PROBLEMS TO SOLVE

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					PROBLEMS TO SOLVE YEAR 5 A problem set in the context of measurement, perhaps involving mixed units
Answers 1 Jane is 96cm tall. John is 1.3m tall. How much taller is John than Jane? Each cage is 3m 25cm long. There are 10 of them along a path. If the cages were put together, how long would the path measure? Sheila leaves the house at 7:55 and it takes her 15 mins to walk to school. a) What time does she arrive? Grandma bought a 3kg bag of potatoes. She used 600g of potatoes to make chips. How many grams of potatoes were left? Kevin and Sanna are very good at athletics. Kevin runs 8.6 km and Sanna runs 6,763 m. How many metres is their combined distance? From a piece of wood 2 metres long, 3 shelves can be cut, leaving 20cms waste. If each shelf is the same length, how long is it? There is 425ml of orange juice in a bottle. Another 1.5 litres of orange juice is bought from a shop. How much orange juice is there now? Chairs are set out across a room 7m wide. Each chair measures 60cm. How many chairs in each row? Our rabbit eats 200 grams of food each day. a) How many kg bags of food do I need to buy for 1 week? b) How much would be left?

0.34cm

2

32.5m

3

8:10

4

2,400g

5

15,363 metres

6

60 cm

7

1.925 litres or 1,925ml

8

11 chairs

9

a) two 1kg bags b) 600g

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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Dad bought a 20kg sack of potatoes. He needed 500g to make mashed potato for 1 child. How much would be needed for 8 boy scouts? What weight of potatoes would be left? Mr Brookes lays a new garden path. He uses 12 concrete slabs layed down in a straight line. Each slab is 35cm long. How long will the path be in metres? The net weight of a litre of milk is 1,500g. How much milk weighs 300g? Give your answer as a fraction of a litre. The winner of the Olympic 100 metres ran in a time of 9.37 seconds breaking the world record by seven hundredths of a second. What was the old world record? A bucket holds 5 litres. Claire pours 1.5 litres of water into the bucket. Ian adds 500ml of water. How much more water is needed to fill the bucket? One bottle contains 1.5 litres of coke. How many bottles would be needed if there is 7,760ml of coke? Sarah bought 3kg of flour and 1kg of sugar. She uses ¾ of each to bake cakes for the school fair. How many grams of each does she have left? 36 children in class 5 were making shortbread biscuits but couldn’t find a recipe they liked. They asked the school cook who gave them the ratio of 1:2:3. 1-sugar, 2margarine, 3-flour. If 25g of sugar in the recipe makes enough biscuits for 4 children, how much of each ingredient would be needed to make biscuits for the whole class? A builder puts a series of wooden planks together, end to end, to make a ramp. Two planks were 75cm long , one plank was 1.5m long and the last plant was 2m long. What was the total length of the ramp? Ann was 1.4 metres tall. Peter was 20cm taller. How tall was Peter?

a) 4kg b) 16kg

11

4.2 m

12

1

/5 or 0.2

13

9.44 seconds

14

3 litres or 3,000ml

15

6 bottles

16

0.75kg flour 0.25kg sugar

17

sugar - 225g marge - 450g flour - 675g

18

5m

19

1.6m or 160cm

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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We left school at 8.30 am and returned at 10.15 pm. How many hours and minutes did our trip last? David bought a 5kg bag of potatoes. He used 900g to make chips. How many g of potatoes were left? A recipe for a cake needs 250g flour. How many kg bags of flour would be needed to make 8 cakes? A square tile has a side measuring 14cm. What is the area of the tile in m2? At a party Sue drank 250ml of coke and Chris drank ½ litre. How much more did Chris drink? On sports day Joe jumped 50cm, Helen jumped 37cm and Paul jumped 1.10m. What is the total distance jumped by all three pupils? At the greengrocers Amy bought 1kg of potatoes, ½kg of carrots and 0.556gms of parnips. What was the total weight of the goods she bought? A Pokémon card measures 9cm. How many would I need to place end to end to fit on my table measuring 1.8m? Jamie buys 3kg of Haribo sweets. He eats 1700g of the sweets and gives 200g of the sweets to Peter. What is the weight of the sweets left over? Dad needs to cut some 23cm lengths of wood from a longer piece measuring 1.4m long. How many lengths can he cut? Sarah and John travel 3.4km by bus to school and then have to take another 800m. What is their total journey? Jess’s baby brother had a new paddling pool. The capacity of the pool was 60 litres. Jess offered to fill the pool using her own bucket. Her bucket held 500ml of water. How many buckets would it take to fill the pool? I need 375 grams of potatoes for my soup. How many grams of potatoes would be left from a 2kg bag?

