2024 BECE MATHEMATICS ESSAY (MMGCS)
Answer four questions only
All questions carry equal marks.
All working must be clearly shown. Marks will not be awarded for correct answers without corresponding working.
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1. Question
Question 1.
(a) A fair die and a fair coin are thrown together once.
(i)Write down the set of all possible outcomes.(ii) Find the probability of obtaining a prime number and a tail.
(b) The map of a field is drawn to a scale of 1 : 100. If the width and area of the field on the map are 8 cm and 88 cm² respectively, find in m², the area of the actual field.
(c) Copy and complete the 3 × 3 magic square such that the sum of the numbers in each row, column and diagonal is equal to 21.
Question 2
(a)
Find the values of m and n
(b) A man shared an amount of money between his children Baaba and William in the ratio 6 : 5. Baaba received GH¢1,200.00.
(i) Find the total amount shared.
(ii) William invested his share in an account at the rate of 20% simple interest per annum for 2 years. Find the total amount in his account at the end of the 2 years.Question 3
(a) Simplify:
(b) A wire of length 38 cm is bent into the shape of a rectangle whose length is 7 cm more than the width. Find the area of the rectangle.
(c) If 15% of the length of a rope is 720 metres, find half of the length of the rope.
Question 4
(a)(i) Using a ruler and a pair of compasses only, construct ∆PQR such that angle PQR = 90°,
|PQ| = 5.5 cm and |QR| = 8 cm.(ii) Construct a perpendicular of PR from Q.
(c) Locate M, the intersection of the perpendicular and PR.
(d) Measure :
(i) |MR|
(ii) |QM| .(e) Calculate, correct to the nearest whole number, the area of triangle QMR.
Question 5
(a) In the diagram, ∆PQR is an enlargement of ∆PST. |PS| = 4 cm, |QS| = 2 cm and
|QR| = 10 cm.
(i) Find the length of ST.
(ii) If |PQ − PR|, find the area of ∆PQR.(b) The total area of a school compound is 900 m². The school has Administration and
Classroom block, Library, School Park, Roads and Walkways. The areas of the
Administration and Classroom block, Library and School Park are 300 m², 200 m²,
and 120 m² respectively. Find the area covered by Roads and Walkways altogether.Question 6
(a) Copy and complete the table for the relation .
where F and C are degrees Fahrenheit and degrees Celsius respectively.
(b) Using a scale of 2 cm to 10 units on the vertical axis (°F) and 2 cm to 5 units on the
horizontal axis (°C), draw a linear graph for the relation.(c) Use the graph to find the temperature in degrees Celsius when F = 55 degrees.
(d) Interpret the slope of the relation.
END OF ESSAY TEST
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