\(\begin{array}{c|c}
Age(years) & 13 & 14 & 15 & 16 & 17 \\
\hline
Frequency & 10 & 24 & 8 & 5 & 3
\end{array}\)
The table shows the ages of students in a club. How many students are in the club?
- A. 50
- B. 55
- C. 60
- D. 65
If cos \(\theta\) = x and sin 60o = x + 0.5 0o < \(\theta\) < 90o, find, correct to the nearest degree, the value of \(\theta\)
- A. 32o
- B. 40o
- C. 60o
- D. 69o
A straight line passes through the point P(1,2) and Q
(5,8). Calculate the length PQ
- A. \(4\sqrt{11}\)
- B. \(4\sqrt{10}\)
- C. \(2\sqrt{17}\)
- D. \(2\sqrt{13}\)
A straight line passes through the points P(1,2) and Q(5,8). Calculate the gradient of the line PQ
- A. \(\frac{3}{5}\)
- B. \(\frac{2}{3}\)
- C. \(\frac{3}{2}\)
- D. \(\frac{5}{3}\)
The volume of a pyramid with height 15cm is 90cm3. If its base is a rectangle with dimension xcm by 6cm, find the value of x
- A. 3
- B. 5
- C. 6
- D. 8
The curve surface area of a cylinder, 5cm high is 110cm 2. Find the radius of its base. [Take \(\pi = \frac{22}{7}\)]
- A. 2.6cm
- B. 3.5cm
- C. 3.6cm
- D. 7.0cm
Factorize; (2x + 3y)2 – (x – 4y)2
- A. (3x - y)(x + 7y)
- B. (3x + y)(2x - 7y)
- C. (3x + y)(x - 7y)
- D. (3x - y)(2x + 7y)
Make s the subject of the relation: P = S + \(\frac{sm^2}{nr}\)
- A. s = \(\frac{mrp}{nr + m^2}\)
- B. s = \(\frac{nr + m^2}{mrp}\)
- C. s = \(\frac{nrp}{mr + m^2}\)
- D. s = \(\frac{nrp}{nr + m^2}\)
Simplify; \(\frac{2}{1 – x} – \frac{1}{x}\)
- A. \(\frac{x + 1}{x(1 - x)}\)
- B. \(\frac{3x - 1}{ x(1 - x)}\)
- C. \(\frac{3x + 1}{ x(1 - x)}\)
- D. \(\frac{x + 1}{ x(1 - x)}\)
Given that 2x + y = 7 and 3x – 2y = 3, by how much is 7x greater than 10?
- A. 1
- B. 3
- C. 7
- D. 17
Find the values of y for which the expression \(\frac{y^2 – 9y + 18}{y^2 + 4y – 21}\) is undefined
- A. 6, -7
- B. 3, -6
- C. 3, -7
- D. -3, -7
The roots of a quadratic equation are \(\frac{4}{3}\) and -\(\frac{3}{7}\). Find the equation
- A. 21x2 - 19x - 12 = 0
- B. 21x2 + 37x - 12 = 0
- C. 21x2 - x + 12 = 0
- D. 21x2 + 7x - 4 = 0
What sum of money will amount to D10,400 in 5 years at 6% simple interest?
- A. D8,000.00
- B. D10,000.00
- C. D12,000.00
- D. D16,000.00
Simplify; \(\frac{3^{n – 1} \times 27^{n + 1}}{81^{n}}\)
- A. 32n
- B. 9
- C. 3n
- D. 3n + 1
On a map, 1cm represent 5km. Find the area on the map that represents 100km2.
- A. 2cm2
- B. 4cm2
- C. 8cm2
- D. 8cm2
Which of following is a valid conclusion from the premise. “Nigeria footballers are good footballers”?
- A. Joseph plays football in Nigeria therefore he is a good footballer
- B. Joseph is a good footballer therefore he is a Nigerian footballer
- C. Joseph is a Nigerian footballer therefore he is a good footballer
- D. Joseph plays good football therefore he is a Nigerian footballer
The distance, d, through which a stone falls from rest varies directly as the square of the time, t, taken. If the stone falls 45cm in 3 seconds, how far will it fall in 6 seconds?
- A. 90cm
- B. 135cm
- C. 180cm
- D. 225cm
Simplify:(\(\frac{10\sqrt{3}}{\sqrt{5}} – \sqrt{15}\))2
- A. 75.00
- B. 15.00
- C. 8.66
- D. 3.87
Simplify: (\(\frac{3}{4} – \frac{2}{3}\)) x 1\(\frac{1}{5}\)
- A. \(\frac{1}{60}\)
- B. \(\frac{5}{72}\)
- C. \(\frac{1}{10}\)
- D. 1\(\frac{7}{10}\)