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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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4,407 questions

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Question 81

jamb 2024

Given P = \(\begin{bmatrix}1 & 2\\2 & 3\end{bmatrix}\), find P\(^2\) - 4P - I where I is the identity matrix

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

B\(\begin{bmatrix}0 & 0\\0 & 0\end{bmatrix}\)

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

D\(\begin{bmatrix}0 & 1\\1 & 0\end{bmatrix}\)

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Question 82

jamb 2024

If x is inversely proportional to y and x = 9 when y = 4, find the law containing x and y

Ax = \(\frac{16}{y}\)

Bx = \(\frac{36}{y}\)

Cx = \(\frac{y}{36}\)

Dx = \(\frac{13}{y}\)

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Question 83

jamb 2024

Find the roots of x\(^3\) - 19x - 30=0

A-5, 3, and 2

B5, 3, and -2

C5, -3 and -2

D-5, -3 and 2

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Question 84

jamb 2024

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.

D12

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Question 85

jamb 2024

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

A0.32

D0.25

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Question 86

jamb 2024

A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.

A\(\frac{54}{121}\)

B\(\frac{65}{121}\)

C\(\frac{29}{55}\)

D\(\frac{27}{55}\)

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Question 87

jamb 2024

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

A105ways

B135 ways

C210 ways

D231 ways

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Question 88

jamb 2024

From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

A350 ways

B420 ways

C550 ways

D720 ways

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Question 89

jamb 2024

Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

A\(\sqrt{2}\)

B\(\sqrt{3}\)

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Question 90

jamb 2024

Find the variance of a group of data whose standard deviation is 12.34 to the nearest whole number.

A150

B151

C152

D153

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Question 91

jamb 2024

The mean of the numbers 13, 16, x, 18, 21, 2x, 35, is 22. Find the value of x

A16

B17

C23

D25

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Question 92

jamb 2024

Differentiate Cos25º - Sin 25º

A- ( Sin25º + Cos25º)

B- ( Sec25 + Cot25)

C- ( Cot25 + Sec25)

D- ( Sin25 + Sec25)

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Question 93

jamb 2024

How many proper and improper subsets are there in the set K = { a, b, c, d, e}?

A10

B25

C32

D50

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Question 94

jamb 2024

The average age of the four female teachers in a school is 40 and the average age of eight male teachers in the school is 25. Calculate the average age of the teachers in the school.

A20

B31

C32

D30

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Question 95

jamb 2024

Subtract 14256\(_{seven}\) from 20045\(_{seven}\)

A1256\(_{seven}\)

B2456\(_{seven}\)

C1356\(_{seven}\)

D2465\(_{seven}\)

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Question 96

jamb 2024

Convert the number 10111.11\(_{two}\) to a mixed number.

A23\(\frac{1}{4}\)

B23\(\frac{3}{4}\)

C22\(\frac{1}{4}\)

D24\(\frac{3}{4}\)

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Question 97

jamb 2024

In the diagram above, T represents the construction of angle .....

A15\(^0\)

B30\(^0\)

C45\(^0\)

D60\(^0\)

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Question 98

jamb 2024

Given that P is the set of all prime numbers between 0 and 10, and Q is the set of all odd numbers between 0 and 10. Find the union of elements in P that are not in Q and the elements in Q that are not in P.

A{2, 9}

B{ 9}

C{1, 9}

D{1, 2, 9}

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Question 99

jamb 2024

Find x if \(\frac{16^{2 + x}}{4} = 64^x\)

B- 3

D- 5

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Question 100

jamb 2024

P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.

A12

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