Edexcel GCSE Foundation November 2019 Paper 1 (non-calculator)
29 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 down the value of the 7 in the number 1074
(1 mark)
Question 2 (1 mark)
Write 4.58 correct to 1 decimal place.
(1 mark)
Question 3 (1 mark)
Work out 31.7 × 100
(1 mark)
Question 4 (1 mark)
Write the fraction 28/70 in its simplest form.
(1 mark)
Question 5 (1 mark)
Write 15% as a decimal.
(1 mark)
Question 6 (4 marks)
The pictogram shows information about the number of pictures sold in an art shop in
each of January, February and March.Diagram: Pictogram. Key: one square represents 8 pictures. January: 3 squares. February: 3.5 squares. March: 2.5 squares. April: blank.
(a)
Write down the number of pictures sold in January.
(1 mark)
(b)
12 pictures were sold in April.
Show this information on the pictogram.
(1 mark)
(c)
What was the total number of pictures sold in these four months?
(2 marks)
Question 7 (2 marks)
Work out the difference, in minutes, between 1 hour 25 minutes and 11/4 hours.
(2 marks)
Question 8 (3 marks)
Prasha has five blocks of wood.
The total weight of all five blocks of wood is 3 kilograms.
4 of the blocks of wood each have a weight of 650 grams.Work out the weight, in grams, of the other block of wood.
(3 marks)
Question 9 (2 marks)
PQR is a straight line.
Diagram: A straight line PQR across the page. Two lines go up from Q. The three angles above the line at Q are marked, from left to right, x, 100°, 35°.
Work out the size of angle x.
(2 marks)
Question 10 (2 marks)
Diagram: A coordinate grid with x and y from –4 to 4. A straight line joins B at (–3, 2) to C at (1, –2), each marked with a cross.
(a)
Plot the point with coordinates (3, 2)
Label this point A.(1 mark)
(b)
Write down the coordinates of the midpoint of BC.
(1 mark)
Question 11 (2 marks)
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.List all the possible outcomes of the 3 throws.
(2 marks)
Question 12 (5 marks)
Rehan is on holiday in the USA.
He has ＄200 to spend on clothes.
Rehan buys
1 pair of trainers costing ＄60
3 T-shirts costing ＄25 each.He also wants to buy a jacket costing ＄80
(a)
Has Rehan got enough money to buy the jacket?
You must show how you get your answer.(3 marks)
(b)
The trainers cost ＄60
The exchange rate is ＄1 = £0.749Rehan says,
“The trainers cost less than £40”Rehan is wrong.
Using a suitable approximation, show working to explain why.
(2 marks)
Question 13 (3 marks)
(a)
Simplify 2a × 5b
(1 mark)
(b)
Simplify 3x + 2y + 5x – y
(2 marks)
Question 14 (2 marks)
Work out 23 × 15
(2 marks)
Question 15 (4 marks)
120 people were at a hockey match.
Each person was asked if they wanted to stand or to sit to watch the match.
75 of the people were female
29 of the males wanted to stand
30 of the people wanted to sit(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 120 at the start, branching into male and female, then each branching into sit and stand. The other six ovals are empty.
(3 marks)
(b)
One of the 120 people is chosen at random.
Write down the probability that this person is a male who wanted to stand.
(1 mark)
Question 16 (3 marks)
Steve drove from his home to his friend’s house.
He stayed at his friend’s house and then drove home.Here is Steve’s travel graph.
Diagram: A travel graph: time of day across from 12 00 to 14 30, distance from home in km up the side from 0 to 30. Small squares are 3 minutes across and 1 km up. The line goes from (12:00, 0 km) to (12:45, 25 km) to (13:30, 25 km) to (14:00, 0 km).
(a)
For how many minutes did Steve stay at his friend’s house?
(1 mark)
(b)
What was Steve’s average speed on his journey home?
(2 marks)
Question 17 (3 marks)
x – 1 = 2
Work out the value of 2x²
(3 marks)
Question 18 (4 marks)
The pie charts show information about the favourite animal of each student at school A
and of each student at school B.School A
Diagram: A pie chart with 3 sectors, clockwise from the top: monkeys (angle marked 60°), tigers (angle marked x°), lions (angle marked x°).
