In the diagram above, find the value of x
- A. 55o
- B. 50o
- C. 45o
- D. 40o
In triangle XYZ, ∠XYZ = 15o, ∠XZY = 45o and lXYl = 7 cm. Find lYZl.
- A. 14√2 cm
- B. \(7\left(\frac{\sqrt{6}}{2}\right)\)
- C. 7√2 cm
- D. 7 cm
PQ and RS are two parallel lines. If the coordinates of P, Q, R, S are (1,q), (3,2), (3,4), (5,2q) respectively, find the value of q
- A. 3
- B. 4
- C. 1
- D. 2
In the diagram above, QR is in the diameter of the semicircle QR. Find the area of the figure to the nearest whole number. [\(\pi = \frac{22}{7}\)]
- A. 89 cm2
- B. 70 cm2
- C. 90 cm2
- D. 80 cm2
Simplify \((25)^{\frac{-1}{2}} \times (27)^{\frac{1}{3}} + (121)^{\frac{-1}{2}} \times (625)^{\frac{-1}{4}}\)
- A. 34/55
- B. 9/11
- C. 14/5
- D. 3/275
Compute 1100112 + 111112
- A. 10010102
- B. 10100102
- C. 10001102
- D. 10001002
Evaluate \(\frac{2}{6-5\sqrt{3}}\)
- A. \(-\left(\frac{12}{39}-\frac{10\sqrt{3}}{39}\right)\)
- B. \(\frac{12}{39}-\frac{10\sqrt{3}}{39}\)
- C. \(-\left(\frac{12}{39}+\frac{10\sqrt{3}}{39}\right)\)
- D. \(\frac{12}{39}+\frac{10\sqrt{3}}{39}\)
Find the tax on an income of N20,000 if no tax is paid on the first N10,000 and tax is paid at N50 in N1000 on the next N5000 and at N55 in N1000 on the remainder
- A. N500
- B. N552
- C. N255
- D. N525
In a small village of 500 people, 350 speak the local language while 200 speak pidgin English. What percentage of the population speak both.
- A. 30%
- B. 10%
- C. 50%
- D. 14%
If (K2)\(_6\) * 3\(_6\) = 3\(_5\)(K4)\(_5\), what is the value of k?
- A. 1
- B. 4
- C. 3
- D. 2
Calculate the logarithm to base 9 of 3-4 * 92 * (81)-1
- A. 2
- B. zero
- C. -2
- D. -4
If m:n = 13:11, find m\(^2\) – n\(^2\) : (m + n)\(^2\)
- A. 1:11
- B. 1:13
- C. 1:10
- D. 1:12
simplify \(\frac{\frac{7}{9}-\frac{2}{3}}{\frac{1}{3}+\frac{\frac{2}{5}}{\frac{4}{5}}}\)
- A. \(\frac{11}{12}\)
- B. \(\frac{5}{6}\)
- C. \(\frac{1}{5}\)
- D. \(\frac{2}{15}\)
Differentiate (cos θ – sin θ)\(^2\)
- A. -2 cos 2θ
- B. -2 sin2θ
- C. 1 - 2 cos 2θ
- D. 1 - 2 sin 2θ
If dy/dx = x + cos x, find y
- A. x2 - sin x + c
- B. x2 + sin x + c
- C. x2/2 - sin x + c
- D. x2/2 + sin x + c
Find the value of x for which the function 3x\(^3\) – 9x\(^2\) is minimum
- A. zero
- B. 2
- C. 3
- D. 5
Differentiate (x2 – 1/x)2 with respect to x
- A. 4x2 - 4x - 2/x
- B. 4x2 - 2 + 2/x3
- C. 4x2 - 2 - 2/x3
- D. 4x2 - 3x + 2/x
The gradient of a curve is 2x + 7 and the curve passes through point (2, 0). find the equation of the curve.
- A. y = x2 + 7x + 9
- B. y = x2 + 7x - 18
- C. y = x2 + 7x + 18
- D. y = x2 + 14x + 11