Mathematics — 2024

Two brands of air conditioners S and T cost GH₵ 3,000.00 and GH₵ 4,000.00 respectively. A company budgeted GH₵ 20,000.00 to buy air conditioners. If the company bought 5 units of brand S instead of brand T , how much did it save?

Zalia and Amina shared an amount of money in the ratio 2 : 5. If Amina had GH₵ 150.00 more than Zalia, how much did they share?

Which of the following is an example of quantitative data?

Amadu walked to a point such that he is always the same distance from two villages P and Q .

A bag of rice weighs 2 kg. If the empty bag weights 150 g, find the weight of the rice.

Andrews drew three lines such that the length of the first one is 10 cm, the second is 15 cm longer than the first one and the third is 9 cm less than the second. Find the length of the third line.

Find the truth set of 2 x - 4 < 6 + 3 x .

The locus of points equidistant from a fixed point is called a

Evaluate: 75 + 18 - 27 .

A hawker is carrying a basket load of three types of fruits: oranges, mangoes and pears.

Araba is 3 years younger than her sister. If the sum of their ages is 17 years, find Araba's age.

A number of oranges are shared among 50 students and each got 15 oranges. If the same number of oranges are shared equally among 30 students, how many will each student get?

If the bearing of Q from P is 120°, find the bearing of P from Q .

Given the vectors m = ( 5 -1 ) and n = ( -4 2 ) , find 2 m + n .

Simplify: 27 m + 1 3 m + 2

There are 15 white and 25 black identical balls in a box. If a ball is selected at random from the box, find the probability that it is white.

The area of a rectangle is 18 cm 2 . If the width is 2 cm, find its perimeter.

Find the interest on GH₵ 400.00 for 2 years at 10% simple interest per annum.

One of the factors of the expression 4 m 2 + 12 m - 8 m - 24 is (4 m - 8). Find the other factor.

An article which cost GH₵ 600.00 was sold at a discount of 10%. Find the selling price.

Make m the subject of the relation 1 m = 1 p + 1 r .

The point P (-2, 3) is translated by a vector ( -1 3 ) to a point R . Find the coordinates R .

A frog leaps in such a way that its distance, in metres, from its starting position after each leap is given by 4, 7, 10, ...

A bus departed from Elmina at 9:15 pm and arrived in Accra at 2:45 am the next day.

Simplify: 3 x - 2(3 + 2 x ) + x (2 x + 4).

A fair coin and a fair die are rolled together once . Find the probability of obtaining a tail and an odd number.

If the gradient of a straight line is zero, then the line

Madam Nancy wants to know which of the teachers in her school is liked best by most of the students. Which of the following methods is most suitable for collecting the data?

Mensah packed 1,800 apples into a number of boxes. If each box contained 120 apples, how many boxes were fully packed?

The cost of three items at a shop are GH₵ 72.00, GH₵ 1,105.00 and GH₵ 216.00.

The table shows the results when a student tossed a die many times.

The table shows the results when a student tossed a die many times.

Find the image of the point (-3, 5) when it is rotated through 360° about the origin.

A story book contains 50 pages. If a student reads 10 pages per hour, find the relationship between the number of unread pages ( N ) and time ( t ).