Grade 6 · Math

Grade 6 Math questions and answers

Ratios, slope, integers, and the Pythagorean theorem. Written in American English for students, parents, and teachers in the United States.

Topics

Practice quiz

Question and answer list

Open a card to see the answer. These are original practice items for US elementary students — not a state test copy.

1. A ratio compares

Answer: two quantities

Ratios can be part-to-part or part-to-whole.

2. The ratio 3:4 can also be written

Answer: 3/4

A colon and a fraction can show the same ratio.

3. If a class has 2 teachers and 24 students, the teacher-to-student ratio is

Answer: 1:12

Simplify 2:24 by dividing by 2.

4. A recipe uses 2 cups flour to 1 cup sugar. For 4 cups flour you need

Answer: 2 cups sugar

The ratio 2:1 stays the same.

5. Equivalent ratios to 2:5 include

Answer: 4:10

Multiply both parts by the same number.

6. A map scale of 1 inch : 50 miles means 3 inches represent

Answer: 150 miles

3 × 50 = 150.

7. In 8 red marbles and 12 blue, the red-to-blue ratio simplified is

Answer: 2:3

Divide both by 4.

8. A unit rate is a ratio with

Answer: a denominator of 1

Miles per hour is a unit rate.

9. An integer is

Answer: a whole number or its opposite, including 0

… −2, −1, 0, 1, 2 …

10. On a number line, −3 is

Answer: 3 units left of 0

Negatives sit to the left of zero.

11. Which is the greatest?

Answer: −1

Closer to zero on the right is larger.

12. The opposite of −7 is

Answer: 7

Opposites add to zero.

13. −4 + 9 =

Answer: 5

Start at −4 and move 9 right.

14. 5 + (−8) =

Answer: −3

Adding a negative is like subtracting.

15. The absolute value of −12 is

Answer: 12

Absolute value is distance from 0.

16. A bank balance of −$20 means

Answer: you owe $20

Negative money is debt in this model.