Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 111
waec 2023

 In the diagram above, O is the centre of a circle NST. |NT| = |ST| and ∠NTS = 36°. Find the measure of the angle marked t.

A\(72^0\)
B\(54^0\)
C\(36^0\)
D\(108^0\)
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Question 112
waec 2023

The length of the diagonal of a square is 12 cm. Calculate the area of the square.

A\(36 cm^2\)
B\(48 cm^2\)
C\(72 cm^2\)
D\(18 cm^2\)
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Question 113
waec 2023

Find the quadratic equation whose roots are \(\frac{2}{3} and \frac{- 3}{4}\)

A\(12y^2 - y - 6 = 0\)
B\(12y^2 - y + 6 = 0\)
C\(12y^2 + y - 6 = 0\)
D\(y^2 + y - 6 = 0\)
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Question 114
waec 2023

Solve: \(log_3 x + log_3 (x - 8) = 2\)

A8
B6
C9
D7
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Question 115
waec 2023

In the diagram, NR is a diameter, ∠MNR = x° and, ∠SRN = (5x + 20)°. Find the value of 2x.

A\(42^0\)
B\(35^0\)
C\(20^0\)
D\(90^0\)
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Question 116
waec 2023

The price of a shoe was decreased by 22%. If the new price is $27.3. what is the original price.

A$62.30
B$42.30
C$72.00
D$35.00
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Question 117
waec 2023

Write the name of a triangle with the vertices (1, -3), (6, 2) and (0,4)?

AScalene triangle
BIsosceles triangle
CRight -angle triangle
DEquilateral triangle
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Question 118
waec 2023

Consider the statements:
p: Siah is from Foya.
q: Foya is in Lofa.
Write in symbolic for the statement: "If Siah is from Foya, then Foya is in Lofa"

A~q ⇔ p
Bq ⇒ p
Cp ⇒ q
Dp ⇔ q
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Question 119
waec 2023

Mrs Kebeh stands at a distance of 110 m away from a building of vertical height 58 m. If Kebeh is 2 m tall, find the angle of elevation of the top of the building from her eye.

A\(27^0\)
B\(28^0\)
C\(20^0\)
D\(26^0\)
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Question 120
waec 2023

An equilateral triangle has a side 2 cm. Calculate the height of the triangle.

A5cm
B\(\sqrt5\)cm
C3cm
D\(\sqrt{ 3}\)cm
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Question 121
waec 2023

Factorize completely: \(x^2 - (y + z)^2\)

A(x - y - z)(x - y - z)
B(x + y + z)(x - y - z)
C(x + y + z)(x + y - z)
D(x + y - z)(x - y + z)
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Question 122
waec 2023

How many students scored at least 3 marks?

A44
B52
C38
D18
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Question 123
waec 2023

What percentage of the students scored at most 5 marks?

A58.5%
B63.2%
C38.3%
D41.5%
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Question 124
waec 2023

The bar chart represents the distribution of marks scored by students in an economics examination. Use the bar chart to answer questions 30 to 32

If the failed mark was 4, what is the probability that a student selected at random passed?

A0.36
B0.74
C0.52
D0.64
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Question 125
waec 2023

The truth set of \(8 + 2x - x^2\) = 0 is {p, q}. Evaluate p + q.

A4
B2
C-6
D-2
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Question 126
waec 2023

A bag contains 4 white marbles and 3 blue marbles. Another bag contains 5 red and 6 blue marbles. If a marble is picked at random from each bag, find the probability that they are of the same colour.

A\(\frac{9}{11}\)
B\(\frac{18}{77}\)
C\(\frac{1}{2}\)
D\(\frac{11}{12}\)
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Question 127
waec 2023

A line L passing through the point (6, -13) is parallel to the line which passes through (7, 4) and (-3, 9). Find the equation of the line L.

Ay = \(\frac{1}{2}x - 10\)
By = \(\frac{-1}{2}x + 10\)
Cy = \(\frac{-1}{2}x - 10\)
Dy = \(\frac{1}{2}x +10\)
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Question 128
waec 2023

John was facing S35°E. If he turned 90° in the anticlockwise direction, find his new direction.

AS55°E.
BS35°W.
CN55°E.
DN35°W.
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Question 129
waec 2023

A number is chosen at random from 40 and 50 inclusive. Find the probability that the number is prime.

A\(\frac{8}{11}\)
B\(\frac{3}{11}\)
C\(\frac{4}{11}\)
D\(\frac{5}{11}\)
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Question 130
waec 2023

Arrange the following in ascending order of magnitude \(110_{two}, 31_{eight}, 42_{five}\)

A\(110_{two}, 31_{five}, 42_{eight}\)
B\(42_{five}, 110_{two}, 31_{eight}\)
C\(42_{five}, 31_{eight}, 110_{two}\)
D\(110_{two}, 42_{five}, 31_{eight}\)
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