Mathematics Practice 1

Janelle makes a beaded key ring. She uses

12 beads total. Among the 12 beads are 3 purple beads and

6 green beads. What is the ratio of purple beads to green

beads?

• 3:6

• 6:3

• 1:2

• 3:4

Answer explanation

The ratio of purple beads to green beads is 1:2 because there are 3 purple beads and 6 green beads, which simplifies to 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

For every 100 bottles of water, 25 were fruit flavored.

Compare the number of fruit-flavored bottles of water

to all bottles of water.

• 1/4

• 4:12

• 50:150

• 1/25

Answer explanation

To compare the number of fruit-flavored bottles to all bottles, we have 25 fruit-flavored bottles out of 100, which simplifies to 1/4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

In a recipe, the ratio of salt to sugar is 1:7 and the ratio of sugar to pepper is 2:13. What is the ratio of pepper to salt?

• 2:19

• 13:1

• 1:13

• 91:2

Answer explanation

To find the ratio of pepper to salt, multiply the ratios of sugar to pepper (2:13) and salt to sugar (1:7) to get 2:91. Therefore, the ratio of pepper to salt is 91:2.

Eric walks 2/4 mile to the east every 5/7 of an hour. What is the rate of Eric's walk?

• 12/4

• 3 and 1/2

• 3 and 2/3

• 3 and 1/3

Answer explanation

Eric walks 2/4 mile in 5/7 of an hour, which simplifies to 1/2 mile in 5/7 of an hour. To find the rate, divide distance by time: 1/2 ÷ 5/7 = 3 and 1/2 miles per hour.

Tags

CCSS.7.RP.A.1

What type of number is -3? Select all that applies

• Whole Number

• Rational Number

• Integer

• Real Number

Answer explanation

-3 is a Rational Number because it can be expressed as a fraction (-3/1), an Integer as it is a whole number with no decimal part, and a Real Number as it can be located on the number line.

What type of number is 0

• Natural Number

• Irrational Number

• Whole Number

• None of the Above

Answer explanation

0 is considered a Whole Number because it is an integer that is not negative and includes zero.

In PEMDAS, letter E also represents exponents. In this equation, 2 + 5 - ( 8 -3 ) / 2³ ,

what should be the last step to solve it?

• Subtract 8 from 5

• Subtract 2 from 7

• Subtract 3 from 8

• Subtract 5 from 8

Answer explanation

The last step to solve the equation is to subtract 2 from 7, which results in 5.

Tags

CCSS.7.NS.A.3

• 35

• 42

• 30

• 27

Answer explanation

To solve the equation, follow the order of operations: 10 ÷ (3 + 2) × 4 + 5^2 + 6 - 9 = 10 ÷ 5 × 4 + 25 + 6 - 9 = 2 × 4 + 25 + 6 - 9 = 8 + 25 + 6 - 9 = 33 + 6 - 9 = 39 - 9 = 30. Therefore, the correct answer is 30.

Tags

CCSS.7.NS.A.3

The number of ice cream cones eaten is directly proportional to the amount of burgers available. If 10 ice cream cones were eaten when there were 50 burgers available, how many ice cream cones will be eaten if 75 burgers are available?

• 20

• 15

• 30

• 25

Answer explanation

Since the number of ice cream cones eaten is directly proportional to the amount of burgers available, the ratio is 10 ice cream cones for 50 burgers. Therefore, with 75 burgers available, 15 ice cream cones will be eaten (10/50 = x/75, x = 15).

Per 2 marbles, you would need 4 pens and vice versa. How many marbles would you need if you had 42 pens?

• 20

• 18

• 21

• 22

Answer explanation

If 2 marbles require 4 pens, then for 42 pens, you would need 21 marbles (42 pens / 2 pens per marble = 21 marbles).

Tags

CCSS.6.RP.A.3B