1988 WAEC SSCE Mathematics Past Questions

1988

The table below shows the frequency distribution of the marks of 800 candidates in an examination.Marks0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Freq104080140170130100704020(a) (i) Construct a cumulative frequency…

1988

Using a ruler and a pair of compasses only, (a) construct (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and < CAB = 120° ; (ii) the locus \(L_{1}\) of points equidistant from A and B ; (iii) the locus \(L_{2}…

1988

(a) Prove that the sum of the angles in a triangle is two right angles.(b) In a triangle LMN, the side NM is produced to P and the bisector of < LNP meets ML produced at Q. If < LMN = 46°, and < MLN = 80°, calc…

1988

Two towns K and Q are on the parallel of latitude 46°N. The longitude of town K is 130°W and that of town Q is 103°W. A third town P also on latitude 46°N is on longitude 23°E, Calculate:(i) the length of the parallel o…

1988

The table below is for the relation \(y = 2 + x - x^{2}\)x-2-1.5-1-0.500.511.522.53y-4-1.7501.2522.2521.250-1.75-4(a) Using a scale of 2cm to 1 unit on each axis, draw the graph of the relation in the interval \(-2 \leq…

1988

Illustrate the following on graph paper and shade the region which satisfies all the three inequalities at the same time :\(- x + 5y \leq 10 ; 3x - 4y \leq 8\) and \(x > -1\).

1988

(a) The subsets A, B and C of a universal set are defined as follows :A = {m, a, p, e} ; B = {a, e, i, o, u} ; C = {l, m, n, o, p, q, r, s, t, u}. List the elements of the following sets.(i) \(A \cup B\) ; (ii) \(A \cup…

1988

A sector of a circle of radius 7cm subtending an angle of 270° at the centre of the circle is used to form a cone.(a) Find the base radius of the cone.(b) Calculate the area of the base of the cone to the nearest square…

1988

In a certain school, the lesson periods for each week are as itemised below: English 10, Mathematics 7, Biology 3, Statistics 4, Ibo 3, others 9. Draw a pie chart to illustrate this information.

1988

(a) Given that \(\sin \alpha = 0.3907\), use tables to find the value of : (i) \(\tan \alpha\) ; (ii) \(\cos \alpha\).(b) A ladder of length 4.5m leans against a vertical wall making an angle of 50° with the horizontal…

1988

In the diagram, < PQR = < PSQ = 90°, |PS| = 9 cm, |SR| = 16 cm and |SQ| = x cm.(a) Find the value of x using a trigonometric ratio.(b) Calculate : (i) the size of < QRS to the nearest degree; (ii) |PQ|.

1988

The number of items produced by a company over a five- year period is given below:Year19781979198019811982No produced41002500150018009200(i) Plot a bar chart for this information; (ii) What is the average production for…

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1988 WAEC SSCE Mathematics Past Questions

The table below shows the frequency distribution of the marks of 800 candidates in an examination.Marks0-910-1920-2930-3940-4950-5960-6970-7980-8990-99Freq104080140170130100704020(a) (i) Construct a cumulative frequency…

Using a ruler and a pair of compasses only, (a) construct (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and &lt; CAB = 120° ; (ii) the locus \(L_{1}\) of points equidistant from A and B ; (iii) the locus \(L_{2}…

(a) Prove that the sum of the angles in a triangle is two right angles.(b) In a triangle LMN, the side NM is produced to P and the bisector of &lt; LNP meets ML produced at Q. If &lt; LMN = 46°, and &lt; MLN = 80°, calc…

Two towns K and Q are on the parallel of latitude 46°N. The longitude of town K is 130°W and that of town Q is 103°W. A third town P also on latitude 46°N is on longitude 23°E, Calculate:(i) the length of the parallel o…

The table below is for the relation \(y = 2 + x - x^{2}\)x-2-1.5-1-0.500.511.522.53y-4-1.7501.2522.2521.250-1.75-4(a) Using a scale of 2cm to 1 unit on each axis, draw the graph of the relation in the interval \(-2 \leq…

Illustrate the following on graph paper and shade the region which satisfies all the three inequalities at the same time :\(- x + 5y \leq 10 ; 3x - 4y \leq 8\) and \(x &gt; -1\).

(a) The subsets A, B and C of a universal set are defined as follows :A = {m, a, p, e} ; B = {a, e, i, o, u} ; C = {l, m, n, o, p, q, r, s, t, u}. List the elements of the following sets.(i) \(A \cup B\) ; (ii) \(A \cup…

A sector of a circle of radius 7cm subtending an angle of 270° at the centre of the circle is used to form a cone.(a) Find the base radius of the cone.(b) Calculate the area of the base of the cone to the nearest square…

In a certain school, the lesson periods for each week are as itemised below: English 10, Mathematics 7, Biology 3, Statistics 4, Ibo 3, others 9. Draw a pie chart to illustrate this information.

(a) Given that \(\sin \alpha = 0.3907\), use tables to find the value of : (i) \(\tan \alpha\) ; (ii) \(\cos \alpha\).(b) A ladder of length 4.5m leans against a vertical wall making an angle of 50° with the horizontal…

In the diagram, &lt; PQR = &lt; PSQ = 90°, |PS| = 9 cm, |SR| = 16 cm and |SQ| = x cm.(a) Find the value of x using a trigonometric ratio.(b) Calculate : (i) the size of &lt; QRS to the nearest degree; (ii) |PQ|.

The number of items produced by a company over a five- year period is given below:Year19781979198019811982No produced41002500150018009200(i) Plot a bar chart for this information; (ii) What is the average production for…

Using a ruler and a pair of compasses only, (a) construct (i) a triangle ABC such that |AB| = 5cm, |AC| = 7.5cm and < CAB = 120° ; (ii) the locus \(L_{1}\) of points equidistant from A and B ; (iii) the locus \(L_{2}…

(a) Prove that the sum of the angles in a triangle is two right angles.(b) In a triangle LMN, the side NM is produced to P and the bisector of < LNP meets ML produced at Q. If < LMN = 46°, and < MLN = 80°, calc…

Illustrate the following on graph paper and shade the region which satisfies all the three inequalities at the same time :\(- x + 5y \leq 10 ; 3x - 4y \leq 8\) and \(x > -1\).

In the diagram, < PQR = < PSQ = 90°, |PS| = 9 cm, |SR| = 16 cm and |SQ| = x cm.(a) Find the value of x using a trigonometric ratio.(b) Calculate : (i) the size of < QRS to the nearest degree; (ii) |PQ|.