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KS2 SATs 2019 Paper 3: 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 (1 mark)
The original price of this car is £8,999
Sale
£1,100 offWhat is the sale price of the car, in pounds (£)?
(1 mark)
Question 2 (2 marks)
3,576,219
(a)
Which digit is in the ten thousands place?
(1 mark)
(b)
Round 3,576,219 to the nearest million.
(1 mark)
Question 3 (1 mark)
Dev says,
“I had £10
I gave some money away.”Which expression shows how much money Dev has left?
a is the amount of money, in pounds, that Dev gave away.
Tick one.
10 + a 10 ÷ a a – 10 10 – a a × 10 (1 mark)
Question 4 (1 mark)
Write these masses in order, starting with the lightest.
1.25 kg 0.99 kg 1.025 kg 0.009 kg
(1 mark)
Question 5 (1 mark)
Write the missing digits to make this addition correct.
boxedphantomn boxed2 boxedphantomn + boxedphantomn boxed2 = 200
(1 mark)
Question 6 (2 marks)
John buys one toy car and one pack of stickers.
toy car pack of stickers £1.49 £1.64 He pays with a £10 note.
How much change does John get, in pounds (£)?
Show your method
(2 marks)
Question 7 (2 marks)
This picture shows the masses of eight kittens.
305 g 375 g 310 g 255 g
275 g 410 g 360 g 345 g(a)
What is the difference in mass between the heaviest kitten and
the lightest kitten, in grams?(1 mark)
(b)
The masses of the kittens are to be put in four groups.
Write the missing numbers in the table.
One has been done for you.
Mass in g Number of kittens 250–299 300–349 350–399 400–449 1 (1 mark)
Question 8 (2 marks)
Ken is playing a game. He has 4,289 points.
Then he scores another 355 points.
Ken’s target is 6,000 points.
How many more points does Ken need to reach his target?
Show your method
(2 marks)
Question 9 (1 mark)
This pictogram shows the number of satellites above the Earth in 2016.
Diagram: A pictogram with one row, for the year 2016. It shows 2 whole circles and a quarter of a circle. Key: one circle stands for 1,000 satellites.
How many satellites were above the Earth in 2016?
(1 mark)
Question 10 (2 marks)
On the grid there are three points joined by two lines.
Diagram: A coordinate grid with x and y from –6 to 6. Three points, (-2, 3), (-1, -2), (1, 2), are joined in that order by two straight lines.
(a)
Lara plots another point on the grid at (-1, 2).
She joins the points to make a quadrilateral.
Complete Lara’s quadrilateral on the grid.
Use a ruler.(1 mark)
(b)
Then Lara translates the quadrilateral 4 squares to the right.
Draw the quadrilateral in its new position on the grid.
(1 mark)
Question 11 (2 marks)
Here are five numbers.
2 3 4 5 6
Write each number on the correct cards.
The number 2 has been written on the correct cards for you.
Prime numbers Factors of 12 Factors of 15 2 2 (2 marks)
Question 12 (1 mark)
Amina’s bed is 190 cm in length and 91 cm in width.
She is making a one-tenth scale model of the bed.
What are the length and width of Amina’s model, in centimetres?
(1 mark)
Question 13 (1 mark)
Kirsty says,
“When you double the size of an acute angle,
you always get an obtuse angle.”Explain why Kirsty is not correct.
(1 mark)
Question 14 (1 mark)
How many days are there in September, October and November
altogether?(1 mark)
Question 15 (1 mark)
The International Space Station orbits the Earth at a height of 250 miles.
What is the height of the International Space Station in kilometres?
Use 8 kilometres equals 5 miles.
(1 mark)
Question 16 (2 marks)
potatoes carrots £1.50 per kg £1.80 per kg Jack buys 11/2 kg of potatoes and 1/2 kg of carrots.
How much change does he get from £5, in pounds (£)?
Show your method
(2 marks)
Question 17 (1 mark)
x + 2y = 20
x and y are whole numbers less than 10
What could x and y be?
(1 mark)
Question 18 (2 marks)
Tick the fractions less than 5/8
1/2 2/8 3/4 7/16 24/32 (2 marks)
Question 19 (3 marks)
Layla makes jewellery to sell at a school fair.
Each bracelet has 53 beads.
She makes 68 bracelets.Each necklace has 105 beads.
She makes 34 necklaces.How many beads does Layla use altogether?
Show your method
(3 marks)
Question 20 (2 marks)
Adam is making booklets.
Each booklet must have 34 sheets of paper.
He has 2 packets of paper.
There are 500 sheets of paper in each packet.
How many complete booklets can Adam make from 2 packets
of paper?Show your method
(2 marks)
Question 21 (2 marks)
ABDE is a rectangle on coordinate axes.
The sides of the rectangle are parallel to the axes.
Diagram: An x-axis and a y-axis from 0, with a shaded rectangle ABDE whose sides are parallel to the axes. A is the top left corner, labelled (25, 30); B is the top right, D the bottom right and E the bottom left. C, the centre of the rectangle, is marked with a dot and labelled (40, 22). Not to scale.
Point C is the centre of the rectangle.
What are the coordinates of B and D?
(a)
B is
(1 mark)
(b)
D is
(1 mark)
Question 22 (1 mark)
Six identical right-angled triangles are arranged to make a rectangle.
Diagram: A rectangle 7 cm tall made of six identical right-angled triangles. An upright line splits it into a square on the left and a narrower rectangle on the right. In the square, lines from its top left corner, the middle of its left side and its bottom left corner meet at the middle of its right side, making four triangles. The narrow rectangle is cut by a diagonal from its top left corner to its bottom right corner, making two triangles. The length of the whole rectangle is marked ? cm. Not actual size.
Calculate the length of the rectangle, in centimetres.
(1 mark)
Question 23 (1 mark)
Diagram: A straight line from point P on the left to point R on the right, with point Q on it, nearer to R than to P. A double arrow under the whole line is labelled 800 m. Not to scale.
The distance from point P to point R is 800 metres.
The distance from point P to point Q is 4 times the distance from
point Q to point R.Olivia says,
“It is 600 metres from
point P to point Q.”Explain why Olivia is not correct.
(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.