ADMISSION
NUMBER
DATE
MONTHLY TEST - OCTOBER 2022
GRADE 9 (EDEXCEL)
MATHEMATICS
Duration : 2 periods
INSTRUCTIONS TO CANDIDATES
Answer all questions by showing all your working.
Calculators are allowed.
Prepared for Lyceum International Schools by Lyceum Assessments
1
1. (a) Write 0. 5̇ as a fraction using algebra. Show the working.
……………………………………….
(4)
2
(b) Show that the recurring decimal 0.13̇ = .
15
Show all the working.
……………………………………….
(4)
( Total for Question 1 is 8 marks )
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
2
2. (a) Write 0.795 correct to two decimal places.
……………………………………….
(2)
(b) Write each number in the following calculation correct to one
significant figure and find an estimated value for the answer.
9.56×(1.7)2
√4.15
……………………………………….
(4)
232 +2.17
(c) Work out the value of .
16.2−√4.15
Write down all the figures on the calculator display.
……………………………………….
(2)
(d) Give your answer to part (c) correct to the nearest whole number.
……………………………………….
(2)
( Total for Question 2 is 10 marks )
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Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
3
3. (a) Showing all the working find the highest common factor ( HCF )
of 96 and 120.
……………………………………….
(4)
(b) 𝑃 = 22 × 5 × 7
𝑄 = 23 × 7
𝑅 = 2 × 3 × 52
Find the lowest common multiple ( LCM ) of 𝑃, 𝑄 and 𝑅.
……………………………………….
(3)
(Total for Question 3 is 7 marks )
4. (a) Simplify and give your answer in the simplest form.
i) 2√ 5 + 3√ 5 − √ 5
……………………………………….
(2)
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
4
ii) 2√ 27 − √ 12
……………………………………….
(3)
iv) √ 3 (1 + 2√ 6 )
……………………………………….
(4)
(b) Rationalise the denominator. Give your answer in the simplest form.
Show all the working.
6√5
i)
√2
……………………………………….
(4)
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Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
5
1
iii)
5−√2
……………………………………….
(3)
(c) Simplify.
(3 − √2 ) (2 + √2 )
……………………………………….
(4)
( Total for Question 4 is 20 marks )
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
6
5. In a box there are 126 marbles.
Each marble is either green or Yellow.
5
of the marbles are Green and the rest of the marbles are yellow.
14
4
There is a star on 40% of the green marbles. There is a Triangle on of
9
the yellow marbles.
(a) On how many green marbles having star?
……………………………………….
(4)
(b) How many yellow marbles do not have triangle?
……………………………………….
(3)
(c) What is the percentage of the Green marbles.
……………………………………….%
(3)
( Total for Question 5 is 10 marks )
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Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
7
6. Showing all your working simplify the following.
Give your answer as a fraction in the simplest form.
1 1 1
(a) +1 − .
3 2 4
……………………………………….
(4)
2 1 7
(b) ×3 ÷ .
5 2 9
……………………………………….
(4)
( Total for Question 6 is 8 marks )
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
8
7. (a) Simplify.
3
(i) √𝑝6 ÷ 𝑝2 .
……………………………………….
(3)
(ii) 5𝑥𝑦 4 × 3𝑥𝑦 3 𝑧 .
……………………………………….
(2)
(iii) (2𝑦 −2 )0 .
……………………………………….
(2)
3
(b) Simplify (4ℎ4 𝑘 −2 )2 . Show all your working.
……………………………………….
(3)
( Total for Question 7 is 10 marks )
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Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
9
1 2
8. (a) Write + as a single fraction.
𝑥 𝑥−2
……………………………………….
(4)
(b) Factorise completely.
i) 3𝑥 2 𝑦 − 12𝑦
……………………………………….
(2)
ii) 𝑝3 − 𝑝
……………………………………….
(3)
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
10
(c) Remove the brackets and simplify.
3(𝑥 − 2)(𝑥 + 3)
……………………………………….
(4)
(d) If 𝑥 2 + 5𝑥 − 2 can be written in the form (𝑥 + 𝑎)2 + 𝑏.
Find the value of 𝑎 and 𝑏.
𝑎 = ……………………………………….
𝑏 = ……………………………………….
(4)
( Total for Question 8 is 17 marks )
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Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
11
9. (a) Mohan deposits 𝑅𝑠. 35 000 for 2 years in a saving account which
pays 8% compound interest per annum.
How much money will Mohan have in his account at the end
of 2 years? Show all the working.
𝑅𝑠. ……………………………………….
(3)
st
(b) Pumi bought a car on 1 January 2019 for $ 5000.
The value of the car is decreased by 12% every year.
Find the value of the car after 3 years. Show all the working.
$ ……………………………………….
(3)
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022
Prepared for Lyceum International Schools by Lyceum Assessments
12
(c) Ama bought a pair of shoes from a sale for $ 220.
She got a 12% discount from the marked price.
Calculate the marked price of the pair of shoes.
Show all your working.
$ ……………………………………….
(4)
( Total for Question 9 is 10 marks )
END
Grade 9(Edexcel) Mathematics - Monthly Test - October 2022 [ Turn Over
Prepared for Lyceum International Schools by Lyceum Assessments
