The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m3 (leave your answer in standard form)?
- A. 3.9 × 10-1m3
- B. 3.9 × 10-2m3
- C. 3.9 × 10-3m3
- D. 3.9 × 10-4m3
- E. 3.9 × 10-5m3
A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?
- A. 3.0km
- B. 12.04km
- C. 17.2km
- D. 34.18km
- E. 36.61km
Simplify 2a2 -4ab – 6a2 – 10ab + 5ab – 5a2
- A. -9(a + b)
- B. 9(a + b)
- C. -9a (a + b)
- D. 9a(a - b)
- E. 9b(a + b)
An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R
- A. 3 : 1 : 4
- B. 3 : 2 : 1
- C. 3 : 2 : 4
- D. 3 : 3 : 4
- E. 3 : 2 : 8
Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) – \(\frac{1}{6}\)
- A. \(\frac{17}{30}\)
- B. \(\frac{65}{102}\)
- C. \(\frac{25}{34}\)
- D. \(\frac{102}{75}\)
- E. \(\frac{34}{25}\)
After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?
- A. 2\(\frac{4}{5}\) years
- B. 1\(\frac{2}{3}\) years
- C. 1\(\frac{1}{2}\) years
- D. 1 years
- E. \(\frac{3}{5}\) year
A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?
- A. 20.64m
- B. 29.48m
- C. 44.49m
- D. 49.55m
- E. 62.76m
The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?
- A. 1.11
- B. 65
- C. 1.85
- D. 2.45
- E. 3.85
The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?
- A. 1.52m
- B. 1.53m
- C. 1.54
- D. 1.55m
- E. 1.56m
Simplify [1 ÷ (x + 1)] – [2 ÷ (x – 1)] + [3 ÷ (x2 – 1)]
- A. - 3x ÷ (x2 - 1)
- B. - x ÷ (x2 -1)
- C. x ÷ (x2 - 1)
- D. (x + 1) ÷ (x2 - 1)
- E. (x + 4) ÷ (x2 - 1)
Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?
- A. x > 3
- B. x ≥ 3
- C. x ≤ 3
- D. x < 3
- E. x ≤ -3
What must be added to 3x2 – 5x to make it a perfect square?
- A. \(\frac{36}{25}\)
- B. \(\frac{25}{36}\)
- C. -\(\frac{25}{36}\)
- D. -\(\frac{5}{6}\)
- E. -\(\frac{6}{5}\)
When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?
- A. N4800.00
- B. N400
- C. N1800.00
- D. N1500.00
- E. N960.00
Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?
- A. N45.00
- B. N42.50
- C. N40.00
- D. N35.50
- E. N25.80
If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?
- A. \(\frac{1}{\sqrt{3}}\)
- B. \(\frac{2}{\sqrt{3}}\)
- C. \(\frac{1}{2}\)
- D. \(\frac{\sqrt{3}}{2}\)
- E. \(\sqrt{3}\)
What are the factors of 2x\(^2\) – xy – 3y\(^2\) ?
- A. (2x + 3y)(x + y)2
- B. (2x + 3y)(x + y)
- C. (2x + 3y)(x - y)
- D. (2x - 3y)(x + y)
- E. (2x - 3y)(x - y)
A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is
- A. x2 + 3x + 4 = 0
- B. 8x2 + 10x + 3 = 0
- C. 8x2 +12x – 3 = 0
- D. 8x2 + 10x-3.= 0
- E. 8x2 + 12x + 3 = 0
One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?
- A. \(\frac{2}{3}\)
- B. \(\frac{3}{8}\)
- C. \(\frac{7}{24}\)
- D. \(\frac{1}{4}\)
- E. \(\frac{1}{24}\)
A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?
- A. 3cm
- B. 6cm
- C. 9cm
- D. 12cm
- E. 27cm
What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?
- A. 440cm\(^2\)
- B. 220cm\(^2\)
- C. 88cm\(^2\)
- D. 44cm\(^2\)
- E. 22cm\(^2\)
The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?
- A. \(\frac{27}{125}\)
- B. \(\frac{9}{25}\)
- C. \(\frac{72}{125}\)
- D. \(\frac{76}{125}\)
- E. \(\frac{81}{125}\)