DEPARTMENT OF MATHEMATICS
GRADE 10 CONTINUOUS ASSESSMENT 1 TERM 2
Cambridge IGCSETM
STUDENT
NAME
CLASS:
MATHEMATICS
CAT 2
0580/2
(Core/Extended)
November, 2023
Time
1 hour 20 minutes
You must answer on the question paper.
You will need: geometrical instruments and a non-programmable calculator.
INSTRUCTIONS

Answer all questions

Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.

Write your name and class in the boxes provided.

Write your answers in the spaces provided on each question.

Do not use an erasable pen or fluid.

You may use a calculator where possible.

You must show all necessary working clearly

Give non-exact numerical answers correct to 3 figures, or 1 decimal places for angles in
degrees, unless a degree of accuracy is specified in the question.
INFORMATION

The total marks for this paper is assessment is 40

The number of marks for each question or part question is shown in brackets [ ].
This document has 8 pages. Any blank pages are indicated.
©RPS/2025/G10B/G10G CAT 1/T2
1
1
Shade the correct region in each Venn diagram.
K
L
Q
P
M
(K ∪ L) ∩ M '
Q ∪ P'
[2]
[Total: 2]
2
A baker asks some customers if they like lemon cake (L) and if they like chocolate cake (C).
The Venn diagram shows the results.
L
C
Kab
Bel
Yesa
Jai
Haji
Rea
Var
Nera
Esh
Ada
Chir
Taj
(a) Work out the fraction of the customers who like lemon cake or chocolate cake but not both.
...................................................
[1]
(b) Use set notation to complete the statement.
{Jai, Nera} = ..............................
[1]
(c) What does the Venn diagram show about Taj?
..........................................................................................................................................................
[1]
[Total: 3]
2
3
M
E
.............
..........
.............
.............
50 students are asked if they like English (E) and if they like mathematics (M).
3 say they do not like English and do not like mathematics.
33 say they like English.
42 say they like mathematics.
(a) Complete the Venn diagram.
[2]
(b) A student is chosen at random.
Find the probability that this student likes English and likes mathematics.
...................................................
[1]
...................................................
[2]
...................................................
[2]
(c) Two students are chosen at random.
Find the probability that they both like mathematics.
(d) Two students who like English are chosen at random.
Find the probability that they both also like mathematics.
[Total: 7]
3
4
P
Q
3
5
10
9
The Venn diagram shows the number of elements in each set.
(a) Find n(P '∩Q).
Answer(a) ...................................................
(b) Complete the statement n( .........................................) = 17.
[1]
[1]
[Total: 2]
5
C = {x : x is an integer and 5 < x < 12} D = {5, 10}
Put a ring around the correct statement from the list below.
A
B
C
D
[1]
[Total: 1]
6
Neha has a piece of ribbon of length 23 cm, correct to the nearest cm.
From this ribbon she cuts off a piece with length 87 mm, correct to the nearest mm.
Work out the lower bound and the upper bound for the length of the remaining ribbon.
Give your answer in centimetres.
Lower bound = ................................................... cm
Upper bound = ................................................... cm
[3]
[Total: 3]
4
7
Find the exact value of
.
...................................................
[2]
[Total: 2]
8
Here is part of a train timetable for a journey from London to Marseille.
All times given are in local time.
The local time in Marseille is 1 hour ahead of the local time in London.
London
07 19
Ashford
07 55
Lyon
13 00
Avignon
14 08
Marseille
14 16
(a) Work out the total journey time from London to Marseille.
Give your answer in hours and minutes.
.............................. h .............................. min [2]
(b) The distance from London to Ashford is 90 km.
The local time in London is the same as the local time in Ashford.
Work out the average speed, in km/h, of the train between London and Ashford.
................................................... km/h
[3]
5
[Total: 5]
9
Figs cost 43 cents each.
Lyra has $5 to buy some figs.
Calculate the largest number of figs Lyra can buy and the amount of change, in cents, she receives.
.............................. figs and .............................. cents change [3]
[Total: 3]
10
Marianne sells photos.
The selling price of each photo is $6.
(a) The selling price for each photo is made up of two parts, printing cost and profit.
For each photo, the ratio printing cost : profit = 5 : 3.
Calculate the profit she makes on each photo.
$ ...................................................
[2]
................................................... %
[1]
(b) Calculate her profit as a percentage of the selling price.
(c) Calculate the selling price of a photo in euros (€) when the exchange rate is €1 = $1.091 .
€ ...................................................
[2]
[Total: 5]
6
11
Abdul draws this speed–time graph for a journey.
The graph has four sections A, B, C and D.
Complete these statements about the speed–time graph.
Section .............................. cannot be correct.
Section .............................. shows constant speed.
Section .............................. shows deceleration.
Section A shows acceleration of ......................................... m/s2.
The distance travelled in the first 30 seconds of the journey is ......................................... m.
[4]
[Total: 4]
7
12
The diagram shows the speed−time graph of the first 15 seconds of a car journey.
(a) Find the acceleration of the car during the first 5 seconds.
............................................. m/s2 [1]
(b) Find the distance travelled during the 15 seconds.
.................................................. m [2]
[Total: 3]