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Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

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Question 71

jamb 2023

A rectangular plot of land has sides with lengths of 38 m and 52 m corrected to the nearest m. Find the range of the possible values of the area of the rectangle

A1931.25 m\(^2\) ≤ A < 2021.25 m\(^2\)

B1950 m\(^2\) ≤ A < 2002 m\(^2\)

C1957 m\(^2\) ≤ A < 1995 m\(^2\)

D1931.25 m\(^2\) ≥ A > 2021.25 m\(^2\)

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Question 72

jamb 2023

Calculate, correct to three significant figures, the length of the arc AB in the diagram above.
[Take \(\pi = ^{22}/_7\)]

A32.4 cm

B30.6 cm

C28.8 cm

D30.5 cm

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Question 73

jamb 2023

An article when sold for ₦230.00 makes a 15% profit. Find the profit or loss % if it was sold for ₦180.00

A10% gain

B10% loss

C12% loss

D12% gain

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Question 74

jamb 2023

Calculate, correct to three significant figures, the length AB in the diagram above.

A36.4 cm

B36.1 cm

C36.2 cm

D36.3 cm

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Question 75

jamb 2023

The angle of elevation and depression of the top and bottom of another building, measured from the top of a 24 m tall building, is 30° and 60°, respectively. Determine the second building's height.

A24 m

B32\(\sqrt3\) m

C24\(\sqrt3\)

D32 m

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Question 76

jamb 2023

Two numbers are respectively 35% and 80% more than a third number. The ratio of the two numbers is

A7 : 16

B3 : 4

C16 : 7

D4 : 3

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Question 77

jamb 2023

The locus of a point equidistant from two intersecting lines is

Awhere the sum of the distances of two focal points is fixed

Bthe collection of points that are equally distant from a fixed point and a line

Cthe perpendicular bisector of the lines

Dpair of bisectors of the angles between the two lines

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Question 78

jamb 2023

What is the general term of the sequence 3, 8, 13, 18, ...?

A5n - 2

B5n + 2

D5n

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Question 79

jamb 2023

Solve the following quadratic inequality: \(x^2 - x\) - 4 ≤ 2

A\(-3 < x < 2\)

B\(-2 ≤ x ≤ 3\)

C\(x ≤ -2, x ≤ 3\)

D\(-2 < x < 3\)

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Question 80

jamb 2023

Let a binary operation '*' be defined on a set A. The operation will be commutative if

Aa*b = b*a

B(a*b)*c = a*(b*c)

C(b ο c)*a = (b*a) ο (c*a)

DNone of the above

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Question 81

jamb 2023

If \(-2x^3 + 6x^2 + 17x\) - 21 is divided by \((x + 1)\), then the remainder is

A32

B30

C-30

D-32

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Question 82

jamb 2023

How many students scored at least 25%

A16

B19

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Question 83

jamb 2023

Find the matrix A

A \(\begin {bmatrix} 0 & 1\\2 & -1 \end {bmatrix}\) = \(\begin {bmatrix} 2 & -1\\1 & 0 \end {bmatrix}\)

A\(\begin {bmatrix} 2 & 1\\-^1/_2 & -^1/_2 \end {bmatrix}\)

B\(\begin {bmatrix} 0 & 1\\^1/_2 & ^1/_2 \end {bmatrix}\)

C\(\begin {bmatrix} 2 & 1\\0 & -1 \end {bmatrix}\)

D\(\begin {bmatrix} 2 & 1\\^1/_2 & -2 \end {bmatrix}\)

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Question 84

jamb 2023

The ages of students in a small primary school were recorded in the table below.

Age	5-6	7-8	9-10
Frequency	29	40	38

Estimate the median.

A7.725

B6.225

C7.5

D6.5

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Question 85

jamb 2023

A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the probability of drawing a red ball and a white ball if the balls are drawn without replacement.

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

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

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

D\(\frac {8}{33}\)

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Question 86

jamb 2023

If A = { 1, 2, 3, 4, 5, 6}, B = { 2, 4, 6, 8 }. Find (A – B) ⋃ (B – A).

A{1, 3, 5, 8}

B{8}

C{1, 2, 3, 4, 5, 6, 8}

D{1, 3, 5}

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Question 87

jamb 2023

Factorize: \(16x^4 - y^4\)

A\((2x - y)(2x + y)(4x^2 + y^2)\)

B\((2x + y)(2x + y)(4x^2 + y^2)\)

C\((2x - y)(2x - y)(4x^2 + y^2)\)

D\((2x - y)(2x + y)(4x^2 - y^2)\)

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Question 88

jamb 2023

In a group of 500 people, 350 people can speak English, and 400 people can speak French. Find how many people can speak both languages.

A750

B850

C250

D150

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Question 89

jamb 2023

Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5

Ay = ±5

By = ±10

Cy = ±17

Dy = ±13

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Question 90

jamb 2023

Find the value of y if \(402_y = 102_{ten}\)

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