The set A = {x: 1 ≤ x ≤ 3 } and B= {x: x= 1, 10} are subset of U= {x: 1 ≤ x ≤ l0}, where x is an integer. Find B’, the complement of B.

The set A = {x: 1 ≤ x ≤ 3 } and B= {x: x= 1, 10} are subset of U= {x: 1 ≤ x ≤ l0}, where x is an integer. Find B’, the complement of B. Find A ∩ B.

Multiply 3.6 x 10^-2 by 10⁴ by 9.5 x 10 and leave your answer in standard’ form.

Find the truth set of the inequality 3x + 8 < 5x – 8.

Expand (2x – y)(2x +y).

What is the gradient of the joining the points P(5, 6) and Q(6, 4)?

Solve the equation n ⊗ (n ⊗ 4) =1

Evaluate (4 ⊕ 4) ⊗ 5

Find n,if n ⊗ (n ⊕ 3) = 3

Simplify √98 – √50 + √18

Find the truth set of x² + 3x -10 = 0

Make y the subject of the relation x = ay/b + c.

Write 37_ten as a number in base five.

Find the number whose log is  ¯2 6021

The bearing of a point A from another point B is 079°. Find the bearing of B from A.

A man bought a car for 8.5 million cedis and later sold it for 9.5 million cedis. Find his percentage gain.

Evaluate:

Find  2u – 4s + t.

Which of the following is the definition of a prism?

Which of the following number lines represents the solution of 2x + 1 > 2?

Arrange the following numbers in ascending order of magnitude: 21_eight, 25_seven, 30_six

Solve the equation:

Given that 25^x = 1, find x.

A bag contains 12 good oranges and 9 bad oranges. If an orange is picked at random from the bag, what is the probability that it is a good orange?

Find the value of x in the diagram

Simplify 1/3 + k/3 + k²/12

If log₁₀ 3 = a and log₁₀ 5 = b, write down, in terms of a and b, the value of log₁₀ 75.

P varies directly as the square of q and inversely as r. Express P in terms of q, r and k where k is a constant.

The table below shows the distribution of marks obtained by thirty pupils in a test.

What is the mode of distribution?

The table below shows the distribution of marks obtained by thirty pupils in a test.

Find the mean of the distribution.

The table below shows the distribution of marks obtained by thirty pupils in a test.

If a pupil is chosen at random from the group, what is the probability that he obtained a mark greater than 5?

Factorise completely 9x² y − 25yz²

The quadrilateral A₁B₁C₁D₁ is an enlargement of quadrilateral ABCD with scale factor 3 from the origin. If the area of A₁ B₁ C₁ D₁ is 180 cm2, find the area of ABCD.

In the diagram, AB is parallel to CD, ∠BAE = 30°, ∠AEC = 70° and ∠ECD = m°. Find m.

The dimensions of a water tank in the form of a cuboid are 60 cm by 15 cm by 20 cm. Find the capacity of the tank in litres.

Find the median of the numbers 22, 41, 35, 63, 82 and 74.

Find the image of the point P(−12, 4), under the reflection in the line y = −3.

Solve the following simultaneous equations: x—4y = 1, 2x + 5y=15.

Two points K(5, -2) and M(4, -3) lie on a straight line. Find |KM|

Find the value of a³ − 3ab − b², when a = −2 and b=2.

The point P(3, −1) is rotated about the origin through an angle 270° in a clockwise direction. Find the image of P.

Given that 3(14_x) = 45_x, find the value of x.

A trader sold 100 boxes of fruit at ¢8,000.00 per box, 800 boxes at ¢6,000.00 per box and 600 boxes at ¢4,000.00 per box. Find the average selling price per box.

In an examination Ama scored 80% in Mathematics 60% in Science and x% in English. If her mean mark for the subjects was 65%, find x.

A cliff is 102 m high. From the top of the cliff angle of depression of a boat is 27°. Find the distance of the boat from the foot of the cliff.

In the diagram above, XY represents a street lamp. ST represents a boy standing 6 m away from the street lamp. TZ is the shadow of the boy cast by the street lamp. The height of the boy is 1.5 m and the streetlight is 4.5 m high.

Find |TZ|

In the diagram above, XY represents a street lamp. ST represents a boy standing 6 m away from the street lamp. TZ is the shadow of the boy cast by the street lamp. The height of the boy is 1.5 m and the streetlight is 4.5 m high.

Find the angle of elevation of the top of street lamp correct to the nearest degree.

Find |TZ|