WAEC questions and answers on mathematics 2016

This article presents a collection of WAEC mathematics questions and answers from the 2016 exams. Each question is answered in detail, providing students with a useful resource for their preparation. The questions cover a variety of topics, ensuring a thorough review of the subject.

Mathematics Questions and Answers for WAEC 2016

Question 1
What is the value of x in the equation 2x + 5 = 13?

Answer 1
x = 4

Question 2
Find the area of a triangle with base 10 cm and height 6 cm.

Answer 2
Area = (1/2) * base * height = (1/2) * 10 * 6 = 30 cm²

Question 3
Simplify the expression 3a + 5a – 2a.

Answer 3
6a

Question 4
What is the perimeter of a rectangle with length 12 cm and width 7 cm?

Answer 4
Perimeter = 2 * (length + width) = 2 * (12 + 7) = 38 cm

Question 5
Solve for y in the equation 3y – 4 = 11.

Answer 5
y = 5

Question 6
Factorize the expression x² – 6x + 9.

Answer 6
(x – 3)²

Question 7
What is the value of x in the equation 5x + 3 = 2x + 15?

Answer 7
x = 4

Question 8
Find the volume of a cylinder with radius 5 cm and height 10 cm.

Answer 8
Volume = πr²h = π * 5² * 10 = 250π cm³

Question 9
If the sides of a square are 8 cm, what is its area?

Answer 9
Area = side² = 8² = 64 cm²

Question 10
Solve the quadratic equation x² – 5x + 6 = 0.

Answer 10
x = 2 or x = 3

Question 11
What is the slope of the line passing through the points (2, 3) and (4, 7)?

Answer 11
Slope = (y₂ – y₁) / (x₂ – x₁) = (7 – 3) / (4 – 2) = 4/2 = 2

Question 12
What is the value of π to two decimal places?

Answer 12
π ≈ 3.14

Question 13
Simplify the expression 2(3x + 4) – 5x.

Answer 13
6x + 8 – 5x = x + 8

Question 14
Find the roots of the equation x² – 9 = 0.

Answer 14
x = 3 or x = -3

Question 15
If a right-angled triangle has legs of lengths 6 cm and 8 cm, what is the length of the hypotenuse?

Answer 15
Hypotenuse = √(6² + 8²) = √(36 + 64) = √100 = 10 cm

Question 16
What is the mean of the numbers 4, 7, 9, and 12?

Answer 16
Mean = (4 + 7 + 9 + 12) / 4 = 32 / 4 = 8

Question 17
Find the roots of the equation 2x² – 4x – 6 = 0.

Answer 17
x = 3 or x = -1

Question 18
Simplify the expression 4(x – 2) + 3x.

Answer 18
4x – 8 + 3x = 7x – 8

Question 19
If a circle has a radius of 7 cm, what is its area?

Answer 19
Area = πr² = π * 7² = 49π cm²

Question 20
Solve the inequality 2x – 5 > 3.

Answer 20
x > 4

Question 21
Find the value of y when x = 3 in the equation y = 2x + 1.

Answer 21
y = 7

Question 22
What is the value of 4³?

Answer 22
4³ = 64

Question 23
A car travels at 60 km/h for 2 hours. How far does it travel?

Answer 23
Distance = speed * time = 60 * 2 = 120 km

Question 24
Simplify the expression 5x + 4 – 3x + 2.

Answer 24
2x + 6

Question 25
Find the area of a trapezium with parallel sides 8 cm and 12 cm, and height 6 cm.

Answer 25
Area = (1/2) * (sum of parallel sides) * height = (1/2) * (8 + 12) * 6 = 60 cm²

Question 26
Find the value of x if 5(x + 2) = 30.

Answer 26
x = 4

Question 27
Find the sum of the interior angles of a hexagon.

Answer 27
Sum of interior angles = (n – 2) * 180° = (6 – 2) * 180° = 720°

Question 28
What is the value of x in the equation 3x – 2 = 4x + 6?

Answer 28
x = -8

Question 29
Find the length of a diagonal in a rectangle with length 6 cm and width 8 cm.

Answer 29
Diagonal = √(6² + 8²) = √(36 + 64) = √100 = 10 cm

Question 30
Solve for x in the equation 4(x – 5) = 3(x + 2).

Answer 30
x = 23

Question 31
What is the perimeter of a square with side 4 cm?

Answer 31
Perimeter = 4 * side = 4 * 4 = 16 cm

Question 32
Simplify the expression (2x + 3)(x – 4).

Answer 32
2x² – 8x + 3x – 12 = 2x² – 5x – 12

Question 33
If the cost of 5 books is 1000 naira, what is the cost of one book?

Answer 33
Cost of one book = 1000 / 5 = 200 naira

Question 34
Simplify 4/5 + 1/3.

Answer 34
4/5 + 1/3 = 12/15 + 5/15 = 17/15

Question 35
Find the volume of a cube with side length 4 cm.

Answer 35
Volume = side³ = 4³ = 64 cm³

Question 36
What is the median of the numbers 5, 8, 2, 6, and 7?

Answer 36
Median = 6 (since it is the middle number when arranged in order)

Question 37
Solve for x in the equation 2x + 3 = 5x – 6.

Answer 37
x = 3

Question 38
What is the value of the expression (3x + 2y) when x = 2 and y = 4?

Answer 38
(3 * 2) + (2 * 4) = 6 + 8 = 14

Question 39
What is the circumference of a circle with a radius of 5 cm?

Answer 39
Circumference = 2πr = 2 * π * 5 = 10π cm

Question 40
If the price of 3 pens is 600 naira, what is the price of 1 pen?

Answer 40
Price of 1 pen = 600 / 3 = 200 naira

Question 41
What is the square root of 144?

Answer 41
√144 = 12

Question 42
Find the sum of the first 10 even numbers.

Answer 42
Sum = 2 + 4 + 6 + … + 20 = 110

Question 43
Find the perimeter of a triangle with sides 7 cm, 5 cm, and 8 cm.

Answer 43
Perimeter = 7 + 5 + 8 = 20 cm

Question 44
What is the value of x in the equation 2x – 7 = 3x + 5?

Answer 44
x = -12

Question 45
What is the area of a circle with a diameter of 14 cm?

Answer 45
Radius = 14 / 2 = 7 cm
Area = πr² = π * 7² = 49π cm²

Question 46
Find the volume of a sphere with radius 6 cm.

Answer 46
Volume = (4/3)πr³ = (4/3) * π * 6³ = 904.32 cm³

Question 47
What is the value of 2⁴?

Answer 47
2⁴ = 16

Question 48
Solve for x in the equation 6x – 9 = 3x + 12.

Answer 48
x = 7

Question 49
Find the sum of the angles in a quadrilateral.

Answer 49
Sum of angles = 360°

Question 50
What is the area of a rectangle with length 15 cm and width 10 cm?

Answer 50
Area = length * width = 15 * 10 = 150 cm²

By practicing with these WAEC mathematics questions and answers, students can significantly improve their exam readiness. Regular practice will help in mastering key topics, and understanding the solution steps will boost confidence for tackling the actual exam.