Centre Candidate

Surname
Number Number
First name(s) 0

GCSE
A24-C300U10-1
C300U10-1

WEDNESDAY, 6 NOVEMBER 2024 – MORNING

MATHEMATICS – Component 1
Non-Calculator Mathematics
FOUNDATION TIER
2 hours 15 minutes For Examiner’s use only
Maximum Mark
ADDITIONAL MATERIALS Question
Mark Awarded
An additional formulae sheet. 1. 5
The use of a calculator is not permitted in this examination. 2. 3

C 3 0 0 U101
A ruler, protractor and a pair of compasses may be required. 3. 3

01
4. 2
INSTRUCTIONS TO CANDIDATES 5. 4
Use black ink or black ball-point pen. 6. 4
Do not use gel pen or correction fluid. 7. 5
You may use a pencil for graphs and diagrams only. 8. 4
Write your name, centre number and candidate number in 9. 7
the spaces at the top of this page. 10. 6
Answer all questions. 11. 6
Write your answers in the spaces provided in this booklet. 12. 5
If you run out of space, use the additional page(s) at the
back of the booklet, taking care to number the question(s) 13. 2
correctly. 14. 6
15. 3
INFORMATION FOR CANDIDATES 16. 5
You should give details of your method of solution when 17. 5
appropriate. 18. 4
Unless stated, diagrams are not drawn to scale. 19. 6
Scale drawing solutions will not be acceptable where you 20. 7
are asked to calculate.
21. 3
The number of marks is given in brackets at the end of each
question or part-question. 22. 6
You are reminded of the need for good English and orderly, 23. 6
clear presentation in your answers. 24. 7
25. 6
Total 120

NOV24C300U10101 © WJEC CBAC Ltd. CJ/JS*(A24-C300U10-1)

 2

Formula list

Area and volume formulae

Where r is the radius of the sphere or cone, l is the slant height of a cone and h is the
perpendicular height of a cone:

Curved surface area of a cone = πrl

Surface area of a sphere = 4πr2

Volume of a sphere = 4 πr3

3
1
Volume of a cone = πr2h
3

Kinematics formulae

Where a is constant acceleration, u is initial velocity, v is final velocity, s is displacement from the
position when t = 0 and t is time taken:

v = u + at

1
s = ut + 2 at2

v2 = u2 + 2as

02 © WJEC CBAC Ltd. (C300U10-1)

 3
Examiner
only
1. (a) What number must be added to 268 to make 415? [1]

(b) Work out 16  6 . [1]

0 . 5  30
(c) Work out . [2]
6

C 3 0 0 U101
03
(d) Work out 5  3  4  2 . [1]

03 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 4
Examiner
only
2. One day Phoebe recorded the number of hours of sunshine in some cities in England.
The pictogram below shows some of her results.

London

Newcastle

Birmingham

Liverpool

Southampton

Key: represents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . hours

(a) There were 10 hours of sunshine in London.

Complete the key for the pictogram. [1]

(b) How many more hours of sunshine did Liverpool have than Newcastle? [1]

(c) There were 7 hours of sunshine in Southampton.

Complete the pictogram. [1]

04 © WJEC CBAC Ltd. (C300U10-1)

 5
Examiner
only
3. Complete the table below so that each row shows a decimal and its equivalent simplified
fraction.
The first row has been completed for you. [3]

Decimal Fraction

1
0.5
2

7
10

0.25

0.03

11
50

C 3 0 0 U101
05

05 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 6
Examiner
only
4.

The recommended time taken to cook a turkey is given by the following formula.

Time = 20 minutes per kilogram + 90 minutes

Calculate the time taken to cook an 8 kg turkey. [2]

Time taken = … … . . . . . . . . . . . . . . . . . . . . . . … … … … … minutes

8
5. (a) Write 32 as a fraction in its simplest form. [1]

7
(b) Write 25 as a percentage. [1]

2
(c) Find 9 of 45. [2]

06 © WJEC CBAC Ltd. (C300U10-1)

 7
Examiner
only
6. (a)

C
D

(i) Draw a line parallel to AB, through the point C. [1]

(ii) Draw a line perpendicular to AB, through the point D. [1]

(b) The plan and front elevation of a 3D shape are shown below.

C 3 0 0 U101
07
Plan Front

Circle the correct name for the 3D shape. [1]

cuboid square-based cone triangle-based triangular

pyramid pyramid prism

(c) Nicola thinks that an angle of 190° is an obtuse angle.

Explain why Nicola is incorrect. [1]

07 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 8
Examiner
only
7. Here is part of a train timetable.

Ashby 08:19

Brilfax 08:25

Chemery 08:42

Drago 09:08

Elderville 09:17

(a) How many minutes should the train journey from Brilfax to Drago take? [2]

(b) Carley lives in Ashby.

She works Monday to Friday in an office in Elderville.
Every morning she catches the 08:19 train from Ashby.

Last week the train left Ashby on time each morning.

The train was late arriving at Elderville on Monday but arrived on time on the other four
days.
For the week, the total train journey time to work was 5 hours and 6 minutes.

