waec model questions vol1 2018 mathematics | Objective

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Question 1 View Details
A researcher collected data on the heights of 50 students in a school. The mean height was found to be 160 cm, with a standard deviation of 10 cm. If the heights are normally distributed, what percentage of students are expected to have heights between 150 cm and 170 cm?
A. 72.15%
B. 60.50%
Correct C. 68.26%
D. 65.34%

Correct Answer: C

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Question 2 View Details
If y varies directly as x and inversely as the square of z, and y = 12 when x = 4 and z = 2, what is the value of y when x = 8 and z = 4?
Correct A. 6
B. 8
C. 10
D. 4

Correct Answer: A

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Question 3 View Details
The first term of an arithmetic sequence is 5 and the common difference is 3. What is the sum of the first 20 terms of this sequence?
A. 700
B. 620
Correct C. 670
D. 650

Correct Answer: C

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Question 4 View Details
What is the least common multiple (LCM) of 12, 15, and 20?
A. 30
B. 45
C. 75
Correct D. 60

Correct Answer: D

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Question 5 View Details
In a coordinate plane, the points A(2, 3), B(4, 7), and C(6, y) are collinear. What is the value of y?
A. 12
Correct B. 11
C. 10
D. 9

Correct Answer: B

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Question 6 View Details
A recipe requires 3/4 cup of sugar for every 2 cups of flour. If a baker wants to use 5 cups of flour, how much sugar will be needed?
A. 2.25
B. 1.5
C. 2.0
Correct D. 1.875

Correct Answer: D

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Question 7 View Details
A box contains 5 red balls, 3 blue balls, and 2 green balls. If one ball is drawn at random, what is the probability that it is either red or green?
Correct A. 0.7
B. 0.5
C. 0.8
D. 0.6

Correct Answer: A

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Question 8 View Details
If the number 432 is divided by a certain number, the quotient is 54. What is the divisor?
A. 10
B. 6
C. 12
Correct D. 8

Correct Answer: D

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Question 9 View Details
The graph of a linear equation passes through the points (2, 3) and (4, 7). What is the slope of the line?
Correct A. 2
B. 3
C. 4
D. 1

Correct Answer: A

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Question 10 View Details
The first term of an arithmetic sequence is 5, and the common difference is 3. What is the 10th term of the sequence?
A. 35
B. 29
Correct C. 32
D. 38

Correct Answer: C

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Question 11 View Details
If 2^x = 32 and 4^(x-1) = 16, what is the value of x?
A. 6
Correct B. 5
C. 3
D. 4

Correct Answer: B

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Question 12 View Details
In the coordinate plane, point A is located at (2, 3) and point B is at (5, 7). What is the midpoint M of line segment AB?
A. (3, 6)
Correct B. (3.5, 5)
C. (4, 5)
D. (2.5, 4)

Correct Answer: B

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Question 13 View Details
Solve the quadratic equation x^2 - 5x + 6 = 0. What are the roots of the equation?
A. 1 and 6
B. 2 and 4
Correct C. 2 and 3
D. 3 and 5

Correct Answer: C

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Question 14 View Details
If the expression 3x^2 - 12x + 9 is simplified, what is the factored form?
A. 3(x - 2)(x - 4)
B. 3(x - 1)(x + 3)
Correct C. 3(x - 1)(x - 3)
D. 3(x + 1)(x + 3)

Correct Answer: C

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Question 15 View Details
In a coordinate plane, the line passes through points (1, 2) and (3, 6). What is the slope of the line?
A. 3
Correct B. 2
C. 4
D. 1

Correct Answer: B

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Question 16 View Details
A cylindrical tank has a radius of 3 meters and a height of 5 meters. If water is filled to a height of 4 meters in the tank, calculate the volume of the water in the tank. Then, if the tank is to be filled to its full height, how much more water is needed in cubic meters?
A. 22.50
B. 30.00
Correct C. 28.27
D. 25.12

Correct Answer: C

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Question 17 View Details
In triangle ABC, angle A is 50 degrees, angle B is 60 degrees, and side a (opposite angle A) is 10 cm. Calculate the length of side b (opposite angle B) using the Law of Sines. Then, find the length of side c (opposite angle C) using the same law.
A. 10.00, 12.50
B. 9.80, 14.00
C. 12.00, 15.00
Correct D. 11.54, 13.31

Correct Answer: D

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Question 18 View Details
Solve the inequality 3x - 5 < 2x + 4. Then, represent the solution on a number line.
Correct A. x < 9
B. x < 10
C. x < 8
D. x < 7

Correct Answer: A

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Question 19 View Details
In a triangle, the lengths of two sides are 8 cm and 6 cm. If the angle between these two sides is 45 degrees, calculate the area of the triangle. Then, determine the length of the third side using the cosine rule.
A. 32.25, 6.00
B. 30.50, 4.00
C. 35.00, 5.50
Correct D. 33.94, 5.02

Correct Answer: D

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Question 20 View Details
A survey of 100 students showed that 60% of them prefer Mathematics, while 40% prefer English. If 10% of the students like both subjects, calculate the probability that a randomly selected student likes either Mathematics or English.
A. 0.6
B. 0.7
Correct C. 0.9
D. 0.8

Correct Answer: C

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Question 21 View Details
A quantity y varies directly as the square of x. If y = 50 when x = 5, what is the value of y when x = 8?
A. 150
Correct B. 128
C. 200
D. 100

Correct Answer: B

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Question 22 View Details
Solve the inequality 3x - 5 < 2x + 4 and express the solution in interval notation.
Correct A. (-∞, 9)
B. (-∞, 5)
C. (-∞, 8)
D. (-∞, 10)

Correct Answer: A

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Question 23 View Details
Two vectors A = 3i + 4j and B = 2i - j are given. Calculate the magnitude of the vector A + B and find the angle between A and B.
A. √38, cos^(-1)(1/(5√5))
Correct B. √34, cos^(-1)(2/(5√5))
C. √30, cos^(-1)(3/(5√5))
D. √32, cos^(-1)(4/(5√5))

Correct Answer: B

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Question 24 View Details
Simplify the expression (2x^2 - 3x + 4) - (x^2 + 5x - 2) and factor the result.
A. (x + 6)(x + 2)
Correct B. (x - 6)(x - 2)
C. (x - 4)(x - 3)
D. (x - 5)(x - 4)

Correct Answer: B

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Question 25 View Details
If y varies inversely as x and y = 12 when x = 3, find the value of y when x = 6.
A. 8
B. 4
C. 10
Correct D. 6

Correct Answer: D

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