BECE 2018 Mathematics (Maths) Paper 2 Essay

BECE PAST QUESTIONS AND ANSWERS

BECE 2018 MATHEMATICS

MATHS

ESSAY (Paper 2)

1. (a) Solve the inequality 5x – 3 ≥ 15x – 11 and represent the answer on the number line.

(c) The sides of a triangle are in the ratio 6 : 8 : 10, If the perimeter of the triangle is 288 cm, find the:
       (i) longest side;
      (ii) shortest side;
      (iii) difference between the longest and the shortest sides.

2. (a) An English textbook cost G 1\£ 25.00. The author of the book agreed to take 20 % of the cost of each book sold. If 1 ,702 copies were sold, calculate the author's share.

(b) Simplify: (²/₁₅ + ²/₅) + (⁹/₁₀x ⁴/₃) + (¹/₅ ÷ ¼)

In the diagram, |MN| = 13 cm, |MP| = 15 cm, |MS| = 12 cm and Line MS is perpendicular to line NP. Calculate length NP.

3. (a) Simplify 0.084 x 0.81, leaving the answer in standard form

0.024 x 0.04

(b) (i) Make r the subject of the relation: y = x – r .
x + r

(ii) From (b) (i), find the value of r when y = 3 and x = 10.

(c) Julie bought 1,756 kg of frozen chicken weigh, 675 g of vegetables, and 95 g of corn oil from a Shopping Mall? What is the total weight of the items she bought in kilograms?

4. (a) The sum of the interior angles of a regular polygon is 900°. Find the number of sides of the polygon.

(b) Using ruler and a pair of compasses only construct:

i. triangle XYZ such that the length AT= 10 cm ,

ii. angle XYZ = 30° and length YZ = 9 cm,

iii. perpendicular from Z to meet line XY at P.

(iv) Measure the:
(i ) length PZ
(ii) angle AZF.

Calculate, correct to the nearest whole number, the area of triangle XYZ

5.      (a) A property worth GH0 10,480.00 is shared between a widow and her 10 children in the ratio 1: 4 respectively. The children shared their portion equally. Find each child's share.

     (b) The data shows the distribution of marks in a class test
             27      55 19      65          69             46
             38            42          14              57          11 13
   14    67    22              10          25             17
             45            39          61              52          43             24
             28            63          56              49          64             32

Use the data to answer the following questions

(i)         make a Stem and Leaf plot of the data;
(ii)      how many students scored more than 10 marks and less than 20 marks?
(iii)     what is the probability of a student scoring less than 20 marks?

6. (a) An aeroplane left the Kotoka International Airport on Wednesday at 7.26 pm and readied its destination after nine hours thirty minutes. Find the day and the time the aeroplane reached its destination.

(b) (i) Using a scale of 2 cm to 2 units on both axes, draw two perpendicular axes OR and OY on graph sheet for -10 < x < 10 and -12 < y > 12.

(ii) Draw on this graph, indicating the co-ordinates of all vertices, the quadrilateral ADCD with vertices (0, 10), B(-6 ,-2), C(-3,-11), and D( 4, 3).

(iii) Draw the line = -2 to meet AB at P and CD at Q.

(iv) Measure angles BPQ and PQD.

   (v)    State the relationship between:
                  (α) angles BPQ and PQD;
               (α) lines AB and CD

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