E3
Fractions quiz
Level A
1. What is a fraction?
A)
B)
C)
D)
A way to count whole numbers.
A way to show part of a whole number or shape.
A way to show how big a shape is.
A way to show how one number is bigger than another.
2. What does the bottom number of a fraction show?
A)
B)
C)
D)
How many equal parts a shape or number is divided into.
How many parts can be removed from a shape.
How many numbers there are.
How many shapes there are.
3. What does the top number of a fraction show?
A)
B)
C)
D)
How many parts we are interested in.
How many whole numbers there are.
How many equal parts the number (or shape) is divided into.
How many parts have been removed.
4. The bottom number of a fraction divides a number (or shape) into parts which are:
A)
B)
C)
D)
Different sizes
The same size
Bigger than 1
Smaller than 1
5. Into how many parts has the whole been divided to give the fraction 1/2?
A)
B)
C)
D)
1
2
3
4
© BBC 2011
E3
Fractions quiz
6. How many parts are of interest in the fraction 3/4?
A)
B)
C)
D)
7
4
3
1
7. To find a half you divide (share) by:
A)
B)
C)
D)
4
3
2
1
8. To find a quarter you divide (share) by:
A)
B)
C)
D)
4
3
2
1
9. This pizza has been cut into 4 equal pieces. If three pieces are eaten, what fraction of the
whole pizza would this be?
A)
B)
C)
D)
1/2
1/4
1/3
3/4
10. This pizza has been cut into four equal pieces. Two pieces are going to be eaten.
Which two equivalent fractions show this amount?
A)
B)
C)
D)
1/4 = 2/8
3/4 = 6/8
1/2 = 2/4
1/3 = 2/6
© BBC 2011
E3
Fractions quiz
Level B
1. The fraction 3/5 written in words is:
A)
B)
C)
D)
Three fives
Five thirds
Three fifths
Five threes
2. Which of these is a unit fraction?
A)
B)
C)
D)
1/7
3/4
2/3
8/9
3. Here is a pizza which has been cut into two equal pieces. If one piece is eaten, what fraction
will be left?
A)
B)
C)
D)
1/4
3/3
1/3
1/2
© BBC 2011
E3
Fractions quiz
4. Here is a cake which has been cut into 6 equal pieces. If one piece is eaten, what fraction will
be left?
A)
B)
C)
D)
5/6
1/6
1/2
1/3
5. Dave, Kate and Sam buy 2 CDs between them. Dave pays for the cost and Kate and Sam
share a CD and pay 1/2 each.
How much money does Kate pay towards the CDs?
A)
B)
C)
D)
£5
£10
£15
£20
© BBC 2011
E3
Fractions quiz
6. There are 60 minutes in an hour. The shaded part of the clock shows half an hour.
How many minutes are in half an hour?
A)
B)
C)
D)
10 minutes
15 minutes
30 minutes
45 minutes
7. Here is a dozen eggs. Two eggs are going to be used in an omelette.
What fraction of the twelve eggs will be left?
A)
B)
C)
D)
1/6
1/3
5/6
1/2
© BBC 2011
E3
Fractions quiz
8. Fractions which equal one whole have:
A)
B)
C)
D)
The same number at the top and bottom
The biggest number at the top
The biggest number at the bottom
1 for the top number
9. This table measures 50 cm across.
What fraction of 1 metre is 50 cm?
A)
B)
C)
D)
1/4
3/4
1/2
1/3
10. This pizza has been cut into 8 equal pieces.
Two pieces are to be eaten.
Which two fractions describe the amount of pizza that has been eaten?
A)
B)
C)
D)
3/4 and 6/8
2/8 and 1/4
1/2 and 4/8
1/3 and 2/6
© BBC 2011
E3
Fractions quiz
Level C
1. If the whole cake is eaten, which fraction describes this?
A)
B)
C)
D)
1/6
5/6
3/6
6/6
2. Five pieces of pizza are going to be eaten. What fraction will be left?
A)
B)
C)
D)
6/6
5/6
1/6
3/6
© BBC 2011
E3
Fractions quiz
3. A jumper usually costs £45. In a sale, it is reduced in price by a third.
The new sale price will be:
A)
B)
C)
D)
£30
£15
£40
£35
© BBC 2011
E3
Fractions quiz
4. Here is a plan of Robert's garden. He wants to put a row of paving slabs at one end as
shown. He needs to put them in the gap which is 4 metres long.
The paving slabs are 50 cm long.
How many paving slabs will Robert need?
A)
B)
C)
D)
10
8
9
4
© BBC 2011
E3
Fractions quiz
5. Here is a jug containing 1 litre of lemonade. The lemonade is to be shared equally between
five people.
