grade, the math teacher reviewed last year's curriculum but introduced little new material or more advanced concepts. This example uses parallel construction for coherence. The teacher reviewed but did not introduce. Parallelism enhances coherence by clearly relating paired or opposed units. The following example might have been rewritten to include parallel structure: The author read rapidly. His voice was strong and filled the auditorium. The author read rapidly but strongly, his voice filling the auditorium.
Teachers often conduct mini-lessons when teaching writing. Which of the following is most important when planning writing mini-lessons? Each mini-lesson should focus on a single point that is emphasized by the teacher. Mini-lesson should follow the curriculum so that skills can be acquired sequentially. Writing lessons should always be connected to reading questions. Teacher writing in a mini-lesson should never be on the same topic as the students' writing.
The Correct answer is: Each mini-lesson should focus on a single point that is emphasized by the teacher. Mini-lessons are short lessons which focus on a single skill. This is a good way for the teacher to model writing strategies. Teachers can write along with the students on the same topics or choose a model which will effectively communicate the strategy being targeted.
Which kindergarten classroom is the best example a print-rich environment? In classroom A, the teacher reads a picture book every day. Her class visits the library once a week and has a daily drop everything and read time. In classroom B, the teacher displays colorful posters. She uses phonics instruction and has her students complete a worksheet about the week's letter every day. In classroom C, the teacher labels objects in the rooms, provides a large library and reads aloud every day. Colorful posters of cartoon characters showing the various phonics rules decorate the walls. "Drop, everything and and read" time is scheduled. Students share the reading of big books with the teacher. In classroom D, the teacher uses a combination of whole language skills and phonics. She provide worksheets for each of these approaches and assigns reading homework. Her class is allowed to take home two books per week from the classroom library. The teacher rewards students who read eight books a month with a coupon for the school store.
The Correct answer is: In classroom C, the teacher labels objects in the rooms, provides a large library and reads aloud every day. Colorful posters of cartoon characters showing the various phonics rules decorate the walls. "Drop, everything and and read" time is scheduled. Students share the reading of big books with the teacher.
Using a graphic organizer would be most helpful for students in which stage of the writing process? Pre-writing Editing Drafting Presentation
The Correct answer is: Pre-writing Graphic organizers are good tools for helping students organize their writing. A student could use a graphic organizer to sort main idea and details during the pre-writing stage or to order events.
Safety in the city Walk in open areas Pay attention to traffic signals Keep your purse close to your body Know where you are going Follow street signs Tripping Jay-walking Police Look at the passage. Which stage of writing is your student employing? Drafting Prewriting Editing Revising
The Correct answer is: Prewriting During the prewriting stage, the writer gathers and organizes information. Drafting is the "getting it down on paper" stage when the student writes sentences or paragraphs to begin their writing piece. Revising is when writers reread, evaluate and polish their piece. Editing involves writing conventions such as spelling and grammar. Publishing is when the writer presents a finished piece.
Mrs. Jones is introducing a non-fiction selection about frogs and toads to her second grade class. Taminy raises her hand and says that frogs and toads are "nasty because they give you warts." Several other students chime in with the same information. Mrs. Jones tries to explain but her class overrides her factual information with their own notions. What aspect of comprehension is Mrs. Jones's class dealing with? Questioning Predicting Prior Knowledge Meaning
The Correct answer is: Prior Knowledge
Marc is a struggling reader in Mr. Leverman's fifth grade classroom. Marc's mother has asked Mr. Leverman to suggest books which will help Marc improve his reading. Based on Marc's reading level which of the following would be most appropriate? RL = Readability Level IL = Interest Level LG = lower grade MG= middle grade UG = upper grade RL = 2.9 IL = MG RL = 4.4 IL = LG RL = 5.7 IL = MG RL = 4.9 IL = UG
The Correct answer is: RL = 2.9 IL = MG Readability formulas use objective measures to analyze text and predict which materials can be read by individual students. Students show the most progress when they regularly practice reading in their zone of proximal development (ZPD). This is a range where the reading is not too challenging but not too easy. Students who are reading below grade level can read books with low readability levels but higher interest levels. Mr. Leverman should suggest books in Marc's ZPD with high interest levels for middle readers.
