Edexcel GCSE Foundation November 2017 Paper 1 (non-calculator)
30 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 (2 marks)
(a)
Change 365 cm into metres.
(1 mark)
(b)
Change 2.7 kg into grams.
(1 mark)
Question 2 (1 mark)
Work out 2 + 7 × 10
(1 mark)
Question 3 (1 mark)
Solve y/4 = 10.5
(1 mark)
Question 4 (1 mark)
Here are four numbers.
–9 –2 2 9
Write one of these numbers in each box to make a correct calculation.
boxedphantomXX + boxedphantomXX = -7
(1 mark)
Question 5 (1 mark)
Here are the first four terms of a number sequence.
2 5 11 23
The rule to continue this sequence is
multiply the previous term by 2 and then add 1
Work out the 5th term of this sequence.
(1 mark)
Question 6 (3 marks)
Here are five straight rods.
Diagram: Five straight rods in a row, with lengths marked a – 1, a, a, a, a + 4.
All measurements are in centimetres.
The total length of the five rods is L cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.(3 marks)
Question 7 (4 marks)
Diagram: A coordinate grid with x and y from –3 to 10. A cross labelled A is at (6, –2).
(a)
Write down the coordinates of the point A.
(1 mark)
(b)(i)
Plot the point with coordinates (2, 9).
Label this point B.(1 mark)
(ii)
Does point B lie on the straight line with equation y = 4x + 1?
You must show how you get your answer.(1 mark)
(c)
On the grid, draw the line with equation x = -2
(1 mark)
Question 8 (2 marks)
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm².Draw the rectangle on the centimetre grid.
Diagram: A blank centimetre grid, 10 squares across and 8 squares up.
(2 marks)
Question 9 (1 mark)
Jacqui wants to work out 3480 ÷ 5
She knows that 3480 ÷ 10 = 348
Jacqui writes 3480 ÷ 5 = 174
because 10 ÷ 5 = 2
and 348 ÷ 2 = 174What mistake did Jacqui make in her method?
(1 mark)
Question 10 (2 marks)
Jake and Sarah each played a computer game six times.
Their scores for each game are shown below.Jake 10 9 8 11 12 8
Sarah 2 10 7 14 4 10(a)
Who had the most consistent scores, Jake or Sarah?
You must give a reason for your answer.Jake played a different game 20 times.
The stem and leaf diagram shows information about his scores.Diagram: Stem and leaf diagram. Stem 0, leaves 9; Stem 1, leaves 2 3 3 4 5; Stem 2, leaves 5 6 6 6 6 7; Stem 3, leaves 1 3 4 6 8; Stem 4, leaves 0 2 9. Key: 1 | 2 represents 12 points.
Jake said his modal score was 6 points because 6 occurs most often in the diagram.
(1 mark)
(b)
Is Jake correct?
You must explain your answer.(1 mark)
Question 11 (3 marks)
There are 30 children in a nursery school.
At least 1 adult is needed for every 8 children in the nursery.(a)
Work out the least number of adults needed in the nursery.
(2 marks)
(b)
2 more children join the nursery.
Does this mean that more adults are needed in the nursery?
You must give a reason for your answer.(1 mark)
Question 12 (4 marks)
Emma has 45 rabbits.
30 of the rabbits are male.
8 of the female rabbits have short hair.
12 of the rabbits with long hair are male.(a)
Use the information to complete the two-way table.
Male Female Total Long hair Short hair Total (3 marks)
(b)
One of Emma’s rabbits is chosen at random.
Write down the probability that this rabbit is a female with short hair.
(1 mark)
Question 13 (4 marks)
The total surface area of a cube is 294 cm².
Work out the volume of the cube.
(4 marks)
Question 14 (3 marks)
Here are two fractions.
7/5 5/7
Work out which of the fractions is closer to 1
You must show all your working.(3 marks)
Question 15 (2 marks)
There are only red buttons, yellow buttons and orange buttons in a jar.
The number of red buttons, the number of yellow buttons and the number of orange
buttons are in the ratio 7 : 4 : 9Work out what percentage of the buttons in the jar are orange.
(2 marks)
Question 16 (5 marks)
Berenika wants to buy 35 T-shirts.
Each T-shirt costs £5.80Berenika does the calculation 40 × 6 = 240 to estimate the cost of 35 T-shirts.