How much lemonade, in ml (ml means millilitres), will each person have?
A)
B)
C)
D)
400ml
800ml
600ml
200ml
6. Stuart is going on a camping holiday for ten days. He wants the same amount of porridge for
breakfast each morning. He buys a new box of porridge oats, containing 800 grams, for his
holiday. How much porridge will he be able to have each day?
A)
B)
C)
D)
80 grams
100 grams
400 grams
50 grams
© BBC 2011
E3
Fractions quiz
7. The edge of this piece of wood measures 5 mm.
What fraction of 1 cm is 5 mm?
A)
B)
C)
D)
E)
3/4
1/4
1/2
1/10
8. Sarah needs 1/4 of 1 kg of flour.
How many grams does she need?
A)
B)
C)
D)
500 grams
250 grams
750 grams
100 grams
© BBC 2011
E3
Fractions quiz
9. Three pieces of this pizza are going to be eaten.
Which equivalent fraction describes this amount?
A)
B)
C)
D)
1/12
1/4
1/2
3/4
10. Two pieces of this chocolate bar have already been eaten. Which equivalent fractions
describe the amount of chocolate that has been eaten?
A)
B)
C)
D)
4/5 = 8/10
3/5 = 6/10
2/5 = 4/10
1/5 = 2/10
© BBC 2011
E3
Fractions quiz
Answers
Level A
1. What is a fraction?
The correct answer is: B. A way to show part of a whole number or shape.
2. What does the bottom number of a fraction show?
The correct answer is: A. How many equal parts a shape or number is divided into.
3. What does the top number of a fraction show?
The correct answer is: A. The top number of a fraction shows how many parts we are
interested in.
4. The bottom number of a fraction divides a number (or shape) into parts which are:
The correct answer is: B. The same size
5. Into how many parts has the whole been divided to give the fraction 1/2?
The correct answer is: B. 2. The bottom number shows how many equal parts the fraction is
divided into. This fraction is divided into 2 equal parts.
6. How many parts are of interest in the fraction 3/4?
The correct answer is: C. 3. In the fraction “3/4” the top number shows how many pieces we
are interested in: the bottom number shows how many equal parts the fraction “3/4” is divided
into.
In the fraction we are interested in 3 parts out of a total of four.
© BBC 2011
E3
Fractions quiz
7. To find a half you divide (share) by:
The correct answer is: C. 2. The bottom number of a fraction is the dividing number (1/2).
8.
To find a quarter you divide (share) by:
The correct answer is: A. 4. The bottom number of a fraction is the dividing number (1/4).
9. This pizza has been cut into 4 equal pieces. If three pieces are eaten, what fraction of the
whole pizza would this be?
The correct answer is: D. 3/4
The pizza has been cut into 4 equal pieces - so the bottom number is 4. We are interested in
3 pieces - so 3 is the top number.
10. The correct answer is: C. 1/2 = 2/4
The pizza is divided into 4 equal pieces and 2 are to be eaten, so 2/4 is one of the fractions.
You can divide both the top number 2 and bottom number 4 by 2 to get the equivalent fraction
1/2.
Two pieces of pizza are equivalent to 2/4 = 1/2 .
© BBC 2011
E3
Fractions quiz
Level B
1. The fraction 3/5 written in words is:
The correct answer is: C. three fifths
2. Which of these is a unit fraction?
The correct answer is: A. 1/7. A unit fraction has 1 for its top number. A unit fraction is one part
of a whole divided into equal parts.
3. A pizza which has been cut into two equal pieces. If one piece is eaten, what fraction will be
left?
The correct answer is: D. ½. The pizza is divided into 2 equal pieces, so each piece is 1/2. If
one piece is eaten, the other half (1/2) will be left.
4. A cake has been cut into 6 equal pieces. If one piece is eaten, what fraction will be left?
The correct answer is: A. 5/6
The cake is divided into 6 equal pieces, so each piece is 1/6. There are six sixths in the whole
cake, so if one sixth is eaten, five sixths, 5/6, will be left.
5. Dave, Kate and Sam buy 2 CDs between them. Dave pays for the cost and Kate and Sam
share a CD and pay 1/2 each. How much money does Kate pay towards the CDs?
The correct answer is: A. £5
Kate paid a 1/4 of the cost. To work out a quarter of an amount, divide by 4.
£20 ÷ 4 = £5
Kate pays £5 towards the CDs.
© BBC 2011
E3
Fractions quiz
6. There are 60 minutes in an hour. The shaded part of the clock shows half an hour. How many
minutes are in half an hour?
