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Question 51

jamb 2025

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8

Ax = 10, y = -6

Bx = 10, y = 6

Cx = 6, y = 10

Dx = 10, y = 6

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Question 52

jamb 2025

The set {1,2,3,4,5} is equivalent to

A{2,3,1,4}

B{1,2,3,4,5,5}

C{1,2,3,4}

D{4,3,1,5,2}

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Question 53

jamb 2025

From the diagram above, find the area of the triangle PQR

A143cm\(^2\)

B120cm\(^2\)

C130cm\(^2\)

D117cm\(^2\)

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Question 54

waec 2024

For what values of y is \(\frac{y + 2}{8y^2 - 10y + 3}\) not defined?

A\(\frac{-3}{4}\), \(\frac{1}{2}\)

B\(\frac{-3}{4}\), \(\frac{-1}{2}\)

C\(\frac{3}{4}\), \(\frac{1}{2}\)

D\(\frac{3}{4}\), \(\frac{-1}{2}\)

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Question 55

waec 2024

The fourth and eighth terms of an Arithmetic Progression are 16 and 40 respectively. Find the common difference.

A- 6

C-2

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Question 56

waec 2024

Find the range of the following set of numbers: 28, 29, 39, 38, 33, 37, 26, 20, 15, and 25.

A22

B24

C25

D27

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Question 57

waec 2024

Which of the following points lies on the line 3x - 8y = 11?

A(1, 1)

B(1, -1)

C(-1, 1)

D(-1, -1)

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Question 58

waec 2024

The probability that Amaka will pass an examination is \(\frac{3}{7}\) and that Bala will pass is \(\frac{4}{9}\). Find the probability that both will pass the examination.

A\(\frac{2}{21}\)

B\(\frac{4}{21}\).

C\(\frac{5}{21}\)

D\(\frac{9}{21}\)

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Question 59

waec 2024

In the diagram \(\overline{TU}\) is a tangent to the circle SPQR at P. If \(\angle\)PTS = 44º, \(\angle\)SQP = 35º, find \(\angle\)PST

A101º

B125º

C130º

D135º

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Question 60

waec 2024

A cliff on the bank of a river 87 m high. A boat on the river is 22 m away from the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff.

A76\(^o\)

B64\(^o\)

C36\(^o\)

D24\(^o\)

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Question 61

waec 2024

The area of a sector of a circle with radius 7cm is 51.3 cm\(^2\). Calculate, correct to the nearest whole number, the angle of the sector. (Take \(\pi\) = \(\frac{22}{7}\))

A60\(^0\)

B120\(^0\)

C150\(^0\)

D150\(^0\)

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Question 62

waec 2024

A die is tossed once. Find the probability of getting a prime number.

A\(\frac{1}{2}\)

B\(\frac{1}{6}\)

C\(\frac{1}{3}\)

D\(\frac{2}{3}\)

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Question 63

waec 2024

Two opposite sides of a rectangle are (5x + 3) m and (2x + 9) m. If an adjacent side is (6x - 7) m, find in m\(^2\), the area of the rectangle.

A45

B65

C125

D165

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Question 64

waec 2024

The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.

A35

B36

C40

D50

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Question 65

waec 2024

The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the mean mass.

A44 kg

B50 kg

C40 kg

D53 kg

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Question 66

waec 2024

Find the value of x in the diagram above.

A120º

B100º

C60º

D150º

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Question 67

waec 2024

Four of the angles of a hexagon sum up to 420º. If the remaining angles are equal, find the value of each of the angles.

A60\(^O\)

B100\(^O\)

C120\(^O\)

D150\(^O\)

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Question 68

waec 2024

The perimeter of a rectangular garden is 90 m. If the width is 7 m less than the length, find the length of the garden.

A19 m

B23 m

C24 m

D26 m

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Question 69

waec 2024

In the diagram above, \(\overline{PQ}\) || \(\overline{RS}\), \(\angle\)WYZ = 44º and \(\angle\)WXY = 50º. Find \(\angle\)WTX

A65º

B68º

C86º

D90º

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Question 70

waec 2024

The gradient of the line joining the points P(2, -8) and Q(1, y) is -4. Find the value of y

C-4

D-3

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