Pre-Test: Math

What are the missing numbers in the pattern 15, 31, ___, 63, ___, 95? A. 47, 79 B. 47, 80 C. 55, 79 D. 51, 73

A. 47, 79

Martha surveyed 300 of the 21000 families living in her town to determine how many families owned dogs. The data below represents the results of her survey. If the 300 families are representative of all families living in her town, about how many families in the town own two dogs? Number of Families Exact Number of Dogs Owned 120 0 100 1 40 2 10 3 30 More than 3 A. 5600 B. 40 C. 2800 D. 80

A. 5600

All maple trees lose their leaves during the year. The tree in Henry's front yard lost it leaves. Therefore, the tree in Henry's front yard is a maple tree. Which conclusion concerning this argument is correct? A. The argument is invalid. B. The argument is both valid and invalid. C. The argument is neither valid nor invalid. D. The argument is valid.

A. The argument is invalid.

Five friends went out to dinner. Beth got sick on something she ate. She had chicken, mashed potatoes, fruit salad, green beans, and chocolate ice cream. Mitzi and Jose did not get sick. They both had steak, French fries, green beans, and chocolate ice cream. Kitty and Anne also got sick on something they ate. Kitty had the chicken, French fries, fruit salad, and chocolate cake. Anne had the steak, mash potatoes, fruit salad, and chocolate ice cream. What food caused three of the friends to get sick? A. fruit salad B. ice cream C. green beans D. chocolate cake

A. fruit salad The one common food item that Kitty, Anne, and Beth all ate was the fruit salad. Because Mitzi and Jose ate everything the other friends ate except for the fruit salad, and they were not sick after, the fruit salad was the culprit.

Which of the following is a good story problem to illustrate what 4 1/4 ÷ 1/2 means? #1: A recipe calls for 4 1/4 cups of milk. How much milk is needed for half a batch? #2: Mary has 4 1/4 yards of material. If each apron takes 1/2 yard of material, how many aprons can she make? #3: Jim needs 4 1/4 pounds of lentils. How many half-pound bags should he buy? A. #1, #2, and #3 B. #2 and #3 C. #1 and #2 D. #1 only

B. #2 and #3 Both directions are good.

Rebecca deposited $502 into a savings account that earns 6.95% interest per year. If she takes no money out of the account during the first years, which of the following are reasonably effective ways to estimate the amount that Rebecca will have in her account at the end of one year? #1. Add $502 and $6.95. #2. Multiply $500 by 107%. #3. Multiply $500 by 7% and then add $502. #4. Multiply 5 by $7 and then add 502. A. #2 and #3 B. #2, #3, and #4 C. #1, #2, and #4 D. #1, #2, #3, and #4

B. #2, #3, and #4

In Mr. Jones's 5th grade class, all of the children play one or more of the sports golf, tennis, or baseball during the summer. 21 children play golf, 24 children play tennis, 26 children play baseball, 12 children play tennis and golf, 13 children play tennis and baseball, 4 children play golf and baseball, and 3 children play all three sports. How many children in Mr. Jones's class play baseball and tennis and do not play golf? A. 13 B. 10 C. 9 D. 3

B. 10

Erica has some dimes and quarters in her pocket. The total value is $3.05. Which equation represents the how many of the coins are dimes and how many are quarters. Let d = the number of dimes and q = the number of quarters. A. 10d + 25q = 3.05 B. 10d + 25q = 305 C. d + q = 305 D. d + q = 3.05

B. 10d + 25q = 305 Because the total value is $3.05, that equals 305 pennies. There are 10 pennies in a dime, so the dimes equal 10d. There are 25 pennies in a quarter, so the quarters equal 25q.

Adrian and Alice go to a snack bar at the beach. The snack bar sells 3 kinds of sandwiches (hamburgers, cheeseburgers, and hot dogs), 3 flavors of drinks (orange, cherry, and grape soda), and 2 different side orders (French fries and chips). If a meal from the snack bar consists of 1 sandwich, 1 drink, and 1 side order, how many different meals are possible? A. 12 meals B. 18 meals C. 9 meals D. 8 meals

B. 18 meals Law of permutations: (3 x 3 x 2) = 18 to get all the different combinations possible.

Which of the following choices represents the correct order in terms of weight (from lightest to heaviest)? A. Compact automobile, large watermelon, recommended daily allowance of vitamin B-6 B. Size D battery, two liter bottle of soda, large watermelon C. Large watermelon, size D battery, two liter bottle of soda D. Large watermelon, compact automobile, flower vase

B. Size D battery, two liter bottle of soda, large watermelon

Write an equation to fit the data. Let n be the number in the group and c the cost of the trip. No. in Group Cost of Trip 2 $9 5 $15 6 $17 10 $25 A. c = n + 7 B. c = 2n + 5 C. c = 3n D. n = 2c + 5

B. c = 2n + 5

Which of the following are true about the following set of numbers: 3, 6, 9, 12, 15, 18? #1: Each number is a multiple of 3. #2: Each number has a factor of 3. #3: The numbers form an arithmetic sequence. #4: All of the numbers are composite numbers. A. #1, #2, and #4 B. #2 and #3 C. #1, #2, and #3 D. #1 and #2

C. #1, #2, and #3 Option B - "Factor": numbers or other things that get multiplied; "arithmetic sequence": a sequence of numbers such that the difference of any 2 successive members of the sequence is a constant.

