Ma 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 For more copies Additional printed copies of this booklet are not available. It can be downloaded from www.gov.uk/government/publications. © Crown copyright and Crown information 2014 Re-use of Crown copyright and Crown information in test materials Subject to the exceptions listed below, the test materials on this website are Crown copyright or Crown information and you may re-use them (not including logos) free of charge in any format or medium in accordance with the terms of the Open Government Licence v2.0 which can be found on the National Archive website and accessed via the following link: www.nationalarchives.gov.uk/doc/open-government-licence/version/2. Exceptions - third party copyright content in test materials You must obtain permission from the relevant copyright owners, as listed in the ‘2014 key stage 2 test materials copyright report’, for re-use of any third party copyright content which we have identified in the test materials, as listed below. Alternatively you should remove the unlicensed third party copyright content and/or replace it with appropriately licensed material. Third party content These materials contain no third party copyright content. If you have any queries regarding these test materials contact the national curriculum assessments helpline on 0300 303 3013 or email
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