Math Sample Questions

Lynn has 4 grades in science class. Each grade is worth 100 points. Lynn has an 85% average. If lynn makes 100% on each of the first 3 grades. What does she earn of her 4th grade?

40%

if x=5, what is the value of the algebraic expression 2x-x?

5

Simplify (5^2-2)^2+3^3

556

Micah invites 23 friends to his house and is having pizza for dinner. Each pizza feeds approximately four people. Micah does not want a lot of leftovers. How many pizzas should he order?

6

A fruit stand sells apples, bananas, and oranges at a ratio of 3:2:1. If the fruit salad sells 20 bananas, how many total pieces of fruit does the fruit stand sell?

60

In the fall, 425 students pass the math benchmark. In the spring, 680 students pass the same benchmark. what is the percent increase in passing scores from fall to spring?

60%

What is 5/8 as a percent?

62.5%

Robbie has a bag of treats that contains 5 pieces of gum, 7 pieces of taffy, and 8 pieces of chocolate. If Robbie reaches into the bag and randomly pulls out a treat, what is the probability that Robbie will get a piece of taffy?

7/20

What number is equal to (5^2 =1)^2=3

703

The formula for distance is d=rxt. How long will it take a plane to fly 4,000 miles from Chicago to London if the plane flies at a constant rate of 500 mph?

8 hours

what is the value of 3x+7x if x=8

80

Which number has a prime factorization of three odd numbers and one even number?

90

Which Number has the greatest value? 9,299 ones 903 tens 93 hundreds 9 thousands

93 hundreds

ken has 6 grades in English class. Each grade is worth 100 points. Ken has a 92% average in English. If kens first grades are 90, 100, 95, 83, and 87, what did Ken make for the 6th grade?

97 (92x6=552, then 90+100+95+83+87+455, then 552-455=97

The students in Mrs. Mathis' class want to know the probability of pulling a yellow ball out of a jar that contains fifty balls. What information do the students need to know to find the answer?

How many balls are in the jar?

Mrs. Omeira's class wants to find the probability of pulling out a red gumball out of a jar that contains 50 gumballs. What information do the students need to know to find the answer?

How many red gumballs are in the jar?

Ms. Noyes teaches a lesson on order of operations. What information do the students need to know before the lesson begins?

How to simplify exponents

Which quadrant is the point (-3,-4) located?

III

Mr. Pyle asks his students to answer a problem: There are 25 students in the class. Ten are picked up from school by a parent. Ten ride the school bus. Five attend an after-school program in the library. What percentage of students will go to the library after school? Of the following, which student's response is correct? Student A: 20% Student B: 25% Student C: 5% Student D: 30%

Student A:20%

Kim drives 75 mph for t hours. if t=times and d=distance, the equation d=75t describes Kim's drive. Which statement is true? The dependent variable is t because time depends on the distance kim travels. The independent variable is t because the time is being multipled by the independent rate of 75. The dependent variable is d because the distance depends on the number of hours kim drives the dependent and independent variable cannot be determined in the equation

The dependent variable is d because the distance depends on the number of hours kim drives

Which word problem is most appropriate when introducing percentages? Saundra puts $2000 in a savings account. The interest rate is 4.2%. How much interest does Saundra earn in a year? Ryan gets 35 questions correct on a test and scores 70%. How many questions are on the test? Amanda earns 200,00 and pays 19% income tax. How many dollars does Amanda pay in taxes? There are 20 students in the class. Five students have June birthdays. What percentage of students were born in June?

There are 20 students in the class. Five students have June birthdays. What percentage of students were born in June?

The students in Mr. Burd's class want to know if attendance affects math test scores. What information do the students need to know?

What is the mean attendance rate?

