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Mathematics Past Questions

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94 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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94 questions

Question 1 of 20 94 total questions

Question 11

jamb 2023

A rectangle has one side that is 6 cm shorter than the other. The area of the rectangle will increase by 68 cm\(^2\) if we add 2 cm to each side of the rectangle. Find the length of the shorter side.

A15 cm

B19 cm

C13 cm

D21 cm

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Question 12

jamb 2023

Evaluate \(\frac{5}{8} - \frac{3}{4} ÷ \frac{5}{12} \times \frac{1}{4}\)

A- \(\frac{3}{40}\)

B\(\frac{3}{40}\)

C\(\frac{7}{40}\)

D-\(\frac{263}{40}\)

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Question 13

jamb 2023

Bello buys an old bicycle for ₦9,200.00 and spends ₦1,500.00 on its repairs. If he sells the bicycle for ₦13,400.00, his gain percent is

A25.23%

B31.34%

C88.81%

D42.54%

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Question 14

jamb 2023

Find the area and perimeter of a square whose length of diagonals is 20\(\sqrt2\) cm.

A800 cm\(^2\), 80 cm

B400 cm, 80 cm\(^2\)

C80 cm, 800 cm\(^2\)

D400 cm\(^2\), 80 cm

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Question 15

jamb 2023

Find the volume of the composite solid above.

A2048 cm\(^3\)

B2568 cm\(^3\)

C2672 cm\(^3\)

D1320 cm\(^3\)

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Question 16

jamb 2023

Two dice are tossed. What is the probability that the total score is a prime number.

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

B\(\frac{5}{9}\)

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

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

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Question 17

jamb 2023

The difference between an exterior angle of (n - 1) sided regular polygon and an exterior angle of (n + 2) sided regular polygon is 6\(^o\), then the value of "n" is

A11

B13

C12

D14

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Question 18

jamb 2023

A student is using a graduated cylinder to measure the volume of water and reports a reading of 18 mL. The teacher reports the value as 18.4 mL. What is the student's percent error?

A2.17%

B1.73%

C2.23%

D1.96%

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Question 19

jamb 2023

The graph above depicts the performance ratings of two sports teams A and B in five different seasons

In the last five seasons, what was the difference in the average performance ratings between Team B and Team A?

A1.2

B6.4

C4.6

D1.8

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Question 20

jamb 2023

Express 16.54 x 10\(^{-5}\) - 6.76 x 10\(^{-8}\) + 0.23 x 10\(^{-6}\) in standard form

A1.66 x 10\(^{-4}\)

B1.66 x 10\(^{-5}\)

C1.65 x 10\(^{-5}\)

D1.65 x 10\(^{-4}\)

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Question 21

jamb 2023

The third term of an A.P is 6 and the fifth term is 12. Find the sum of its first twelve terms

A201

B144

C198

D72

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Question 22

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 23

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 24

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 25

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 26

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 27

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 28

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 29

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 30

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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