Reasoning and Problem Solving - Worksheets, Questions and Revision

18 original exam-style questions - 4 pages of questions with a full mark scheme - free printable PDF.

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KS2 · Reasoning and Problem Solving

KS2.M-Y4R1 Reasoning and Problem Solving

Calculators not allowed · about 60 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Liam has 245 stickers. He gives 38 stickers to Mia and 17 stickers to Noah. How many stickers does Liam have left?
(2)
2
A packet of 6 apples costs 78p. What is the cost of one apple in pence? Give your answer in pence.
(2)
3
Sofia reads 36 pages each day. How many days will it take her to read a book of 252 pages?
(2)
4
A rectangle has length 14 cm and width 6 cm. Sara draws the same rectangle 3 times to make a strip. What is the total area of the strip in square centimetres?
(2)
5
A baker uses 450 g of flour for 15 buns. How many grams of flour does he use for one bun?
(2)
6
Tom has three boxes. The first box has 24 marbles, the second has twice as many as the first, and the third has 6 fewer than the second. How many marbles are there altogether?
(2)
7
A shelf is 180 cm long. Emma places 5 identical books along the shelf with equal spaces between them and 10 cm at each end. What is the distance between each book (the equal space between books)?
(2)
8
There are 48 children in a class. They are split into groups of 6 for an activity. After making the groups, 2 children join from another class. How many groups of 6 can be made now?
(2)
9
A toy costs £4.75. Mary has £15. How many toys can she buy and how much change will she have left? Give the change in pounds and pence.
(2)
10
A gardener plants bulbs in rows. Each row holds 9 bulbs. He plants 6 full rows and has 5 bulbs left. How many bulbs did he start with?
(2)
11
A bottle holds 1.5 litres of juice. How many millilitres is this? Then, if a glass holds 250 ml, how many full glasses can be filled from one bottle?
(a)Convert 1.5 litres to millilitres.(1)
(b)How many full 250 ml glasses can be filled from the bottle?(1)
12
A cinema has 8 rows with 12 seats in each row. Tickets for a showing sell for £6 each. If all seats are sold, what is the total money taken?
(2)
13
Nia ran 2.4 km on Monday and 3.6 km on Tuesday. How many metres did she run in total over the two days?
(2)
14
A school orders packs of pencils. Each pack has 10 pencils and costs 85p. They order 14 packs. What is the total cost in pounds and pence?
(2)
15
A class has 30 pupils. Two fifths of the class go on a trip. How many pupils go on the trip?
(2)
16
A farmer sorts 360 apples into boxes. He puts 9 apples in each small box and 30 apples in each crate. He uses only full boxes and crates and wants to use exactly 360 apples. Suggest one possible number of crates and small boxes he could use. Show how you know your answer is correct.
(3)
17
Explain why the number 48 can be made by adding three consecutive even numbers. Give an example and show the calculation.
(3)
18
A puzzle: Three friends share a bundle of carrots. Ali takes twice as many as Ben. Cara takes 5 fewer than Ali. Together they take 83 carrots. Explain whether this is possible and show why or why not.
(4)
Mark scheme · KS2.M-Y4R1 Reasoning and Problem Solving

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