Which characteristic of writing is being specifically displayed in the following selection? Harry, Ron and Hermione make an awesome trio. When they enter the forbidden corridor, they work together to get past the three-headed dog. Harry plays the flute to lull the dog to sleep so that Ron can jump into the trapdoor. Then Hermione plays while Harry slips past the sleeping monster and jumps into the hole. Hermione follows close behind before the dog stirs. Working together, they defeat all of the protections and reach their goal. Their friendship helps them fight the evil forces in their path. Elaboration Reference to text Voice Tone
The Correct answer is: Reference to text
Which pattern of development would be most common for descriptive writing? Chronological Spatial Classification Expanding on examples
The Correct answer is: Spatial Descriptive writing most often uses a spatial organization pattern, beginning at one point and surveying others in an orderly way. Narrative writing will most likely use a chronological pattern of development. With an illustrative pattern, an example may be given and expanded upon. Division or classification is often used in expository writing. Details are divided into parts or sorted into categories.
Which type of context clue would be used in the following sentence? Caroline _________________ across the dance floor. Contrasting Syntactic Morphemic Phonemic
The Correct answer is: Syntactic
A student has 12 pens, 6 pencils, 3 markers, and one highlighter. Which of the following is false? The ratio of pens to pencils is 2 to 1 Pens make up over 50% of the total number of items The ratio of highlighters to pencils is 6 to 1 The ratio of markers to pencils is 1:2
The Correct answer is: The ratio of highlighters to pencils is 6 to 1 A ratio is very similar to a fraction and in many ways can be thought of as a fraction. There are 12 pens and 6 pencils which can be described as 12/6 or 12:6. A colon is the symbol for ratio. Ratios can be simplified just as fractions so 12:6 = 2:1. The ratio of pens to pencils is 2 to 1 is true. If we add all of the items 12 + 6 + 3 + 1 it equals 22. A quick way of solving this is to consider how many items would be 50% or one half of 22. That would be eleven. Since there are 12 pens, Pens make up over 50% of the total number of items is true. Another way is to divide 12 by 22 and determining that this is greater than 50%. There is one highlighter and 6 pencils or a ratio of 1 to 6, not 6 to 1. Therefore, The ratio of highlighters to pencils is 6 to 1 is false. Since we are asked to find which answer is false, this is the correct answer. Finally, there are 3 markers and 6 pencils, or a ratio of 3:6, which simplifies to 1:2. Therefore, the ratio of markers to pencils is 1:2 is true.
You are reading the notes made by the reading specialist at your school after she tested an incoming student. Which comment is an example of "miscue analysis?" The student had a fluency rate of 132 wpm. The student repeatedly read "str" as "st" as in "stranger" as "stanger." The student could not retell the story. The student did not use the characters' names during retelling.
The Correct answer is: The student repeatedly read "str' as "st" as in "stranger" as "stanger." Retelling is a powerful comprehension tool. A teacher notes how much the student can recall, including characters, setting and plot. This will help the teacher to assess a student's comprehension. Running records measure fluency and word identification skills. A miscue analysis would look for missed words and try to find patterns. An anecdotal record assesses the processes a student uses to solve a problem.
Andy is a kindergarten student who is participating in Kid-Writing activities. He writes the following: mi dawg iz big. he runs n runs wth me. he finds a bawl. i luv mi dawg. At which stage of spelling development is Andy? The pre-communication stage The pre-phonetic stage The transitional stage The correct spelling stage
The Correct answer is: The transitional stage The stages are: Pre-communication stage: The student randomly uses letters. Pre-phonetic stage: The student uses some letters correctly. Phonetic stage: The student spells words the way they sound. Transitional stage: The student uses both correct spelling and phonetic spelling. Correct spelling: The student spells the words correctly. Andy is correctly spelling some, but not all words. He spells some words phonetically.
Mr. Leeds breaks his students into literature circles once a week for discussion. What is the primary benefit of literature circles? They require students to expand their reading. They encourage students to share reading experiences. They help students make formal presentations in class. They help teachers evaluate student comprehension.
The Correct answer is: They encourage students to share reading experiences. Literature circles and book clubs provide readers with opportunities to share reading experiences with a group. These give students a real-life purpose for reading. These help them hone their speaking and listening skills.
