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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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Question 41

jamb 2025

A banker spent \(\frac{1}{5}\) of his salary on shirts, \(\frac{1}{3}\) of the remainder on transport, and kept the rest for contingencies. What fraction was left

A\(\frac{6}{15}\)

B\(\frac{8}{15}\)

C\(\frac{7}{15}\)

D\(\frac{4}{5}\)

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Question 42

jamb 2025

Calculate the interior angle of a 5 - sided regular polygon

A120º

B90º

C108º

D180º

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Question 43

jamb 2025

In a basket of fruits, there are 6 grapes, 11 bananas, and 13 oranges. If one fruit is chosen at random, what is the probability that the fruit is either a grape or a banana?

A\(\frac{17}{30}\)

B\(\frac{11}{30}\)

C\(\frac{6}{30}\)

D\(\frac{5}{30}\)

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Question 44

jamb 2025

Simplify (\(\frac{3}{4} \div 2\frac{1}{4}\)) of 1 \(\frac{7}{11}\) (3 \(\frac{2}{3}\) - \(\frac{15}{6}\))

A\(\frac{7}{11}\).

B\(\frac{11}{7}\).

C\(\frac{5}{11}\).

D\(\frac{11}{5}\).

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Question 45

jamb 2025

A car dealer bought a used car for ₦270,000 and spent ₦70,000 to refurbish it. He later sold the car for ₦490,000. What was the percentage profit?

A30%

B35%

C25%

D45%

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Question 46

jamb 2025

Obtain the equation of a straight line passing through (3, 15) whose slope = 3\(\frac{1}{5}\).

A5y + 16x + 27 = 0

B5y - 16x + 27 = 0

C5y - 16x - 27 = 0

D5y + 16x - 27 = 0

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Question 47

jamb 2025

The mean of the numbers 0, x + 2, 3x + 6, and 4x + 8 is 4, find the value of x.

A\(\frac{2}{5}\)

B\(\frac{2}{9}\)

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Question 48

jamb 2025

The determinant of the matrix \(A = \begin{pmatrix} -2 & 3 & 1 \\ p & 2 & 1 \\ 1 & 4 & 2\end{pmatrix}\) is -5. Find the value of p.

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Question 49

jamb 2025

If I is a 2 × 2 identity matrix, find the determinant of the matrix.

C-1

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Question 50

jamb 2025

A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2

A12

B14

C16

D11

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Question 51

jamb 2025

Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)

B-1

D0.5

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Question 52

jamb 2025

The average weight of 15 iron bars is 1000 kg. If the heaviest iron bar is removed, the average weight is reduced by 5 kg. Find the weight in kg of the heaviest iron bar.

A1170kg

B1270kg

C1070kg

D1370kg

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Question 53

jamb 2025

Y is partly constant and partly varies as x. When x = 3, y = 7 and when x = 5, y = 11. Find the constants of variation.

A2,3

B1,2

C3,2

D3,4

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Question 54

jamb 2025

Find the number of permutations of the letters of the word SCHOOL.

A600

B360

C480

D300

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Question 55

jamb 2025

Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?

A135°

B90°

C145°

D60°

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Question 56

jamb 2025

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

A\(\frac{5}{12}\)

B\(\frac{12}{13}\)

C\(\frac{5}{13}\)

D\(\frac{13}{12}\)

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Question 57

jamb 2025

Find the coordinates of the midpoint of line PQ given P(-3, 4) and Q(5, 6).

A(1, 4)

B(4, 1)

C(5, 1)

D(1, 5)

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Question 58

jamb 2025

Simplify 125\(^{−\frac{1}{3}}\) × 49\(^{−\frac{1}{2}}\) × 10\(^0\)

A\(\frac{1}{35}\)

B\(\frac{1}{350}\)

C350

D35

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Question 59

jamb 2025

Given that a * b = \(\frac{a + b}{\text{ab}}\) + (a - b). Find the value of 3 * 2

A-6

B\(\frac{11}{6}\)

C\(\frac{6}{11}\)

D-1 \(\frac{5}{6}\)

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Question 60

jamb 2025

Solve the inequality 2x + 3 > 5x + 8

Ax > 1\(\frac{2}{3}\)

Bx > -1\(\frac{2}{3}\)

Cx < -1\(\frac{2}{3}\)

Dx < 1\(\frac{2}{3}\)

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