Mathematics Past Questions And Answers
A man invested N5,000 for 9 months at 4%. What is the simple interest?
- A. N150
- B. N220
- C. N130
- D. N250
A boat sails 8 km north from P to Q and then sails 6 km west from Q to R. Calculate the bearing of R from P. Give your answer to the nearest degree.
- A. 217
- B. 323
- C. 037
- D. 053
In the diagram O and O' are the centres of the circles radii 15cm and 8cm respectively. If PQ = 12cm, find |OO'|.
- A. 8.46cm
- B. 19.04cm
- C. 20.81cm
- D. 26.16cm
If y = 2x3 + 6x2 + 6x + 1, Find dy/dx
- A. 6x2 + 12x + 1
- B. 6x2 + 6x + 1
- C. 6x2 + 6x + 6
- D. 6x2 + 12x + 6
Three defective bulbs got mixed up with seven good ones. If two bulbs are selected at random, what is the probability that both are good?
- A. \(\frac{3}{7}\)
- B. \(\frac{21}{50}\)
- C. \(\frac{7}{15}\)
- D. \(\frac{49}{100}\)
Each of the interior angles of a regular polygon is 140°. Calculate the sum of all the interior angles of the polygon
- A. 1080°
- B. 1260°
- C. 1800°
- D. 2160°
The eleventh term of an AP, is 25 and its first term is -3. Find its common difference.
- A. 19/10
- B. 21/5
- C. 23/11
- D. 24/5
The number proceeding 9909 which is a perfect square is
- (a) 9908
- (b) 9900
- (c) 9899
- (d) 9801
Factorize completely x2+2xy+y2+3x+3y−18.
- A. (x+y+6)(x+y-3)
- B. (x-y-6)(x-y+3)
- C. (x-y+6)(x-y-3)
- D. (x+y-6)(x+y+3)
(a) Simplify : \(\frac{x^{2} - 8x + 16}{x^{2} - 7x + 12}\).
(b) If \(\frac{1}{2}, \frac{1}{x}, \frac{1}{3}\) are successive terms of an arithmetic progression (A.P), show that \(\frac{2 - x}{x - 3} = \frac{2}{3}\).
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