Year :
2002
Title :
Mathematics
Exam :
NECO - BECE
Paper 1 | Objectives
11 - 20 of 32 Questions
| # | Question | Ans |
|---|---|---|
| 11. |
If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs A. 3.20 ms2 B. 11.31 ms2 C. 32.00 ms2 D. 56.57 ms2 E. 160.00 ms2 |
C |
| 12. |
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. \(\frac{81}{125}\) |
E |
| 13. |
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\(^2\) Detailed SolutionT.S.A of a cylinder = \(2\pi r (r + h)\)= \(2 \times \frac{22}{7} \times 2 (2 + 1.5)\) = 44 cm\(^2\) |
|
| 14. |
A wire was shaped to form a square of area 81cm2. 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 |
E |
| 15. |
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. \(\frac{1}{24}\) |
D |
| 16. |
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 |
D |
| 17. |
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) Detailed Solution2x\(^2\) - xy - 3y\(^2\)= 2x\(^2\) + 2xy - 3xy - 3y\(^2\) = 2x(x + y) - 3y(x + y) = (2x - 3y)(x + y) |
|
| 18. |
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. \(\sqrt{3}\) |
C |
| 19. |
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 |
C |
| 20. |
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 |
C |
| 11. |
If \(\frac{t}{1}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when I = 4.5; t = 5 secs A. 3.20 ms2 B. 11.31 ms2 C. 32.00 ms2 D. 56.57 ms2 E. 160.00 ms2 |
C |
| 12. |
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. \(\frac{81}{125}\) |
E |
| 13. |
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\(^2\) Detailed SolutionT.S.A of a cylinder = \(2\pi r (r + h)\)= \(2 \times \frac{22}{7} \times 2 (2 + 1.5)\) = 44 cm\(^2\) |
|
| 14. |
A wire was shaped to form a square of area 81cm2. 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 |
E |
| 15. |
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. \(\frac{1}{24}\) |
D |
| 16. |
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 |
D |
| 17. |
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) Detailed Solution2x\(^2\) - xy - 3y\(^2\)= 2x\(^2\) + 2xy - 3xy - 3y\(^2\) = 2x(x + y) - 3y(x + y) = (2x - 3y)(x + y) |
|
| 18. |
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. \(\sqrt{3}\) |
C |
| 19. |
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 |
C |
| 20. |
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 |
C |