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Comparing fractions and percentages - quiz
Level A
1. Look at the circle. What percentage has been shaded?
A) 50%
B) 100%
C) 1/2%
2. There are 100 little squares in this grid. What % is the shaded bit?
A) 75%
B) 25%
C) 1/4%
3. Three of these six eggs are cracked. What percentage of the eggs is cracked?
A) 3/6
B) 3%
C) 50%
4. 50% written as a fraction would be...
A) 1/2
B) 1/4
C) 3/4
© BBC 2011
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Comparing fractions and percentages - quiz
5. 0.2 is the same as...
A) 2%
B) 20%
C) 25%
6. 3/4 written as a decimal would be...
A) 0.34
B) 0.43
C) 0.75
7. In a company, 1/4 of all the employees are women. What percentage of the workforce are
women?
A) 25%
B) 50%
C) 75%
8. Which of the following is not the same as 50%?
A) 1/2
B) 0.5
C) 1.2
9. Which of the following is not the same as 1/4?
A) 25/100
B) 0.25
C) 1.4
10. 0.3 is the same as...
A) 3%
B) 13%
C) 30%
© BBC 2011
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Comparing fractions and percentages - quiz
Level B
1. Look at the circle. What percentage has been shaded?
A) 75%
B) 25%
C) 1/4%
2. There are 100 little squares in this grid. What % is the shaded part?
A) 1/10%
B) 90%
C) 10%
3. Here is the same shape again. What fraction is shaded?
A) 1/10
B) 9/10
C) 90/100
4. Using a calculator I need to find 1/5 of a quantity. How would I enter 1/5 on a calculator?
A) 0.5
B) 0.15
C) 0.2
© BBC 2011
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Comparing fractions and percentages - quiz
5. I bought some ribbon 0.75 metres long. What fraction of a metre is this?
A) 7/5
B) 5/7
C) 3/4
6. Which of the following is the smallest?
A) 20%
B) 0.1
C) 1/5
7. Which of the following is the largest?
A) 75%
B) 0.25
C) 1/5
8. 90% of people watch TV everyday. What fraction of people doesn't watch TV everyday?
A) 1/10
B) 9/10
C) 90/100
9. At a college, 3 out of every 5 of the students are women. What percentage is this?
A) 35%
B) 30%
C) 60%
10. 100% is the same as...
A) 100
B) 0.100
C) 1
© BBC 2011
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Comparing fractions and percentages - quiz
Level C
1. Look at the circle. What percentage has been shaded?
A) 66.7%
B) 100%
C) 33.3%
2. My hair shampoo claims 33.3% is free. What fraction of my shampoo is free?
A) 1/3
B) 1/33
C) 3/33
3. Neeru scored 30 out of 40 in a test. What was his mark as a percentage?
A) 75%
B) 30%
C) 40%
4. The container was full up to the '1' mark. Then some of the juice was drunk. Estimate how
much has gone.
A)
B)
C)
D)
25%
75%
80%
20%
© BBC 2011
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Comparing fractions and percentages - quiz
5. Write 7/10 as a percentage
A) 70%
B) 7%
C) 700%
6. What is 1% as a fraction?
A) 1/10
B) 0.01
C) 1/100
7. On my computer I can view my work at 150% of the actual size. How many times bigger than
normal size is this?
A) 1 1/50 times
B) 1 1/2 times
C) 1 1/20 times
8. My local DIY store has an offer where 10% is taken off all marked prices on one particular
day. What fraction would I pay for my goods on that day?
A) 1/10
B) 1/90
C) 9/10
9. 1.5 is the same as
A) 15%
B) 1.5%
C) 150%
10. Compare the prices below. Which football is the cheapest 1, 2 or 3?
Football 1. Original price £12, now with a 25% discount
Football 2. Half-price, cut down from £14
Football 3. Was £10 but now 20% cheaper!
A) Football 1. is the cheapest
B) Football 2. is the cheapest
C) Football 3. is the cheapest
© BBC 2011
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Comparing fractions and percentages - quiz
Answers
Level A
1. Look at the circle. What percentage has been shaded?
The correct answer is: A. 50%
It's a good idea to learn that 1/2 = 50%
2. There are 100 little squares in this grid. What % is the shaded bit?
The correct answer is: B. 25%
Count the shaded squares - there are 25. As there are 100 squares in total this is 25/100. You
can write this as 25%
3. Three of these six eggs are cracked. What percentage of the eggs is cracked?
The correct answer is: C. 50%.
The box holds 6 eggs so the fraction of cracked ones is 3/6 = 1/2
© BBC 2011
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Comparing fractions and percentages - quiz
1/2 is the same as 50%, so the correct answer is 50%
4. 50% written as a fraction would be...
The correct answer is: A. 1/2.
To change 50% to a fraction put it over 100 - 50/100. This can be simplified to 1/2 .
5. 0.2 is the same as...
The correct answer is: B. 20%.
Multiply 0.2 by 100 to get 20%.
6. 3/4 written as a decimal would be...
The correct answer is: C. 0.75
3 ÷ 4 = 0.75
7. In a company, 1/4 of all the employees are women. What percentage of the workforce are
women?
The correct answer is: A. 25%
To change 1/4 to a percentage divide 1 by 4 and multiply by 100. (1 ÷ 4) x 100 = 25%.
8. Which of the following is not the same as 50%?
The correct answer is: C. 1.2
1.2 is the same as 120%, not 50%
© BBC 2011
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Comparing fractions and percentages - quiz
9. Which of the following is not the same as 1/4?
The correct answer is: C. 1.4
1.4 is not the same as 1/4.
However, 0.25 is: 0.25 = 25/100 = 1/4 and 25/100 can be simplified to 1/4.
