Edexcel GCSE Foundation June 2017 Paper 1 (non-calculator)

27 questions · 80 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)
Work out the value of 2⁴
(1 mark)
Question 2 (1 mark)
Write 7.264 51 correct to 3 decimal places.
(1 mark)
Question 3 (2 marks)
(a)
Simplify 7 × e × f × 8
(1 mark)
(b)
Solve x/5 = 21/2
(1 mark)
Question 4 (1 mark)
Write 4/5 as a percentage.
(1 mark)
Question 5 (2 marks)
Work out 60% of 70
(2 marks)
Question 6 (2 marks)
Sammy spins a fair 4-sided spinner.
Diagram: A 4-sided spinner: a quadrilateral cut into four equal triangles by its diagonals, with a pointer from the centre. The sections are labelled A, B, B, C.
(i)
On the probability scale, mark with a cross (×) the probability that the spinner will
land on B.
Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(ii)
On the probability scale, mark with a cross (×) the probability that the spinner will
land on F.
Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
Question 7 (3 marks)
Fahima buys
2 packets of bread rolls costing £1.50 for each packet
1 bottle of ketchup costing £1.60
3 packets of sausages
Fahima pays with a £10 note.
She gets 30p change.
Fahima works out that one packet of sausages costs £2.30
Is Fahima right?
You must show how you get your answer.
(3 marks)
Question 8 (3 marks)
(a)
Work out 5/8 × 3/4
(1 mark)
(b)
Work out 2/3 – 1/4
(2 marks)
Question 9 (4 marks)
Sean works for a company.
His normal rate of pay is £12 per hour.
When Sean works more than 8 hours a day, he is paid overtime for each hour he works
more than 8 hours.
Sean’s rate of overtime pay per hour is 11/4 times his normal rate of pay per hour.
On Monday Sean worked for 10 hours.
Work out the total amount of money Sean earned on Monday.
(4 marks)
Question 10 (2 marks)
A farmer has 20 boxes of eggs.
There are 6 eggs in each box.
Write, as a ratio, the number of eggs in two boxes to the total number of eggs.
Give your answer in its simplest form.
(2 marks)
Question 11 (6 marks)
A sequence of patterns is made from circular tiles ● and square tiles □
Here are the first three patterns in the sequence.
pattern number 1
Diagram: A pattern of 1 square tiles in a block 1 across and 1 down, with 4 circular tiles round the outside: one against each outside edge of the block.
pattern number 2
Diagram: A pattern of 4 square tiles in a block 2 across and 2 down, with 8 circular tiles round the outside: one against each outside edge of the block.
pattern number 3
Diagram: A pattern of 9 square tiles in a block 3 across and 3 down, with 12 circular tiles round the outside: one against each outside edge of the block.
(a)
How many square tiles are needed to make pattern number 6?
(2 marks)
(b)
How many circular tiles are needed to make pattern number 20?
(2 marks)
(c)
Derek says,
“When the pattern number is odd, an odd number of square tiles is needed to make
the pattern.”
Is Derek right?
You must give reasons for your answer.
(2 marks)
Question 12 (2 marks)
There are only 7 blue pens, 4 green pens and 6 red pens in a box.
One pen is taken at random from the box.
Write down the probability that this pen is blue.
(2 marks)
Question 13 (3 marks)
The diagram shows a tree and a man.
Diagram: A drawing of a large tree and a man standing on the same flat ground, some distance to the right of the tree. The tree is much taller than the man.
The man is of average height.
The tree and the man are drawn to the same scale.
(a)
Write down an estimate for the real height, in metres, of the man.
(1 mark)
(b)
Find an estimate for the real height, in metres, of the tree.
(2 marks)
Question 14 (4 marks)
Year 9 students from Halle School were asked to choose one language to study.
The table shows information about their choices.
Language Number of students
French 56
Spanish 40
German 24
(a)
Draw an accurate pie chart to show this information.
Diagram: A circle with one radius drawn from the centre straight up.
(3 marks)
(b)
Year 9 students from Lowry School were also asked to choose one language to study.
This accurate pie chart shows information about their choices.
Diagram: A pie chart with 3 sectors: German 45°, Spanish 77.5°, French 237.5°. No numbers are shown on it.
Shameena says,
“The pie chart shows that French was chosen by more Year 9 students at
Lowry School than at Halle School.”
Is Shameena right? You must explain your answer.
(1 mark)
Question 15 (4 marks)
Here are a triangle and a rectangle.
Diagram: A right-angled triangle with the right angle at the bottom left; its vertical side is 9 cm and its bottom side is 8 cm. Beside it, a rectangle 16 cm long; its other side is labelled width.
