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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 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.
2.
A group of friends shares a pizza. Fred eats 14 of the pizza, Sam eats 15 and the rest is eaten by Lucy. What fraction of the pizza does Lucy eat?
920
14
710
1120
Fred and Sam eat 14 + 15 = (520 + 420) = 920 of the pizza. So, Lucy eats 1120 (1 - 920) of the pizza.
3.
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!
4.
What is 45% of £250?
£112
£112.50
£125
£140
Find 45% of £250 by multiplying, 250 x 45 ÷ 100 = £112.50
5.
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.
6.
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%.
7.
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.
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.
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%.
10.
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.
Author:  Graeme Haw

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