Ultimate Exam Question Finder
Every question from real past papers, each with its mark scheme, a worked solution and a shadow: the same question with new numbers.
KS2 SATs 2016 Paper 3: reasoning
21 questions · 35 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.
Question 1 (2 marks)
The numbers in this sequence increase by 14 each time.
Write the missing numbers.
boxedphantomXX 82 96 boxedphantomXX 124 138 boxedphantomXX
(2 marks)
Question 2 (2 marks)
This table shows the temperature at 9am on three days in January.
1st January 8th January 15th January +5°C –4°C +1°C (a)
What is the difference between the temperature on 1st January and
the temperature on 8th January, in °C?(1 mark)
(b)
On 22nd January the temperature was 7 degrees lower than on
15th January.What was the temperature on 22nd January, in °C?
(1 mark)
Question 3 (1 mark)
A clock shows this time twice a day.
Diagram: A clock showing 2:45.
Tick the two digital clocks that show this time.
03:45 02:45 09:45 21:45 14:45 (1 mark)
Question 4 (2 marks)
Each shape stands for a number.
Diagram: Six squares in a T shape. The column on the left has three squares, each with a grey triangle; the arrow under it says Total 96. The middle square of the column starts a row of four squares: triangle, circle, circle, triangle; the arrow at the end of the row says Total 100.
Work out the value of each shape.
(a)
Diagram: A grey triangle, an equals sign and an empty box.
(1 mark)
(b)
Diagram: A circle, an equals sign and an empty box.
(1 mark)
Question 5 (1 mark)
Write these numbers in order, starting with the smallest.
0.78 0.607 5.6 0.098 4.003
(1 mark)
Question 6 (2 marks)
Jacob cuts 4 metres of ribbon into three pieces.
The length of the first piece is 1.28 metres.
The length of the second piece is 1.65 metres.
Work out the length of the third piece, in metres.
Show your method
(2 marks)
Question 7 (2 marks)
Here are five angles marked on a grid of squares.
Diagram: A grid of squares, 8 across and 5 up, with five angles drawn on it, each made by two straight lines meeting at a corner of a square and marked with an arc and a letter: angle a at (1, 1) between lines to (0, 4) and (2, 2); angle b at (3, 3) between lines to (2, 4) and (5, 5); angle c at (3, 2) between lines to (5, 4) and (4, 0); angle d at (5, 2) between lines to (8, 3) and (8, 2); angle e at (6, 1) between lines to (5, 0) and (8, 0) (counting squares across and up from the bottom left corner).
(a)
Write the letters of the angles that are obtuse.
(1 mark)
(b)
Write the letters of the angles that are acute.
(1 mark)
Question 8 (2 marks)
Olivia buys three packets of nuts.
She pays with a £2 coin.
This is her change.
Diagram: Olivia’s change: 50p, 20p, 10p, 10p, 5p.
What is the cost of one packet of nuts?
Show your method
(2 marks)
Question 9 (2 marks)
Here is part of the bus timetable from Riverdale to Mott Haven.
Riverdale 10:02 10:12 10:31 10:48 Kingsbridge 10:11 10:21 10:38 10:55 Fordham 10:28 10:38 10:54 11:11 Tremont 10:36 10:44 11:00 11:17 Mott Haven 10:53 11:01 11:17 11:34 (a)
How many minutes does it take the 10:31 bus from Riverdale to
reach Mott Haven?(1 mark)
(b)
Mr Evans is at Fordham at 10:30
What is the earliest time he can reach Tremont on the bus?
(1 mark)
Question 10 (1 mark)
Emma makes a cuboid using 12 cubes.
Diagram: A cuboid made of cubes, 2 cubes along the left face, 2 cubes along the right face and 3 cubes high.
Write the letter of the cuboid that has a different volume from
Emma’s cuboid.A
Diagram: A cuboid made of cubes, 1 cube along the left face, 2 cubes along the right face and 6 cubes high.
