Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
- A. 5x + 7y = 120
- B. 7x + 5y = 70
- C. x + y = 7
- D. 15x + 17y = 90
Find the gradient of the line passing through the points (-2, 0) and (0, -4)
- A. 2
- B. -4
- C. -2
- D. 4
In this fiqure, PQ = PR = PS and SRT = 68\(^o\). Find QPS
- A. 136\(^o\)
- B. 124\(^o\)
- C. 112\(^o\)
- D. 68\(^o\)
A crate of soft drinks contains 10 bottle of Coca-Cola 8 of Fanta and 6 of Sprite. If one bottle is selected at random, what is the probability that it is Not a Coca-Cola bottle?
- A. \(\frac{5}{12}\)
- B. \(\frac{1}{3}\)
- C. \(\frac{3}{4}\)
- D. \(\frac{7}{12}\)
What is the product of \(\frac{27}{5}\), \((3)^{-3}\) and (\(\frac{1}{5})^{-1}\)?
- A. 5
- B. 3
- C. 1
- D. \(\frac{1}{25}\)
The angle of a sector of a circle radius 10.5 cm is 48\(^o\). Calculate the perimeter of the sector.
- A. 25.4cm
- B. 25.4cm
- C. 25.6cm
- D. 29.8cm
In preparing rice cutlets, a cook used 75g of rice, 40g of margarine, 105g of meat and 20g of bread crumbs. Find the angle of the sector which represent meat in a pie chart?
- A. 30\(^o\)
- B. 60\(^o\)
- C. 112.5\(^o\)
- D. 157.5\(^o\)
Simplify \(\frac{324 – 4x^2}{2x + 18}\)
- A. 2(x - 9)
- B. 2(9 + x)
- C. 81 - x\(^2\)
- D. -2(x - 9)
If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, eventually without using the logarithm tables, log\(_{10}\)4.5
- A. 0.3010
- B. 0.4771
- C. 0.6532
- D. 0.9542
In a class of 150 students, the sector in a pie chart representing the students offering physics has angle 12\(^o\). How many students are offering physics?
- A. 18
- B. 15
- C. 10
- D. 5
The goals scored by 40 football teams from three league divisions are recorded below
| No of goals | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Frequency | 4 | 3 | 15 | 16 | 1 | 0 | 1 |
What is the total number of goals scored by all the teams?
- A. 21
- B. 40
- C. 91
- D. 96
A room is 12m long, 9m wide and 8m high. Find the cosine of the angle which a diagonal of the room makes with the floor of the room
- A. \(\frac{15}{17}\)
- B. \(\frac{8}{17}\)
- C. \(\frac{8}{15}\)
- D. \(\frac{12}{17}\)
What is the circumference of latitude 0\(^o\)S if R is the radius of the earth?
- A. cos \(\theta\)
- B. 2\(\pi\)R cos \(\theta\)
- C. R sin \(\theta\)
- D. 2 \(\pi\) r sin \(\theta\)
Four boys and ten girls can cut a field first in 5 hours. If the boys work at \(\frac{5}{4}\) the rate at which the girls work, how many boys will be needed to cut the field in 3 hours?
- A. 180
- B. 60
- C. 25
- D. 20
Reach each number to two significant figures and then evaluate \(\frac{0.02174 \times 1.2047}{0.023789}\)
- A. 0
- B. 0.9
- C. 1.1
- D. 1.2
Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) – 1 > \(\frac{1}{5}\)(x + 4)
- A. x < 11
- B. x < -1
- C. x > 6
- D. x > 11
Find the median of the numbers 89, 141, 130, 161, 120, 131, 131, 100, 108 and 119
- A. 131
- B. 125
- C. 123
- D. 120
Factorise (4a + 3) \(^2\) – (3a – 2)\(^2\)
- A. (a + 1)(a + 5)
- B. (a - 5)(7a - 1)
- C. (a + 5)(7a + 1)
- D. a(7a + 1)
Evaluate (212)\(_3\) – (121)\(_3\) + (222)\(_3\)
- A. (313)\(_3\)
- B. (1000)\(_3\)
- C. (1020)\(_3\)
- D. (1222)\(_3\)
Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.
- A. \(\frac{2\sqrt{3}}{3} + 10\)
- B. \(\frac{3\sqrt{2} - 1}{5}\)
- C. \(\frac{3\sqrt{2} + 1}{5}\)
- D. \(\frac{2\sqrt{3}}{3} - 10\)
If \(\sin x = \frac{4}{5}\), find \(\frac{1 + \cot^2 x}{\csc^2 x – 1}\).
- A. \(\frac{13}{2}\)
- B. \(\frac{25}{9}\)
- C. \(\frac{3}{13}\)
- D. \(\frac{4}{11}\)