4024 Mathematics (Syllabus D): May/June 2024 Paper 11
4024/11
Cambridge O Level Mathematics (Syllabus D), May/June 2024.
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Cambridge O Level 4024 Mathematics (Syllabus D) past paper 11, May/June 2024. Open it online or download the question paper PDF free.
Sit this paper like the real exam
2 h · 80 marks
Questions
Rebuilt from the 4024/11 May/June 2024 paper so it reads well on any screen. Diagrams and tables are shown from the original.
- 1Loading diagram…
From page 2 of the paper. From this word write down the letters which have
(a)a line of symmetry
[1]
(b)rotational symmetry.
[1]
- 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.
g[2]
- 3
Work out.
(a)0.3# 0. 02
[1]
(b)15% of 40
[1]
(c)7 - (-25)
[1]
- 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.
Loading diagram…From page 3 of the paper. [2]
(b)Measure angle BAC.
Angle BAC = [1]
- 5
The table shows information about a class of 28 students and the distances they live from their school.
Loading diagram…From page 3 of the paper. Distance of 1 km or less 11
Loading diagram…From 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.
[1]
- 6
(a)Simplify 6r + 7s - r + 3s.
[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.
cents[1]
- 7Loading diagram…
From 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.
x = [3]
- 8
Ahmed invests $4000 at a rate of 1.5% per year simple interest.
Calculate the value of the investment after 2 years.
$ [2]
- 9
(a)
Loading diagram…From 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.
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.
hours[1]
- 10
(a)
Loading diagram…From 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.
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.
litres[1]
- 11
Tom’s pet eats 35 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.
[2]
- 12
Solve. 4 (2x - 3) + 5(x + 5) = 20
x = [3]
- 13Loading diagram…
From 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.
[2]
- 14
Solve the simultaneous equations. Show all your working.
Loading diagram…From page 8 of the paper. x =
y = [3]
- 15
By writing each number correct to one significant figure, estimate the value of
Loading diagram…From page 8 of the paper. [2]
- 16Loading diagram…
From 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.
Angle DAB = because [2]
(b)(i)Find angle DOC.
Angle DOC = [1]
(ii)Find angle BCO.
Angle BCO = [2]
- 17
The table shows the time that each of 60 children spends in a play area.
Loading diagram…From page 10 of the paper. (a)Draw a cumulative frequency diagram to show this information.
Loading diagram…From page 10 of the paper. [3]
(b)Use your diagram to estimate
(i)the median
minutes[1]
(ii)the interquartile range
minutes[2]
(iii)the number of children who spend more than 80 minutes in the play area.
[2]
- 18
In this table, p is directly proportional to q2.
Loading diagram…From page 11 of the paper. Calculate the value of a and the value of b.
a =
b = [3]
- 19
f (x) = 2x - 5
(a)Find f (11).
[1]
(b)Find f-1(x).
f-1(x) = [2]
(c)Solve f(x) = x2 + x - 11.
x = or x = [3]
- 20
The matrix N satisfies the equation
Loading diagram…From page 12 of the paper. 3N = N + 5 ( ).
Find N.
Loading diagram…From page 12 of the paper. [2]
- 21Loading diagram…
From 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 cm3. The length of prism A is 50 cm.
The area of the cross-section of prism B is 16 cm2.
Calculate the length of prism B.
cm[4]
Loading diagram…From page 14 of the paper. - 22
a =
Rearrange the formula to make x the subject.
x = [3]
- 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.
( , )[1]
(b)The length AB is t .
Find the value of t.
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.
y = [4]
Loading diagram…From page 15 of the paper. - 24Loading diagram…
From 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
HK = [1]
(b)CD
CD = [1]
(c)ML.
ML = [2]