NAME: ________________________________
grade
1
2
3
4
5
6
7
8
9
Mark
-6
-12
-18
-24
-30
-36
-42
-48
-54
Q1)
(2)
Q2.
Q3.
Q4.
Express
5
𝑥+2
− 2𝑥
3
as a single fraction in its simplest terms.
………………………………………... (3)
Q5.
Simplify fully
6𝑥 3 +13𝑥 2 −5𝑥
4𝑥 2 −25
........................................................... (3)
Q6.
ABC is a right-angled triangle. AC = 8 m. Angle CAB = 37°.
a) Calculate the length of AB. Give your answer correct to 3 significant figures.
…………………………………….. m (2)
b) Find the length of CB. Give your answer correct to 1 decimal place
……………………………………. m (2)
Q7.
Work out the value of 𝑥.
Give your answer correct to 1 decimal place.
………………………………... ° (2)
Q8.
Q9.
Make c the subject of the formula
𝑝=√
𝑎𝑐+8
3+𝑐
........................................................... (4)
Q10.
(3)
Q11. Label the following sequences arithmetic, geometric, Fibonacci or quadratic.
(i) 7, 9, 16, 25, 41, 66 …
…….……………………….. (1)
(ii) 7, 9, 11, 13, 15, 17 …
.…………………………….. (1)
(iii) 7, 14, 28, 56, 112 …
.…………………………….. (1)
Q12. The diagram shows a solid cylinder made from iron.
The cylinder has diameter 18 cm and height 3.5 cm
The mass of the cylinder is 7.04 kg
Work out the density of the iron.
Give your answer in g/cm3 correct to 2 significant figures.
....................................................... g/cm3 (3)
Q13. A quadratic sequence has 4th term, 5th term and a 6th term as follows:
𝑎4 = −10,
𝑎5 = 5,
𝑎6 = 26
Work out the nth term of the sequence.
……………………………………………….. (5)
Q14. a) List the integer solutions to the following inequality in set notation:
4 ≤ 𝑦 < 8
……………………………………………. (1)
b) Solve the linear inequality:
𝑥 + 3 < 4𝑥 + 2 ≤ 3𝑥 + 5
……………………………………………. (3)
c) Represent your solution to part b on the number line below:
-3
-2
-1
0
1
2
3
…………………………………( 2)
Q15) Malika invests £4500 in a bank for 3 years. The first year she was given a 4% annual
compound interest and a 2% annual interest after that. How much will she have at the end
of her 3 years?
……………………………………………………..( 3)
Q 16) Find the equations of the asymptotes .
……….( 2)
Q 17)
(2)
END OF TEST NOW CHECK YOUR ANSWERS. TOTAL = 54 MARKS.