1999 WAEC SSCE Mathematics Past Questions

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1999

(a) Copy and complete the following table of values for $y = 9 \cos x + 5 \sin x$ to one decimal place.x0°30°60°90°120°150°180°210°y10.3-0.2-5.3-10.3(b) Using a scale of 2cm to 30° on the x- axis and 2 cm to 1 unit on…

1999

(a) A shop owner marked a shirt at a price to enable him to make a gain of 20%. During a special sales period, the shirt was sold at 10% reduction to a customer at N864.00. What was the original cost to the shop owner?(…

1999

On a graph sheet, using a scale of 2cm to 2 units on both axes, (a) Draw the straight line joining points P(-5, 3) and Q(2, 3);(b) construct the locus L of points equidistant from P and Q;(c) by construction, locate poi…

1999

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.(a) Find the cost when there are 44 pupils.(b) I…

1999

In the diagram, a ladder TF, 10 metres long is placed against a wall at an angle of 70° to the horizontal.(a) How high up the wall, correct to the nearest metre, does the ladder reach?(b) If the foot (F) of the ladder i…

1999

(a) Given that $\sin(A + B) = \sin A \cos B + \cos A \sin B$. Without using mathematical tables or calculator, evaluate $\sin 105^\circ$, leaving your answer in the surd form.(You may use \(105^\circ = 60^\circ + 45^…

1999

(a) A cylindrical pipe is 28 metres long. Its internal radius is 3.5 cm and external radius 5 cm. Calaulate : (i) the volume, in cm$^{3}$, of metal used in making the pipe ; (ii) the volume of water in litres that the…

1999

The table gives the frequency distribution of marks obtained by a group of students in a test.Marks345678Frequency5x - 1x941If the mean is 5,(a) Calculate the value of x;(b) Find the : (i) mode ; (ii) median of the distr…

1999

(a) Solve the simultaneous equations 3y - 2x = 21 ; 4y + 5x = 5.(b) Six identical cards numbered 1 - 6 are placed face down. A card is to be picked at random. A person wins $60.00 if he picks the card numbered 6. If he…

1999

In the diagram, ABCD is a trapezium in which $AD \parallel BC$ and $< ABC$ is a right angle. If |AD| = 15 cm, |BD| = 17 cm and |BC| = 9 cm, calculate :(a) |AB| ;(b) the area of the triangle BCD ;(c) |CD| ;(d) per…

1999

ABC is a triangle, right-angled at C. P is the mid-point of AC, < PBC = 37° and |BC| = 5 cm. Calculate : (a) |AC|, correct to 3 significant figures ;(b) < PBA.

1999

(a) If $\varepsilon$ is the set ${1, 2, 3,..., 19, 20}$ and A, B and C are subsets of $\varepsilon$ such that A = { multiples of five}, B = {multiples of four} and C = {multiples of three}, list the elements of (i…

1999

(a) Simplify $(\frac{4}{25})^{-\frac{1}{2}} \times 2^{4} \div (\frac{15}{2})^{-2}$(b) Evaluate $\log_{5} (\frac{3}{5}) + 3 \log_{5} (\frac{5}{2}) - \log_{5} (\frac{81}{8})$.

1999

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

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1999 WAEC SSCE Mathematics Past Questions

(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.x0°30°60°90°120°150°180°210°y10.3-0.2-5.3-10.3(b) Using a scale of 2cm to 30° on the x- axis and 2 cm to 1 unit on…

(a) A shop owner marked a shirt at a price to enable him to make a gain of 20%. During a special sales period, the shirt was sold at 10% reduction to a customer at N864.00. What was the original cost to the shop owner?(…

On a graph sheet, using a scale of 2cm to 2 units on both axes, (a) Draw the straight line joining points P(-5, 3) and Q(2, 3);(b) construct the locus L of points equidistant from P and Q;(c) by construction, locate poi…

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.(a) Find the cost when there are 44 pupils.(b) I…

In the diagram, a ladder TF, 10 metres long is placed against a wall at an angle of 70° to the horizontal.(a) How high up the wall, correct to the nearest metre, does the ladder reach?(b) If the foot (F) of the ladder i…

(a) Given that \(\sin(A + B) = \sin A \cos B + \cos A \sin B\). Without using mathematical tables or calculator, evaluate \(\sin 105^\circ\), leaving your answer in the surd form.(You may use \(105^\circ = 60^\circ + 45^…

(a) A cylindrical pipe is 28 metres long. Its internal radius is 3.5 cm and external radius 5 cm. Calaulate : (i) the volume, in cm\(^{3}\), of metal used in making the pipe ; (ii) the volume of water in litres that the…

The table gives the frequency distribution of marks obtained by a group of students in a test.Marks345678Frequency5x - 1x941If the mean is 5,(a) Calculate the value of x;(b) Find the : (i) mode ; (ii) median of the distr…

(a) Solve the simultaneous equations 3y - 2x = 21 ; 4y + 5x = 5.(b) Six identical cards numbered 1 - 6 are placed face down. A card is to be picked at random. A person wins $60.00 if he picks the card numbered 6. If he…

In the diagram, ABCD is a trapezium in which \(AD \parallel BC\) and \(< ABC\) is a right angle. If |AD| = 15 cm, |BD| = 17 cm and |BC| = 9 cm, calculate :(a) |AB| ;(b) the area of the triangle BCD ;(c) |CD| ;(d) per…

ABC is a triangle, right-angled at C. P is the mid-point of AC, < PBC = 37° and |BC| = 5 cm. Calculate : (a) |AC|, correct to 3 significant figures ;(b) < PBA.