The correct answer is: C. 30 minutes
To find half an hour you divide 60 minutes by 2:
60 ÷ 2 = 30
There are 30 minutes in half an hour.
7. Here is a dozen eggs. Two eggs are going to be used in an omelette. What fraction of the
twelve eggs will be left?
The correct answer is: C. 5/6
2/12 eggs are used, leaving 10/12 eggs. You can simplify this fraction by dividing the top and
bottom number by 2.
10/12 = 5/6
5/6 of the twelve eggs will be left.
8. Fractions which equal one whole have:
The correct answer is: A. The same number at the top and bottom. A fraction equals one
whole when the top and bottom numbers are the same.
9. A table measures 50 cm across. What fraction of 1 metre is 50 cm?
The correct answer is: C. 1/2
1 metre is the same as 100 cm.
50 cm is 1/2 of 100 cm.
© BBC 2011
E3
Fractions quiz
10. This pizza has been cut into 8 equal pieces. Two pieces are to be eaten.
Which two fractions describe the amount of pizza that has been eaten?
The correct answer is: B. 2/8 and 1/4
2/8 is equivalent to 1/4 as both the top and bottom number can be divided by 2 to find the
equivalent fraction.
1/4 OR 2/8 is the amount of pizza that has been eaten.
© BBC 2011
E3
Fractions quiz
Level C
1. If the whole cake is eaten, which fraction describes this?
The correct answer is: D. 6/6
The cake is divided into 6 equal pieces. If each piece is eaten, six are eaten which is 6/6 or 1.
2. Five pieces of pizza are going to be eaten. What fraction will be left?
The correct answer is: C. 1/6
There are 6/6 (six sixths) in the whole pizza. If 5/6 (five sixths) are eaten, it will leave 1/6.
© BBC 2011
E3
Fractions quiz
3. A jumper usually costs £45. In a sale, it is reduced in price by a third. The new sale price will
be:
The correct answer is: A. £30
First, find 1/3 of £45 by dividing by 3:
£45 ÷ 3 = £15
Subtract this reduction from the original price:
£45 - £15 = £30
© BBC 2011
E3
Fractions quiz
4. Here is a plan of Robert's garden. He wants to put a row of paving slabs at one end as
shown. He needs to put them in the gap which is 4 metres long. The paving slabs are 50 cm
long. How many paving slabs will Robert need?
The correct answer is: B. 8
Each slab is 50 cm long which is 1/2 m.
There are two half metres to every metre, so there will be 8 half metres in the 4 m gap. Robert
needs 8 paving slabs.
© BBC 2011
E3
Fractions quiz
5.
A jug contains 1 litre of lemonade. The lemonade is to be shared equally between five
people. How much lemonade, in ml (ml means millilitres), will each person have?
The correct answer is: D. 200 ml
The jug contains 1000 ml (1 litre) of lemonade. To share this equally between 5 people means
each will have 1/5. To find 1/5 you must divide 1000 ml by 5:
1000 ÷ 5 = 200
6. Stuart is going on a camping holiday for ten days. He wants the same amount of porridge for
breakfast each morning. He buys a new box of porridge oats, containing 800 grams, for his
holiday. How much porridge will he be able to have each day?
The correct answer is: A. 80 grams
Stuart will need to find what 1/10 of 800 grams is for the daily amount. To find 1/10 you divide
by 10:
800 ÷ 10 = 80
7. The edge of this piece of wood measures 5 mm. What fraction of 1 cm is 5 mm?
The correct answer is: C. 1/2
1 cm = 10 mm
There are 2 lots of 5 mm in 10 mm, so 5 mm is 1/2 of 10 mm.
8. Sarah needs 1/4 of 1 kg of flour. How many grams does she need?
The correct answer is: B. 250 grams
You divide by 4 to find 1/4:
1000 ÷ 4 = 250
© BBC 2011
E3
Fractions quiz
9. Three pieces of this pizza are going to be eaten. Which fraction describes this amount?
The correct answer is: B. 1/4 of the pizza is going to be eaten.
If 3 pieces are eaten the fraction is 3/12
This can be simplified by dividing the top and bottom number by 3 to get the fraction1/4.
10. Two pieces of this chocolate bar have already been eaten. Which equivalent fractions
describe the amount of chocolate that has been eaten?
The correct answer is: D. 1/5 = 2/10
The chocolate bar had ten pieces, so was divided into tenths. 2/10 had been eaten. Both the
top and bottom can be divided by 2 to give the fraction 1/5.
The equivalent fractions are 2/10 and 1/5.
© BBC 2011