Edexcel GCSE Foundation November 2017 Paper 3 (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)
Write 3758 correct to the nearest 1000
(1 mark)
Question 2 (1 mark)
Simplify y + 3y – 2y
(1 mark)
Question 3 (2 marks)
Write down all the factors of 18
(2 marks)
Question 4 (5 marks)
The table gives information about the prices of cinema tickets.
Cinema ticket Price adult ticket £7.80 child ticket £5.80 family ticket (for 4 people) £24.30 (a)
Mr Edwards and his 3 children go to the cinema.
It is cheaper for Mr Edwards to buy 1 family ticket rather than 4 separate tickets.
How much cheaper?
(3 marks)
(b)
The film starts at 6.45 pm.
The film lasts 102 minutes.What time does the film finish?
(2 marks)
Question 5 (3 marks)
Thais has a large bottle of shampoo.
There are 2 litres of shampoo in the large bottle.Thais also has some empty small bottles.
Each small bottle can be completely filled with 150 ml of shampoo.How many small bottles can be completely filled with shampoo from the large bottle?
(3 marks)
Question 6 (3 marks)
The incomplete pictogram shows information about the number of cycles sold in a shop
on Tuesday, on Wednesday and on Thursday.Diagram: Pictogram. Each symbol is a wheel with eight spokes; a part wheel is a sector of it. Tuesday: 1 wheels. Wednesday: 2.5 wheels. Thursday: 1.5 wheels. Friday: blank. Saturday: blank. Key: blank.
A total of 20 cycles were sold on Tuesday, Wednesday and Thursday.
8 cycles were sold on Friday.
15 cycles were sold on Saturday.Use this information to complete the pictogram.
(3 marks)
Question 7 (4 marks)
Diagram: Triangle ABC with B at the bottom left, C at the bottom right and A at the top. The base BC is extended to the right to D, so BCD is a straight line. Angle ABC is marked 54° and angle ACD (outside the triangle) is marked 117°.
BCD is a straight line.
ABC is a triangle.Show that triangle ABC is an isosceles triangle.
Give a reason for each stage of your working.(4 marks)
Question 8 (2 marks)
Diagram: A picture of a bus on the ground next to a tall building with rows of windows. The bus is 12 m long, shown by an arrow under it. The building is about 2.5 times as tall as the bus is long.
The picture shows a bus next to a building.
The bus has a length of 12 m.The bus and the building are drawn to the same scale.
Work out an estimate for the height, in metres, of the building.
(2 marks)
Question 9 (2 marks)
Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30Find two prime numbers that Nidah could have written down.
(2 marks)
Question 10 (2 marks)
Jim thinks of a number.
2/3 of Jim’s number is 48
Work out 5/6 of Jim’s number.
(2 marks)
Question 11 (3 marks)
Jack’s driving school has two offers.
Offer 1 Offer 2 First driving lesson free All driving lessons All other driving lessons normal price 5% off the normal price The normal price of a driving lesson is £24
Douglas is going to have 12 driving lessons.
Which is the cheaper offer for 12 driving lessons, Offer 1 or Offer 2?
You must show how you get your answer.(3 marks)
Question 12 (2 marks)
2.5 kg of apples cost £3.60
Work out the cost of 3.5 kg of apples.
(2 marks)
Question 13 (5 marks)
(a)
Complete the table of values for y = 1/2x – 1
x –2 –1 0 1 2 3 y –2 0 (2 marks)
(b)
On the grid, draw the graph of y = 1/2x – 1 for values of x from –2 to 3
Diagram: A coordinate grid, x from –2 to 3 and y from –2 to 2, with small squares of 0.1
(2 marks)
(c)
Use your graph to find the value of x when y = 0.3
(1 mark)
Question 14 (2 marks)
Diagram: A coordinate grid, x and y from –4 to 4. Shape A has corners at (–2, 3), (2, 3), (2, 2), (–2, 1). Shape B has corners at (–2, –3), (2, –3), (2, –2), (–2, –1).
Describe fully the single transformation that maps shape A onto shape B.
(2 marks)
Question 15 (3 marks)
The ratio of the cost of one metre of cotton fabric to the cost of one metre of silk fabric is 2 : 5
Complete the table of costs.
2 m 6 m 8 m 9 m cotton fabric £6 silk fabric (3 marks)
Question 16 (5 marks)
Chloe has a van.
She is going to use the van to deliver boxes.
Each box is a cuboid, 40 cm by 30 cm by 35 cm.Diagram: A cuboid 40 cm by 30 cm by 35 cm.
