If y2+ 14y + k is a perfect square, then k =
- A. 4
- B. 7
- C. 28
- D. 49
- E. 196
If 2x : ( x + 1) = 3 : 2, what is the value of x?
- A. \(\frac{1}{2}\)
- B. 1
- C. 1\(\frac{1}{2}\)
- D. 3
- E. 3\(\frac{1}{2}\)
Two fair dice are tossed together once. What is the probability of getting a total of at least 9 from the outcome?
- A. \(\frac{1}{9}\)
- B. \(\frac{1}{6}\)
- C. \(\frac{5}{18}\)
- D. \(\frac{1}{3}\)
- E. \(\frac{13}{18}\)
The parallel sides of a trapezium are 13cm and 7cm. If the area of the trapezium is 50cm2, find the perpendicular distance between the parallel sides.
- A. 5cm
- B. 6cm
- C. 7cm
- D. 10cm
- E. 12cm
If 25a2 = 5-1 × 125. Find the value of a?
- A. a = -1
- B. a = 1
- C. a = ±1
- D. a = ±5
- E. a = 25
A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm?
- A. 12cm
- B. 20cm
- C. 23cm
- D. 60cm
- E. 80cm
T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.
- A. 4
- B. 6
- C. 8
- D. 12
- E. 24
3 – 7, 8 – 12, 13 – 17, 18 – 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20
- A. I only
- B. II only
- C. III only
- D. I and II only
- E. II and III only
Find the standard deviation of the numbers 6, 9, 10, 8 and 7
- A. 1.4
- B. 2
- C. 2.4
- D. 5
- E. 8
If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?
- A. x < 2
- B. x < 3
- C. x < 4
- D. x < 5
- E. x < 6
If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?
- A. 0.0432
- B. 0.4322
- C. 1.0791
- D. 1.2552
- E. 1.5225
If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?
- A. U = {-1 < x < 9}
- B. U = {0 < x < 9}
- C. U = {1 < x < 9}
- D. U = {1 < x < 10}
- E. {2 < x < 10}
A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km)
- A. 6468km
- B. 5469km
- C. 4470km
- D. 3470km
- E. 2488km
Calculate without using tables Tan 45° + Cos 60°
- A. \(\sqrt{\frac{3}{2}}\) - 1
- B. \(\frac{1}{2}\)
- C. 1\(\frac{1}{2}\)
- D. \(\sqrt{\frac{3}{2}}\) + 1
- E. 2
A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.
- A. 7.21km
- B. 13.53km
- C. 16.86km
- D. 44.57km
- E. 67.17km
What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) – 10001\(_{two}\)?
- A. 10001\(_{two}\)
- B. 10011\(_{two}\)
- C. 10111\(_{two}\)
- D. 11111\(_{two}\)
- E. 111111\(_{two}\)
Evaluate 0.0025 × 2.5 × 102 to 2 significant figures.
- A. 0.625 × 10-3
- B. 0.63 × 10-2
- C. 6.25 × 10-3
- D. 6.3 × 10-2
- E. 6.3 × 10-1
If x + \(\frac{1}{x}\) = 8, find x2 + \(\frac{1}{x^2}\)
- A. 64
- B. 62
- C. 32
- D. 16
- E. 4
A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land
- A. 39.40 metres
- B. 46.20 metres
- C. 46.25 metres
- D. 46.50 metres
- E. 48.25 metres
Solve for x in the quadratic equation. 2x2 + 12x + 10 = 0
- A. x = -5, -1
- B. x = -5,1
- C. x = -3, -2
- D. x = 3, 2
- E. x = 6, 5