1hr 45mins

21

4,100g

22

2 bags 1.96m2

23

24

250ml

25

1.97m

26

2.056kg or 2kg 56g

27

20 cards

28

1,100g or 1.1kg

29

6 lengths

30

4.2km or 4,200m

31

120 buckets

32

1,625g

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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The kitchen cooks 5kg of potatoes. Each person can have 250g of potatoes. How many people can have potatoes?

20 people

34

Carl travels to school by car. His journey is 3.5km. His friend John makes a journey of 75m to school on foot. a) a) John Who lives the closest to school? b) What is the difference b) 3.425kg in length between Carl and John’s journey. c) How far c) 750m does John walk to and from school in one week (Monday to Friday)? A family went to visit relatives who lived 75km from their home. How far did they travel altogether if they travelled the same route there and back? Joe wants to record 3 of his favourite TV programmes: Grange Hill 5.00 - 5.30 James Bond Farm 6.00 - 8.30 Newsround 4.30 - 4.45. Will he fit them all onto a 3 hour video tape? One pop bottle contains 1.5 litres of cola, another 75ml. What volume of cola would both together contain? On a visit to the supermarket Mrs Mason buys a tin of beans weighing 420g, some potatoes weighing 1½kg and toothpaste weighing 130g. What is the total weight of the items she buys? Tim’s sunflower has grown to 1.2m. Ann’s has grown to 87cm. How much taller is Tim’s sunflower than Ann’s? A long jumper leaps 1.54m. How many cm did he jump? The cook in school ordered 20kg of potatoes for chips, baked potatoes and boiled potatoes. She uses 14,500g. How many kg did she have left? Ryan used 8 oranges to make ½ litre of orange juice. How much juice can he make from 28 oranges? Sarah is the tallest member of the class. She measures 1.75m. Tom is the shortest. He measures 132cm. What is the difference in height between the tallest and shortest person?

35

150km

36

No

37

1.575 litres

38

2.05kg or 2050g

39

33cm 154cm

40 41

5.5kg

42

1.75 litres

43

43cm

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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Janet is 0.95m shorter than Barry who is 162cm tall. How tall is Janet? A month ago, John’s sunflower was 65cm high. Now it is 1.75m high. How much more has it grown? If it grows by the same amount again, how tall will it be in a month’s time? To make two milkshakes Matthew needs 300ml of milk. He has 750ml. How many could Matthew make if he used all of his milk? Caroline measured her sunflower. The first week it measured 93cm. The second week it measured 1.03m and the third week it measured 1.27m. What was the difference in height between the 1st week and 3rd week? Three children recorded how far a toy car rolled down a ramp. Ben’s car rolled 90cm, Jane’s car rolled 120cm and John’s car rolled 1 metre 30cm. What is the total distance travelled by all three cars? Give your answer in centimetres? On sports day Emma jumps 1.3m in the long jump competition and Joanne jumps 1.1m. How much further does Emma jump than Jo? A bottle of orange holds 1 litre. 12 netball players need a drink after practice. A cup holds 250ml. How many bottles will be needed if everyone has 1 drink? A team of 4 girls took part in a long jump competition. The three best results were totalled. What was their result in cm? Lisa jumped 1.87m, Susan jumped 2.05m, Kate jumped 1.61m and Rachel jumped 1.75m. On sports day David jumps 1.60m in the long jump event. Lisa’s jump measures 1.75m. Who has won and by how many cms? John is excellent at long jump. His first jump is 2.1m, his second is 218cm and his third is 2.35m. What is the difference between his best and worst jump?

0.67m

45

1.1m 2.85m

46

5 milkshakes

47

34cm

48

340cm

49

20cm

50

3 bottles

51

567cm

52

Lisa 15cm

53

25cm

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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If a pencil measures 12cm how far will 12 pencils placed end to end measure? Give your answer in metres. Rajay has a 2 litre bottle of cola. He drinks 250ml. How many ml are left? Jack pours 4¼ litres of squash into bottles. Each bottle holds 500ml of liquid. How many bottles will he need? Katie’s bedroom has an area of 25m2. The room next door is 500cm by 200cm. Katie’s dad decides to extend Katie’s room by knocking through the wall. What will the total area of Katie’s room be? In a running race between 3 children Mark finishes in 42 seconds, Jayne finishes in 1 minute and 10 seconds and Rob finishes in 1 minute 18 seconds. How long after the first child did the last finish? Sarah’s bedroom was 5.5m in length. Her parents hired a builder to make her bedroom bigger. The room had increased in size by 150cm. How long was her bedroom in metres? Jane has a 2 litres bottle of lemonade, Sally has a 250ml bottle of lemonade. How many more ml does Jane have than Sally? Cheryl is 1.67m tall, her brother Tom is 78cm tall. How much taller is Cheryl than Tom? Jordan needs to buy ribbon for some sewing. She needs 8 pieces that are 27cm each in length. How many full metres of ribbon will she need to buy? How many 350g bags of flour can I make from 3kg of flour? After a hard workout at the gym Paul buys a 1 litre bottle of water. If he drinks 625ml, how much water does he have left?