How many minutes late was the train when it arrived at Elderville on Monday? [3]

The train was … . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … minutes late on Monday

08 © WJEC CBAC Ltd. (C300U10-1)

 9
Examiner
only
8. Lewis buys the following items:

• 3 bottles of milk costing £1.50 each

• 1 loaf of bread costing £1.40
• 2 blocks of butter.

Lewis pays with a £10 note and is given 60p change.

How much does each block of butter cost?
You must show all your working. [4]

C 3 0 0 U101
09
Each block of butter costs … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … …

09 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 10
Examiner
only
9. Adrian works in a factory.
His normal rate of pay is £14 per hour.

Adrian usually works 22 hours per week and overtime if needed.

Any overtime hours are paid at a rate of 1 21 times his normal rate of pay.

(a) One week Adrian worked for 28 hours.

Calculate Adrian’s pay for this week. [4]

(b) The following week, Adrian’s normal rate of pay increased.

He worked for 22 hours and was paid £330.

Show that Adrian’s rate of pay increased by less than 10%. [3]

10 © WJEC CBAC Ltd. (C300U10-1)

 11
Examiner
only
10. (a) Solve 6 x  3 27 . [2]

(b) Simplify 2w  2w  3w . [2]

(c) (i) One day Nick spent k minutes on his mobile phone.
Ellie spent 10 minutes less than Nick on her mobile phone.

Write an expression, in terms of k, for the number of minutes that Ellie spent on
her mobile phone. [1]

C 3 0 0 U101
(ii) A dress costs t pounds.

11
Write an expression, in terms of t, for the cost of the dress in pence. [1]

11 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 12
Examiner
only
11. Oliver went for a ride on his bike.
Some of his journey is represented on the distance-time graph below.

Distance
travelled (miles)
70

60

50

40

30

20

10

0
13:00 14:00 15:00 16:00 17:00 18:00 19:00 20:00 21:00
Time

(a) What was Oliver’s average speed between 13:00 and 15:00? [2]

Oliver’s average speed = … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … mph

12 © WJEC CBAC Ltd. (C300U10-1)

 13
Examiner
only
(b) Give an explanation for the shape of the graph between 17:00 and 18:00. [1]

(c) Between which two times was Oliver cycling at the greatest speed? [1]

….......................................……… and … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … …

(d) Oliver started the final part of his cycle ride at 18:00.
He cycled 20 miles at an average speed of 8 mph.
Draw this part of the cycle ride on the distance-time graph. [2]

C 3 0 0 U101
13

13 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 14
Examiner
only
12. (a) Teddy has to work out 400 .
His answer is 200.

Is Teddy’s answer correct?

Yes No

Explain why. [1]

(b) Calculate 53  52 . [2]

(c) Write down the number that is both a factor of 16 and a prime number. [1]

(d) Given that 78  132 

10 296, write down the answer to 10 296  780 . [1]

14 © WJEC CBAC Ltd. (C300U10-1)

 15
Examiner
only
13.

Ledina goes to Brown Abbey School.

It is a secondary school with 1500 pupils.

Ledina wants to carry out a survey to find out pupils’ views of the school uniform.
She plans to ask 10 pupils in Year 7.

Give two criticisms of Ledina’s plan. [2]

1. ...............................................................................................................................................................................................................

C 3 0 0 U101
15
2. ...............................................................................................................................................................................................................

15 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 16
Examiner
only
14. Harry is a football player.

(a) Each training session, he spends:

• 18% of the time practising shooting
3
• 20 of the time practising tackling
• the rest of the time practising passing.

What percentage of each training session does Harry spend practising passing? [3]

(b) Harry borrows £80 to pay for a new pair of football boots.
Simple interest is charged at 5% per month on the money he borrowed.

Harry does not make any repayments.

After how many months will he owe £120? [3]

16 © WJEC CBAC Ltd. (C300U10-1)

 17
Examiner
only
15. The points Y and Z are shown on the scale drawing below.

Point X is 200 m from point Y on a bearing of 150°.

Plot point X on the scale drawing below.
Give the bearing of point X from point Z. [3]

Scale:
1 cm represents 25 m

Bearing of X from Z = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . °

17 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 18
Examiner
only
16.

(a) There are between 30 and 40 marbles in a bag.

Amy and Beatrice share the marbles in the ratio 1 : 8.
There are no marbles left in the bag.

How many marbles does Amy have? [2]

Amy has … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … marbles

(b) Chloe and Davina have a different bag of marbles.

They share their marbles in the ratio 3 : 5.
Davina gets 30 more marbles than Chloe.

How many marbles do they each get? [3]

Chloe gets … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … marbles

Davina gets … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … marbles

18 © WJEC CBAC Ltd. (C300U10-1)

 19
Examiner
only
17. Kristoff is a baker.
He is baking bread.
The flour that he needs is sold in bags of two different sizes:
• Large bags contain 2·5 kg.
• Small bags contain 1·5 kg.

2.5 kg costs £1.10. 1.5 kg costs £0.80.

Diagram not drawn to scale

30 of the large bags contain exactly the quantity of flour that Kristoff needs.
The local supplier only has the small bags in stock.

Kristoff buys exactly the quantity of flour he needs in small bags.

