GEMS WESTMINSTER SCHOOL
Excellence Through Teamwork; Success For All
International General Certificate of Secondary Education
MOCK EXAM 2 2023-2024
CANDIDATE
NAME
CENTRE
NUMBER
YEAR &
SECTION
CANDIDATE
NUMBER
SUBJECT:
SYLLABUS CODE:
MATHEMATICS
0580
Paper:
P4 (Extended)
Duration:
2hrs 30 mts
YEAR- 11
Additional Materials:
READ THESE INSTRUCTIONS FIRST
Candidates answer on the Question Paper.
Write your Centre number, candidate number, and name on all the work you hand in.
Write in dark blue or black pen.
You may use a pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue, or correction fluid.
DO NOT WRITE IN ANY BARCODES.
It would be best if you used a calculator where appropriate. You must show all the necessary work clearly.
Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees,
unless a different level of accuracy is specified in the question. For π, use either your calculator value or 3.142.
INFORMATION
● The total mark for this paper is 130.
● The number of marks for each question or part of the question is shown in brackets [ ].
For the Examiner’s use
Parent’s signature
This document consists of 18 printed pages.
100
© SHARJAH
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5.
f(x) = 3x + 2
g(x) = x2 + 1
h(x) = 4x
(a) Find h(4)
……………………………..[1]
(b) Find fg(1)
……………………………..[2]
(c) Find gf(x) in the form ax2 + bx + c.
………………………………[3]
(d) Find x when f(x) = g(7)
x = …………………………[2]
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(e) Find f-1(x)
f-1(x) = …………………..[2]
(f)
Give your answer as a single fraction, in terms of x, in its simplest form.
……………………………[3]
(g) Find x when h-1(x) = 2
x = ………………………..[1]
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6.
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7.
The diagram shows a field ABCD. The bearing of B from A is 140°.
C is due east of B and D is due north of C.
AB = 400m, BC = 350 m and CD = 450m.
(a) Find the bearing of D from B.
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…………………………………………… [2]
(b) Calculate the distance from D to A
…………………………………………m [6]
(c) John runs around the field from A to B, B to C, C to D, and D to A.
He runs at a speed of 3m/s.
Calculate the total time Jono takes to run around the field.
Give your answer in minutes and seconds, and correct it to the nearest second.
………………………min…………s [4]
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8.
(a)
A, B, C, and D lie on the circle, with center O. DAE is a straight line.
Find the value of u and the value of v.
u = ……………….. [2]
v = ……………….. [2]
(b)
The diagram shows a circle, center O, radius 8cm. GH is a chord of length 10cm.
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Calculate the length of the perpendicular from O to GH.
[4]
(c )
K, L, M, and N lie in the circle. KM and LN intersect at X.
KL = 9.7 cm, KX = 4.8 cm,
LX = 7.8 cm and NX = 2.5cm. Calculate MN.
[2]
(d)
All lengths are in centimeters. P, Q, R, and S lie on the circle.
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PR and QS intersect at Y. PY = 2x and YS = x.
The area of triangle YRS =
The area of triangle YQP = x(x + 1). Find the value of x.
[4]
9.
The height, h cm, of each of the 120 plants is measured.
The cumulative frequency diagram shows this information.
(a) Use the cumulative frequency diagram to find an estimate of
(i) the median,
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…………………………………cm [1]
(ii) the interquartile range
………………………………….cm [2]
(iii) the 60th percentile,
………………………. cm [1]
(iv) the number of plants with a height greater than 40cm.
………………………… [2]
(b) The information in the cumulative frequency diagram is shown in this
frequency table.
(i) Calculate an estimate of the mean height.
……………………………… cm [4]
(ii) A histogram is drawn to show the information in the frequency table.
The height of the bar represents the interval
Calculate the height of the bar representing the interval
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…………………………… cm[2]
[11]
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m = ……………..
n = ……………..[5]
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