Math Core

This test covers ratios, ratio tables and their graphs, equivalent ratios, unit rates, percents, and converting units with ratios.

Question 1

A shelf holds 8 comic books and 11 novels. What is the ratio of novels to all the books on the shelf?

Question 2

At a camp, the ratio of counselors to campers is $1 : 7$ . There are 4 counselors. How many campers are there?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

Complete the ratio table. What number goes in the blank?

Pizzas	3	6	15
Slices	10	20	?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

The graph shows points from a ratio table. Which point with an $x$ -value of 4 belongs on the same line? Write it as an ordered pair.

Points from a ratio tableOpen in grapher →

Enter a point like (2, -3)

Question 5

What is $24 : 36$ in simplest form?

Question 6

Which ratio is not equivalent to $6 : 8$ ?

Question 7

Maya and Theo split 60 trading cards in the ratio $2 : 3$ . How many cards does Theo get?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

A cyclist rides 45 miles in 3 hours at a steady speed. What is her speed in miles per hour?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

Which is the better buy?

Question 10

A copier makes 24 copies in 2 minutes. How many copies does it make in 6 minutes?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

Write $\dfrac{13}{20}$ as a percent.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

What is $45\%$ of 60?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

Omar has read 20 pages of a book. That is $25\%$ of the book. How many pages are in the whole book?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

How many quarts are in 40 cups?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

A trail is 4,200 meters long. How many kilometers is that?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.