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KEY STAGE Mathematics tests 2 LEVEL 2014 6 Paper 1
Calculator not allowed
First name
Middle name
Last name
Date of birth
School name
DfE number Day Month Year [BLANK PAGE]
Please do not write on this page. Page 2 of 16 Instructions
You may not use a calculator to answer any questions in this test.
Work as quickly and as carefully as you can.
You have 30 minutes for this test.
If you cannot do one of the questions, go on to the next one.
You can come back to it later, if you have time.
If you finish before the end, go back and check your work. Follow the instructions for each question carefully.
This shows where you need to put the answer.
If you need to do working out, you can use any space on a page. Some questions have an answer box like this: Show
your
working For these questions you may get a mark for showing your working. Page 3 of 16 M01922_fitting pairs – 27 September 2013 10:55 AM – Version 2 Write the missing numbers so that 2a + 5b = 30 1 One is done for you. M01922_fitting pairs A 2a + 5b = 30 when a=0 and 6
b = _______ 2a + 5b = 30 when a=5 and b = _______ 2a + 5b = 30 when a = 15 and A2/A1/N4d, A2/A1/N4d L5 Page 4 of 16 b = _______ 1 mark 1 mark M02005_d-find – 12 December 2013 3:41 PM – Version 3 2 Here are an equilateral triangle and a regular pentagon. Not
actual
size
10cm d cm Each side of the triangle is 10 cm
Each side of the pentagon is d cm
The perimeter of the pentagon is 4 centimetres more than
the perimeter of the triangle.
What number does d represent? Show
your
working d= cm
2 marks M02005_d-find S S4e N4d A4 L5 Page 5 of 16 M01967_mean and range – 27 September 2013 10:58 AM – Version 3 3 (a) Here are five number cards. 1 4 1 1 1 4 1 1 Write the missing number so that the mean is 2 1 mark (b) Here are the five number cards again. 1 4 1 1 It is not possible to write the missing number so that
the range is 2 1 4 1 1 Explain why not. 1 mark M01967_mean and range D D1, D2d Page 6 of 16 L5 M01932_brother's journey – 13 October 2013 2:41 PM – Version 2 4 Alfie and his brother walked from home to their school.
Their school is 2 kilometres from home.
The graph shows information about Alfie’s journey. 2
1.5
Distance
(km) 1
0.5
0
07:50 (a) 08:00 08:10 08:20
Time 08:30 08:40 08:50 How does the graph show that Alfie walked at
a constant speed for all of his journey?
_______________________________________________________ (b) 1 mark Alfie’s brother left home 10 minutes before Alfie.
He arrived at school 20 minutes after Alfie.
He walked at a constant speed for all of his journey.
At what time did Alfie overtake his brother? 1 mark M01932_brother’s journey A A6/N4e, A6/N4e/D2c L5/6 Page 7 of 16 M02018_counter service – 13 October 2013 2:48 PM – Version 2 5 Megan has a bag containing
white counters and black counters.
There are 20 counters in the bag altogether.
The probability of choosing a
white counter from the bag is 0.75 (a) How many white counters are in the bag? 1 mark (b) Megan adds more black counters to the bag.
How many black counters must she add so that the probability of
choosing a white counter is 0.25? Show
your
working 2 marks M02018_counter service D D3 D2f Page 8 of 16 L5/6 M01077_prime rounding – 18 November 2013 11:38 AM – Version 2 6 Emma thinks of two prime numbers.
She adds the two numbers together.
Her answer is 36
Write all the possible pairs of prime numbers Emma could be
thinking of. ___________________________________________________________ M01077_prime rounding Num N2b3 N1b 2 marks L5 Page 9 of 16 M02006_spiker.indd – 22 January 2014 5:43 PM – Version 2 The diagram shows three identical isosceles triangles. 7 Not to
scale r
t 40˚ What are the sizes of angles r and t ? Show
your
working r= ° t= °
2 marks M02006_spiker S S2a Page 10 of 16 L6 M01916_thinking boxes – 27 September 2013 11:06 AM – Version 2 8 (a) Write numbers in the boxes to make this fraction calculation correct. 7 1
+ =
10 5 1 mark (b) Now write two different numbers to make the calculation correct. 7 1
+ =
5 10
1 mark M01916_thinking boxes N N5/N2e, N5/N2e/NUA L6 Page 11 of 16 M01948_square-based pyramids – 27 September 2013 11:07 AM – Version 2 9 Jack has two square-based pyramids that are the same size.
He sticks the square faces together to make a new 3-D shape.
How many faces and how many edges does
his new 3-D shape have? faces edges and 1 mark M01911_decimal find – 13 October 2013 2:44 PM – Version 2 10 Write the missing number. 12.5 ÷ = 7.5 ÷ 1.5
1 mark M01948_square-based pyramids S S2b Page 12 of 16 L5 M01958_shaded triangle – 15 November 2013 11:32 AM – Version 2 11 The diagram shows a shaded triangle inside a rectangle. 10cm Not actual
size 6cm 4cm What is the area of the shaded triangle? Show
your
working cm2
2 marks M01958_shaded triangle S S5/S4e L6 Page 13 of 16 M01424 – 15 November 2013 11:37 AM – Version 3 12 Alfie did a survey to find which soup was most popular.
The choices were:
• tomato • chicken • mushroom A quarter of the children chose chicken soup.
Four times as many children chose tomato soup as chose
mushroom soup.
Alfie makes a pie chart to show this information.
What angle should he use for the children who chose tomato soup? Show
your
working °
3 marks M01424_chicken pie Page 14 of 16 L6 D M02010_square off – 27 September 2013 11:14 AM – Version 2 13 Here is a square on coordinate axes. y
(–12, 20)
Not to
scale 0 x C
(13, –5) P Q C is the centre of the square.
Find the coordinates of P and Q. P is ( , )
1 mark Q is ( , )
1 mark M02010_square off S S3 S3c L6 Page 15 of 16 2014 key stage 2 level 6 mathematics: paper 1 – calculator not allowed
Print version product code: STA/14/7052/p ISBN: 978-1-78315-206-3
Electronic PDF version product code: STA/14/7052/e ISBN: 978-1-78315-222-3
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