1.44m

55

1750ml

56

9 bottles 35m2

57

58

36 seconds

59

7m

60

1,750ml

61

89cm

62

3 metres

63

8 bags

64

375ml

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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Johnathan grew a sunflower 2.1 metres high. Lisa grew a sunflower 172cm high. What was the difference in height between the two sunflowers? A bottle of pop holds 2 litres. How many cups of pop measuring 250ml does the bottle hold? Posh Spice is married to a famous footballer. Posh is 1m 64cm tall. The heels on her new shoes are 3.5cm high. How tall will Posh Spice be with her shoes on? Sarah is 164cm tall. Jodie is 1.47 metres tall. By how much is Sarah taller than Jodie? Shane had 4 litres of milk. His brothers came and drank 1.6 litres. How much milk did he have left? A full bucket holds 2½ litres of water. I use 500ml of water to water a plant. How much water would be left? There are 3 litres of water in the washing-up bowl. Another 1500ml of water is added. How many litres are in the bowl now? Some children measured the sunflowers they had grown in the class. Sunil’s flower was 1.3m tall but Claire’s was only 85cm. What is the difference in height between Suril’s flower and Claire’s? In a recipe I needed 50g of butter and 0.125kg of digestive biscuits. How much more biscuit than butter was in the recipe? Tom’s car does 5.5 miles to the litre. He filled up his car with 10 litres of petrol. How many miles could he travel? The petrol was 80p per 0.5 litres. How much did he spend on the 10 litres of petrol? Marti went shopping. He bought 250g of apples, 125g of cherries and 1kg of potatoes. How much weight did he have to carry home in his shopping bag? Adam makes a cake using 250g of flour. How much will he need to use to make 5 cakes?

38cm

66

8 cups

67

1.675m or 167.5cm

68

17cm

69

2.4 litres

70

2 litres

71

4.5 litres

72

45cm

73

75g

74

55 miles £16

75

1.375kg

76

1.250kg

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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Ruth’s bean had grown 25cm. The bean pole it was climbing was 1.5m. How many metres will the bean have to grow before it reaches the top of the pole? John’s flight to Paris was delayed by 3½ hours. Before he flew back to Britain there was another delay of 40 mins. How long had John been delayed for in total? A full bucket holds 5.5 litres. A full jug holds 500ml. How many jugs full of water will fill the bucket? Rachel is 1m 42cm tall. Her friend, Joanne, is 128cm tall. How much taller than Joanne is Rachel? Write your answer in cm. Wally missed his 10.10 pm flight. He had to wait 3 hours and 55 minutes for the next plane. What time did he leave? After sports day the 20 children in the class were given an orange drink each. The glasses held 250ml of liquid. How many litres of orange drink did the teacher need to buy? The swimmer swam 50 metres in 1 minute. The pool was empty so she swam another 50 metres. How many centimetres had she swum altogether? A ¼ litre glass is filled from a 2 litre bottle of coke. How many ml are left in the bottle? The distance between London and New York is 5,000km. The journey takes 6 hours. How far does the aircraft travel in 1 hour? One lesson lasts for 1 hour 15 minutes. Another lesson lasts for 50 minutes. How long do the two lessons last altogether? A taxi takes 30 minutes to drive 16 kilometres. How long will it take to travel 4 kilometres? Jane cut 85cm off a 4.5m piece of ribbon. How much is left?

1.25m

78

4hrs 10mins

79

11 jugs

80

14cm

81

2.05 pm

82

5 litres

83

10000cm

84

1,750 ml

85

833.3 km

86

2hrs 5 mins

87

7½ minutes

88

3.65m

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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A snail can crawl 5cm a day. How long would it take him to crawl 2m? A class bought 5 litres of lemonade for their end of term party. If they drank 3,050ml, how many litres were left over? Measure a book in cm. How many of these books will fit on a metre stick? How many cm will be left over? A decorator buys coving for a room measuring 6.45m by 520cm. How much coving does he need in metres? Sue wants to travel to Birmingham to arrive by 2.30 pm. A train leaves Cradley Heath at 1.45 pm and the journey takes 20 min. At what time will she arrive in Birmingham?

40 days

90

1.950 litres

91

92

23.3m

93

2.05 pm

Y5 - A problem set in the context of measurement, perhaps involving mixed units

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