Which of the following is equal to 25 km? A. 25,000 cm B. 2,500 mm C. 2,500,000 cm D. 250 m

C. 2,500,000 cm 1 m = 100cm/1000m = 1 km

Consider the following base-ten model: There are two flats, three rods, and six bits. From the following list of possible choices, if the flat represents 1, what number must this base-ten model represent? A. 2360 B. 0.236 C. 2.36 D. 236

C. 2.36 236 is a number that represents the flat as 100, not 1. 0.236 is a number that represents a flat of 0.1. Finally, 2360 is a number that represents a flat of 1000.

How much does a nickel (i.e., a U.S. coin) approximately weigh? A. 5 milligrams (mg) B. 0.5 kilograms (kg) C. 5 grams D. 50 grams

C. 5 grams

What is 570000 in scientific notation? A. 57 x 10^3 B. 5.7 X 10^4 C. 5.7 X 10^5 D. 5700 X 10

C. 5.7 X 10^5 (100,000) x 5.7

Martha is making Chocolate-Oat-Chip Cookies. What is the ratio of the amount of all-purpose flour to the amount of brown sugar? Chocolate-Oat-Chip Cookies Makes about 3 dozen cookies 1 3/4 cups all-purpose flour 1 teaspoon baking soda 1/2 teaspoon salt (optional) 1 1/4 cups packed brown sugar 1 cup (2 sticks) butter 1/2 cup granulated sugar 2 large eggs 2 tablespoons milk 2 teaspoons vanilla extract 2 1/2 cups quick or old-fashioned oats 2 cups (12-oz. pkg.) Semi-Sweet Chocolate Morsels 1 cup coarsely chopped nuts A. 4 : 3 B. 3 : 4 C. 7 : 5 D. 5 : 7

C. 7 : 5

Martha's recipe can make 3 dozen cookies and calls for 2 cups of semi-sweet chocolate morsels. If Martha has only 1/2 cup of Semi-Sweet Chocolate Morsels and all of the other ingredients she needs, about how many cookies can she make? A. 18 cookies B. 12 cookies C. 9 cookies D. 24 cookies

C. 9 cookies

Which of the following choices represents the correct order in terms of measurements (from smallest to largest)? A. Area of a square with a side of 4 cm; perimeter of a right triangle with sides 3 cm and 5 cm and a base of 4 cm; perimeter of a rectangle with length of 2 cm and width of 2 cm. B. Diameter of a nickel, diameter of the Earth, a 4-door automobile with a height of 6 feet C. Area of an isosceles triangle with a base of 2 cm and height of 5 cm; area of a circle with radius of 3 cm; an office chair with a height of 3 feet D. Length of a Blue Whale, diameter of the Earth, circumference of a circle with diameter of 8 cm.

C. Area of an isosceles triangle with a base of 2 cm and height of 5 cm; area of a circle with radius of 3 cm; an office chair with a height of 3 feet

To find 4 X 27, Marco calculated: 4 X 20 + 4 X 7. What property is illustrated? A. Associative B. Commutative C. Distributive D. Identity

C. Distributive Meaning: numbers distributed differently but lead to same result. Example: 2x(1+3) = (2x + 1) + (2x3)

What operation does the pattern below suggest? 6 = 6 6 + 6 = 12 6 + 6 + 6 = 18 6 + 6 + 6 + 6 = 24 6 + 6 + 6 + 6 + 6 = 30 A. exponents B. subtraction C. multiplication D. division

C. multiplication The value being multiplied by 6 to reach the end result increases by 1. (6 x 1) = 6; (6 x 2) = 12; (6 x 3) = 18, and so forth.

Arrange the following set of numbers in order from smallest to largest: 25%, 0.255, 0.0244, 5/16, 3/8 A. 0.0244, 5/16, 25%, 0.255, 3/8 B. 25%, 0.255, 0.0244, 5/16, 3/8 C. 5/16, 25%, 0.255, 0.0244, 3/8 D. 0.0244, 25%, .255, 5/16, 3/8

D. 0.0244, 25%, .255, 5/16, 3/8

What is 3.2 x10^6 in standard form? A. 0.000032 B. 0.00032 C. 320000 D. 3200000

D. 3200000 10 six times multiplied by 3.2

Which of the following is equal to 450 cm? A. 0.45 m B. 450 mm C. 4,500 km D. 4.5 m

D. 4.5 m 100 cm = 1 m

All pasta is delicious. If a food is delicious, then it is expensive. If a food is expensive, then it is found only in fine restaurants. Therefore, pasta is found only in fine restaurants. Which conclusion concerning this argument is correct? A. The argument is both valid and invalid. B. The argument is neither valid nor invalid. C. The argument is invalid. D. The argument is valid.

D. The argument is valid.