WAEC Mathematics questions

364 questions with answers and explanations. Tap an option to check yourself.

All topics Binary operations · 13 Coordinate geometry · 20 Euclidean geometry · 26 Fractions, decimals, approximations and percentages · 29 Indices, logarithms and surds · 29 Inequalities · 17 Loci · 12 Mensuration · 27 Number bases · 24 Polynomials · 29 Probability · 23 Progressions · 22 Sets · 22 Statistics · 26 Trigonometry · 26 Variation · 19

Question 141· Loci· WAEC
A point P moves so that angle APB = 90°, where A and B are fixed points. The locus of P is
Explanation and discussion
Question 142· Loci· WAEC
Two boreholes P and Q are 100 m apart. A tap is to be placed the same distance from both. The possible positions of the tap lie on
Explanation and discussion
Question 143· Loci· WAEC
Points equidistant from two parallel lines 8 cm apart lie on
Explanation and discussion
Question 144· Loci· WAEC
The locus of points inside a circle of radius 5 cm that are 2 cm from its centre is
Explanation and discussion
Question 145· Loci· WAEC
The locus of points in space that are 3 cm from a fixed point P is
Explanation and discussion
Question 146· Loci· WAEC
A goat is tied to a peg by a rope 4 m long. The region it can graze is
Explanation and discussion
Question 147· Mensuration· WAEC
A circular track has a diameter of 70 m. One lap round it measures (π = 22/7)
Explanation and discussion
Question 148· Mensuration· WAEC
A cuboid measures 5 cm by 4 cm by 3 cm. Find its total surface area.
Explanation and discussion
Question 149· Mensuration· WAEC
Find the volume of a cylinder of radius 3.5 cm and height 10 cm. [π = 22/7]
Explanation and discussion
Question 150· Mensuration· WAEC
Find the area of a triangle with base 12 cm and height 7 cm.
Explanation and discussion
Question 151· Mensuration· WAEC
Find the area of a trapezium with parallel sides 6 cm and 10 cm and height 4 cm.
Explanation and discussion
Question 152· Mensuration· WAEC
Find the volume of a cylinder of radius 3 cm and height 7 cm. (Take π = 22/7)
Explanation and discussion
Question 153· Mensuration· WAEC
Find the total surface area of a cube of edge 5 cm.
Explanation and discussion
Question 154· Mensuration· WAEC
The volume of a cone of radius 3 cm and height 7 cm is (π = 22/7)
Explanation and discussion
Question 155· Mensuration· WAEC
Find the area of a parallelogram with base 9 cm and height 6 cm.
Explanation and discussion
Question 156· Mensuration· WAEC
Find the area of a sector of radius 6 cm and angle 60°, to one decimal place. (Take π = 22/7.)
Explanation and discussion
Question 157· Mensuration· WAEC
A rectangular tank 2 m by 1.5 m by 1 m is full of water. Its capacity in litres is
Explanation and discussion
Question 158· Mensuration· WAEC
Find the length of an arc that subtends 60° at the centre of a circle of radius 21 cm (π = 22/7).
Explanation and discussion
Question 159· Mensuration· WAEC
Find the circumference of a circle of radius 7 cm. (Take π = 22/7)
Explanation and discussion
Question 160· Mensuration· WAEC
Find the area of a rectangle 12 cm long and 7 cm wide.
Explanation and discussion

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WAEC Mathematics questions

A point P moves so that angle APB = 90°, where A and B are fixed points. The locus of P is

Two boreholes P and Q are 100 m apart. A tap is to be placed the same distance from both. The possible positions of the tap lie on

Points equidistant from two parallel lines 8 cm apart lie on

The locus of points inside a circle of radius 5 cm that are 2 cm from its centre is

The locus of points in space that are 3 cm from a fixed point P is

A goat is tied to a peg by a rope 4 m long. The region it can graze is

A circular track has a diameter of 70 m. One lap round it measures (π = 22/7)

A cuboid measures 5 cm by 4 cm by 3 cm. Find its total surface area.

Find the volume of a cylinder of radius 3.5 cm and height 10 cm. [π = 22/7]

Find the area of a triangle with base 12 cm and height 7 cm.

Find the area of a trapezium with parallel sides 6 cm and 10 cm and height 4 cm.

Find the volume of a cylinder of radius 3 cm and height 7 cm. (Take π = 22/7)

Find the total surface area of a cube of edge 5 cm.

The volume of a cone of radius 3 cm and height 7 cm is (π = 22/7)

Find the area of a parallelogram with base 9 cm and height 6 cm.

Find the area of a sector of radius 6 cm and angle 60°, to one decimal place. (Take π = 22/7.)

A rectangular tank 2 m by 1.5 m by 1 m is full of water. Its capacity in litres is

Find the length of an arc that subtends 60° at the centre of a circle of radius 21 cm (π = 22/7).

Find the circumference of a circle of radius 7 cm. (Take π = 22/7)

Find the area of a rectangle 12 cm long and 7 cm wide.