Each spring, the state gives a multiple choice test to every student in the first week of April using explicit instructions regarding security, time, and monitoring. Which type of test is described? a formative assessment an anecdotal record a standardized test remediation

a standardized test

Which of the following could be used as an informal assessment for determining a student's understanding of solid shape?

a teacher's observations and notes about each student during geometry work stations

When introducing equations to students, which step should Ms. Martin take first?

assign students to use mats and counters to demonstrate 3x+5=20

What are the coefficients and the degrees of the terms in the polynomial? 4x^3+5x^2+1

coefficients (4,5), degrees (3,2)

Which property is demonstrated by the equivalent expression? 7(3+5)=7x3+7x5

distributive

A second grade teacher has given students manipulatives and whiteboards. The teacher writes the following equation on the board: 12+5=9+? and has students write and solve the problem. Which algebraic concept is the teacher assessing?

equivalency of numbers

Amanda is having difficulty adding fractions with unlike denominators. with which of the following does Amanda need support? how to simplify an exponent how to multiply decimals how to find the least common multiple how to solve a multi-step equation

how to find the least common multiple

A kindergarten teacher puts students in pairs and gives each student a domino with dots on both ends. The teacher asks the students to count the number of dots and write the number on a whiteboard. The teacher then asks whose numbers are higher, whose are lower, and if any partners have equal numbers. The teacher is most likely helping the students understand...

how to identify and compare numbers

Which type of number is shown below? 3.65555555

integer

Which inequality is equivalent to 10<(or equal to) k-5

k<(equal to) 15

Kim and Chris are writing a book together. Kim writes twice as many pages as Chris. Altogether, there are 240 pages in the book. which equation shows how many pages Chris writes?

p+2p=240

Which three-dimensional solid has 2 triangular faces and 3 rectangular faces? pyramid cube rectangular prism triangular prism

rectangular prism

Mrs. Brotheron provides students with pattern blocks and asks the students to tile their desks, leaving no gaps and no overlapping tiles. What concept are the students learning?

tessellations

a first grade teacher provides students a part/part/whole mat and cubes. The teacher asks the students to find a way to make the number 7 using the cubes and mat. The teacher is most likely helping the students understand

the different number pairs that will equal the number 7

A kindergarten teacher gives students picture cards of various activities carried out throughout the day; she then asks the students to sort the pictures into groups and explain their reasoning. The teacher is most likely trying to assess

whether the students can identify which activities are done during each time of the day (morning, afternoon, night)

Out of 1,560 students at Ward Middle school, 15% want to take french. Which equation can determine how many students want to take french? x=1560/14 x=15/1560 x=1560x0.15 x=1560/100

x=1560x0.15

solve for x

x=6(3^0)

Justin has a summer lawn care business. Justin earns $400 per week by taking care of ten lawns. Justin pays $35/week in business-related expenses. The money Justin saves after x weeks is represented by the expressiveness x(400-35). If y represents Justin's total earnings, which expressions shows how many dollars Justin earns in a summer?

y=365x

Students board a bus at 7:45am and arrive at school at 8:20am. How long are the students on the bus?

35 minutes

If the pattern continues, what is the next number? 2,5,14,41,122

365

What is the value of the digit 4 in the number 654,123

4 thousand

Which expression is equivalent to dividing 300 by 12?

(120/12)+(180/12)

Which expression is equivalent to dividing 400 by 16?

(216/16)+(184/16)

Which number has the least value? 0.305 0.035 0.35 0.3

0.035

How many times larger is the digit 3 in the first number compared to the second number? Number 1- 846,307 Number 2- 209,023

100

What is the sixth term of the sequence if the pattern is to find the difference between the two preceding numbers and then multiply by -3? (3,0,-9,-36,...,...

135

a table is 150 centimeters long. How many millimeters long is the table?

1500mm

Which expression has only prime factors of 3, 5, and 11?

15x99

An ice chest contains 24 sodas, some regular and some diet. The ratio of diet soda to regular soda is 1:3. How many regular sodas are there in the ice chest?

18

which equation demonstrates the associative property of addition?

2+(1+5)=(2+1)+5

a vending machine contains 12 types of snacks: some snacks are salty and some snacks are sweet. The ratio of sweet snacks to salty snacks is 1:3. How many sweet snacks are in the vending machine?

3