1999 WAEC SSCE Mathematics Past Questions

1999

In the diagram, CDE is a triangle, ABEF is cyclic quadrilateral, AB||CD, ∠BAF = 65o and ∠AFE = 85o calculate ∠CDE.

1999

The sides of a right angle triangle in ascending order of magnitude are 8cm, (x-2)cm and x cm. Find x

1999

In the diagram, O is the centre of the circle ∠PQR = 75o, ∠OPS = yo and \(\bar{OR}\) is parallel to \(\bar{PS}\). Find y

1999

Which of the following statements is true from the diagram above?

1999

Describe the locus L shown in the diagram below.

1999

In the diagram, DE||BC, |AD| = x cm and |DB| = |AE| = ycm. Find |CE| in terms of x and y.

1999

A survey shows that 28% of all the men in a village wear a size 9 shoes. What i the probability that a man selected t random in the village wears size 9 shoes?

1999

The root of a quadratic equation in x, are -m and 2n. Find the equation

1999

If \(x^2 +15x + 50 = ax^2 + bx + c = 0\). Which of the following statement is not true?

1999

Which of the following pairs of inequalities is represented on the number line?

1999

Amina had m mangoes. she ate 3 and shared the remainder equally with her brother Uche. Each had at least 10. Which of the following inequalities represents the statements above.

1999

Water flows from a tap into cylindrical container at the rate 5πcm3 per second. If the radius of the container is 3cm, calculate the level of water in the container at the end of 9 seconds.

1999

The height and base if a triangle are in ratio 1:3 respectively. If the area of the triangle is 216cm2, find the length of the base.

1999

A car travel at x km per hour for 1 hour and at y k per hour for 2 hours. Find its average speed

1999

Two numbers 24 and 31 are equal in value when converted to base ten. Find the equation connecting x and y

1999

Simplify 3.72 x 0.025 and express your answer in the standard form

1999

The height of a pyramid on square base is 15cm. If the volume is 80cm3, find the length of the side of the base

1999

In the diagram, PQST and QRST are parallelograms. Calculate the area of the trapezium PRST.

1999

A pole of length L leans against a vertical wall so that it makes an angle of 60o with the horizontal ground. If the top of the pole is 8m above the ground, calculate L.

1999

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040o. What is the bearing of A from C?

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