(a)
Explain how Berenika’s calculation shows the actual cost will be less than £240
(1 mark)
(b)
There is a special offer.
T-shirts £5.80 each.
Buy 30 or more T-shirts.
Get 10% off the total cost.Work out the actual cost of buying 35 T-shirts using the special offer.
(4 marks)
Question 17 (2 marks)
There are 3 cards in Box A and 3 cards in Box B.
There is a number on each card.Diagram: Box A holds cards numbered 3, 4, 5. Box B holds cards numbered 9, 2, 3.
Ryan takes at random a card from Box A and a card from Box B.
He adds together the numbers on the two cards to get a total score.Work out the probability that the total score is an odd number.
(2 marks)
Question 18 (2 marks)
Harry, Regan and Kelan share £450 in the ratio 2 : 5 : 3
How much money does Kelan get?(2 marks)
Question 19 (3 marks)
Here is a list of ingredients for making 16 flapjacks.
Ingredients for 16 flapjacks
120 g butter
140 g brown sugar
250 g oats
2 tablespoons syrupJenny wants to make 24 flapjacks.
Work out how much of each of the ingredients she needs.(3 marks)
Question 20 (3 marks)
Ami and Josh use a calculator to work out 595/(4.08² + 5.3)
Ami’s answer is 27.1115
Josh’s answer is 271.115One of these answers is correct.
Use approximations to find out which answer is correct.
(3 marks)
Question 21 (3 marks)
Work out (0.06 × 0.0003)/0.01
Give your answer in standard form.
(3 marks)
Question 22 (3 marks)
(a)
Work out 2/5 + 1/4
(2 marks)
(b)
Write down the value of 2⁻³
(1 mark)
Question 23 (2 marks)
Write 36 as a product of its prime factors.
(2 marks)
Question 24 (4 marks)
Kiaria is 7 years older than Jay.
Martha is twice as old as Kiaria.
The sum of their three ages is 77Find the ratio of Jay’s age to Kiaria’s age to Martha’s age.
(4 marks)
Question 25 (4 marks)
Diagram: Parallelogram ABCD with AD parallel to BC (double arrows) and AB parallel to DC (single arrows). The straight line from B goes through F on AD to E, which is on CD extended beyond D. Angle EFD is marked 35° and angle DCB is marked 75°.
ABCD is a parallelogram.
EDC is a straight line.
F is the point on AD so that BFE is a straight line.Angle EFD = 35°
Angle DCB = 75°Show that angle ABF = 70°
Give a reason for each stage of your working.(4 marks)
Question 26 (4 marks)
The diagram shows a logo made from three circles.
Diagram: A logo made from three circles, all with centre O. Along a radius the distances are marked 4 cm, 3 cm, 3 cm from O outwards. The ring between the smallest circle and the middle circle is shaded.
Each circle has centre O.
Daisy says that exactly 1/3 of the logo is shaded.
Is Daisy correct?
You must show all your working.(4 marks)
Question 27 (4 marks)
The table shows information about the weekly earnings of 20 people who work in a shop.
Weekly earnings (£x) Frequency 150 < x ≤ 250 1 250 < x ≤ 350 11 350 < x ≤ 450 5 450 < x ≤ 550 0 550 < x ≤ 650 3 (a)
Work out an estimate for the mean of the weekly earnings.
(3 marks)
(b)
Nadiya says,
“The mean may not be the best average to use to represent this information.”
Do you agree with Nadiya?
You must justify your answer.(1 mark)
Question 28 (4 marks)
Here is a rectangle.
Diagram: A rectangle. Its left side is labelled 2x + 6, its right side 5x – 9 and its top y.
All measurements are in centimetres.
The area of the rectangle is 48 cm².Show that y = 3
(4 marks)
Question 29 (1 mark)
Brogan needs to draw the graph of y = x² + 1
Here is her graph.
Diagram: A graph labelled y = x² + 1. Crosses are plotted at (–3, 10), (–2, 5), (–1, 2), (0, 1), (1, 2), (2, 5), (3, 10), and each cross is joined to the next with a straight line, so the graph is made of straight line segments with sharp corners.
Write down one thing that is wrong with Brogan’s graph.
(1 mark)
Question 30 (2 marks)
In a sale, the normal price of a book is reduced by 30%.
The sale price of the book is £2.80Work out the normal price of the book.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.