The space for boxes in the van has
maximum length 2.4 m
maximum width 1.5 m
maximum height 1.4 mThe space for boxes is empty.
Chloe wants to put as many boxes as possible into the van.She can put 3 boxes into the van in one minute.
Assume that the space for boxes is in the shape of a cuboid.(a)
Work out how many minutes it should take Chloe to put as many boxes as possible
into the van.(4 marks)
(b)
The space for boxes might not be in the shape of a cuboid.
Explain how this could affect the time it would take Chloe to put as many boxes as
possible into the van.(1 mark)
Question 17 (3 marks)
(a)
Factorise 4m + 12
(1 mark)
(b)
expression equation formula identity inequality term factor multiple Choose two words from the box above to make this statement correct.
5y is a ………. in the ………. 3x + 5y
(2 marks)
Question 18 (4 marks)
Here is a sequence of patterns made with counters.
pattern number 1
Diagram: Pattern number 1: a row of 3 counters with 1 counter above it.
pattern number 2
Diagram: Pattern number 2: a row of 5 counters with 2 counters above it.
pattern number 3
Diagram: Pattern number 3: a row of 7 counters with 3 counters above it.
(a)
Find an expression, in terms of n, for the number of counters in pattern number n.
(2 marks)
(b)
Bayo has 90 counters.
Can Bayo make a pattern in this sequence using all 90 of his counters?
You must show how you get your answer.(2 marks)
Question 19 (3 marks)
The table shows information about the heights of 80 children.
Height (h cm) Frequency 130 < h ≤ 140 4 140 < h ≤ 150 11 150 < h ≤ 160 24 160 < h ≤ 170 22 170 < h ≤ 180 19 (a)
Find the class interval that contains the median.
(1 mark)
(b)
Draw a frequency polygon for the information in the table.
Diagram: A blank grid. Height (h cm) from 130 to 180 across, frequency from 0 to 30 up.
(2 marks)
Question 20 (3 marks)
In London, 1 litre of petrol costs 108.9p
In New York, 1 US gallon of petrol costs ＄2.831 US gallon = 3.785 litres
£1 = ＄1.46In which city is petrol better value for money, London or New York?
You must show your working.(3 marks)
Question 21 (3 marks)
A gold bar has a mass of 12.5 kg.
The density of gold is 19.3 g/cm³
Work out the volume of the gold bar.
Give your answer correct to 3 significant figures.(3 marks)
Question 22 (3 marks)
There are only blue pens, green pens and red pens in a box.
The ratio of the number of blue pens to the number of green pens is 2 : 5
The ratio of the number of green pens to the number of red pens is 4 : 1There are less than 100 pens in the box.
What is the greatest possible number of red pens in the box?
(3 marks)
Question 23 (3 marks)
(a)
Find the value of the reciprocal of 1.6
Give your answer as a decimal.(1 mark)
(b)
Jess rounds a number, x, to one decimal place.
The result is 9.8Write down the error interval for x.
(2 marks)
Question 24 (5 marks)
Here is a rectangle.
Diagram: A rectangle, longer than it is wide.
The length of the rectangle is 7 cm longer than the width of the rectangle.
4 of these rectangles are used to make this 8-sided shape.
Diagram: An 8-sided shape made from four of the rectangles: one lying flat at the bottom left, one standing up to its right, one standing up above the first, and one lying flat at the top right.
The perimeter of the 8-sided shape is 70 cm.
Work out the area of the 8-sided shape.
(5 marks)
Question 25 (2 marks)
Work out (13.8 × 10⁷) × (5.4 × 10⁻¹²)
Give your answer as an ordinary number.(2 marks)
Question 26 (3 marks)
When a drawing pin is dropped it can land point down or point up.
Lucy, Mel and Tom each dropped the drawing pin a number of times.
The table shows the number of times the drawing pin landed point down and the number
of times the drawing pin landed point up for each person.Lucy Mel Tom point down 31 53 16 point up 14 27 9 (a)
Rachael is going to drop the drawing pin once.
Whose results will give the best estimate for the probability that the drawing pin will
land point up?
Give a reason for your answer.(1 mark)
(b)
Stuart is going to drop the drawing pin twice.
Use all the results in the table to work out an estimate for the probability that the
drawing pin will land point up the first time and point down the second time.(2 marks)
Question 27 (3 marks)
Solve the simultaneous equations
x + 3y = 12
5x – y = 4(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.