2024 BECE MATHEMATICS OBJECTIVES (MMGCS)

The diagram shows the graph of a linear relation of the form

Use the graph to answer question.

Find the slope of the relation.

Make m the subject of the relation

The diagram shows the graph of a linear relation of the form

Use the graph to answer question.

Find the equation of the relation.

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?

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?

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, …
Find its distance from the starting position after the 10th leap.

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?

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.

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

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

If 2/5 of the fruits are oranges and 6/25 mangoes, what percentage of the fruits are pears?

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).

The point P(–2, 3) is translated by a vector

to a point R. Find the coordinates of R.

The cost of three items at a shop are GH₵ 72.00, GH₵ 1,105.00 and GH₵ 216.00.
If a customer bought all the three items and received a change of GH₵ 107.00, how much did he initially give the shopkeeper?

(Diagram of triangle PQR with ∠QPR = 30° and QR = 5 cm. Take sin 30° = 1/2.)

Find the length of PQ.

(Diagram showing P, Q, S, T with angles 35° and 140°; PQ parallel to ST)

In the diagram, line PQ is parallel to line ST. Find the value of the angle marked x.

In the diagram, P and Q are two sets and U is the universal set.

Use the information to answer question.

.

Find the truth set of 2x – 4< 6 + 3x

(Diagram showing P, Q, S, T with angles 35° and 140°; PQ parallel to ST)

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

In the diagram, P and Q are two sets and U is the universal set.

Use the information to answer question.

How many members are in set Q?

Evaluate:

The table shows the results when a student tossed a die many times.
Use the information to answer question.

Find the mode.

Amadu walked to a point such that he is always the same distance from two villages P and Q.
Which of the following best describes the locus of Amadu?

Find the other factor.

How many times did the student throw the die?

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

Given the vectors

find

Simplify:

Which of the following is an example of quantitative data?

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

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

The area of a rectangle is 18 cm². If the width is 2 cm, find its perimeter.

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

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.

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

Simplify:

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?

A bus departed from Elmina at 9:15 pm and arrived in Accra at 2:45 am the next day.
How long did the journey take?

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

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

A bag of rice weighs 2 kg. If the empty bag weighs 150 g, find the weight of the rice.
(1 kg = 1,000 g)