Write down the value of the digit 8 in the number 583 204.
(1)
2
The temperature in Leeds is -6 degrees C. The temperature in Bristol is 9 degrees C warmer than in Leeds. Work out the temperature in Bristol.
(1)
3
Circle the number below that is a multiple of both 6 and 8.
A) 20
B) 36
C) 48
D) 54
4
Round 152 763 to the nearest 1000.
(1)
5
Write 16/24 in its simplest form.
(1)
6
How many lines of symmetry does a regular hexagon have?
(1)
7
150 / ? = 6 Work out the missing number.
(1)
8
Write down how many minutes there are in 2 hours 45 minutes.
(1)
9
Work out 3 + 4 x 5.
(1)
10
Calculate 15% of 180 pounds.
(1)
11
Two angles on a straight line are 97 degrees and y degrees. Work out the value of y.
Figure (to be drawn): A straight line with two angles marked at a point on it: one angle labelled 97 degrees and the other labelled y degrees.
(1)
12
Work out 5.7 + 2.65.
(1)
13
Which is smaller, 7/10 or 0.68? Write your answer as a decimal.
(1)
14
Work out 342 x 6. Show your method in the box below. You may get a mark for using a correct method even if your answer is incorrect.
(2)
15
Greenwood Primary School has 315 pupils. 2/7 of the pupils walk to school. Work out how many pupils walk to school. You may get a mark for using a correct method even if your answer is incorrect.
(2)
16
A garden is L-shaped, made from a 9 m by 7 m rectangle with a 3 m by 2 m rectangle removed from one corner. Work out the area of the garden. You may get a mark for using a correct method even if your answer is incorrect.
Figure (to be drawn): An L-shaped garden formed from a 9 m by 7 m rectangle with a smaller 3 m by 2 m rectangle removed from one corner.
(2)
17
The table shows the rainfall, in mm, in a town over 5 months: March 58 April 41 May 66 June 34 July 52 Work out the range of the rainfall. You may get a mark for using a correct method even if your answer is incorrect.
(2)
18
Callum's train leaves the station at 13:48 and arrives at 16:25. Work out how long the journey takes. You may get a mark for using a correct method even if your answer is incorrect.
(2)
19
Triangle S has vertices at A(1, 2), B(1, 6) and C(4, 2).
Figure (to be drawn): A coordinate grid (0 to 8 on both axes) with triangle S plotted using vertices A(1, 2), B(1, 6) and C(4, 2).
(a)Write the coordinates of the image of vertex C after a reflection in the y-axis.(1)
(b)Work out the area of triangle S. You may get a mark for using a correct method even if your answer is incorrect.(2)
20
Solve 3n + 7 = 40 to find the value of n. You may get a mark for using a correct method even if your answer is incorrect.
(2)
21
Which is greater, 3/8 or 0.4? Show working to justify your answer.
(2)
22
Priya says: 'If you double the perimeter of a square, you double its area.' Using an example, show whether Priya is correct.
(2)
23
Mrs Ahmed's school hall has 15 rows of chairs. 6 of the rows have 24 chairs each. The remaining rows each have 3 fewer chairs than these rows. Work out the total number of chairs in the hall. You may get marks for using a correct method even if your answer is incorrect.
(3)
Mark scheme · SATS.KS2-M3 KS2 Maths Paper 3: Reasoning (SATs Practice)
Question 1
B1 80000 oe (e.g. 80 thousand) cao
Answer: 80000
Question 2
B1 3 degrees C cao
Answer: 3 degrees C
Question 3
B1 C (48) cao
Answer: 48
Question 4
B1 153000 cao
Answer: 153000
Question 5
B1 2/3 cao
Answer: 2/3
Question 6
B1 6 cao
Answer: 6
Question 7
B1 25 cao
Answer: 25
Question 8
B1 165 (minutes) cao
Answer: 165 minutes
Question 9
B1 23 cao
Answer: 23
Question 10
B1 27 pounds cao
Answer: 27 pounds
Question 11
B1 83 (degrees) cao
Answer: 83 degrees
Question 12
B1 8.35 cao
Answer: 8.35
Question 13
B1 0.68 cao
Answer: 0.68
Question 14
M1 correct method (e.g. 300 x 6 = 1800 and 42 x 6 = 252, or the standard written algorithm) with at most one arithmetic slip oe
A1 2052 cao
Answer: 2052
Question 15
M1 315 / 7 = 45 oe
A1 90 cao
Answer: 90 pupils
Question 16
M1 9 x 7 = 63 and 3 x 2 = 6 (or equivalent correct method) oe
A1 57 cao (square metres)
Answer: 57 square metres
Question 17
M1 identifies the highest value (66) and the lowest value (34) oe
A1 32 cao (mm)
Answer: 32 mm
Question 18
M1 correct method (e.g. 13:48 to 14:00 is 12 minutes, 14:00 to 16:25 is 145 minutes) oe
A1 2 hours 37 minutes cao
Answer: 2 hours 37 minutes
Question 19
(a) B1 (-4, 2) cao
(a) Answer: (-4, 2)
(b) M1 identifies base AC = 3 and height AB = 4 (or equivalent correct method) oe
(b) A1 6 square units cao
(b) Answer: 6 square units
Question 20
M1 33 seen (40 - 7) oe
A1 n = 11 cao
Answer: n = 11
Question 21
M1 converts 3/8 to 0.375 (or converts 0.4 to a fraction with a common denominator) oe
A1 correct conclusion that 0.4 is greater, with valid justification
Answer: 0.4 is greater
Question 22
M1 a valid example showing the original area and the new area after the perimeter is doubled (e.g. side 3 cm, area 9 cm2; doubled perimeter gives side 6 cm, area 36 cm2) oe
A1 correct conclusion that Priya is not correct, since the area becomes 4 times as large (not double), with the example as evidence
Answer: Priya is not correct; the area becomes 4 times as large, not double
Question 23
M1 6 x 24 = 144 (chairs in the fully loaded rows) oe
M1 (15 - 6) x (24 - 3) = 9 x 21 = 189 (chairs in the remaining rows) oe