PROBLEMS TO SOLVE YEAR 5 A problem set in the context of ‘real life’, but not involving money or measures
Answers 1 A class has 30 pupils. 10% are absent on Monday. How many children are present? The children buy 5 bags of peanuts with 70 peanuts in each bag. There are 7 monkey’s to feed. If they all had equal amounts, how many would each monkey get? Three children play a game. Here are their scores: Harry 262 + 93, Emma 146 + 15, Sandra 306 + 121 What was each child’s total? 15,000 foxes are killed each year on roads in England. How many are killed over six months? Last year, our striker scored 28 goals, the season before 20. If he is to maintain his average, how many must he score this season? There are 12 crayons in a box. a) How many crayons in 11 boxes? b) How many boxes for 200 crayons? A class of 32 pupils has 24 books. How many pairs of pupils will have to share a book for everyone to see the text? Mrs Collins plants some seeds in trays. She plants 12 seeds in 3 trays, 15 seeds in 2 trays and 25 seeds in 1 tray. How many seeds did she plant altogether? My gran is seven times older than me and I am 5 years older than my sister who is 6 years old. How old is my gran? 27 pupils
2
50 each
3
Harry - 355 Emma - 161 Sandra - 427
4
7,500 foxes
5
24 goals
6
a) 132 crayons
b) 17 crayons
7
8 pairs
8
91 seeds
9
77 yrs old
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
1
10
A hall holds 20 rows each with 15 chairs. The school play expects an audience of 250. How many rows will be needed? 257 people tried to buy tickets for a new film at the cinema. There were only 243 tickets available though. How many people could not get a ticket? Class 5 and class 6 are going to see a play. There are 34 children in class 5 and 36 children in class 6. They have ordered 2, 53-seater coaches. If there are 2 teachers, how many places are left on the coaches for parents? A box of tictacs contains on average 37 tictac sweets. On average, how many tictacs would be contained in 6 boxes? There are 22 chocolates in a box. a) How many are there in 7 boxes? b) How many boxes are needed to hold 250 chocolates? The car park has six floors. One floor holds 15 cars. How many cars would it take to be full? There are 68 children in the school hall. If another 5 children come in late and 32 leave for a music lesson, how many are left in the hall? Each capsule on the Millennium Wheel (London Eye) holds 20 people. There are 562 children in the school to put on. How many capsules would we need? There are 28 children in the class. Half of them enjoy football. A quarter of them enjoy swimming. How many children don’t like swimming or football? There are six eggs in a box. a) How many eggs in seven boxes? b) One box has three broken eggs, how many eggs are perfect? c) The farmer sends fifty extra eggs, how many boxes are needed to pack them? A box holds 4 cakes. There are 306 cakes. How many boxes are needed?
17 rows
11
14 people
12
34 places
13
222 tictacs
14
a) 154 chocolates b) 12 boxes
15
90 cars 41 children
16
17
29 capules
18
7
19
a) 42 eggs b) 39 perfect c) 9 boxes
20
77 boxes
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
2
21
Claire sent out 32 invitations to her birthday party. 12 boys and 13 girls have said that they will come. How many children have not replied? A school has booked 273 seats at the theatre. Some are in the Grand Circle and some are in the stalls. If 152 are in the stalls, how many are there in the Grand Circle? Gemma and Sarah have a pizza which has 25 slices. Gemma eats 1/5 of the pizza and Sarah eats 3 slices. How many slices are left? There were 72 seats on a double-decker bus. 50 people got on at the 1st bus-stop, 29 people got on at the 2nd bus-stop and 18 people got on at the 3rd stop. How many people were left standing? Peter is awarded points for three exams he has taken. His first exam was 85 points, the second was 30 points and the third was 132 points. How many points did he get altogether? John has 152 conkers, Louse has 93 conkers. How many more conkers does John have than Louise? 150 children go swimming in years 3 and 4. They have 53 seater coaches but they cannot use the 4 front seats. How many coaches will they need? The whole school visited the theatre to see Cinderella. There were eight classes containing 28 children each with ten teachers. How many people went altogether? I walked two miles to school and then two back from school each day for a week. How many miles did I walk during that week? A netball match begins at 2 pm. It last for 40 mins with a 15 minute break. What time does the match finish? Tony watched TV for 30 mins on Friday evening and 45 mins on Saturday evening. How much time did they spend watching TV on Friday and Saturday evening?
7 children
22
121 seats
23
17 slices
24
25 people standing
25
247 points
26
59 conkers
27
4 coaches
28
234 people
29
20 miles/ week
30
2.55 pm
31
1hr 15mins or 75 mins
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
3
32
There are 9 pens in a box. How many pens are there in 18 boxes? I think of a number, subtract 15. I am left with 15. What is my number? On Friday 98 children went on a school trip leaving 377 children in school. How many pupils attend our school? You begin a Goosebumps book on Monday. On Tuesday you read 9 more pages than on Monday. You reach page 55. How many pages did you read on Monday? A teacher had a pack of 100 new pencils. She gave out 30 in the first week of term, 20 in the next term and 15 in the following term. How many did she have left? A train leaves at 9.30 am and arrives at 1.26pm. How long does the journey last? Year 5 are going on a trip to the Black Country Museum. Coaches hold 52 people. There are 120 children going and 16 adults. How many coaches will they need to book? If I give out 12 sweets a day for good work, how many will I need to buy every fortnight? Jill has Maths, English and Science homework each week. Maths needs 45 minutes, English 50 minutes and Science 30 minutes. How much time does she need to complete her homework? Jill’s family were planning their holiday journey. They were going to Sunny Bay, which was 200 miles away. If their mom drove at a steady 50 miles per hour, how long would it take to get to their destination? Kate buys a box of chocolates for her mum. In total the box holds 47 chocolates. Mum dislikes the soft centres. There are 18 of these. How many will mum eat? There were 30 children in the class and 2/5 were absent last Wednesday. How many were present?
