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 2: reasoning
20 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)
Ali puts these five numbers in their correct places on a number line.
511 499 502 555 455
(a)
Write the number closest to 500
(1 mark)
(b)
Write the number furthest from 500
(1 mark)
Question 2 (1 mark)
House Price A £135,300 B £119,125 C £130,500 D £131,500 E £91,500 Put these houses in order of price starting with the lowest price.
One has been done for you.
lowest B (1 mark)
Question 3 (2 marks)
Write the three missing digits to make this addition correct.
beginarraycccc & 1 & 5 & boxedphantomX \\ + & 4 & boxedphantomX & 4 \\ hline & boxedphantomX & 1 & 5 endarray
(2 marks)
Question 4 (2 marks)
This table shows the number of people living in various towns
in England.Town Population Bedford 82,448 Carlton 48,493 Dover 34,087 Formby 24,478 Telford 166,640 (a)
What is the total of the numbers of people living in Formby and
in Telford?(1 mark)
(b)
What is the difference between the numbers of people living
in Bedford and in Dover?(1 mark)
Question 5 (2 marks)
Write each number in its correct place on the diagram.
Diagram: The numbers 16, 17, 18, 19, and below them a rectangle with three loops inside. On the left a loop labelled prime numbers; on the right a loop labelled square numbers; the two do not meet. A wide loop labelled even numbers crosses the middle and overlaps both of them.
(2 marks)
Question 6 (1 mark)
This diagram shows a shaded shape inside a border of squares.
Draw the reflection of the shape in the mirror line.
Use a ruler.
Diagram: A border of squares, 12 squares across and 10 squares up, around a white space. A dashed vertical mirror line runs down through it, 6 squares from the left. A shaded shape on the right of the mirror line is made of 2 overlapping strips, with corners at (6, 9), (8, 9), (11, 1), (10, 1); and at (10, 9), (11, 9), (11, 7), (6, 1), (6, 2) (squares across and up from the bottom left corner of the border).
(1 mark)
Question 7 (2 marks)
Write the two missing values to make these equivalent fractions correct.
dfracboxedphantomXX3 = 8/12 = dfrac4boxedphantomXX
(a)
The missing numerator:
(1 mark)
(b)
The missing denominator:
(1 mark)
Question 8 (1 mark)
Circle two numbers that add together to equal 0.25
0.05 0.23 0.2 0.5
(1 mark)
Question 9 (2 marks)
6 pencils cost £1.68
3 pencils and 1 rubber cost £1.09
What is the cost of 1 rubber?
Show your method
(2 marks)
Question 10 (2 marks)
Each diagram below is divided into equal sections.
Shade three-quarters of each diagram.
Diagram: 3 diagrams side by side: a square cut by its two diagonals into 4 equal triangles; a staircase shape made of 6 squares, each cut by a diagonal into 2 equal triangles (12 triangles); a circle cut into 8 equal sectors.
(2 marks)
Question 11 (2 marks)
A packet contains 1.5 kg of oats.
Every day Maria uses 50 g of oats to make porridge.
How many days does the packet of oats last?
Show your method
(2 marks)
Question 12 (2 marks)
(a)
n = 22
What is 2n + 9?
(1 mark)
(b)
2q + 4 = 100
Work out the value of q.
(1 mark)
Question 13 (2 marks)
A stack of 20 identical boxes is 140 cm tall.
Diagram: A stack of 20 identical boxes, one on top of another. An arrow beside the stack, from the bottom to the top, is labelled 140 cm. Not actual size.
Stefan takes three boxes off the top.
How tall is the stack now?
Show your method
(2 marks)
Question 14 (1 mark)
Write all the common multiples of 3 and 8 that are less than 50
(1 mark)
Question 15 (2 marks)
This thermometer shows temperatures in both °C and °F.
Diagram: A thermometer marked in both °C (left) and °F (right). The marks, °C then °F: –10 and 14, 0 and 32, 10 and 50, 20 and 68, 30 and 86, 40 and 104.
Work out what 25 °C is in °F.
Show your method
(2 marks)
Question 16 (2 marks)
(a)
Write the number that is five less than ten million.
(1 mark)
(b)
Write the number that is one hundred thousand less than six million.
(1 mark)
Question 17 (2 marks)
Calculate the size of angles a and b in this diagram.
Diagram: Two straight lines cross. To the right of the crossing they open out to make angle a, and the angle opposite it, on the left of the crossing, is marked 160°. From the end of each line on the right a side goes off at a right angle; the two sides meet at a point on the right, making angle b. Not to scale.
(a)
a = boxedphantomXX °
(1 mark)
(b)
b = boxedphantomXX °
(1 mark)
Question 18 (1 mark)
Write the missing number.
70 ÷ boxedphantomXX = 3.5
(1 mark)
Question 19 (3 marks)
Miss Mills is making jam to sell at the school fair.
Strawberries cost £7.50 per kg.
Sugar costs 79p per kg.
10 glass jars cost £6.90
She uses 12 kg of strawberries and 10 kg of sugar to
make 20 jars full of jam.Calculate the total cost to make 20 jars full of jam.
Show your method
(3 marks)
Question 20 (1 mark)
Here are two triangles drawn on coordinate axes.
Diagram: A pair of coordinate axes with no scale marked, only 0 where they cross. Triangle A, above the x-axis, has corners labelled (–10, 40), (20, 30), (10, 10). Triangle B, below the x-axis, is its mirror image in the x-axis; its corners are not labelled.
Triangle B is a reflection of triangle A in the x-axis.
Two of the new vertices of triangle B are (10, -10) and (20, -30).
What are the coordinates of the third vertex of triangle B?
(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.