# 4024 Mathematics (Syllabus D) May/June 2024 Paper 11

Cambridge O Level 4024 Mathematics (Syllabus D) past paper 11, May/June 2024. Open it online or download the question paper PDF free.

- Page: https://mathvsarham.com/past-papers/4024/2024-may-june-paper-11/
- PDF: https://mathvsarham.com/papers/4024/4024_s24_qp_11.pdf
- Board: CAIE
- Qualification: Cambridge O Level
- Subject: 4024 Mathematics (Syllabus D) (https://mathvsarham.com/past-papers/4024/)
- Session: May/June 2024
- Paper: 1
- Variant: 1
- Component code: 4024/11
- File code: 4024_s24_qp_11
- Time allowed: 120 minutes
- Total marks: 80
- Pages: 16

## Question paper text

Extracted automatically from the PDF; diagrams are missing and notation may be imperfect.

Question 1
[Diagram or table: see page 2 of the paper]
From this word write down the letters which have
(a) a line of symmetry
Answer: ____ [1]
(b) rotational symmetry.
Answer: ____ [1]

Question 2
At the start of the day the mass of a bird is 4.628 kg. Later in the day the mass of this bird is 4.693 kg.
Calculate the increase in the mass of the bird. Give your answer in grams.
Answer: ____ g [2]

Question 3
Work out.
(a) 0.3_# 0. 02
Answer: ____ [1]
(b) 15% of 40
Answer: ____ [1]
(c) 7 - (-25)
Answer: ____ [1]

Question 4
(a) ABC is a triangle with AC = 5 cm and BC = 10 cm.
Using a ruler and compasses only, construct triangle ABC. AB has been drawn for you.
[Diagram or table: see page 3 of the paper]
Answer: ____ [2]
(b) Measure angle BAC.
Answer: Angle BAC = ____ [1]

Question 5
The table shows information about a class of 28 students and the distances they live from their school.
[Diagram or table: see page 3 of the paper]
Distance of 1 km or less 11
[Diagram or table: see page 3 of the paper]
(a) Complete the table. [1]
(b) A student is chosen at random from the class.
Write down the probability that the student lives more than 1 km from the school.
Answer: ____ [1]

Question 6
(a) Simplify 6r + 7s - r + 3s.
Answer: ____ [2]
(b) Bananas cost x cents each. Apples cost y cents each.
Write an expression for the total cost of 7 bananas and 5 apples.
Answer: ____ cents [1]

Question 7
[Diagram or table: see page 4 of the paper]
A square and a regular pentagon are joined along one edge as shown in the diagram.
Calculate the value of x.
Answer: x = ____ [3]

Question 8
Ahmed invests $4000 at a rate of 1.5% per year simple interest.
Calculate the value of the investment after 2 years.
Answer: $ ____ [2]

Question 9
(a) 
[Diagram or table: see page 5 of the paper]
The diagram shows the distance–time graph of a cyclist for the first two stages of a race, AB and BC.
Work out the average speed of the cyclist for the second stage, BC.
Answer: ____ km/h [2]
(b) A bus travels at an average speed of 20 km/h.
Work out the time the bus takes to travel 50 km.
Answer: ____ hours [1]

Question 10
(a) 
[Diagram or table: see page 6 of the paper]
The diagram shows the fuel gauge of a car. This car has 40 litres of fuel in the tank.
Calculate the amount of fuel that the tank contains when it is full.
Answer: ____ litres [2]
(b) The car uses 5.4 litres of fuel for every 100 km travelled.
Calculate the amount of fuel that the car will use on a journey of 300 km.
Answer: ____ litres [1]

Question 11
Tom’s pet eats 3/5 of a tin of food each day. Tom needs food for his pet for 12 days.
Calculate the number of tins of food Tom needs to buy.
Answer: ____ [2]

Question 12
Solve. 4 (2x - 3) + 5(x + 5) = 20
Answer: x = ____ [3]

Question 13
[Diagram or table: see page 7 of the paper]
The pie chart shows the proportion of junior members and senior members at a gym. There are 120 more senior members than junior members.
Calculate the total number of junior and senior members at the gym.
Answer: ____ [2]

Question 14
Solve the simultaneous equations. Show all your working.
[Diagram or table: see page 8 of the paper]
Answer: x = ____
Answer: y = ____ [3]

Question 15
By writing each number correct to one significant figure, estimate the value of
[Diagram or table: see page 8 of the paper]
Answer: ____ [2]

Question 16
[Diagram or table: see page 9 of the paper]
A, B, C and D are points on the circumference of a circle centre O. Angle BCD = 58° and angle DBC = 72°.
(a) Complete the statement below.
Answer: Angle DAB = ____ because ____ [2]
(b)(i) Find angle DOC.
Answer: Angle DOC = ____ [1]
(ii) Find angle BCO.
Answer: Angle BCO = ____ [2]

Question 17
The table shows the time that each of 60 children spends in a play area.
[Diagram or table: see page 10 of the paper]
(a) Draw a cumulative frequency diagram to show this information.
[Diagram or table: see page 10 of the paper]
Answer: ____ [3]
(b) Use your diagram to estimate
(i) the median
Answer: ____ minutes [1]
(ii) the interquartile range
Answer: ____ minutes [2]
(iii) the number of children who spend more than 80 minutes in the play area.
Answer: ____ [2]

Question 18
In this table, p is directly proportional to q^2.
[Diagram or table: see page 11 of the paper]
Calculate the value of a and the value of b.
Answer: a = ____
Answer: b = ____ [3]

Question 19
f (x) = 2x - 5
(a) Find f (11).
Answer: ____ [1]
(b) Find f^-^1(x).
Answer: f^-^1(x) = ____ [2]
(c) Solve f(x) = x^2 + x - 11.
Answer: x = ____ or x = ____ [3]

Question 20
The matrix N satisfies the equation
[Diagram or table: see page 12 of the paper]
3N = N + 5 ( ).
Find N.
[Diagram or table: see page 12 of the paper]
[2]

Question 21
[Diagram or table: see page 13 of the paper]
Prism A and prism B are mathematically similar. In the diagram, the cross-sections of the prisms are shaded.
The volume of prism A is 5000 cm^3. The length of prism A is 50 cm.
The area of the cross-section of prism B is 16 cm^2.
Calculate the length of prism B.
Answer: ____ cm [4]
[Diagram or table: see page 14 of the paper]

Question 22
a =
Rearrange the formula to make x the subject.
Answer: x = ____ [3]

Question 23
AB is a line segment joining A (-2, 5) and B (1,3 ).
(a) B is the midpoint of the line segment AC.
Find the coordinates of C.
Answer: ( ____ , ____ ) [1]
(b) The length AB is t .
Find the value of t.
Answer: t = ____ [2]
(c) Find the equation of the line perpendicular to AB that passes through A. Give your answer in the form y = mx + c.
Answer: y = ____ [4]
[Diagram or table: see page 15 of the paper]

Question 24
[Diagram or table: see page 16 of the paper]
ABCD is a quadrilateral. H, K, L and M are the midpoints of AB, BC, CD and AD respectively. AB = 2a, BC = 2b and AD = 2d.
Express, as simply as possible, in terms of a and b or a, b and d
(a) HK
Answer: HK = ____ [1]
(b) CD
Answer: CD = ____ [1]
(c) ML.
Answer: ML = ____ [2]