2018 WAEC SSCE Mathematics Past Questions

2018

If y + 2x = 4 and y - 3x = -1, find the value of (x + y)

2018

If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6

2018

If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.

2018

There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?

2018

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)

2018

Find the value of x for which \(32_{four} = 22_x\)

2018

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

2018

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

2018

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

2018

(a) Using a scale of 2cm to 2 units on both axes, draw on a sheet of graph paper two perpendicular axes 0x and 0y for - 10 \(\leq\) x \(\leq\) 10 and -10 \(\leq\) y \(\leq\)10(b) Given the points P(3, 2). Q(-1. 5). R(0.…

2018

A man starts from a point X and walk 285 m to Y on a bearing of 078\(^o\). He then walks due South to a point Z which is 307 m from X.(a) Illustrate the information on a diagram.(b) Find, correct to the nearest whole nu…

2018

A container, in the form of a cone resting on its vertex, is full when 4.158 litres of water is poured into it.(a) If the radius of its base is 21 cm,(i) represent the information in a diagram;(ii) calculate the height…

2018

The table shows the distribution of marks scored by students in a test.Mark(%)10 - 1920 - 2930 - 3940 - 4950 - 5960 - 6970 - 7980 - 8990 - 99Frequency4712182014942 (a) Construct a cumulative frequency table for the dist…

2018

Using a ruler and a pair of compasses only, construct:(a) (i) quadrilateral PQRS with |PQ| = 6 cm, |PS| = 8 cm, < PSR = 90\(^o\), |SR| = 12 cm and |QR| = 11 cm;(ii) perpendicular from Q to cut \(\overline{SR}\) at K.(…

2018

(a) (i) Copy and complete the addition \(\oplus\) and multiplication \(\otimes\) tables in modulo 5 on the set {2, 3, 4}.\(\oplus\)234234\(\otimes\)234234(ii) Use the tables to:(a) solve the equation 4 \(\otimes\)e\(\op…

2018

(a) Evaluate: \(\int \limits_1^2 (2x^3 - 4x + 3) dx\)(b) Given that P\(^{-1}\) = \(\begin{pmatrix} -1 & 1 \\ 4 & -3 \end{pmatrix}\), find the matrix P.

2018

a. A textbook company discovered that the profit made from selling its books is given by y = \(\frac{x^2}{8}\) + 5x, where x is the number of textbooks sold (in thousands) and y is the corresponding profit (in Ghana Ced…

2018

a. Find the range of values of x which satisfy the following inequalities simultaneously: 5 - x > 1 and 9 + x \(\geq\) 8In the diagram, O is the centre of the circle, IPQI = IQRI and < PSR = 56°. Find < QRS.

2018

In the diagram. PQR is an isosceles triangle. If the perimeter of the triangle is 28 cm, find the:a. values of x and y;b. lengths of the sides of the triangle.

2018

(a) The frequency distribution shows the range of prices of a brand of a car sold by a dealer and the corresponding quantity demanded. Price(N1,000,000.001.0 - 1.92.0 - 2.93.0 - 3.94.0 - 4.95.0 - 5.9Number of Vehicles23…

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2018 WAEC SSCE Mathematics Past Questions

If y + 2x = 4 and y - 3x = -1, find the value of (x + y)

If F = \(\frac{9}{5}\)C + 32, find C when F = 98.6

If \(\log_{10}\)(6x - 4) - \(\log_{10}\)2 = 1, solve for x.

There are 250 boys and 150 girls in a school, if 60% of the boys and 40% of the girls play football, what percentage of the school play football?

Simplify; 2\(\frac{1}{4} \times 3\frac{1}{2} \div 4 \frac{3}{8}\)

Find the value of x for which \(32_{four} = 22_x\)

Given that y varies inversely as the square of x. If x = 3 when y = 100, find the equation connecting x and y.

Evaluate: \((64^{\frac{1}{2}} + 125^{\frac{1}{3}})^2\)

Simplify: \(\sqrt{108} + \sqrt{125} - \sqrt{75}\)

(a) Using a scale of 2cm to 2 units on both axes, draw on a sheet of graph paper two perpendicular axes 0x and 0y for - 10 \(\leq\) x \(\leq\) 10 and -10 \(\leq\) y \(\leq\)10(b) Given the points P(3, 2). Q(-1. 5). R(0.…

A man starts from a point X and walk 285 m to Y on a bearing of 078\(^o\). He then walks due South to a point Z which is 307 m from X.(a) Illustrate the information on a diagram.(b) Find, correct to the nearest whole nu…

A container, in the form of a cone resting on its vertex, is full when 4.158 litres of water is poured into it.(a) If the radius of its base is 21 cm,(i) represent the information in a diagram;(ii) calculate the height…

The table shows the distribution of marks scored by students in a test.Mark(%)10 - 1920 - 2930 - 3940 - 4950 - 5960 - 6970 - 7980 - 8990 - 99Frequency4712182014942 (a) Construct a cumulative frequency table for the dist…

Using a ruler and a pair of compasses only, construct:(a) (i) quadrilateral PQRS with |PQ| = 6 cm, |PS| = 8 cm, &lt; PSR = 90\(^o\), |SR| = 12 cm and |QR| = 11 cm;(ii) perpendicular from Q to cut \(\overline{SR}\) at K.(…

(a) (i) Copy and complete the addition \(\oplus\) and multiplication \(\otimes\) tables in modulo 5 on the set {2, 3, 4}.\(\oplus\)234234\(\otimes\)234234(ii) Use the tables to:(a) solve the equation 4 \(\otimes\)e\(\op…

(a) Evaluate: \(\int \limits_1^2 (2x^3 - 4x + 3) dx\)(b) Given that P\(^{-1}\) = \(\begin{pmatrix} -1 &amp; 1 \\ 4 &amp; -3 \end{pmatrix}\), find the matrix P.

a. A textbook company discovered that the profit made from selling its books is given by y = \(\frac{x^2}{8}\) + 5x, where x is the number of textbooks sold (in thousands) and y is the corresponding profit (in Ghana Ced…

a. Find the range of values of x which satisfy the following inequalities simultaneously: 5 - x &gt; 1 and 9 + x \(\geq\) 8In the diagram, O is the centre of the circle, IPQI = IQRI and &lt; PSR = 56°. Find &lt; QRS.

In the diagram. PQR is an isosceles triangle. If the perimeter of the triangle is 28 cm, find the:a. values of x and y;b. lengths of the sides of the triangle.

(a) The frequency distribution shows the range of prices of a brand of a car sold by a dealer and the corresponding quantity demanded. Price(N1,000,000.001.0 - 1.92.0 - 2.93.0 - 3.94.0 - 4.95.0 - 5.9Number of Vehicles23…

Using a ruler and a pair of compasses only, construct:(a) (i) quadrilateral PQRS with |PQ| = 6 cm, |PS| = 8 cm, < PSR = 90\(^o\), |SR| = 12 cm and |QR| = 11 cm;(ii) perpendicular from Q to cut \(\overline{SR}\) at K.(…

(a) Evaluate: \(\int \limits_1^2 (2x^3 - 4x + 3) dx\)(b) Given that P\(^{-1}\) = \(\begin{pmatrix} -1 & 1 \\ 4 & -3 \end{pmatrix}\), find the matrix P.

a. Find the range of values of x which satisfy the following inequalities simultaneously: 5 - x > 1 and 9 + x \(\geq\) 8In the diagram, O is the centre of the circle, IPQI = IQRI and < PSR = 56°. Find < QRS.