Choose any two whole numbers and calculate the following: 1. Add the larger number to two times the smaller number 2. Subtract the smaller number from the larger This gives you two new numbers. If you find the difference between these two new numbers, what do you always get? The larger of the numbers you first chose The sum of the two numbers you first chose Three times the smaller number you first chose Three times the larger number you first chose
The Correct answer is: Three times the smaller number you first chose Generally, if the numbers are a and b with a > b, then 1. Add the larger number to two times the smaller number ⇒ a + 2b 2. Subtract the smaller number from the larger ⇒ a - b The difference between these two new numbers = (a + 2b) - (a - b) = a + 2b - a + b = 3b 3b is 3 times the smaller number you first chose. Try a simple example: if I choose, say, 8 and 5, then: 1. Add the larger number to two times the smaller number ⇒ 8 + 2 * 5 = 18 2. Subtract the smaller number from the larger ⇒ 8 - 5 = 3 The difference between these two new numbers = 18 - 3 = 15 and 15 = 3 * 5, which is 3 times the smaller number I first chose, i.e. 5. Note that some of the other answers may be true in some cases, but Three times the smaller number you first chose is the only answer that is ALWAYS true.
Your first grade team purchases a weekly news magazine which you use with your students. Many teachers use weekly news magazines in their classrooms. What might be a good reason to use news magazines in the reading classroom? To help with decoding skills To build background knowledge Lesson planning is already done by the company providing the magazines. They are reproducible so the whole class can be reading the same articles.
The Correct answer is: To build background knowledge
Mrs. Ames has each of her students keep a portfolio of writing samples during the school year. What most likely is her purpose for these portfolios? To help students improve a specific writing skill To create displays for the classroom's bulletin boards To keep a record of the grades given for each assignment To observe each student's general writing development over the school year
The Correct answer is: To observe each student's general writing development over the school year Portfolios are collections of work used to measure progress over time. Teachers might delineate criteria for selection of pieces. Students might include reflection pieces on selected work. Portfolios provide a clear picture of student progress.
Which of the following questions would be an appropriate prompt for writing in the content areas? Why do birds migrate? What reasons do they have for migrating? Write a story about a bird. Make sure you describe your bird with good details. If you had a bird for a pet, what would you do with it? If you were a bird, where would you like to fly to?
The Correct answer is: Why do birds migrate? What reasons do they have for migrating?
If S is the set of integers, x, satisfying the inequality x2 ≤ 4 and T is the set of integers, y, satisfying the inequality 0 ≤ y ≤ 2, then which of the following statements is true? n(S) = n(T) n(S) = 2n(T) n(S) ≤ n(T) n(S) > n(T)
The Correct answer is: n(S) > n(T) If x is an integer and x2 ≤ 4 ⇒ -2 ≤ x ≤ 2 ⇒ S = {-2, -1, 0 ,1, 2} ⇒ n(S) = 5 If y is an integer and 0 ≤ y ≤ 2, ⇒ T = {0, 1, 2} ⇒ n(T) = 3 The only statement that is true, therefore, is n(S) > n(T)
Which of the following is correct? Frankly, I prefer her manner over her sister's she's so rude. The trees are obstructing the view of our house; there are so many of them. The flowers complement the landscaping they're the right size and color. After doing all that I have done for her!
The trees are obstructing the view of our house; there are so many of them.
Read the following prompt and the paragraph written by a third grade student and choose the correct evaluation for it from the choices below. Choose an animal you know about. Write a paragraph telling why this animal is suited to its habitat. The dessert is the bestest place to live if you are a scorpian. the dessert is hot. the dessert is not too rainy so that the scorpian will not drown in a puddle. the scoripian has a stinger for stinging his prey. the insects and animals he likes to eat live in the dessert. He stings his prey with his stinger tail and then has a tasty meal. People who live in the dessert have to check their shoes before putting them on because scorpians like to hid in dark places. they live in dark spaces and jump out to catch their prey. the desert is a good place to live if you are a scorpian. The writing lacks focus. He includes many distracting details. The writer adequately addresses the prompt. He includes supporting details for his argument. He needs to edit his work. The writer has minimally addressed the prompt. The writing lacks focus. He has to edit his work. The writer has misinterpreted the prompt. He is writing a descriptive paragraph. He needs to edit his work.
The writer adequately addresses the prompt. He includes supporting details for his argument. He needs to edit his work.
Select the answer choice that corrects an error in the underlined portion. If there is no error, choose D indicating that no change is necessary. The girls had to choose (A) between geography, history and science for (B) their elective (C) course of study. among there coarse No change is necessary
This answer is correct because there are three subjects. "Between" would be used when there are only two courses and the girls could choose between one or the other. "Among" is the correct choice if there are more than two options.
Choose the option that corrects an error in the underlined portion(s). If no error exists, choose "No change is necessary." I (A) will be buying a poodle for my aunt. She (B) loves dogs and she (C) will love this poodle! will buy is loving will be loving No change is necessary.
will buy