10. 0.3 is the same as...
The correct answer is: C. 30%
0.3 is the same as 30%
To change 0.3 to a percentage multiply by 100:
0.3 x 100 = 30
© BBC 2011
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Comparing fractions and percentages - quiz
Level B
1. Look at the circle. What percentage has been shaded?
The correct answer is: B. 25%
The shaded part is 1/4 of the circle. Written as a percentage this is 25%.
It's a good idea to remember that 1/4 = 25%
2. There are 100 little squares in this grid. What % is the shaded part?
The correct answer is: C. 10%
There are 10 shaded squares out of 100 squares.
You can write 10 out of a hundred as 10 per cent.
© BBC 2011
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Comparing fractions and percentages - quiz
3. Here is the same shape again. What fraction is shaded?
The correct answer is: A. 1/10.
10 out of 100 are shaded so the fraction is 10/100. This simplifies to 1/10 by dividing top and
bottom by 10.
4. Using a calculator I need to find 1/5 of a quantity. How would I enter 1/5 on a calculator?
The correct answer is: C. 0.2
When you enter a fraction in a calculator it is easier to show it as a decimal. To change 1/5 to
a decimal divide 1 by 5.
1 ÷ 5 = 0.2
5. I bought some ribbon 0.75 metres long. What fraction of a metre is this?
The correct answer is: C. 3/4
0.75 = 75/100 which can be simplified to 3/4.
6. Which of the following is the smallest?
The correct answer is: B. 0.1
0.1 is the smallest. 20% and 1/5 are the same as 0.2
© BBC 2011
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Comparing fractions and percentages - quiz
7. Which of the following is the largest?
The correct answer is: A. 75% is the largest. 0.25 is the same as 25% and 1/5 is the same as
20%.
8. 90% of people watch TV everyday. What fraction of people doesn't watch TV everyday?
The correct answer is: A. 1/10.
The question says 90 out of 100 watch TV everyday. That leaves
100 - 90 = 10
So 10 out of 100 don't watch TV everyday. As a fraction this is 10/100. This can be simplified
by dividing top and bottom by 10 to give 1/10
9. At a college, 3 out of every 5 of the students are women. What percentage is this?
The correct answer is: C. 60%.
3 out of 5 is the same as 3/5. To change 3/5 to a percentage divide 3 by 5 and multiply by
100. (3 ÷ 5) x 100 = 60%.
10. 100% is the same as...
The correct answer is: C. 1
100% is the same as 1. When you have 100% of something, you have all of it or 1 whole.
© BBC 2011
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Comparing fractions and percentages - quiz
Level C
1. Look at the circle. What percentage has been shaded?
The correct answer is: C. 33.3%.
The shaded part is 1/3 -written as a percentage the correct answer is 33.3% (to 1 decimal
place)
It's useful to remember that
1/3 = 33.3%
2. My hair shampoo claims 33.3% is free. What fraction of my shampoo is free?
The correct answer is: A. 1/3.
33.3 is the same as 33.33/100. This can be simplified to 1/3.
3. Neeru scored 30 out of 40 in a test. What was his mark as a percentage?
The correct answer is: A. 75%.
To change 30/40 to a percentage divide 30 by 40 and multiply by 100. (30 ÷ 40) x 100 = 75%.
© BBC 2011
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Comparing fractions and percentages - quiz
4. The container was full up to the '1' mark. Then some of the juice was drunk. Estimate how
much has gone.
The correct answer is: D. 20%.
The juice is just above the 3/4 mark. So less than 1/4 has been drunk. Which is the same
thing as saying just less than 25% has been drunk.
5. Write 7/10 as a percentage
The correct answer is: A. 70%.
To turn a fraction into a percentage you multiply by 100
7/100 x 100 = 700/10 = 70
Now add the percentage sign to get the answer 70%
6. What is 1% as a fraction?
The correct answer is: C. 1/100.
To turn 1% into a fraction remember that per cent (%) means out of a hundred.
So 1% means 1 out of 100 = 1/100
This fraction cannot be simplified
© BBC 2011
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Comparing fractions and percentages - quiz
7. On my computer I can view my work at 150% of the actual size. How many times bigger than
normal size is this?
The correct answer is: B. 1 1/2 times.
To change 150% to a fraction put it over 100.
150% = 150/100 = 100/100 + 50/100 which can be simplified to 1 1/2 times.
8. My local DIY store has an offer where 10% is taken off all marked prices on one particular
day. What fraction would I pay for my goods on that day?
The correct answer is: C. 9/10.
10% is the same as 10/100 which can be simplified to 1/10.
The fraction you would pay for goods is 1 whole - 1/10 = 10/10 - 1/10 = 9/10.
9. 1.5 is the same as
The correct answer is: C. 150%.
To change a decimal to a percentage multiply by 100:
1.5 x 100 = 150 so 1.5 is the same as 150%
© BBC 2011
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Comparing fractions and percentages - quiz
10. Compare the prices below. Which football is the cheapest 1, 2 or 3?
The correct answer is: B. Football 2. is the cheapest.
You can work out the three prices like this:
Football 1. 25% discount is the same as 1/4 of the price taken off
1/4 of £12 = £12 x 1/4 which is £12 ÷ 4 = £3
So the new price is £12 - £3 = £9
Football 2. £14 at half-price is £14 ÷ 2 = £7
So the new price is £7
Football 3. 20% discount is the same as 1/5 of the price taken off.
1/5 of £10 = £10 x 1/5 which is £10 ÷ 5 = £2
So the new price is £10 - £2 = £8
So the discounted prices are 1. = £9, 2. = £7 and 3. = £8
Comparing prices you can see that Football 2. is the cheapest at £7.
© BBC 2011