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Proportion Practice Quiz

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About this activity

Test proportional reasoning

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Proportion Practice Quiz
 

Proportion Practice QuizOnline version

Test proportional reasoning

by Essam Farrag
1

If 3 apples cost $6, at the same rate, how much do 7 apples cost?

2

A map scale is 1 cm represents 5 km. If the distance on the map is 7.5 cm, what is the real distance?

3

If x/12 = 3/4, what is x?

4

If a:b = 4:9 and a = 8, what is b?

5

A recipe uses flour:sugar in 2:3. If flour is 10 cups, how many cups of sugar are needed?

6

If 5 is to 20 as x is to 80, what is x?

7

A recipe uses 3 cups of flour for 12 cupcakes. How many cups for 36 cupcakes?

8

If a map scale 1 cm represents 5 km, how many kilometers does 7 cm represent?

9

A car travels 150 miles in 3 hours. At the same rate, how far in 5 hours?

10

A class has 24 students with 6 boys. What is the expected number of boys in a class of 40 students with the same ratio?

11

If 9 is to 27 as x is to 81, what is x?

12

A map shows 2 cm representing 25 km. How many kilometers does 7 cm represent?

13

A salary increases from $2,000 to $2,500. By what factor did it increase?

14

If 40% of a number is 20, what is the number?

15

A recipe calls for 2 cups of sugar for 8 servings. How many cups for 20 servings?

Feedback

Unit price is $2 per apple; 7 × 2 = $14.

Real distance = 7.5 × 5 = 37.5 km.

Cross-multiply: 4x = 36 → x = 9.

Same ratio: b = (9/4)×8 = 18.

Sugar = (3/2)×10 = 15 cups.

Set up 5/20 = x/80. Solve x = 80*(5/20) = 20.

Proportion: 3/12 = x/36 → x = 36*(3/12) = 9 cups.

7 cm × 5 km/cm = 35 km.

Rate = 150/3 = 50 mph. 50×5 = 250 miles.

Ratio boys:total = 6:24 = 1:4. In 40 students, boys = 40×1/4 = 10.

9/27 = x/81 → x = 81/3 = 27.

Proportion: 2/25 = 7/x → x = 7×25/2 = 87.5 km.

Increase factor = 2500/2000 = 1.25.

0.40 × N = 20 → N = 20/0.4 = 50.

Proportion: 2/8 = x/20 → x = 20×(2/8) = 5.

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