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F3C - Test 3

This document is a mathematics test for Form 3 students at Quinton Senior School, consisting of various questions covering topics such as algebra, fractions, estimation, and problem-solving. The test includes a total of 10 questions, with a mix of calculations, expansions, simplifications, and word problems. Students are required to answer all questions within a time limit of 1 hour and 10 minutes, with specific instructions on rounding and accuracy.

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Tinashe Ruzvidzo
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29 views2 pages

F3C - Test 3

This document is a mathematics test for Form 3 students at Quinton Senior School, consisting of various questions covering topics such as algebra, fractions, estimation, and problem-solving. The test includes a total of 10 questions, with a mix of calculations, expansions, simplifications, and word problems. Students are required to answer all questions within a time limit of 1 hour and 10 minutes, with specific instructions on rounding and accuracy.

Uploaded by

Tinashe Ruzvidzo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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QUINTON SENIOR SCHOOL

FORM 3 - CAMBRIDGE
MATHEMATICS TEST 3 [50 Marks]
TIME : 1 hr 10 mins
ANSWER ALL QUESTIONS
NB:IF THE DEGREE OF ACCURACY IS NOT SPECIFIED IN THE QUESTION AND IF THE ANSWER IS NOT
EXACT GIVE YOUR ANSWER CORRECT TO THREE SIGNIFICANT FIGURES.

1.a) 1.a) Evaluate: (i)(16½)1½ [2]


(ii) 7-¼ x 71¼ x7 [2]

b) Expand and simplify: (3𝑥 + 2𝑦)(2𝑥 − 𝑦) [2]

2. Express as a single fraction in its simplest form:


𝑥+2
(a) 3 - [3]
𝑥−1
3 4
(b) - [3]
𝑥−2 𝑥+1

𝑥 𝑥−4
3. a) Express + as a single fraction in its simplest form.
3 5

𝑥 𝑥−4
b) Hence, or otherwise solve the equation + = 4. [4]
3 5
𝑛
4. a) Given that P = 2 [2a + (𝑛 − 1)d], find the value of a when n = 10, d = 4 and P = 20. [3]

b) Write 0,416̇ as a common fraction. [2]

5. a) By rounding each number correct to 1 s.f, estimate the value of:


(19.719)²−2.9513 × 22.628
[3]
685 ÷ (5.16 +1.7694)

b) Factorise completely: (i) 4a2b – 20ab2 [1]


(ii) 𝑥(𝑥 − 2) – 2𝑥y + 4y [2]
(iii) 12m – 2n2 + 6mn – 4n [2]

√𝑎
6. Find the value of 2 , when a = 1,21 x 10-4 and b = 4,4 x 10-6, giving your answer in
𝑏
standard form. [3]
7. a) Find two consecutive odd numbers such that six times the smaller one added to
four times the greater number becomes 138. [2]
b) Black pencils cost 15 cents each and coloured pencils cost 21 cents each. lf 24 pencils
cost $4,02, how many of them were black? [2]

6. a) Given that m = 3 x 102 and n = 5 x 10- 4, express in standard form: (i) mn


𝑚
(ii) [4]
𝑛

𝟑
b) Linda spends of her pocket money and had $20 left. Find the amount of money
𝟓
she had at first. [3]
1 2
8. a) Find the value of 86 - 3 of 5 [2]

1 2 1
b) Simplify 56 - 3 3 ÷ 14 [3]

9. Given the expressions 12m3n2 and 18m2n3.

Find (a) the LCM [2]


(b) the HCF [2]

10. One farmer has 119 goats and another has 73. After they each sell the same number
of goats, one is left with three times as many goats as the other. How many goats
did each sell? [3]

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