School B
Diagram: A pie chart with 3 sectors, clockwise from the top: tigers (a right angle), lions (angle marked 110°), monkeys (angle marked 160°).
There are 480 students at school A. There are 760 students at school B.
Henry says,
“The same number of students at each school have tigers as their favourite animal.”Is Henry correct?
You must show how you get your answer.(4 marks)
Question 19 (2 marks)
Here is a number line.
Diagram: A number line for p from –4 to 4, with a filled-in circle at –3, an open circle at 1 and a line between them, drawn just above the number line.
Write down the inequality shown on the number line.
(2 marks)
Question 20 (3 marks)
Find the Lowest Common Multiple (LCM) of 108 and 120
(3 marks)
Question 21 (4 marks)
There are 60 people in a choir.
Half of the people in the choir are women.The number of women in the choir is 3 times the number of men in the choir.
The rest of the people in the choir are children.the number of children in the choir : the number of men in the choir = n : 1
Work out the value of n.
You must show how you get your answer.(4 marks)
Question 22 (3 marks)
Work out 13/4 × 11/3
Give your answer as a mixed number.
(3 marks)
Question 23 (2 marks)
Use a ruler and compasses to construct the line from the point P perpendicular to the line CD.
You must show all construction lines.Diagram: A horizontal line CD and a point P, marked with a cross, above the line and nearer to D.
(2 marks)
Question 24 (4 marks)
The diagram shows triangle ABC.
Diagram: Triangle ABC with B at the bottom left, C at the bottom right and A at the top. D is on AB and a line joins D to C. Angle BAC is marked 75° and angle ABC is marked 51°.
ADB is a straight line.
the size of angle DCB : the size of angle ACD = 2 : 1
Work out the size of angle BDC.
(4 marks)
Question 25 (3 marks)
4 red bricks have a mean weight of 5 kg.
5 blue bricks have a mean weight of 9 kg.
1 green brick has a weight of 6 kg.Donna says,
“The mean weight of the 10 bricks is less than 7 kg.”Is Donna correct?
You must show how you get your answer.(3 marks)
Question 26 (3 marks)
(a)
Simplify (p²)⁵
(1 mark)
(b)
Simplify 12x⁷y³ ÷ 6x³y
(2 marks)
Question 27 (5 marks)
The accurate scale drawing shows the positions of port P and a lighthouse L.
Diagram: An accurate scale drawing of port P and lighthouse L, each marked with a cross and a north line. L is to the right of P and a little lower. A centimetre scale bar, 0 to 3 cm, is drawn underneath so lengths can be measured on screen.
Scale: 1 cm represents 4 km.
Aleena sails her boat from port P on a bearing of 070°
She sails for 11/2 hours at an average speed of 12 km/h to a port Q.Find
(i) the distance, in km, of port Q from lighthouse L,
(ii) the bearing of port Q from lighthouse L.(5 marks)
Question 28 (3 marks)
The diagram shows triangle AOB.
Diagram: Triangle AOB with AB along the top and O at the bottom. Two lines go from O up to AB. The three angles at O are marked, from left to right, (2x)°, (3x)°, 10°.
Angle AOB is not an obtuse angle.
Find the greatest value of x.
You must show all your working.(3 marks)
Question 29 (4 marks)
(a)
ABC and PQR are similar right-angled triangles.
Triangle ABC
Diagram: A right-angled triangle ACB with the right angle at C. A is above C and B is to the right of C. CA is labelled 9 cm. CB is labelled 15 cm.
Triangle PQR
Diagram: A right-angled triangle PRQ with the right angle at R. P is above R and Q is to the right of R. RQ is labelled 10 cm.
angle ABC = angle PQR
Work out the length of PR.
(2 marks)
(b)
Triangle EGH is congruent to triangle KGF.
Diagram: Points H, G and K on a horizontal line, with G between them. E is above G and F is on the line GE, below E. The triangles EGH and KGF are drawn, each with a right angle at G.
HK = 10 cm.
HG = 4 cm.Work out the length of EF.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.