The angle of a sector of a circle radius 10.5cm is 120ยฐ. Find the perimeter of the sector [Take ฯ = 22/7]
- A. 22cm
- B. 33.5cm
- C. 43cm
- D. 66cm
- E. 115.5cm
The area and a diagonal of a rhombus are 60 cm\(^2\) and 12 cm respectively. Calculate the length of the other diagonal.
- A. 5cm
- B. 6cm
- C. 10cm
- D. 12cm
- E. 15cm
A cone is 14cm deep and the base radius is 4\(\frac{1}{2}\)cm. Calculate the volume of water that is exactly half the volume of the cone.[Take ฯ = \(\frac{22}{7}\)]
- A. 49.5cm3
- B. 99cm3
- C. 148.5cm3
- D. 297cm3
- E. 445.5cm3
Calculate the total surface area of a cone of height 12cm and base radius 5cm. [Take ฯ = 22/7]
- A. 180\(\frac{5}{7}\)cm\(^2\)
- B. 240\(\frac{2}{7}\)cm\(^2\)
- C. 235\(\frac{5}{7}\)cm\(^2\)
- D. 282\(\frac{6}{7}\)cm\(^2\)
- E. 361\(\frac{3}{7}\)cm\(^2\)
A sector of a circle of radius 9cm subtends angle 120ยฐ at the centre of the circle. Find the area of the sector to the nearest cm\(^2\) [Take ฯ = 22/7]
- A. 75cm2
- B. 84cm2
- C. 85cm2
- D. 86cm2
- E. 95cm2
Solve the simultaneous equations y = 3x; 4y – 5x =14
- A. .-2,-6
- B. 2,6
- C. 2,-6
- D. -2,6
- E. -1,-3
Factorize 2x\(^2\) – 21x + 45
- A. (2x - 9)(x - 5)
- B. (2x-15)(x + 3)
- C. (2x +15)(x - 3)
- D. (2x -15(x - 3)
- E. (2x - 9)(x + 5)
Write as a single fraction: \(\frac{5}{6r} – \frac{3}{4r}\)
- A. r/12
- B. 12/r
- C. 1/6r
- D. r/6
- E. 1/12r
Solve the equation x\(^2\) – 2x – 3 = 0
- A. (-3, 1)
- B. (-1, -3)
- C. (3,1)
- D. (43, 0)
- E. (-1, 3).
Factorize the expression 2s\(^2\) – 3st – 2t\(^2\).
- A. (2s - t)(s + 2t)
- B. (2s + t)(s - 2t)
- C. (s + t)(2s - 1)
- D. (2s + t)(s -t)
- E. (2s + t)(s + 2t)
Simplify: \(\frac{\log \sqrt{27}}{\log {81}}\)
- A. 1/6
- B. 3/8
- C. 1/2
- D. 3/4
- E. 6
Simplify: \(\frac{4^{-\frac{1}{2}} \times 16^{\frac{3}{4}}}{4^{\frac{1}{2}}}\)
- A. 1/4
- B. 0
- C. 1
- D. 2
- E. 4
The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n-1}\). Find the sum of the second and third terms.
- A. -2
- B. 1
- C. 2
- D. 6
- E. 12
A stick of length 1.75m was measured by a boy as 1.80m. Find the percentage error in his measurement
- A. 27/9%
- B. 26/7%
- C. 5%
- D. 277/9%
- E. 284/7%.
Convert 89\(_{10}\) to a number in base two.
- A. 1101001
- B. 1011001
- C. 1001101
- D. 101101
- E. 11001
Solve the inequality: 3m + 3 > 9
- A. m > 2
- B. m > 3
- C. m>4
- D. m>6
- E. m>12
Simplify: \(\frac{3}{4} \div 1\frac{1}{4} \times (1\frac{1}{2} – \frac{2}{3})\)
- A. 7/30
- B. 7/24
- C. 9/25
- D. 1/2
- E. 18/25
S = {1, 2, 3, 4, 5, 6}, T = {2,4,5,7} and R = {1,4, 5}, and (SโฉT) โช R
- A. {1, 4, 5}
- B. {2, 4, 5}
- C. {1, 2, 4, 5}
- D. {2, 3, 4, 5}
- E. {1, 2, 3, 4, 5}