How much more will he pay than if he bought the same quantity in large bags?
You must show all your working. [5]

Kristoff will pay … . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . … … … more.

19 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 20
Examiner
only
18. In the diagram below, ABC is an isosceles triangle and DA is a straight line.

40°
50°

A C
x°
Diagram not drawn to scale

Show that x = 255.

You must give a reason for each step of your answer. [4]

20 © WJEC CBAC Ltd. (C300U10-1)

 21
Examiner
only
19. A bag contains some coloured counters.
Some are red, some are yellow, some are orange and the rest are green.

One counter is selected at random from the bag.

The probability of selecting:

• a yellow counter is twice the probability of selecting an orange counter
• a green counter is three times the probability of selecting a yellow counter.

(a) Write down the ratio of the number of yellow counters to the number of orange counters
to the number of green counters. [2]

yellow counters : orange counters : green counters = . . . . . . . . . . . . . . . . . . . . . . . . . . : . . . . . . . . . . . . . . . . . . . . . . . . . . : . . . . . . . . . . . . . . . . . . . . . . . . . .

(b) The probability of selecting a red counter is 0·46.

What is the probability of selecting a green counter?

You must show all your working. [4]

Probability of selecting a green counter = . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

21 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 22
Examiner
only
20. (a) Expand and simplify 3  5a  2   7  a  4  . [2]

(b) Show that the triangle below is not isosceles.

You must use an algebraic method and not trial and improvement. [5]

(5x + 7)°

(6x — 9)° (8x — 27)°

Diagram not drawn to scale

22 © WJEC CBAC Ltd. (C300U10-1)

 23
Examiner
only


21. p 
4 2
3 , q 1

Find the values of m and n such that m  p  q  

5
n .  [3]

m = .............................................................. n = ..............................................................

23 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 24
Examiner
only
22. Jim works in the office for a pizza delivery company.
Last night he recorded the times for the first 50 deliveries.
These times are recorded in the table below.

Delivery time (t mins) Number of deliveries

0 ! t X 10 10

10 ! t X 20 12

20 ! t X 30 16

30 ! t X 40 12

(a) Calculate an estimate of the mean time for these 50 deliveries. [4]

(b) Calculate an estimate of the percentage of these deliveries that took 25 minutes or
more. [2]

24 © WJEC CBAC Ltd. (C300U10-1)

 25
Examiner
only
23. (a) Simplify the following ratio, [2]

15 cm2 : 300 mm2

(b) Sura is making a cake. The main ingredients are flour, sugar and dried fruit.
She uses these ingredients with their masses in the ratio 5 : 3 : 7.

(i) What fraction of the main ingredients is the mass of the dried fruit? [1]

(ii) The combined mass of the flour and sugar is 560 g.

What is the mass of the dried fruit? [3]

25 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 26
Examiner
only
24. Hannah and Imran often play badminton and tennis matches against each other.
9
The probability that Hannah wins a badminton match is .
10
9
The probability that Hannah wins both a badminton match and a tennis match is 50 .

One Saturday, Hannah and Imran play one badminton match and one tennis match.
The outcomes of the matches are independent.

(a) Complete the tree diagram below. [4]

Badminton Tennis

Hannah
wins

Hannah
wins
Imran
wins

Hannah
wins
Imran
wins

Imran
wins

(b) Calculate the probability that Hannah wins exactly one match. [3]

26 © WJEC CBAC Ltd. (C300U10-1)

 27

BLANK PAGE

PLEASE DO NOT WRITE

ON THIS PAGE

27 © WJEC CBAC Ltd. (C300U10-1) Turn over.

 28
Examiner
only
25. (a) Four triangles are shown in the diagram below.

75° 45° 75°

75° 60°
10 cm

45° 60°
60°
10 cm 10 cm

Triangle A Triangle B Triangle C Triangle D

Diagram not drawn to scale

For each of the following statements choose ‘True’, ‘False’ or ‘Need more information’.
Tick one box for each statement. [2]

Need more
Statement True False
information

Triangle A is congruent
to Triangle B

Triangle C is congruent
to Triangle D

Triangle A is congruent
to Triangle C

28 © WJEC CBAC Ltd. (C300U10-1)

 29
Examiner
only
(b) Is it possible to draw an isosceles triangle with an exterior angle of 60º?
Tick the appropriate box and show working to explain your reason. [2]

Yes No

Reason: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

(c) Two triangles are shown in the diagram below.

8 cm 6 cm
10 cm 7.5 cm

9 cm
12 cm

Diagram not drawn to scale

Show that the two triangles are mathematically similar. [2]

END OF PAPER

29 © WJEC CBAC Ltd. (C300U10-1)

 30

Question Additional page, if required. Examiner

number Write the question number(s) in the left-hand margin. only

30 © WJEC CBAC Ltd. (C300U10-1)

 31

Question Additional page, if required. Examiner

number Write the question number(s) in the left-hand margin. only

31 © WJEC CBAC Ltd. (C300U10-1)

 32

BLANK PAGE

PLEASE DO NOT WRITE

ON THIS PAGE

32 © WJEC CBAC Ltd. (C300U10-1)