Problem Solving Skills Pack - Worksheets, Questions and Revision

18 original exam-style questions - 8 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Problem Solving (Number, Calculation, Fractions, Measurement, Geometry, Statistics, Ratio and Proportion)

KS2.M-PS1 Problem Solving Skills Pack

NATIONAL CURRICULUM KS2 National Curriculum Mathematics - Problem Solving Skills Framework · Calculators not allowed · about 80 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Here are five number cards showing the four-digit numbers 4082, 4820, 4208, 4028 and 4802. Write the five numbers in order, starting with the smallest.
(2)
2
Priya buys a sandwich for £2.35 and a bottle of juice for £1.20. She pays with a £5 note. Work out how much change she should receive.
(2)
3
A baker arranges cakes on trays. Each tray holds 8 cakes. The baker fills 7 trays completely. Work out how many cakes are on the trays altogether.
(2)
4
A leisure centre is setting out chairs for a sports awards evening. Each row holds 16 chairs. 235 people are expected to attend. Work out the smallest number of rows of chairs needed so that everyone has a seat.
(3)
5
A train leaves Bristol at 08:53 and arrives in Cardiff at 09:41.
(a)A train leaves Bristol at 08:53 and arrives in Cardiff at 09:41. Work out how long the journey from Bristol to Cardiff takes.(1)
(b)The train waits at Cardiff for 6 minutes, then continues to Swansea, arriving at 10:29. Work out the total journey time, in minutes, from Bristol to Swansea.(3)
6
There are 360 pupils in Oakfield Primary School. 2/5 of the pupils walk to school. Work out how many pupils walk to school.
360 pupils walk to school do not walk to school
(3)
7
A rectangular school garden measures 24 m in length and 15 m in width.
24 m 15 m
(a)Find the perimeter of the garden.(2)
(b)The garden is to be covered with turf costing £3 per square metre. Work out the total cost of the turf.(3)
8
Kwame goes to the school shop with a £10 note. He buys 3 pens at 45p each and 2 notebooks at £1.60 each. Work out how much change he receives.
(4)
9
The table shows the number of books read by four classes during a school reading challenge held from 01/06/2026 to 30/06/2026.
Class Books read 5A 48 5B 35 5C 52 5D 41
(a)How many more books did Class 5C read than Class 5B?(1)
(b)Find the total number of books read by all four classes.(2)
(c)The school set a target of reading 200 books in total during the challenge. By how many books did the four classes miss the target?(2)
10
A large water dispenser holds 15 litres of water when full. On Monday, 62 cups of water were poured from a full dispenser, each cup holding 150 ml. Work out how many millilitres of water were left in the dispenser after the 62 cups had been poured.
(4)
11
Four athletes' long jump distances were: Fatima 3.42 m, Ravi 3.4 m, Nia 3.09 m, Callum 3.45 m.
(a)Which athlete jumped the furthest?(1)
(b)Work out the difference in distance between the furthest jump and the shortest jump.(2)
12
A coat costs £84. In a sale, the price is reduced by 30%. Work out the total cost of buying 2 coats at the sale price.
(4)
13
At 6 am, the temperature in Aberdeen was -4 degrees C.
(a)At 6 am, the temperature in Aberdeen was -4 degrees C. By 2 pm, the temperature had risen by 11 degrees C. Work out the temperature at 2 pm.(2)
(b)At 2 pm, the temperature in Norwich was 15 degrees C. Work out the difference between the temperature in Norwich and the temperature in Aberdeen at 2 pm.(1)
14
Sophie and Deepak share a bag of 96 sweets so that for every 5 sweets Sophie gets, Deepak gets 3. Work out how many sweets Deepak receives.
96 sweets Sophie (5 parts) Deepak (3 parts)
(4)
15
Three angles lie on a straight line. The first angle is 42 degrees. The second angle is twice the size of the first angle. Work out the size of the third angle.
42 degrees 2nd angle 3rd angle
(4)
16
A class makes 60 cakes for a school bake sale.
(a)A class makes 60 cakes for a school bake sale. 3/4 of the cakes are chocolate cakes and the rest are lemon cakes. Work out how many lemon cakes there are.(2)
(b)Each chocolate cake sells for £1.20 and each lemon cake sells for £1.50. If all the cakes are sold, work out the total amount of money raised.(3)
17
A recipe for 12 flapjacks uses 150 g of oats, 100 g of butter and 80 g of sugar.
(a)A recipe for 12 flapjacks uses 150 g of oats, 100 g of butter and 80 g of sugar. Nadia wants to make 30 flapjacks using the same recipe in the same proportions. Work out how much butter she needs.(2)
(b)Work out how much oats she needs for 30 flapjacks.(2)
(c)Butter costs £4 per 500 g bag and oats cost £2 per 500 g bag; both are sold only in whole bags. Work out the total cost of the butter and oats Nadia must buy for the 30 flapjacks.(3)
18
A school is organising a trip for 87 pupils to a science centre.
(a)A school is organising a trip for 87 pupils to a science centre. Entry to the science centre costs £6.50 per pupil. Work out the total cost of entry tickets for all 87 pupils.(2)
(b)Coach hire for the trip costs £315 in total. Work out the total cost of the trip (coach hire plus entry tickets).(2)
(c)The school has a budget of £900 for the trip. The school wants to spend any money left in the budget on a £0.75 bottle of water for every pupil. Explain, showing your working, whether the school has enough money left in the budget to buy every pupil a bottle of water.(3)
Mark scheme · KS2.M-PS1 Problem Solving Skills Pack

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18