KS2 Maths Paper 2: Reasoning (SATs Practice) - Worksheets, Questions and Revision

23 original exam-style questions - 5 pages of questions with a full mark scheme - free printable PDF.

Download PDFJump to mark scheme (page 6)
« Previous: KS2 Maths Paper 1: Arithmetic (SATs Practice)Next: KS2 Maths Paper 3: Reasoning (SATs Practice) »
Revision Library
revisionlibrary.co.uk
KS2 · Reasoning

SATS.KS2-M2 KS2 Maths Paper 2: Reasoning (SATs Practice)

STA NATIONAL CURRICULUM TESTS STA/KS2/MATHS/REASONING-P2 · Calculators not allowed · about 40 minutes
Total Marks
Name: _______________________________    Date: ____ / ____ / ______
Answer ALL questions. Show all your working.
1
Write these numbers in order, starting with the smallest.
3406 3460 3046 3064
(1)
2
Round 68 342 to the nearest 1000.
(1)
3
A minibus can carry 9 passengers. 245 pupils need to travel to a museum, with every minibus fully loaded except possibly the last one.
Work out the smallest number of minibuses needed to carry all 245 pupils.
You may get a mark for using a correct method even if your answer is incorrect.
(2)
4
Write a fraction that is equivalent to 3/4 and has a denominator of 12.
(1)
5
Convert 5.6 cm to millimetres.
(1)
6
Calculate 15% of 260 pounds sterling.
You may get a mark for using a correct method even if your answer is incorrect.
(2)
7
Amelia and Jack share 36 pounds in the ratio 2 : 1.
Work out the smaller share.
(1)
8
A 3D shape has 6 faces, 12 edges and 8 vertices, and every face is a square.
Name this shape.
(1)
9
A fruit drink is made by mixing orange juice and lemonade in the ratio 3 : 5.
Ola makes 480 ml of the drink for a party using this ratio.
She then makes a second batch using twice as much orange juice as she used in the first batch, keeping the ratio of orange juice to lemonade the same.
Work out how much lemonade Ola needs for the second batch.
You may get marks for using a correct method even if your answer is incorrect.
(3)
10
240 / ? = 6
Work out the missing number.
(1)
11
A rectangular field has a perimeter of 156 m. The length of the field is 48 m.
Work out the width of the field.
You may get a mark for using a correct method even if your answer is incorrect.
(2)
12
A train leaves the station at 09:47 and arrives at 10:15.
How many minutes does the journey take?
(1)
13
Tariq buys 3 notebooks and 2 pens from the school shop. He pays with a 10 pound note.
Work out how much change Tariq gets.
You may get marks for using a correct method even if your answer is incorrect.
Figure (to be drawn): Price list on the school shop noticeboard: Notebook - 1.85 pounds each; Pen - 0.65 pounds each.
(3)
14
Two angles on a straight line are 118 degrees and x degrees.
Work out the value of x.
Figure (to be drawn): A straight line with two angles marked at a point on it: one angle labelled 118 degrees and the other labelled x degrees.
(1)
15
Write 0.35 as a fraction in its simplest form.
(1)
16
A triangle has angles of 54 degrees and 79 degrees.
Work out the size of the third angle.
You may get a mark for using a correct method even if your answer is incorrect.
Figure (to be drawn): A triangle with two of its interior angles labelled 54 degrees and 79 degrees; the third angle is unmarked.
(2)
17
A rectangle has vertices at (2, 1), (2, 5), (6, 5) and a fourth vertex that is missing.
Write the coordinates of the missing vertex.
Figure (to be drawn): A coordinate grid (0 to 8 on both axes) showing three plotted vertices of a rectangle: (2, 1), (2, 5) and (6, 5); the fourth vertex is missing.
(1)
18
Point A is at (3, 2). It is reflected in the x-axis (the line y = 0).
Write the coordinates of the image of point A.
(1)
19
Triangle T has vertices at A(1, 1), B(1, 4) and C(3, 1). Triangle T is translated 4 squares right and 2 squares up to give triangle T'.
Figure (to be drawn): A coordinate grid (0 to 10 on both axes) with triangle T plotted using vertices A(1, 1), B(1, 4) and C(3, 1).
(a)Write the coordinates of the image of vertex B after the translation.(1)
(b)Work out the area of triangle T. You may get a mark for using a correct method even if your answer is incorrect.(2)
20
The bar chart shows the number of books read by four children in June.
How many more books did Cara read than Ben?
Figure (to be drawn): Bar chart titled 'Books read in June' with vertical axis 'Number of books' from 0 to 10 in steps of 1, and four bars labelled Amy, Ben, Cara and Dev with heights 8, 5, 9 and 6 respectively.
(1)
21
Calculate 47 x 8.
(1)
22
In a pictogram, each full symbol represents 4 books. The row for Year 6 shows 3 full symbols and 1 half symbol.
How many books does this represent?
Figure (to be drawn): Pictogram titled 'Books read by class' with a key stating one full book symbol = 4 books; the Year 6 row shows 3 full symbols and 1 half symbol.
(1)
23
A school orders 18 boxes of pencils. Each box contains 24 pencils.
The pencils are shared equally between 25 classes, with any pencils left over given to the school office.
Work out how many pencils the school office receives.
You may get marks for using a correct method even if your answer is incorrect.
(3)
Mark scheme · SATS.KS2-M2 KS2 Maths Paper 2: Reasoning (SATs Practice)

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

Question 19

Question 20

Question 21

Question 22

Question 23