# 4. The bottom number of a fraction divides a number (or shape) into parts which are:

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1 Level A 1. What is a fraction? A) A way to count whole numbers. B) A way to show part of a whole number or shape. C) A way to show how big a shape is. D) A way to show how one number is bigger than another. 2. What does the bottom number of a fraction show? A) How many equal parts a shape or number is divided into. B) How many parts can be removed from a shape. C) How many numbers there are. D) How many shapes there are. 3. What does the top number of a fraction show? A) How many parts we are interested in. B) How many whole numbers there are. C) How many equal parts the number (or shape) is divided into. D) How many parts have been removed. 4. The bottom number of a fraction divides a number (or shape) into parts which are: A) Different sizes B) The same size C) Bigger than 1 D) Smaller than 1 5. Into how many parts has the whole been divided to give the fraction 1/2? A) 1 B) 2 C) 3 D) 4

2 6. How many parts are of interest in the fraction 3/4? A) 7 B) 4 C) 3 D) 1 7. To find a half you divide (share) by: A) 4 B) 3 C) 2 D) 1 8. To find a quarter you divide (share) by: A) 4 B) 3 C) 2 D) 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) 1/2 B) 1/4 C) 1/3 D) 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) 1/4 = 2/8 B) 3/4 = 6/8 C) 1/2 = 2/4 D) 1/3 = 2/6

3 Level B 1. The fraction 3/5 written in words is: A) Three fives B) Five thirds C) Three fifths D) Five threes 2. Which of these is a unit fraction? A) 1/7 B) 3/4 C) 2/3 D) 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) 1/4 B) 3/3 C) 1/3 D) 1/2

4 4. Here is a cake which has been cut into 6 equal pieces. If one piece is eaten, what fraction will be left? A) 5/6 B) 1/6 C) 1/2 D) 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) 5 B) 10 C) 15 D) 20

5 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) 10 minutes B) 15 minutes C) 30 minutes D) 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) 1/6 B) 1/3 C) 5/6 D) 1/2

6 8. Fractions which equal one whole have: A) The same number at the top and bottom B) The biggest number at the top C) The biggest number at the bottom D) 1 for the top number 9. This table measures 50 cm across. What fraction of 1 metre is 50 cm? A) 1/4 B) 3/4 C) 1/2 D) 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) 3/4 and 6/8 B) 2/8 and 1/4 C) 1/2 and 4/8 D) 1/3 and 2/6

7 Level C 1. If the whole cake is eaten, which fraction describes this? A) 1/6 B) 5/6 C) 3/6 D) 6/6 2. Five pieces of pizza are going to be eaten. What fraction will be left? A) 6/6 B) 5/6 C) 1/6 D) 3/6

8 3. A jumper usually costs 45. In a sale, it is reduced in price by a third. The new sale price will be: A) 30 B) 15 C) 40 D) 35

9 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) 10 B) 8 C) 9 D) 4

10 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) 400ml B) 800ml C) 600ml D) 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) 80 grams B) 100 grams C) 400 grams D) 50 grams

11 7. The edge of this piece of wood measures 5 mm. What fraction of 1 cm is 5 mm? A) 3/4 B) 1/4 C) 1/2 D) 1/10 E) 8. Sarah needs 1/4 of 1 kg of flour. How many grams does she need? A) 500 grams B) 250 grams C) 750 grams D) 100 grams

12 9. Three pieces of this pizza are going to be eaten. Which equivalent fraction describes this amount? A) 1/12 B) 1/4 C) 1/2 D) 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) 4/5 = 8/10 B) 3/5 = 6/10 C) 2/5 = 4/10 D) 1/5 = 2/10

13 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.

14 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.

15 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 = 5 Kate pays 5 towards the CDs.

16 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.

17 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.

18 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 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.

19 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: = 30

20 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.

21 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: = 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: = 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: = 250

22 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/ 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.

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