Fractions, Ratios & Decimals: A Grade 6 Challenge

1. A recipe calls for 2/3 cup of sugar for every 1/2 cup of butter. What is the ratio of sugar to butter in simplest form?

• 4:3

• 3:2

• 2:1

• 5:4

2. If a class has 24 students and the ratio of boys to girls is 3:1, how many girls are in the class?

• 6

• 10

• 12

• 8

3. The least common multiple (LCM) of 4 and 6 is needed to schedule events. What is the LCM?

• 14

• 10

• 8

• 12

4. Sarah has 3/4 of a yard of fabric. She uses 1/2 of it to make a pillow. How much fabric does she have left?

• 1/4 of a yard

• 1/2 of a yard

• 5/8 of a yard

• 3/8 of a yard

5. A fruit basket contains apples and oranges in the ratio of 5:3. If there are 40 fruits in total, how many apples are there?

• 25

• 30

• 20

• 15

6. The greatest common factor (GCF) of 12 and 18 is needed for a project. What is the GCF?

• 3

• 9

• 12

• 6

7. A car travels 3/5 of a mile in 1/4 of an hour. What is the speed of the car in miles per hour?

• 2.4 miles per hour

• 1.5 miles per hour

• 4 miles per hour

• 3 miles per hour

8. If a recipe requires 1/3 cup of oil and you want to make 2.5 times the recipe, how much oil do you need?

• 5/6 cup

• 1/2 cup

• 1 cup

• 3/4 cup

9. A school has a ratio of teachers to students of 1:15. If there are 120 students, how many teachers are there?

• 6

• 8

• 10

• 12

10. Convert the fraction 7/8 to a decimal. What is the decimal equivalent?

• 0.875

• 0.75

• 0.9

• 0.8