1990 WAEC SSCE Mathematics Past Questions

1990

Express 0.00562 in standard form

1990

If 32x = 27, what is x?

1990

Simplify 125-1/3 x 49-1/2 x 100

1990

An aeroplane flies from a town P(lat. 40°N, 38°E) to another town Q(lat. 40°N, 22°W). It later flies to a third town T(28°N, 22°W). Calculate the :(a) distance between P and Q along their parallel of latitude ;(b) dista…

1990

In a class of 40 students, 25 speak Hausa, 16 speak Igbo, 21 speak Yoruba and each of the students speak at least one of the these three languages. If 8 speak Hausa and Igbo, 11 speak Hausa and Yoruba and 6 speak Igbo a…

1990

The following is an incomplete table for the relation \(y = 2x^{2} - 5x + 1\)x-3-2-1012345y81-126(a) Copy and complete the table.(b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 10 units on the y- axis, draw…

1990

(a) If a number is chosen at random from the integers 5 to 25 inclusive, find the probability that the number is a multiple of 5 or 3.(b) A bag contains 10 balls that differ only in colour; 4 are blue and 6 are red. Two…

1990

(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, < ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are t…

1990

The weights to the nearest kilogram, of a group of 50 students in a College of Technology are given below:65, 70, 60, 46, 51, 55, 59, 63, 68, 53, 47, 53, 72, 53, 67, 62, 64, 70, 57, 56, 73, 56, 48, 51, 58, 63, 65, 62, 4…

1990

(a) Find the volume of a right solid cone of base radius 4cm and perpendicular height 6cm. [\(\pi = 3.142\)](b) A hemispherical tank of diameter which is 10m is filled by water issuing from a pipe of radius 20cm at 2m p…

1990

The feet of two vertical poles of height 3m and 7m are in line with a point P on the ground, the smaller pole being between the taller pole and P and at a distance of 20m from P. The angle of elevation of the top (T) of…

1990

A carpenter was told to make a rectangular desk with top of dimension 50cm by 40cm. The carpenter actually made the desk 60cm by 35cm. (a) Calculate the percentage error in the (i) length and the breadth ; (ii) area of…

1990

(a) Prove that the sum of the angles in a triangle is 2 right angles.(b) The side AB of a triangle ABC is produced to a point D. The bisector of ACB cuts AB at E. Prove that < CAE + < CBD = 2 < CEB.

1990

Show on a graph, the area which gives the solution set of the inequalities: \(y - 2x \leq 4 ; 3y + x \geq 6 ; y \geq 7x - 9\).

1990

(a) Simplify \(\frac{0.016 \times 0.084}{0.48}\) [Leave your answer in standard form].(b) Eight wooden poles are to be used for pillars and the lengths of the poles form an Arithmetic Progression (A.P). If the second po…

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1990 WAEC SSCE Mathematics Past Questions

Express 0.00562 in standard form

If 32x = 27, what is x?

Simplify 125-1/3 x 49-1/2 x 100

An aeroplane flies from a town P(lat. 40°N, 38°E) to another town Q(lat. 40°N, 22°W). It later flies to a third town T(28°N, 22°W). Calculate the :(a) distance between P and Q along their parallel of latitude ;(b) dista…

In a class of 40 students, 25 speak Hausa, 16 speak Igbo, 21 speak Yoruba and each of the students speak at least one of the these three languages. If 8 speak Hausa and Igbo, 11 speak Hausa and Yoruba and 6 speak Igbo a…

The following is an incomplete table for the relation \(y = 2x^{2} - 5x + 1\)x-3-2-1012345y81-126(a) Copy and complete the table.(b) Using a scale of 2cm to 1 unit on the x- axis and 2cm to 10 units on the y- axis, draw…

(a) If a number is chosen at random from the integers 5 to 25 inclusive, find the probability that the number is a multiple of 5 or 3.(b) A bag contains 10 balls that differ only in colour; 4 are blue and 6 are red. Two…

(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, &lt; ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are t…

The weights to the nearest kilogram, of a group of 50 students in a College of Technology are given below:65, 70, 60, 46, 51, 55, 59, 63, 68, 53, 47, 53, 72, 53, 67, 62, 64, 70, 57, 56, 73, 56, 48, 51, 58, 63, 65, 62, 4…

(a) Find the volume of a right solid cone of base radius 4cm and perpendicular height 6cm. [\(\pi = 3.142\)](b) A hemispherical tank of diameter which is 10m is filled by water issuing from a pipe of radius 20cm at 2m p…

The feet of two vertical poles of height 3m and 7m are in line with a point P on the ground, the smaller pole being between the taller pole and P and at a distance of 20m from P. The angle of elevation of the top (T) of…

A carpenter was told to make a rectangular desk with top of dimension 50cm by 40cm. The carpenter actually made the desk 60cm by 35cm. (a) Calculate the percentage error in the (i) length and the breadth ; (ii) area of…

(a) Prove that the sum of the angles in a triangle is 2 right angles.(b) The side AB of a triangle ABC is produced to a point D. The bisector of ACB cuts AB at E. Prove that &lt; CAE + &lt; CBD = 2 &lt; CEB.

Show on a graph, the area which gives the solution set of the inequalities: \(y - 2x \leq 4 ; 3y + x \geq 6 ; y \geq 7x - 9\).

(a) Simplify \(\frac{0.016 \times 0.084}{0.48}\) [Leave your answer in standard form].(b) Eight wooden poles are to be used for pillars and the lengths of the poles form an Arithmetic Progression (A.P). If the second po…

(a) ABCD is a trapezium in which AB // DC, |AB| = 8cm, < ABC = 60°, |BC| = 5.5cm and |BD| = 8.3cm. Using a ruler and a pair of compasses only, construct:(i) the trapezium ABCD ; (ii) a rectangle PQCD, where P, Q are t…

(a) Prove that the sum of the angles in a triangle is 2 right angles.(b) The side AB of a triangle ABC is produced to a point D. The bisector of ACB cuts AB at E. Prove that < CAE + < CBD = 2 < CEB.