📄 Exam Questions & Readable Text Transcript
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Extracted Content: 2023_maths_olevel_nov_paper1
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Surname Porenamets) Centre Number Candidate Nunsber=
ZIMBABWE SCHOOL EXAMINATIONS COUNCIL
General Certificate of Education Ordinary Level
MATHEMATICS 4004/1
PAPER |
NOVEMBER 2023 SESSION 2 hours 40 munutes
Candidates answer on the question paper
Additional materials
Geometncal ustruments
Allow candidates 5 minutes to count pages before the examination.
This booklet should not be punched or stapled and pages should not be removed.
TIME 2 hours 30 minutes
INSTRUCTIONS TO CANDIDATES
Write your name. Centre number and candidate aumber in the spaces at the top of this page and your
Centre number and Candidate sumber on the top night comer of every page of this paper
Answer all questions
Check that ull the pages are in the booklet and ask the invigilator for a replacement if there are
duplicate or missing pages
Write your answers in the spaces provided on the question paper using black or blue pens
If working is needed for any question it must be shown in the space below that question.
Ontission of essential working will result in Joss of marks
Decimal answers which are pot cxuct should be given correct to three significant figures unless stated
otherwise
Mathematical tables, slide rules and calculators should not be brought into the examination
room,
INFORMATION FOR CANDIDATES
The number of marks is given in bruckets | | at the end of cach question or part question
This question paper consists of 28 printed pages.
Copyright, Zupbabwe Sclial Exzinijations Counci,.N2023
[ © DMSEC N2023 [Turn over
PEE DAA A
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A sroup of 80 students took a plysies test. This table shows the distribution of their marks.FFeves | «+ | 2 | « | = | m | 0 |
(a) Complete the cumulative frequency table,
Mk
Cumulative
frequency
(b) Drew a cumulative frequency curve for this information.
Cumulative
frequency
Mark (m)
(c) The pass mark for the test is 45
Use your cumulative frequency curve to estimate the number of students who passed.
A004/2 N2023
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IL = Write these numbers in onder. startins with the smallest3 17 4
a2 20 3
incur
TRECST
120 The dimgram shows the regions 4 to /
Give the letter of the rezion defined by cach set of moqualities
(a) x>Qy>O0v<1 md y<4-2
Answer
taswer
[2]
{1}
UH
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15 The table shows part of Ms Dube’s payslip for a particular month.Earnings $ Deductions 8
transport allowance — 100,00 pension contribution — 6,00
housing allowance = 129,00 union subscription — 10,00
medical aid 8.00
Insurance 17,50
basic salary 273, total deductions
net sulary
(a) Calculate the
(i) total deductions,
(ii) net salary.
(b) Express the pension contribution as a percentage of her basic salary.
Answer fa) (i) BO {1]
(i) So [1]
(bh) et 2]
4004/2 NE023
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170 The first fourterms »,, 1,(a) Evaluate u,
inswer |]
(b) The ath term of the sequence is n_
Write down an expression for» im terms of x
4. Band (
r
iA
(c) Given that w_ =A = Sn — C_ find the valu
c= 14
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13tee
18 (a) Evaluate (=)
Annver [1]
scones (OE
(b) Simplify (ye)
Answer [1]
; _ Irty
(ec) Simpiity =
6x7 -
Answer {!]
19 (a) Inthe diagram, twe small toungles are shaded
Shade one more small triangle, so that the diagram will then have one line of symmetry
(1
(b) Inthe diagram, bwo small squares are shaded
Shade two more smal! squares, so that the diagram will then have rotational symmetry of order 2
(I
4004/2 NzZ023 [Turn over
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2116
A machine puts beads of different colours und sizes into packets:
The beads ure selected at random ftom u large container and the selection of cach bead for a packet is
independent of all others
The table shows informution on the contents of six packets.
Packet
i
Poseenironede | 1S [fw [we |e |e |
(a) Calculate the relative frequency of the machine selecting a blue bead
Answer... = = tl]
tb) Calculate how many blue beads you would expect in a packet of 30 beads
ANSWET ..cceceercreeeeerreereren tte rrereneereee TE]
(ce) The probability that the machine selects a red bead is 0.17
Calculute the probability that the machine does not select a red beud.
Answer... = = = {!]
aoe N2029
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1722) The dingrm at the bottom of the page shows the lines 48 and 8C
(a)
(b)
te)
td)
By measuring an angle, find reflex angle ABC
SEES WN LR oo steer ceeseeceerciee cee er fl}
The pomt Dis on the opposite side of AC to B
CD= C& and AD= 10m.
On the diagram, construct quadrilateral ABCD {|
On the dingram, construct the locus of points, inside the quadrilateral ABCD, that are
(i) equidistant from 4 and 2. [1]
(fi) equidistant from BC and BA. [1]
(On the diagram, shade the region inside the quadrilateral ABCD containing the pots that are
* nearerte 4 than w &
* and nearer tw &C than to BA,
[']
sp0u2 Maaze [Tarn over
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