KS1 Reasoning Math Sample Papers

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Key Stage 1 Reasoning

Three methods of reasoning are the deductive, inductive, and abductive approaches.
1. 2019 national curriculum tests
Key stage 1
Mathematics
Paper 2: reasoning
First name
Middle name
Last name
Total marks
2. Amy Ajay
Ben Sam Sita Kemi
Page 2 of 32
3. Practice question
M006811 – 23 October 2018 3:18 PM – Version 2
Page 3 of 32
4. M003843 – 24 September 2018 4:11 PM – Version 3
Monday
Friday
Wednesday
Saturday
1 mark
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5. M006396 – 24 September 2018 4:12 PM – Version 2
2
52 57
1 mark
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KS1 item template version 2 NFER Item Development – CONFIDENTIAL
6. M004975 – 2 January 2019 12:56 PM – Version 4
3
1 mark
Page 6 of 32
KS1 item template version 1
7. M006815 – 24 September 2018 4:14 PM – Version 2
4
12 = × 6
1 mark
M004955 – 24 September 2018 4:16 PM – Version 3
5
96
1 mark
Teacher: Page 7 of 32
KS1 item template version 2
8. M004991 – 27 December 2018 2:43 PM – Version 3
6 Match each shape to the correct description.
One is done for you.
shape description
triangle has 8 vertices
square has 3 sides
octagon has 4 right angles
circle has no vertices
1 mark
Page 8 of 32
KS1 item template version 1
9. M005353 – 24 September 2018 4:18 PM – Version 2
7 Here are two cards.
+ −
Choose a card to make each calculation correct.
One is done for you.
4 + 1 = 5
23 1 = 22
40 1 = 39
19 1 = 20
1 mark
Page 9 of 32
KS1 item template version 2
10. M003880 – 27 September 2018 2:00 PM – Version 6
8 Circle the three dice that add up to 13
1 mark
Page 10 of 32
11. M004900 – 24 September 2018 4:20 PM – Version 4
9 Match each egg box to the correct multiplication.
One is done for you.
6{2
5{3
3{2
5{2
1 mark
Page 11 of 32
KS1 item template version 1
12. M006827 – 24 September 2018 4:21 PM – Version 1
10 Sam has cards that are numbered 1 to 8
Sam turns over two of the cards.
8 1 5
2 4 7
Which two cards has Sam turned over?
Write the numbers on the cards below.
1 mark
Page 12 of 32
KS1 item template version 2
13. M005756 – 27 September 2018 12:52 PM – Version 3
11 Complete the number sentences.
One is done for you.
1
of 8 =4
2
1
of =3
2 1 mark
M004211 – 24 September 2018 4:28 PM – Version 3
12 Write the missing numbers in the sequence.
16 14 12
1 mark
Page 13 of 32
KS1 item template version 2
14. M005362 – 24 September 2018 4:29 PM – Version 2
13 Each pair of cards has a total of 70
Write numbers to complete the pairs.
One is done for you.
50 20
10
30
1 mark
Page 14 of 32
KS1 item template version 2
15. M004125 – 24 September 2018 4:30 PM – Version 2
14 Write the correct number in the box.
45 50 55 60 65 70
1 mark
Page 15 of 32
16. M004170 – 27 September 2018 2:12 PM – Version 4
15 Amy has 50p.
She buys a pencil for 30p.
Tick the purse that shows how much money Amy
has left.
1 mark
Page 16 of 32
17. M006885 – 24 September 2018 4:34 PM – Version 2
16 Here is a prism.
Tick all the shapes that are faces on this prism.