162 pens
33
30
34
475 children
35
23 pages
36
35 pencils
37
3hrs 56 mins
38
3 coaches
39
120 sweets/ fortnight
40
2hrs 5 mins
41
4 hrs
42
29 chocolates
43
18 children
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
4
44
If a coach seats 52, how many coaches will I need to take 220 people to the zoo? There are 300 pupils in a school: 2/3 of them have school dinners, ¼ of them have packed lunches, the rest go home at lunch time. How many pupils go home? Ezekiel needed to be at a meeting for 2.15 pm. It was going to take him 1 hour and 25 minutes to get there. What time did he need to leave? My book has 120 pages. On Friday I read ¼ and on Saturday I read 2/3 of the whole. What fraction of the book have I left to read? A classroom contains 8 tables each with 4 seats. If the class contains 29 children, what is the fewest children that could be on a table? James went to Spain. He had £15 spending money. He needed to change his money into Spanish pesetas. There are 220 Spanish pesetas in one English pound. How many pesetas did James have? 23 children are going to a football match by car. Each car can take four children. How many cars are needed to take the children to the match? Harry is reading a book which is 632 pages long. If he reads 40 pages a day, how many days will it take him to read all of the book? A box of apples contains 108 apples. The apples are on 9 layers. How many apples on each layer? Katie bought a pack of 60 biscuits. She ate a fifth of them on Tuesday, She ate three eighths of the remaining biscuits on Thursday, How many biscuits did she have left? Samantha walks 750m to school but has a lift back home after school. How far does she walk to school in 20 days? Give your answer in km and m.
5 coaches
45
25 pupils
46
12.50 pm
47
1
/12
48
1 child
49
3,300 pesetas
50
6 cars
51
16 days
52
12 apples
53
30 biscuits
54
15,000m 15km
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
5
55
Daniel was going to Paris. The flight would take 1½ hours. It was due to leave Birmingham International at 1315 GMT but was delayed by 45 mins. What time did it arrive in Paris (GMT)? 120 people are going to the theatre. How many 53-seater coaches will be needed to take them? 7,873 fans attend a football match at Bescot Stadium on Tuesday. This is 1,201 more than the previous match which was played on Saturday. How many fans were at Saturday’s game? A football match kicks off at 2.45 pm. A full 90 minutes are played, with 15 minutes for half-time. There are 3 minutes of injury time. What time is the final whistle? A coach holds 52 people. Three classes are going on an outing. Each class has 29 children in it. How many coaches will need to be booked? The teacher had 35 children in the class. Each child needed a Maths book, a spelling book, an English book and a rough book. How many books did the teacher need? There are 48 children in Y5. One half of them have a cooked dinner and 1/3 have sandwiches. How many children go home for dinner? At the football match there were 24,000 people in the crowd. Five minutes before the final whistle 1/3 of them had left the ground. How many were left? 240 tickets are printed for the school play. 2/3 of the tickets are sold. How many are left unsold? There are 300 children in school and half play football. The ratio of boys to girls who play football is 2:1. How many girls play football? There are 15 shelves on a bookcase. 7 of the shelves have 15 books and 8 of the shelves have 12 books . How many books are on the bookcase?
1530
56
3 coaches
57
6,672 fans
58
4.33 pm
59
2 coaches
60
140 books
61
8 children
62
16,000 people
63
80 tickets
64
50 girls
65
201 books
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
6
66
3,020 people attended the football match at Stoke. If 4,0616 were at the Manchester United game, how many more people were there at United’s ground? There are 4 shelves of books: 2 of the shelves hold 20 books each, 2 of the shelves hold 35 books each. How many books altogether on the shelves? 85 children and their 6 teachers are visiting Dudley Zoo. Each coach holds 30 passengers. How many coaches will be needed? A programme is taped every week for 24 weeks on 3 hr video tapes. If the programmes run for 40 mins, how many video tapes will be needed? My petrol tank holds 25 litres. I need to fill up my tank. I put in 19 litres. How many litres were still in the tank before I filled up? I use 25 litres each week. How many litres do I use in one year? The attendances at Manchester United’s Champions League games in 1999/2000 were: 67,241, 63,109 and 65,327. What was the average attendance rounded to the nearest whole? A bag of marshmallows holds 60 sweets. Jodie buys 6 bags. How many altogether? She and her friends toast and eat ¾ of them. How many are left? George decides to sort his Pokémon cards out. He decides to put them into bundles of 15. He counts his cards and find he has 173 cards. a) How many bundles does he end up with? b) How many more does he need to complete the next bundle? Tim has a swimming lesson at 5.15 pm. He needs to leave half an hour before his lesson to get there in time. Today he is fifteen minutes late. a) What time did he set off? b) What time should he have set off?
37,596 people
67
110 books
68
4 coaches
69
6 tapes
70
6 litres 1,300 litres
71
65,226
72
360 sweets 90 sweets
73
a) 11 bundles b) 7 cards
74
a) 5.00 pm b) 4.45 pm
Y5 - A problem set in the context of ‘real life’, but not involving money or measures
7