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 2017 Paper 2: reasoning
23 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)
William asks the children in Year 2 and Year 6 if they walk to school.
This graph shows the results.
Diagram: A bar chart of the number of children (0 to 140, a line every 10, numbered every 20) with a key: dark bars for walk to school, light bars for don’t walk to school. Year 2: walk to school 70, don’t walk to school 110. Year 6: walk to school 120, don’t walk to school 90.
(a)
Altogether, how many children don’t walk to school?
(1 mark)
(b)
How many more Year 6 children than Year 2 children walk to school?
(1 mark)
Question 2 (1 mark)
Circle the number that is 10 times greater than nine hundred and seven.
9,700 907 9,007 970 9,070 (1 mark)
Question 3 (1 mark)
Write the missing numbers to make this multiplication grid correct.
× boxedphantomXX boxedphantomXX 9 63 54 boxedphantomXX 56 48 (1 mark)
Question 4 (2 marks)
This table shows the heights of three mountains.
Mountain Height in metres Mount Everest 8,848 Mount Kilimanjaro 5,895 Ben Nevis 1,344 How much higher is Mount Everest than the combined height of the other two mountains?
Show your method
(2 marks)
Question 5 (2 marks)
Complete this table with the missing numbers.
One row has been done for you.
Number 1,000 more 3,500 4,500 85 boxedphantomXX boxedphantomXX 9,099 boxedphantomXX 15,250 (2 marks)
Question 6 (1 mark)
Write these numbers in order of size, starting with the smallest.
1.9 0.96 1.253 0.328 (1 mark)
Question 7 (2 marks)
Write the missing numbers.
60 months = boxedphantomXX years
72 hours = boxedphantomXX days
84 days = boxedphantomXX weeks
(2 marks)
Question 8 (2 marks)
At the start of June, there were 1,793 toy cars in the shop.
During June,
• 8,728 more toy cars were delivered
• 9,473 toy cars were sold.
How many toy cars were left in the shop at the end of June?
Show your method
(2 marks)
Question 9 (1 mark)
Tick two shapes that have 3/4 shaded.
Diagram: A rectangle divided into 8 equal parts (2 across and 4 down), 6 of them shaded: row 1 column 1, row 2 column 1, row 2 column 2, row 3 column 1, row 3 column 2, row 4 column 2.
Diagram: A rectangle divided into 6 equal parts (2 across and 3 down), 3 of them shaded: row 1 column 2, row 2 column 1, row 3 column 1.
Diagram: A rectangle divided into 9 equal parts (3 across and 3 down), 7 of them shaded: row 1 column 1, row 1 column 2, row 1 column 3, row 2 column 2, row 3 column 1, row 3 column 2, row 3 column 3.
Diagram: A rectangle divided into 16 equal parts (4 across and 4 down), 12 of them shaded: row 1 column 1, row 1 column 2, row 1 column 3, row 1 column 4, row 2 column 1, row 2 column 4, row 3 column 1, row 3 column 4, row 4 column 1, row 4 column 2, row 4 column 3, row 4 column 4.
(1 mark)
Question 10 (2 marks)
Round 84,516
to the nearest 10 boxedphantomXX to the nearest 100 boxedphantomXX to the nearest 1,000 boxedphantomXX (2 marks)
Question 11 (2 marks)
Here is a rule for the time it takes to cook a chicken.
Cooking time = 20 minutes plus an extra 40 minutes for each kilogram
(a)
How many minutes will it take to cook a 3 kg chicken?
(1 mark)
(b)
What is the mass of a chicken that takes 100 minutes to cook?
Give your answer in kilograms.
(1 mark)
Question 12 (2 marks)
Here are diagrams of some 3-D shapes.
Tick each shape that has the same number of faces as vertices.
Cube
Diagram: A drawing of a cube, its three hidden edges dashed.
Square-based pyramid
Diagram: A drawing of a square-based pyramid, its three hidden edges dashed.
Triangular prism
Diagram: A drawing of a triangular prism with a triangle at the front, its three hidden edges dashed.
Triangular-based pyramid
Diagram: A drawing of a triangular-based pyramid: an apex above a triangle, the hidden edge at the back dashed.
(2 marks)
Question 13 (2 marks)
Ally and Jack buy some stickers.
Pack of 12 stickers 12 stickers £10.49 99p each Ally buys a pack of 12 stickers for £10.49
Jack buys 12 single stickers for 99p each.
How much more does Jack pay than Ally?
Show your method
(2 marks)
Question 14 (1 mark)
Amina planted some seeds.
For every 3 seeds Amina planted, only 2 seeds grew.
Altogether, 12 seeds grew.
How many seeds did Amina plant?
(1 mark)
Question 15 (1 mark)
At the end of a film, the year is given in Roman numerals.
Write the year MMVI in figures.
(1 mark)
Question 16 (1 mark)
Layla completes one-and-a-half somersaults in a dive.
How many degrees does Layla turn through in her dive?
(1 mark)
Question 17 (1 mark)
The vertices of a quadrilateral have these coordinates.
(1, 5) (5, 4) (1, –3) (–3, 4)
One side of the quadrilateral has been drawn on the grid.
Complete the quadrilateral.
Use a ruler.
Diagram: A coordinate grid with x and y from –6 to 6. A line is drawn from (1, 5) to (5, 4), with a dot at each end.
(1 mark)
Question 18 (1 mark)
A cat sleeps for 12 hours each day.
50% of its life is spent asleep.
Write the missing percentage.
A koala sleeps for 18 hours each day.
boxedphantomXX\% of its life is spent asleep.
(1 mark)
Question 19 (2 marks)
Amina posts three large letters.
The postage costs the same for each letter.
She pays with a £20 note.
Her change is £14.96
What is the cost of posting one letter?
Show your method
(2 marks)
Question 20 (1 mark)
Adam says,
“0.25 is smaller than 2/5”
Explain why he is correct.
(1 mark)
Question 21 (2 marks)
On a map, 1 cm represents 20 km.
Diagram: A scale bar 5 cm long, with a mark every centimetre numbered 0, 20, 40, 60, 80, 100 kilometres.
The distance between two cities is 250 km.
On the map, what is the distance between the two cities?
Give your answer in centimetres.
Show your method
(2 marks)
Question 22 (1 mark)
Here are two similar right-angled triangles.
Diagram: A square grid, 14 squares across and 6 up, with two right-angled triangles. The small one has a base of 2 squares and a height of 1; its long side is labelled a. The large one has a base of 8 squares and a height of 4; its long side is labelled b.
Write the ratio of side a to side b.
a : b = boxedphantomXX : phantomXX
(1 mark)
Question 23 (2 marks)
In this circle, 1/4 and 1/6 are shaded.
Diagram: A circle divided by lines from its centre into 5 sectors of 60°, 90°, 90°, 60°, 60° going round. Two sectors next to each other at the top are shaded: one of 90° and one of 60°.
What fraction of the whole circle is not shaded?
Show your method
(2 marks)
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.