Mathematics Past Questions

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147 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10
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Past Questions

147 questions
Question 1 of 20 147 total questions
Question 41
jamb 2023

Find the volume of the cylinder above
[Take \(\pi= ^{22}/_7\)]

A9,856 cm\(^3\)
B14,784 cm\(^3\)
C4,928 cm\(^3\)
D19,712 cm\(^3\)
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Question 42
jamb 2023

Find the compound interest (CI) on ₦15,700 for 2 years at 8% per annum compounded annually.

A₦6,212.48
B₦2,834.48
C₦18,312.48
D₦2,612.48
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Question 43
jamb 2023

Find the area, to the nearest cm\(^2\), of the triangle whose sides are in the ratio 2 : 3 : 4 and whose perimeter is 180 cm.

A1162 cm\(^2\)
B1163 cm\(^2\)
C1160 cm\(^2\)
D1161 cm\(^2\)
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Question 44
jamb 2023

A man sells different brands of an items. \(^1/_9\) of the items he has in his shop are from Brand A, \(^5/_8\) of the remainder are from Brand B and the rest are from Brand C. If the total number of Brand C items in the man's shop is 81, how many more Brand B items than Brand C does the shop has?

A243
B108
C54
D135
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Question 45
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 46
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 47
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 48
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 49
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 50
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 51
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 52
jamb 2023

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

A5n - 2
B5n + 2
C5
D5n
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Question 53
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 54
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 55
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 56
jamb 2023

How many students scored at least 25%

A16
B19
C3
D8
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Question 57
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 58
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 59
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 60
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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