Grade 8 Ratios, Rates & Proportions worksheet
from Gradelings · Name: ______________________
How to explain it
- A ratio compares two amounts, like 2 : 3.
- A rate compares different units, like dollars per pen.
- A unit rate is the amount for 1: divide to find it.
Example: 6 pens cost $4.50. What is the price for 1 pen? Divide the cost by the number of pens. 4.50 ÷ 6 = 0.75. Answer: $0.75 per pen
Question 1
A bag has 30 red marbles and 24 blue marbles. What is the ratio of red to blue in lowest terms?
- 5:9
- 6:5
- 30:24
- 5:4
- 4:5
5:4
Hint: Divide both parts by their greatest common factor, 6: 30 ÷ 6 = 5 and 24 ÷ 6 = 4.
Question 2
5 : 9 = 40 : ?
answer box
72
Hint: 5 was multiplied by 8 to get 40, so multiply 9 by 8 too: 9 × 8 = 72.
Question 3
10 notebooks cost $3.50. What is the price of one notebook, in dollars?
answer box
0.35
Hint: Divide the total by the number of notebooks: $3.50 ÷ 10 = $0.35.
Question 4
A cyclist rides 420 km in 5 hours at a steady pace. What is the speed in km per hour?
answer boxkm/h
84 km/h
Hint: Speed is distance ÷ time: 420 ÷ 5 = 84 km/h.
Question 5
Pack A: 4 juice boxes for $1.80. Pack B: 12 juice boxes for $4.32. Which pack is the better buy?
- They cost the same per box
- Pack B
- Pack A
Pack B
Hint: Compare the price per box: Pack A is about 0.45 each and Pack B is about 0.36 each. The lower unit price is the better buy.
Question 6
A recipe for 6 people uses 2 cups of rice. How many cups are needed for 30 people?
answer boxcups
10 cups
Hint: 30 people is 5 times as many as 6, so use 5 times the rice: 2 × 5 = 10 cups.
Question 7
On a map, 1 cm stands for 50 km. Two towns are 12 cm apart on the map. How far apart are they in real life?
answer boxkm
600 km
Hint: Each centimetre is 50 km, so 12 cm × 50 km = 600 km.
Question 8
24 out of 80 students walk to school. What percent walk?
answer box%
30 %
Hint: Part ÷ whole = 24 ÷ 80 = 0.3, which is 30%.
Question 9
A bag has 2 red marbles and 6 blue marbles. What is the ratio of red to blue in lowest terms?
- 2:6
- 2:4
- 3:1
- 1:4
- 1:3
1:3
Hint: Divide both parts by their greatest common factor, 2: 2 ÷ 2 = 1 and 6 ÷ 2 = 3.
Question 10
4 : 5 = 20 : ?
answer box
25
Hint: 4 was multiplied by 5 to get 20, so multiply 5 by 5 too: 5 × 5 = 25.
Answer key
- 1. 5:4
- 2. 72
- 3. 0.35
- 4. 84 km/h
- 5. Pack B
- 6. 10 cups
- 7. 600 km
- 8. 30 %
- 9. 1:3
- 10. 25
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