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Practice - Percentages, Ratios and Proportion - 09
Welcome to our KS3 Maths Quiz on Percentages, Ratios, and Proportion! The purpose of this quiz is to assess your skills and understanding while providing a fun and engaging experience. Armed with your innate intelligence and skills you've learned in class, you're perfectly equipped to tackle these questions. Let's embark on a math-tastic adventure. Here we go, let's crunch those numbers!
1 .
A group of friends shares a pizza. Fred eats 1⁄4 of the pizza, Sam eats 1⁄5 and the rest is eaten by Lucy. What fraction of the pizza does Lucy eat?
9⁄20
1⁄4
7⁄10
11⁄20
Fred and Sam eat 1?4 + 1?5 = (5?20 + 4?20) = 9?20 of the pizza. So, Lucy eats 11?20 (1 - 9?20) of the pizza.
2 .
If a shirt is on sale for 20% off and the original price is £35, what is the new price?
£28
£25
£32
£29
Find 20% of £35 by multiplying, 35 x 20 ÷ 100 = £7. Deduct this from the original price of £35 to get £28.
3 .
Your bank account contains £2,000. If it grows by 5% each year, how much will you have after one year?
£2,100
£2,050
£2,200
£2,150
Find 5% of £2,000 by multiplying, 2,000 x 5 ÷ 100 = £100. Add this to the original amount to get £2,100.
4 .
What is 45% of £250?
£112
£112.50
£125
£140
Find 45% of £250 by multiplying, 250 x 45 ÷ 100 = £112.50
5 .
What is the proportion of 3 out of 15 expressed as a percentage?
20%
15%
25%
18%
The proportion of 3 out of 15 can be calculated as (3 ÷ 15) x 100% = 20%.
6 .
In a test Sally scores 42 out of 60 . What is her score as a percentage?
70%
60%
75%
80%
The percentage score can be calculated as (42 ÷ 60) x 100% = 70%.
7 .
A bag contains 5 green, 7 red and 3 yellow balls. What is the ratio of green to total balls?
5:15
1:2
5:7
5:20
Total balls = 5 + 7 + 3 = 15. The ratio of green to total balls is 5:15. I hope you didn't work out green to only red and yellow!
8 .
John is 16 years old and Steven is 24 years old. What is their age ratio?
2:3
1:2
3:4
4:6
The age ratio is obtained by dividing both ages by their greatest common divisor which is 8, so the ratio is 2:3.
9 .
A recipe says to mix 2kg of flour with 500g sugar in the ratio 4:1. How much sugar is required for 1kg of flour?
500 g
250 g
400 g
350 g
Since the ratio between flour and sugar is 4:1, 1kg of flour should be mixed with a quarter the weight of sugar, which is 250g.
10 .
In a class of 30 students, 12 are boys. What is the proportion of boys to girls in the class?
2:5
3:2
2:3
4:3
The number of girls in the class is 30 - 12 = 18. The proportion of boys to girls can be formed by reducing the ratio 12:18 to its simplest form which is 2:3.
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