Simplify \(\frac{2}{2 + x} + \frac{2}{2 – x}\)
- A. \(\frac{4}{4 - x^3}\)
- B. \(\frac{8}{4 - x^2}\)
- C. \(\frac{4x}{4 - x^2}\)
- D. \(\frac{8 - 4x}{4 - x^2}\)
What is the length of a rectangular garden whose perimeter is 32cm and area 39cm2?
- A. 25cm
- B. 18cm
- C. 13cm
- D. 9cm
Given that tan x = 1, where 0o \(\geq\) x 90o, evaluate \(\frac{1 – \sin^2 x}{\cos x}\)
- A. 2\(\sqrt{2}\)
- B. \(\sqrt{2}\)
- C. \(\frac{\sqrt{2}}{2}\)
- D. \(\frac{1}{2}\)
A rectangle has length xcm and width (x – 1)cm. If the perimeter is 16cm. Find the value of x
- A. 3\(\frac{1}{2}\)cm
- B. 4cm
- C. 4\(\frac{1}{2}\)cm
- D. 5cm
If sin 3y = cos 2y and 0o \(\leq\) 90o, find the value of y
- A. 18o
- B. 36o
- C. 54o
- D. 90o
Simplify 2\(\sqrt{3}\) – \(\frac{6}{\sqrt{3}} + \frac{3}{\sqrt{27}}\)
- A. 1
- B. \(\frac{1}{3}\sqrt{3}\)
- C. 2\(\sqrt{3} - 5\frac{2}{3}\)
- D. 6\(\sqrt{3}\) - 17
\(\begin{array}{c|c} \text{No. of pets} & 0 & 1 & 2 & 3 & 4 \\ \hline \text{No. of students} & 8 & 4 & 5 & 10 & 3\end{array}\) The table shows the number of pets kept by 30 students in a class. If a student is picked at random ftom the class. What is the probability that he/she kept more than one pet?
- A. \(\frac{1}{5}\)
- B. \(\frac{2}{5}\)
- C. \(\frac{3}{5}\)
- D. \(\frac{4}{5}\)
Given that \(\frac{5^{n +3}}{25^{2n -3}}\) = 5º, find n
- A. n = 1
- B. n = 2
- C. n = 3
- D. n = 5
An empty rectangular tank is 250cm long and 120cm wide. If 180 litres of water is poured into the tank. Calculate the height of the water
- A. 6.0cm
- B. 5.5cm
- C. 5.0cm
- D. 4.5cm
Solve the inequality: 3(x + 1) \(\leq\) 5(x + 2) + 15
- A. x \(\geq\) -14
- B. x \(\leq\) - 14
- C. x \(\geq\) -11
- D. x \(\leq\) - 11
Given that = {x: -2 < x \(\leq\) 9}, where x is an integer what is n(T)?
- A. 9
- B. 10
- C. 11
- D. 12
The sum of 6 and one-third of x is one more than twice x, find x
- A. x = 7
- B. x = 5
- C. x = 3
- D. x = 2
Given that P = {x : 1 \(\leq x \leq 6\)}, and Q = {x : 2 \(\leq x \leq 10\)} where x is an integer. Find n(P \(\cap\) Q)
- A. 5
- B. 6
- C. 8
- D. 10
A casting is made up of Copper and Zinc. If 65% of the casting is Zinc and there are 147g of Copper. What is the mass of the casting?
- A. 320g
- B. 420g
- C. 520g
- D. 620g
The sum of 2 consecutive whole numbers is \(\frac{5}{6}\) of their product, find the numbers
- A. 3, 4
- B. 1, 2
- C. 2, 3
- D. 0, 1
Simplify 1\(\frac{1}{2} + 2\frac{1}{3} \times \frac{3}{4} – \frac{1}{2}\)
- A. -2\(\frac{1}{3}\)
- B. -2\(\frac{1}{4}\)
- C. 2\(\frac{1}{8}\)
- D. 2\(\frac{3}{4}\)
Correct 0.002473 to 3 significant figure
- A. 0.002
- B. 0.0024
- C. 0.00247
- D. 0.0025
A car uses one litre of petrol for every 14km. If one of petrol cost N63.00, how far can the car go with N900.00 worth of petrol?
- A. 420km
- B. 405km
- C. 210km
- D. 200km
Factorize: x + y – ax = ay
- A. (x - y)(1 - a)
- B. (x + y)(1 + a)
- C. (x + y)(1 - a)
- D. (x - y)(1 + a)
Simplify 0.000215 x 0.000028 and express your answer in standard form
- A. 6.03 x 109
- B. 6.02 x 109
- C. 6.03 x 10-9
- D. 6.02 x 10-9