find the limit of y = \(\frac{x^3 + 6x – 7}{x-1}\) as x tends to 1
- A. 9
- B. 8
- C. 0
- D. 7
If sec\(^2\)θ + tan\(^2\)θ = 3, then the angle θ is equal to?
- A. 90º
- B. 30º
- C. 45º
- D. 60º
A poultry farmer realized 200 eggs from his birds and sold 5 \(\frac{1}{2}\) crates of eggs. What percentages of eggs are left?
- A. 82.5%
- B. 15%
- C. 17.5%
- D. 85%
What will be the result obtained when the numerator of \(\frac{96}{50}\) is decreased by 37.5% and its denominator decreased by 20%.
- A. 1.5
- B. \(\frac{5}{2}\)
- C. \(\frac{96}{48}\)
- D. 0.5
The locus of points equidistant from a fixed point.
- A. circle
- B. perpendicular lines
- C. straight line
- D. bisector
Find the determinant of the matrix A = \(\begin{pmatrix} 2 & 3 \\ 1 & 3 \end{pmatrix}\)
- A. 4
- B. 2
- C. 5
- D. 3
Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula
- A. v = 3 \(πr^2\) h
- B. v = \(\frac{πrh}{3}\)
- C. v = \(\frac{πr^2h}{3}\)
- D. v = 3πrh
If A = \(\begin{pmatrix} 2 & 1 \\ 2 & 3 \\ 1 & 2 \end{pmatrix}\) and B = \(\begin{pmatrix} 3 & 2 \\ 4 & 2 \end{pmatrix}\). Find AB
- A. \(\begin{pmatrix} 18 & 6 \\ 12 & 10 \\ 10 & 6 \end{pmatrix}\)
- B. \(\begin{pmatrix} 10 & 6 \\ 13 & 10 \\ 12 & 6 \end{pmatrix}\)
- C. \(\begin{pmatrix} 10 & 6 \\ 12 & 10 \\ 11 & 6 \end{pmatrix}\)
- D. \(\begin{pmatrix} 10 & 6 \\ 18 & 10 \\ 11 & 6 \end{pmatrix}\)
Integrate (2x+1)\(^3\)
- A. \(\frac{{2x+1}^3}{8}\) + C
- B. \(\frac{{2x+1}^4}{8}\) + C
- C. \(\frac{{2x+1}^4}{4}\) + C
- D. \(\frac{{2x+1}^2}{6}\) + C
In how many ways can the letter of ZOOLOGY be arranged?
- A. 720
- B. 360
- C. 840
- D. 120
In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY
- A. 180º - gº - hº
- B. 360º - (g-h)º
- C. 180º - (g-h)º
- D. 360º - gº - hº
The 10th term of an AP is 32. If the first term is 3/2, what is the 4th term?
- A. 35/3
- B. 64
- C. 16
- D. 35/2
A rectangular pyramid has an area 24cm\(^2\) and height 7.5cm. Find its volume?
- A. 65.0cm\(^3\)
- B. 70.5cm\(^3\)
- C. 56.5cm\(^3\)
- D. 60.0cm\(^3\)
Mr Adu spends his annual salary on food(f), rent(r), car maintenance, gifts(g), savings(s) and some miscellaneous (m) as indicate in the table below:
| F | R | C | G | S | M |
| 28% | 15% | 20% | 14% | 10% | 13% |
If the above information is represented on a pie chart. What angle represents his spending on food?
- A. 108.5
- B. 100.8
- C. 98.8
- D. 120.5
- E. 120.5
Find the length of a chord 3cm from the centre of a circle of radius 5cm
- A. 8cm
- B. 5.6cm
- C. 7cm
- D. 6.5cm
Simplify \(\frac{1}{3-√2}\) in the form of p + q√2
- A. \(\frac{7}{3}\) - \(\frac{1}{7√2}\)
- B. \(\frac{7}{3}\) + \(\frac{1}{7√2}\)
- C. \(\frac{3}{7}\) - \(\frac{1}{7√2}\)
- D. \(\frac{3}{7}\) + \(\frac{√2}{7}\)
If sin θ = – \(\frac{3}{5}\) and θ lies in the third quadrant, find cos θ
- A. \(\frac{4}{5}\)
- B. - \(\frac{5}{4}\)
- C. \(\frac{5}{4}\)
- D. - \(\frac{4}{5}\)
If the mean of 2, 5, (x+1), (x+2), 7 and 9 is 6. Find the median
- A. 5.5
- B. 5
- C. 6.5
- D. 6
If a fair coin is tossed twice, what is the probability of obtaining at least one head?
- A. 0.25
- B. 0.75
- C. 0.5
- D. 0.33
The shaded portion in the venn diagram above represents?
- A. F - (E n F) - (G n F)
- B. E' n F n G'
- C. E u F u G
- D. F