12pt text starts here



Level A

1. Look at the circle. What percentage has been shaded?

[pic]

A) 50%

B) 100%

C) 1/2%

2. There are 100 little squares in this grid. What % is the shaded bit?

[pic]

A) 75%

B) 25%

C) 1/4%

3. Three of these six eggs are cracked. What percentage of the eggs is cracked?

[pic]

A) 3/6

B) 3%

C) 50%

4. 50% written as a fraction would be...

A) 1/2

B) 1/4

C) 3/4

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%

Level B

1. Look at the circle. What percentage has been shaded?

[pic]

A) 75%

B) 25%

C) 1/4%

2. There are 100 little squares in this grid. What % is the shaded part?

[pic]

A) 1/10%

B) 90%

C) 10%

3. Here is the same shape again. What fraction is shaded?

[pic]

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

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

Level C

1. Look at the circle. What percentage has been shaded?

[pic]

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.

[pic]

A) 25%

B) 75%

C) 80%

D) 20%

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

Answers

Level A

1. Look at the circle. What percentage has been shaded?

[pic]

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?

[pic]

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?

[pic]

The correct answer is: C. 50%.

The box holds 6 eggs so the fraction of cracked ones is 3/6 = 1/2

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%

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

Level B

1. Look at the circle. What percentage has been shaded?

[pic]

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?

[pic]

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.

3. Here is the same shape again. What fraction is shaded?

[pic]

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

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.

Level C

1. Look at the circle. What percentage has been shaded?

[pic]

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%.

4. The container was full up to the '1' mark. Then some of the juice was drunk. Estimate how much has gone.

[pic]

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

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%

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.

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E3

Comparing fractions and percentages - quiz

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