A cylinder, opened at one end, has a radius of 3.5cm and height 8cm. calculate the total surface area
- A. 126.5cm\(^2\)
- B. 165.0cm\(^2\)
- C. 212.0cm\(^2\)
- D. 214.5cm\(^2\)
A ladder 6m long leans against a vertical wall at an angle 53ΒΊ to the horizontal. How high up the wall does the ladder reach?
- A. 3.611m
- B. 4.521m
- C. 4.792m
- D. 3.962m
Find the area of the sector OPSQ
- A. 15.40cm\(^2\)
- B. 17.64cm\(^2\)
- C. 23.10cm\(^2\)
- D. 32.34cm\(^2\)
In the diagram, β POQ = 150 and the radius of the circle PSQR is 4.2cm. [take Ο = 22/7]
What is the length of the minor arc?
- A. 11cm
- B. 15.4cm
- C. 17.64cm
- D. 23.10cm
An exterior angle of a regular polygon is 22.5Β°. Find the number of sides.
- A. 13
- B. 14
- C. 15
- D. 16
Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)
- A. \(\frac{k^2r + p}{m^2}\)
- B. \(\frac{k^2r + pm^2}{m^2}\)
- C. \(\frac{k^2r - p}{m^2}\)
- D. \(\frac{k^2r + p^2}{m^2}\)
.Find the value of x such that \(\frac{1}{x}\) +\(\frac{4}{3x}\) – \(\frac{5}{6x}\) + 1 = 0
- A. \(\frac{1}{6}\)
- B. \(\frac{1}{4}\)
- C. \(\frac{-3}{2}\)
- D. \(\frac{-7}{6}\)
What value of p will make (x\(^2\) – 4x + p) a perfect square?
- A. -2
- B. 16
- C. 4
- D. -8
Consider the statements:
p: Stephen is intelligent
q: Stephen is good at Mathematics
If pβq, which of the following is a valid conclusion?
- A. If Stephen is good at Mathematics, then he is intelligent
- B. If Stephen is not good at Mathematics, then he is not intelligent
- C. If Stephen is not intelligent, then he is not good at Mathematics
- D. If Stephen is not good at Mathematics, then he is intelligent
Mary has $ 3.00 more than Ben but $ 5.00 less than Jane. If Mary has $ x, how much does Jane and Ben have altogether?
- A. $(2x-8)
- B. $(2x+8)
- C. $(2x-2)
- D. $(2x+2)
If 5x + 3y=4 and 5x-3y= 2, what is the value of (25x\(^2\) -9y\(^2\))?
- A. 20
- B. 16
- C. 2
- D. 8
The length of a piece of stick is 1.75 m. A boy measured it as 1.80 m. Find the percentage error
- A. 4\(\frac{4}{7}\)
- B. 2\(\frac{6}{7}\)
- C. 2\(\frac{7}{9}\)
- D. 4\(\frac{7}{9}\)
Three boys shared D 10,500.00 in the ratio 6:7:8. Find the largest share.
- A. 4000
- B. 5000
- C. 4500
- D. 3500
If a = 3 and b = -7, find the value of \(\frac{5b+(a+b)^2}{(a-b)^2}\)
- A. 0.51
- B. 0.91
- C. -0.19
- D. -0.51
M varies directly as n and inversely as the square of p. If M= 3 when n = 2 and p = 1, find M in terms of n and p.
- A. \(\frac{3n}{2p^2}\)
- B. \(\frac{2n}{3p^2}\)
- C. \(\frac{2n}{3p}\)
- D. \(\frac{3n^2}{2p^2}\)
Find the 17term of the Arithmetic Progression (A.P):-6,-1,4
- A. -91
- B. -86
- C. 74
- D. 79
A weaver bought a bundle of grass for $ 50.00 from which he made 8 mats. If each mat was sold for $ 15.00, find the percentage profit.
- A. 240%
- B. 140%
- C. 120%
- D. 40%
If 4\(^{3x}\) = 16\(^{x+1}\), find the value of x
- A. 2
- B. 3
- C. 4
- D. 5
If β24 + β96 – β600 = yβ6, find the value of y
- A. 4
- B. 2
- C. -2
- D. -4
Given that A and B are sets such that n(A) = 8, n(B)=12 and n(AnB) =3, find n(AuB).
- A. 15
- B. 17
- C. 20
- D. 23