The area of the rectangle is 6 times the area of the triangle.
Work out the width of the rectangle.
(4 marks)
Question 16 (2 marks)
v = u + at
u = 1 a = –3 t = 1/2
Work out the value of v.
(2 marks)
Question 17 (4 marks)
5 tins of soup have a total weight of 1750 grams.
4 tins of soup and 3 packets of soup have a total weight of 1490 grams.
Work out the total weight of 3 tins of soup and 2 packets of soup.
(4 marks)
Question 18 (5 marks)
Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Diagram: A circle with its centre marked. A radius is drawn from the centre to the left, labelled 10 m.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m² of garden.
Balena wants to cover all the garden with grass seed.
(a)
Work out an estimate for the number of boxes of grass seed Balena needs.
You must show your working.
(4 marks)
(b)
Is your estimate for part (a) an underestimate or an overestimate?
Give a reason for your answer.
(1 mark)
Question 19 (4 marks)
(a)
Solve 4(x – 5) = 18
(2 marks)
(b)
–3 < t ≤ 2
t is an integer.
Write down all the possible values of t.
(2 marks)
Question 20 (2 marks)
Azmol is paid £1500 per month.
He is going to get a 3% increase in the amount of money he is paid.
Work out how much money Azmol will be paid per month after the increase.
(2 marks)
Question 21 (5 marks)
The scatter graph shows the maximum temperature and the number of hours of sunshine
in fourteen British towns on one day.
Diagram: A scatter graph of maximum temperature (°C) against the number of hours of sunshine for fourteen towns. Most crosses go up from bottom left to top right; one cross, at (10, 19), is well above the others.
One of the points is an outlier.
(a)
Write down the coordinates of this point.
(1 mark)
(b)
For all the other points write down the type of correlation.
(1 mark)
(c)
On the same day, in another British town, the maximum temperature was 16.4°C.
Estimate the number of hours of sunshine in this town on this day.
(2 marks)
(d)
A weatherman says,
“Temperatures are higher on days when there is more sunshine.”
Does the scatter graph support what the weatherman says?
Give a reason for your answer.
(1 mark)
Question 22 (2 marks)
Express 56 as the product of its prime factors.
(2 marks)
Question 23 (3 marks)
Work out 54.6 × 4.3
(3 marks)
Question 24 (3 marks)
Diagram: A square ABCD. Above the top side, double-headed arrows mark 3 cm from A, then x cm to B. Beside the left side, arrows mark 3 cm down from A, then x cm to D. Dashed lines across the square mark these lengths.
The area of square ABCD is 10 cm².
Show that x² + 6x = 1
(3 marks)
Question 25 (5 marks)
This rectangular frame is made from 5 straight pieces of metal.
Diagram: A rectangle 12 m long and 5 m high, with right angles marked at the top left and bottom right, and a diagonal from the bottom left corner to the top right corner.
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
(5 marks)
Question 26 (2 marks)
The equation of the line mathbfL_1 is y = 3x – 2
The equation of the line mathbfL_2 is 3y – 9x + 5 = 0
Show that these two lines are parallel.
(2 marks)
Question 27 (3 marks)
Diagram: Parallelogram ABCD with A at the top left, B at the top right, C at the bottom right and D at the bottom left. The diagonals AC and BD cross at O. An arrow from O towards A is labelled a, and an arrow from O towards B is labelled b.
ABCD is a parallelogram.
The diagonals of the parallelogram intersect at O.
overrightarrowOA = mathbfa and overrightarrowOB = mathbfb
(a)
Find, in terms of mathbfb, the vector overrightarrowDB.
(1 mark)
(b)
Find, in terms of mathbfa and mathbfb, the vector overrightarrowAB.
(1 mark)
(c)
Find, in terms of mathbfa and mathbfb, the vector overrightarrowAD.
(1 mark)

Language	Number of students
French	56
Spanish	40
German	24

Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.

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Edexcel GCSE Foundation June 2017 Paper 1 (non-calculator)

Question 1 (1 mark)

Question 2 (1 mark)

Question 3 (2 marks)

Question 4 (1 mark)

Question 5 (2 marks)

Question 6 (2 marks)

Question 7 (3 marks)

Question 8 (3 marks)

Question 9 (4 marks)

Question 10 (2 marks)

Question 11 (6 marks)

Question 12 (2 marks)

Question 13 (3 marks)

Question 14 (4 marks)

Question 15 (4 marks)

Question 16 (2 marks)

Question 17 (4 marks)

Question 18 (5 marks)

Question 19 (4 marks)

Question 20 (2 marks)

Question 21 (5 marks)

Question 22 (2 marks)

Question 23 (3 marks)

Question 24 (3 marks)

Question 25 (5 marks)

Question 26 (2 marks)

Question 27 (3 marks)