If S = (4t + 3)(t – 2), find ds/dt when t = 5 secs.
- A. 50 units per sec
- B. 35 units per sec
- C. 22 units per sec
- D. 13 units per sec
Find the value of \(\frac{(0.5436)^3}{0.017 \times 0.219}\) to 3 significant figures.
- A. 46.2
- B. 43.1
- C. 534
- D. 431
Simplify 81\(^{\frac{-3}{4}}\) x 25\(^{\frac{1}{2}}\) x 243\(^{\frac{2}{5}}\)
- A. \(\frac{2}{5}\)
- B. \(\frac{3}{5}\)
- C. \(\frac{5}{2}\)
- D. \(\frac{5}{3}\)
The simple interest on ₦8550 for 3 years at x% per annum is ₦4890. Calculate the value of x to the nearest whole number.
- A. 19%
- B. 20%
- C. 25%
- D. 16.3%
Tade bought 200 mangoes at 4 for ₦2.50. 30 out of the mangoes got spoilt and the remaining were sold at 2 for ₦2.40. Find the percentage profit or loss.
- A. 43.6% loss
- B. 35% profit
- C. 63.2% profit
- D. 28% loss
If P varies inversely as the square root of q, where p = 3 and q = 16, find the value of q when p = 4.
- A. 12
- B. 8
- C. 9
- D. 16
Integrate \(\int_{-1} ^{2} (2x^2 + x) \mathrm {d} x\)
- A. \(4\frac{1}{2}\)
- B. \(3\frac{1}{2}\)
- C. \(7\frac{1}{2}\)
- D. \(5\frac{1}{4}\)
The nth term of a sequence is given by 2\(^{2n – 1}\). Find the sum of the first four terms.
- A. 74
- B. 32
- C. 42
- D. 170
Solve the inequality: -7 \(\leq\) 9 – 8x < 16 – x
- A. -1 \(\leq\) x \(\leq\) 2
- B. -1 \(\leq\) x < 2
- C. -1 < x < 2
- D. -1 < x \(\leq\) 2
Solve for x in \(\frac{4x – 6}{3} \leq \frac{3 + 2x}{2}\)
- A. \(x \leq 1\frac{1}{2}\)
- B. \(x \leq \frac{21}{2}\)
- C. \(x \geq \frac{21}{2}\)
- D. \(x \geq 1\frac{1}{2}\)
If \(f(x) = 3x^3 + 4x^2 + x – 8\), what is the value of f(-2)?
- A. -24
- B. 30
- C. -18
- D. -50
\(\frac{d}{dx} [\log (4x^3 – 2x)]\) is equal to
- A. \(\frac{12x - 2}{4x^2}\)
- B. \(\frac{43x^2 - 2x}{7x}\)
- C. \(\frac{4x^2 - 2}{7x + 6}\)
- D. \(\frac{12x^2 - 2}{4x^3 - 2x}\)
If \(y = 6x^3 + 2x^{-2} – x^{-3}\), find \(\frac{\mathrm d y}{\mathrm d x}\).
- A. \(\frac{\mathrm d y}{\mathrm d x} = 15x^2 - 4x^{-2} - 3x^{-2}\)
- B. \(\frac{\mathrm d y}{\mathrm d x} = 6x + 4x^{-1} - 3x^{-4}\)
- C. \(\frac{\mathrm d y}{\mathrm d x} = 18x^2 - 4x^{-3} + 3x^{-4}\)
- D. \(\frac{\mathrm d y}{\mathrm d x} = 12x^2 + 4x^{-1} - 3x^{-2}\)
If \(\begin{vmatrix} 2 & -4 \\ x & 9 \end{vmatrix} = 58\), find the value of x.
- A. 10
- B. 30
- C. 14
- D. 28
If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.
- A. m = 0, n = 4
- B. m = 4, n = 0
- C. m = 2, n = 2
- D. m = -2, n = 4
If given two points A(3, 12) and B(5, 22) on a x-y plane. Find the equation of the straight line with intercept at 2.
- A. y = 5x + 2
- B. y = 5x + 3
- C. y = 12x + 2
- D. y = 22x + 3
The marks scored by 30 students in a Mathematics test are recorded in the table below:
| Scores (Mark) | 0 | 1 | 2 | 3 | 4 | 5 |
| No of students | 4 | 3 | 7 | 8 | 6 | 2 |
What is the total number of marks scored by the children?
- A. 82
- B. 15
- C. 63
- D. 75
In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.
- A. 56 cm\(^2\)
- B. 24 cm\(^2\)
- C. 42 cm\(^2\)
- D. 34 cm\(^2\)
If \(4\sin^2 x – 3 = 0\), find the value of x, when 0° \(\leq\) x \(\leq\) 90°
- A. 90°
- B. 45°
- C. 60°
- D. 30°
From the cyclic quadrilateral MNOP above, find the value of x.
- A. 16°
- B. 25°
- C. 42°
- D. 39°
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the
- A. bisector of the two lines
- B. line parallel to the two lines
- C. angle bisector of the two lines
- D. perpendicular bisector of the two lines