B
Diagram: A cuboid made of cubes, 6 cubes along the left face, 2 cubes along the right face and 1 cube high.
C
Diagram: A cuboid made of cubes, 3 cubes along the left face, 3 cubes along the right face and 2 cubes high.
D
Diagram: A cuboid made of cubes, 3 cubes along the left face, 2 cubes along the right face and 2 cubes high.
E
Diagram: A cuboid made of cubes, 12 cubes along the left face, 1 cube along the right face and 1 cube high.
(1 mark)
Question 11 (2 marks)
A toy shop orders 11 boxes of marbles.
Each box contains 6 bags of marbles.
Each bag contains 45 marbles.
How many marbles does the shop order in total?
Show your method
(2 marks)
Question 12 (1 mark)
A triangle is translated from position A to position B.
Diagram: A squared grid, 14 squares across and 12 up, with two shaded right-angled triangles, the same shape and size, drawn on it (corners counted in squares from the bottom left): A with corners at (2, 7), (2, 9), (6, 7); B with corners at (8, 2), (8, 4), (12, 2).
Complete the sentence.
The triangle has moved boxedphantomXX squares to the right
and boxedphantomXX squares down.(1 mark)
Question 13 (2 marks)
Lara chooses a number less than 20
She divides it by 2 and then adds 6
She then divides this result by 3
Her answer is 4.5
What was the number she started with?
Show your method
(2 marks)
Question 14 (2 marks)
Complete each sentence using a number from the list below.
120 240 600 1,440 3,600 6,000
(a)
There are boxedphantomXX seconds in an hour.
(1 mark)
(b)
There are boxedphantomXX minutes in a day.
(1 mark)
Question 15 (2 marks)
Complete this table by rounding the numbers to the nearest hundred.
Rounded to the nearest hundred 20,906 2,090.6 209.06 (2 marks)
Question 16 (2 marks)
6 small bricks have the same mass as 5 large bricks.
Diagram: A balance: a level beam on a triangular pivot. On the left end of the beam are 6 small bricks; on the right end are 5 large bricks. The beam is level.
The mass of one small brick is 2.5 kg.
What is the mass of one large brick, in kilograms?
Show your method
(2 marks)
Question 17 (1 mark)
Here are five triangles on a square grid.
Diagram: A squared grid, 11 squares across and 9 up, with five shaded triangles drawn on it (corners counted in squares from the bottom left): A with corners at (1, 8), (1, 7), (6, 8); B with corners at (2, 6), (8, 6), (8, 5); C with corners at (1, 4), (1, 1), (3, 1); D with corners at (3, 3), (6, 3), (4, 5); E with corners at (8, 1), (10, 1), (9, 4).
Four of the triangles have the same area.
Which triangle has a different area?
(1 mark)
Question 18 (2 marks)
The diagonals of this quadrilateral cross at right angles.
Diagram: Dotty paper with a rhombus drawn on it, 6 dots wide and 2 dots tall, with its two diagonals drawn: one across, one up and down. They cross at right angles.
Tick all the quadrilaterals that have diagonals which cross at right angles.
Diagram: Dotty paper with four quadrilaterals drawn on it: top left, a kite (point at the bottom); top right, a rectangle 3 dots wide and 5 tall; bottom left, a square 3 dots by 3; bottom right, a parallelogram with sides leaning to the right.
(2 marks)
Question 19 (1 mark)
Circle two numbers that multiply together to equal 1 million.
200 2,000 5,000 50,000
(1 mark)
Question 20 (2 marks)
Lara had some money.
She spent £1.25 on a drink.
She spent £1.60 on a sandwich.
She has three-quarters of her money left.
How much money did Lara have to start with, in pounds (£)?
Show your method
(2 marks)
Question 21 (1 mark)
5,542 ÷ 17 = 326
Explain how you can use this fact to find the answer to 18 × 326
(1 mark)
Questions Crown copyright (Standards and Testing Agency), recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.