END OF TERM 3 MATHEMATICS EXAM
ACADEMIC YEAR 2020/2021
STAGE 9
Date: 11/06/2021
INSTRUCTIONS
- Answer all questions.
- Use a black or dark blue pen.
- Write your name in the box at the top of the page.
- Write your answer to each question in the space provided.
- Do not use an erasable pen or correction fluid
- You should use a calculator where appropriate.
- You must show all necessary working clearly; no marks will be given for
unsupported answers from a calculator.
INFORMATION
The total mark for this paper is 100.
The number of marks for each question or part question is shown in brackets [ ].
The maximum time is Two hours (2h).
2
Q1. a. Mount Everest is the highest mountain in the world. The summit is 8848
metres above sea level. Round this number to 1 significant figure (1 s. f.)
[2]
b. [3]
c. Work out
𝟑𝟖−𝟕
𝟐+𝟓
Give your answer to 2 decimal places
[3]
3
Q2.
[2]
[3]
4
Q3. a.
[3]
b. Factorise and simplify:
i.
ii.
𝑥 2 −5𝑥
𝑥 2 −3𝑥−10
𝑛2 −100
𝑛+10
[4]
[2]
5
1
3
Q4. a. Without using a calculator, find the value of: 27
+
1
1
−
4 2
+ 100
[4]
2
b. By using a calculator, find the value of 83
Q5. Simplify a.
( 4𝑥 8 𝑦 3 )
c.
3
[3]
2𝑥 5 𝑦 2
𝟑𝒙−𝟒 ×
b.
𝟐
𝒙+𝟏
+
[1]
𝟑
𝒙+𝟐
𝟐
𝟑
𝟏
𝒙𝟐
[3]
[3]
6
Q6.
A company sells regular size boxes of washing powder. They decide to make
a large size box by increasing the dimensions in the ratio 5 : 4.
a. Calculate the measurements of the large box.
b. Find i. the volume of a regular box
ii. the volume of large box
[3]
[2]
[2]
c. Write down and simplify the ratio volume of large box : volume
of regular box
[2]
7
Q7. a.
[3]
b.
[2]
c. [3]
Q8. a. Find the gradient and y intercept for the function 2𝑦 = 5 − 3𝑥
[3]
8
b.
[3]
c. Find the equation of a straight line which is perpendicular to 𝑦 + 𝑥 = −1 and
passes through the point (0,3).
[3]
9
Q9. a. Solve the following equation: 23𝑥−1 = 32
b.
[3]
[3]
10
10. A bottling machine fills 500 bottles in 15 minutes. How many bottles will it fill
1
in 1 ℎ𝑜𝑢𝑟𝑠 ( 𝑖. 𝑒 90 𝑚𝑖𝑛𝑢𝑡𝑒𝑠)?
2
[3]
11. A factory produces cars in red, blue, white and green in the ratio 7: 5: 3: 1.
Out of a production of 48 000 cars, how many are white?
[3]
Q12
a. Find the equation of a straight line which is parallel to the line 𝑦 = −4𝑥 + 7 and
passes through the point (0, 2).
[3]
11
b. Find the midpoint and length of the line segment joining (12, 4) and (4, -2).
Midpoint: ………………………………….
[3]
Length: …………………………………
[3]
13.
[4]
12
14.
[4]
15. Convert 𝟎. 𝟔𝟖𝟔𝟖𝟔𝟖 … to a fraction.
[4]
13
16. [3]
End.