1 mark
Page 17 of 32
KS1 item template version 2
18. M005736 – 24 September 2018 4:35 PM – Version 3
17 Match each clock to the time it shows.
12 1
11
10 2
9 3 twenty-five past four
8 4
7 6 5
12 1
11
10 2
9 3 quarter to four
8 4
7 6 5
12 1
11
10 2
9 3 quarter past four
8 4 1 mark
7 6 5
Page 18 of 32
KS1 item template version 2
19. M004920 – 24 September 2018 4:38 PM – Version 4
18 Tick the shape that has a line of symmetry.
1 mark
M003855 – 24 September 2018 4:39 PM – Version 4
19 Write the next number sentence in the pattern.
1 + 2 + 3 = 6
2 + 3 + 4 = 9
3 + 4 + 5 = 12
4 + 5 + 6 = 15
+ + =
1 mark
Page 19 of 32
KS1 item template version 1
20. M003867 – 27 September 2018 1:33 PM – Version 3
20 Sam is pointing at the triangle.
He turns a half turn.
Tick the shape Sam is pointing at after the half turn.
1 mark
Page 20 of 32
21. M003881 – 24 September 2018 4:42 PM – Version 2
21 Sam has four number cards.
10 20 30 40
Use three of his cards to make these correct.
27 + = 67
54 − = 34
+ 88 = 98
2 marks
Page 21 of 32
22. M004930 – 17 December 2018 10:06 AM – Version 3
22 This chart shows what class 2 ate for lunch today.
10
9
8
7
number 6
of children 5
4
3
2
1
0
fish pasta pizza burger
type of food
Fewer children ate pizza than burger.
How many fewer?
children
1 mark
Page 22 of 32
KS1 item template version 1
23. M003844 – 24 September 2018 4:44 PM – Version 5
23 Ben has five marbles.
Kemi has seven times that number.
How many marbles does Kemi have?
marbles
1 mark
Page 23 of 32
24. M006842 – 27 December 2018 3:04 PM – Version 1
24 Sam plays a maths game.
Each is equal to 2 points.
+ + = 10 points
How many points is one equal to?
points
1 mark
Page 24 of 32
KS1 item template version 2
25. M004913 – 3 December 2018 9:38 AM – Version 2
25 Write five coins that have a total of 37p.
p p p p p
1 mark
M004171 – 27 September 2018 1:32 PM – Version 4
26 Ajay has 30 pencils.
He shares them equally between 3 pots.
Complete the number sentence to show
how Ajay shares the pencils.
÷ =
1 mark
Page 25 of 32
KS1 item template version 1
26. M005781 – 17 December 2018 10:20 AM – Version 3
27 Some children make a chart of
how many books they read in a week.
Key: stands for 1 book
Ben
Kemi
Ajay
Sita
Which children read fewer than 5 books?
Circle them.
Ben Kemi
Ajay Sita
1 mark
Page 26 of 32
KS1 item template version 2
27. M006066 – 27 December 2018 3:08 PM – Version 2
28 Put a digit into each empty box to make the calculation correct.
1 + 3 = 2 9
1 mark
Page 27 of 32
KS1 item template version 2
28. M006412 – 28 November 2018 1:44 PM – Version 3
29 There are 100g of chocolate chips in the bag.
Chocolate
Chips
Sita uses 25g.
Ben uses 35g.
How many grams of chocolate chips are left
in the bag?
Show
your
working
g
2 marks
Page 28 of 32
KS1 item template version 2 NFER Item Development – CONFIDENTIAL
29. M004128 – 27 December 2018 3:12 PM – Version 3
30 A shop has 12 bags of crisps.
It sells 1 of the bags.
4
How many bags of crisps
did the shop sell?
bags
1 mark
M006924 – 27 September 2018 12:54 PM – Version 1
31 Ben has 63 beads.
He gives 37 beads away.
How many beads does Ben have left?
beads
1 mark
Page 29 of 32
30. M006420 – 27 September 2018 2:24 PM – Version 2
32 Ben has 90p.
Ticket
He buys 2 tickets. 35p
Each ticket costs 35p.
How much money does Ben have left?
Show
your
working
p
2 marks
End of test
Page 30 of 32
KS1 item template version 2 NFER Item Development – CONFIDENTIAL
31. [BLANK PAGE]
Please do not write on this page.
Page 31 of 32
32. 2019 key stage 1 mathematics
Paper 2: reasoning
Print version product code: STA/19/8208/p ISBN: 978-1-78957-004-5
Electronic PDF version product code: STA/19/8208/e ISBN: 978-1-78957-023-6
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