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year-4-mathematics-2022-autumn-white-rose-reasoning-problem-solving-paper-2
1.
Autumn progress check
Year 4
Paper 2: reasoning and problem solving
First name
Middle name
Last name
Date of birth Day Month Year
Teacher
This progress check has been designed by White Rose Maths.
For more information, please visit whiterosemaths.com
ISBN 978-1-80478-016-9
9 781804 780169
2.
BLANK PAGE
Please do not write on this page.
Page 2 of 16 © White Rose Maths 2022
3.
Instructions
You may not use a calculator to answer any questions in this paper.
Questions and answers
You have 50 minutes to complete this paper.
Follow the instructions for each question.
Work as quickly and as carefully as you can.
If you need to do working out, you can use the space around
the question.
Some questions have a method box like this:
Show
your
method
For these questions you may get a mark for showing
your method.
If you cannot do one of the questions, go on to the next one.
You can come back to it later, if you have time.
If you finish before the end, go back and check your work.
Marks
The number under each line at the side of the page tells you the
maximum number of marks for each question.
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4.
1 Jack makes this number.
Write Jack’s number in numerals.
1 mark
Write Jack’s number in words.
1 mark
2 Complete the number track.
700 800 1,100
1 mark
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5.
3 Draw a shape that has a smaller area than the shaded shape.
1 mark
4 Draw an arrow to show the position of 850 on the number line.
0 1,000
1 mark
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6.
5 Complete the part-whole models.
500
564
4
7,509
6,000 9
2 marks
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7.
6 Alex correctly completes the calculation
350 + 125 = 475
Tick the calculations that Alex could complete to check
her answer.
475 + 125 475 – 125
125 + 475 475 – 350
1 mark
7 Ron has £50
He buys five books costing £3 each.
He then buys three books costing £4 each.
How much money does Ron have left?
Show
your
method
2 marks
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8.
8
0 10,000
Annie says, “The arrow is pointing to 500”
Is Annie correct?
Circle your answer.
Yes No
Explain how you know.
1 mark
9 Here are some numbers written in Roman numerals.
XC IX CX XI C
Tick the greatest number.
1 mark
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9.
10 Complete the number sentences.
10 × 3 = 6 ×
1 mark
500 – 50 = + 50
1 mark
8×2×3=3× ×4
1 mark
11 Write <, > or = to make the statements correct.
2,019 2 thousands, 1 hundred and 9 ones
1 mark
4,000 more than 540 3,000 less than 6,540
1 mark
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10.
12 Dexter has £412
He spends £280 on a new bike.
He shares the money that is left equally between his 11 friends.
How much money does each friend receive?
Show
your
method
2 marks
13 Use estimation to explain why the calculation is incorrect.
6 0 3
– 2 9 1
4 8 2
1 mark
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11.
14 Eva and Mo are playing a game.
Eva scores 2,570 points.
Mo scores 1,150 fewer than Eva.
How many points do they score altogether?
Show
your
method
2 marks
15 Complete the table.
Number 1,005
Rounded to the nearest 10
Rounded to the nearest 100
Rounded to the nearest 1,000
2 marks
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12.
16 Mr Lee has made a map of his garden.
grass
patio
What is the area of Mr Lee’s garden?
squares
1 mark
How much more of Mr Lee’s garden is grass than patio?
squares
2 marks
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13.
17 Annie is working out 6,532 – 1,999
Here is her working.
5
6 145 123 1 2
– 1 9 9 9
4 5 3 3
Explain a more efficient way to work out this subtraction.
1 mark
18 Tommy, Whitney and Rosie each have some stickers.
Tommy has 12 packs of 8 stickers.
Whitney has 39 stickers fewer than Tommy.
In total they have 223 stickers.
How many stickers does Rosie have?
Show
your
method
2 marks
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14.
END OF PAPER
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