The sets A = {2, 3) and B = {2, 4) are subsets of the universal set, U = {l, 2, 3, 4).
Find A’ U B’, where A’ and B’ are complements of A and B respectively.

Express 39763, correct to three significant figures.

Evaluate √125 – √180 + √45

Determine the least value of y for which

5 + y = 2(mod 7)

Convert l203five to a base ten numeral.

Evaluate 77 x 93. Give the answer in standard form.

Find x if x/2 + 2x/3 = 14

Simplify 288^1/2 ÷ 64^1/3

If 2^-n = x, find 2ⁿ⁺¹.

A function f is given by f : x → x/(2x-1). For what value of x is f undefined?

When the point (4, 5) is reflected in the line 1, its image is (4, —5). What is the equation of the line 1?

If a = 2/b -1/c, find an expression for c, in terms of a and b.

The following shows a mapping x → y.

x    0     3     6      9    12

↓     ↓     ↓     ↓       ↓      ↓

y    -1    5    11    17    23

What linear equation connects x and y?

Simplify the expression

(2a + b)(a—b) + (2a—b)(a + b).

What is angle PQR in the construction above?

The sets R = {rhombuses} and T= {rectangles} are subsets of U = {quadrilaterals}. If S = R ∩ T. What is the set S?

The minute hand of a wall clock is 10.5 cm long. How far does its tip travel in 24 hours? [Take π = 22/7]

Simplify (3 – 2√2)(3 + 2√2)

Solve 4+3x < 10, if x is positive.

Two similar cylindrical shaped cans hold 2 litres and 6.75 litres of liquid. If the diameter of the smaller one is 16 cm, find the diameter of the larger can.

The figure below shows three circles which touch each other. X, Y and Z are centres of the circle. The circles with centres Y and Z have equal radii.

Which of the following statements is necessarily true of triangle XYZ?

Solve the equation l6^y = 8.

Two men invested ¢1,200,000 and ¢1,800,000 in a business. How should they share a profit of ¢300,000, if they agree to share it in proportion to their investments.

The graph shows the function f(x)=x² – 7x+10 for the interval -1≤x≤8.

The graph shows the function f(x)=x² – 7x+10 for the interval -1≤x≤8.

What is the equation of the axis of symmetry?

The graph shows the function f(x)=x² – 7x+10 for the interval -1≤x≤8.

Find the truth set of x² – 7x + 6 = 0

Calculate, correct to the nearest degree, the value of x in the triangle above.

What is the equation of the line which is parallel to the line y + 3x – 2 = 0 and which passes through the point (-1, 2)?

If x+6/x=5, find the value of x²+36/x²

In the diagram, PQRS is a circle with centre O. |QR| = |RS| and ∠ROQ = 50°.

If ∠QPS = x, find x.

Ama bought p cups of rice at x cedis per cup and q onions at 5 for ¢200.00. Find the total cost in cedis.

A boy cycles 7.5 kilometres to school in 27 1/2 minutes. Find his average speed in metres per seconds, correct to one decimal place.

Find the vector which translates the point (5, 4) to the point (2, 6).

Which of the following number lines illustrates the solution set of 3x + 5 ≥ – 1

If log₁₀ 3 = a and log₁₀ 7 = b, the value of log₁₀63 is ……………..

The exterior angle of a regular polygon is 40°. Find the sum of its interior angles.

P(2, 1) and Q(1, 2) are points in the plane. Find the bearing of F from Q.

The table gives the marks of 20 students in an examination.

Calculate the mean mark for the distribution.

The table gives the marks of 20 students in an examination.

Find the median mark for the distribution.

The table gives the marks of 20 students in an examination.

If a student is selected at random, find the probability that he obtained at least 7 marks.

The volume of a cone of height 10.5cm is 396cm³. Find the radius of the cone? [Take π = 22/7]

The mean of the numbers 3, 5, 3x and 2 is 4. Find x.

Which of the following is the image of (-2, 5) under the mapping

(x)  → (2y)
(y)  → (y − 2x)

A box contains 40 pens of equal size. 10 of them are green and 18 red. If a pen is chosen at random from the box, what is the probability that it is neither green nor red?

P and Q are two points, 6 cm apart. A point X moves in the same plane as P and Q, such that ∠ZPXQ = 90°. What is the locus of X?

The height of an isosceles triangle is 4 cm. Find the length of the base, if the other sides are 5 cm long.

A litre of petrol cost ¢550.00. The average fuel consumption of a car is 4.55 litres per 30 km. What is the cost of petrol for a journey of 150 km, to the nearest cedi?

The diagram above shows a sector of a circle centre 0 and radius 15 cm. The angle POB of the sector cut off from the circle is 60°. The remaining sector is folded to form a cone. Find the radius of the cone.

The diagram above shows a sector of a circle centre 0 and radius 15 cm. The angle POB of the sector cut off from the circle is 60°. The remaining sector is folded to form a cone.

Find the surface area of the cone.

In a class of 48 students, 30 of them offer Physics and 27 offer Biology. Each of the students offer at least one of the subjects. What is the probability that a student chosen at random offers only Biology?