7th grade ratio and proportion

Question 1

On a proportional graph of cost (y) against kilograms (x), the point (1, 8) is marked. What does this point tell you?

• A. Every kg costs 1 more than the last
• B. 8 kg cost 1
• C. 1 kg costs 8
• D. The graph starts at 8

Question 2

4/10 of a choir are sopranos and the rest are altos. What is the ratio of sopranos to altos, in simplest form? Type it like 2:3.

Answer 

Question 3

Red and blue tiles are in the ratio 7:5. How many times as many blue tiles as red tiles are there? Give a fraction, whole or mixed number.

Answer (as a fraction)

Question 4

On a drawing with scale 1 cm : 4 m, a path is 12 cm long. The drawing is redrawn with scale 1 cm : 8 m. How long is the path on the new drawing, in cm?

Answer 

Question 5

The line passes through (0, 0) and (3, 18). What is the constant of proportionality?

Answer 

Question 6

Solve: x / 16 = 8 / 8

x = 

Question 7

Is this relationship proportional? x: 2, 3, 9 → y: 18, 27, 81

• A. Yes, proportional
• B. No, not proportional

Question 8

y is proportional to x, and y = 4 when x = 2. Find the constant of proportionality k in y = kx.

Answer 

Question 9

Luis enlarges a scale drawing so every length is 2 times as long. Luis thinks the area will be 2 times as big. How many times as big is the area really?

Answer 

Question 10

Juice and water are mixed in the ratio 2:7. What fraction of the drink is juice? Give a fraction in simplest form.

Answer (as a fraction)

Question 11

A proportional graph passes through (2, 5). What is k? Give a fraction in simplest form.

Answer (as a fraction)

Question 12

On a map, 1 cm represents 25 km. Two towns are 7 cm apart on the map. How far apart are they really, in km?

Answer 

Question 13

y is proportional to x, and y = 9 when x = 6. Write y in terms of x. Type the right-hand side only.

Answer 

Question 14

Which table shows a proportional relationship?

• A. x 1, 2, 3, 4 → y 7, 28, 63, 112
• B. x 1, 2, 3, 4 → y 8, 9, 10, 11
• C. x 1, 2, 3, 4 → y 8, 15, 22, 29
• D. x 1, 2, 3, 4 → y 7, 14, 21, 28

Question 15

A model uses 1 cm for every 5 m. A real bridge is 55 m long. How long is it on the model, in cm?

Answer 

Question 16

Solve: 5 / 8 = 75 / n

n =