(a) If \(\varepsilon\) is the set \({1, 2, 3,..., 19, 20}\) and A, B and C are subsets of \(\varepsilon\) such that A = { multiples of five}, B = {multiples of four} and C = {multiples of three}, list the elements of (i…

(a) Simplify \((\frac{4}{25})^{-\frac{1}{2}} \times 2^{4} \div (\frac{15}{2})^{-2}\)(b) Evaluate \(\log_{5} (\frac{3}{5}) + 3 \log_{5} (\frac{5}{2}) - \log_{5} (\frac{81}{8})\).

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

1999 WAEC SSCE Mathematics Past Questions

(a) Copy and complete the following table of values for \(y = 9 \cos x + 5 \sin x\) to one decimal place.x0°30°60°90°120°150°180°210°y10.3-0.2-5.3-10.3(b) Using a scale of 2cm to 30° on the x- axis and 2 cm to 1 unit on…

(a) A shop owner marked a shirt at a price to enable him to make a gain of 20%. During a special sales period, the shirt was sold at 10% reduction to a customer at N864.00. What was the original cost to the shop owner?(…

On a graph sheet, using a scale of 2cm to 2 units on both axes, (a) Draw the straight line joining points P(-5, 3) and Q(2, 3);(b) construct the locus L of points equidistant from P and Q;(c) by construction, locate poi…

The cost of maintaining a school is partly constant and partly varies as the number of pupils. With 50 pupils, the cost is $15,705.00 and with 40 pupils, it is $13,305.00.(a) Find the cost when there are 44 pupils.(b) I…

In the diagram, a ladder TF, 10 metres long is placed against a wall at an angle of 70° to the horizontal.(a) How high up the wall, correct to the nearest metre, does the ladder reach?(b) If the foot (F) of the ladder i…

(a) Given that \(\sin(A + B) = \sin A \cos B + \cos A \sin B\). Without using mathematical tables or calculator, evaluate \(\sin 105^\circ\), leaving your answer in the surd form.(You may use \(105^\circ = 60^\circ + 45^…

(a) A cylindrical pipe is 28 metres long. Its internal radius is 3.5 cm and external radius 5 cm. Calaulate : (i) the volume, in cm\(^{3}\), of metal used in making the pipe ; (ii) the volume of water in litres that the…

The table gives the frequency distribution of marks obtained by a group of students in a test.Marks345678Frequency5x - 1x941If the mean is 5,(a) Calculate the value of x;(b) Find the : (i) mode ; (ii) median of the distr…

(a) Solve the simultaneous equations 3y - 2x = 21 ; 4y + 5x = 5.(b) Six identical cards numbered 1 - 6 are placed face down. A card is to be picked at random. A person wins $60.00 if he picks the card numbered 6. If he…

In the diagram, ABCD is a trapezium in which \(AD \parallel BC\) and \(&lt; ABC\) is a right angle. If |AD| = 15 cm, |BD| = 17 cm and |BC| = 9 cm, calculate :(a) |AB| ;(b) the area of the triangle BCD ;(c) |CD| ;(d) per…

ABC is a triangle, right-angled at C. P is the mid-point of AC, &lt; PBC = 37° and |BC| = 5 cm. Calculate : (a) |AC|, correct to 3 significant figures ;(b) &lt; PBA.

(a) If \(\varepsilon\) is the set \({1, 2, 3,..., 19, 20}\) and A, B and C are subsets of \(\varepsilon\) such that A = { multiples of five}, B = {multiples of four} and C = {multiples of three}, list the elements of (i…

(a) Simplify \((\frac{4}{25})^{-\frac{1}{2}} \times 2^{4} \div (\frac{15}{2})^{-2}\)(b) Evaluate \(\log_{5} (\frac{3}{5}) + 3 \log_{5} (\frac{5}{2}) - \log_{5} (\frac{81}{8})\).

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

In the diagram, ABCD is a trapezium in which \(AD \parallel BC\) and \(< ABC\) is a right angle. If |AD| = 15 cm, |BD| = 17 cm and |BC| = 9 cm, calculate :(a) |AB| ;(b) the area of the triangle BCD ;(c) |CD| ;(d) per…

ABC is a triangle, right-angled at C. P is the mid-point of AC, < PBC = 37° and |BC| = 5 cm. Calculate : (a) |AC|, correct to 3 significant figures ;(b) < PBA.