Ratios, GCF, and Fractions: A 6th Grade Challenge

1. A recipe calls for 2 cups of flour and 3 cups of sugar. What is the ratio of flour to sugar?

• 2:3

• 2:1

• 1:3

• 3:2

2. If 12 apples and 16 oranges are in a basket, what is the greatest common factor (GCF) of the number of apples and oranges?

• 12

• 8

• 4

• 2

3. A school has a ratio of 5 boys to 3 girls. If there are 40 boys, how many girls are there?

• 32

• 20

• 24

• 30

4. Find the least common multiple (LCM) of 4 and 6.

• 12

• 10

• 14

• 8

5. Sarah has 3/4 of a yard of ribbon, and she uses 1/2 of it for a project. How much ribbon does she have left?

• 1/4 of a yard

• 5/8 of a yard

• 1/2 of a yard

• 3/8 of a yard

6. In a class, the ratio of students who like math to those who like science is 7:5. If there are 36 students who like math, how many students like science?

• 25

• 15

• 30

• 20

7. What is the GCF of 18 and 24?

• 6

• 8

• 4

• 12

8. A fruit punch recipe requires a ratio of 2 parts juice to 5 parts water. If you use 10 cups of juice, how much water do you need?

• 20 cups of water

• 15 cups of water

• 25 cups of water

• 30 cups of water

9. If you have 1/3 of a pizza and you eat 1/6 of it, how much pizza do you have left?

• 1/2

• 1/6

• 1/3

• 1/4

10. The LCM of 8 and 12 is needed to plan a party. What is the LCM?

• 16

• 24

• 20

• 30