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Mathematics Past Questions

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

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Past Questions

50 questions

Question 1 of 20 50 total questions

Question 1

jamb 2005

If M and N are two matrices defined by M = \(\begin{pmatrix} 1 & 3 & 2 \\ 4 & 5 & -1 \\ -3 & 2 & 0 \end{pmatrix}\) and N = \(\begin{pmatrix}1 & -2 & 3 \\ 4 & -1 & 5 \\ 2 & -3 & -1 \end{pmatrix}\). Evaluate 2M - 3N

A\(\begin{pmatrix} -1 & 12 & 5 \\ 4 & 7 & 13 \\ 0 & -5 & -3 \end{pmatrix}\)

B\(\begin{pmatrix} -1 & 0 & -5 \\ -4 & 7 & -17 \\ 0 & -5 & 3 \end{pmatrix}\)

C\(\begin{pmatrix} -1 & 12 & -5 \\ -4 & 13 & -17 \\ -12 & 13 & 3 \end{pmatrix}\)

D\(\begin{pmatrix} -1 & 12 & -5 \\ 4 & 13 & 13 \\ -12 & 13 & 3 \end{pmatrix}\)

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Question 2

jamb 2005

Find the coordinates of the midpoint of the line joining (3, -4) and (-1, 10).

A1, 3

B1, 2

C2, 3

D3, 2

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Question 3

jamb 2005

If U = {x\x is a positive integer less than 10} and P = {x\x is a prime factor of 30}, find the complement of P

A {1, 4, 6, 7, 8, 9}.

B {1, 2, 4, 7, 8, 9}.

C {1, 2, 4, 6, 7, 8, 9}.

D {1, 4, 7, 8, 9}.

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Question 4

jamb 2005

If P = \(\begin{pmatrix}1 & 3 & 2 \\ 4 & 5 & -1 \\ -3 & 2 & 0 \end{pmatrix}\), find the determinant of matrix P.

A75

B57

C-57

D-75

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Question 5

jamb 2005

Divide 6x\(^2\) - 13x + 5 by 2x - 1

A3x + 5

B3x - 5

C5x - 3

D5x + 3

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Question 6

jamb 2005

A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father's monthly income if the second child got ₦ 3,000?

A₦33,000

B₦45,000

C₦50,000

D₦60,000

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Question 7

jamb 2005

From the diagram given, find the bearing of R from S

A226^o

B224^o

C136^o

D134^o

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Question 8

jamb 2005

in the diagram above, calculate the value of x.

A60^o

B100^o

C120^o

D140^o

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Question 9

jamb 2005

What is the probability that an integer x,(1 \(\leq\) x \(\leq\) 20) chosen at random is divisible by both 2 and 3?

A\(\frac{1}{20}\)

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

C\(\frac{3}{20}\)

D\(\frac{7}{10}\)

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Question 10

jamb 2005

A box contains 5 blue balls, 3 red balls and 2 white balls. Two balls are selected from the box with replacement. Find the probability of obtaining two blue or two red balls

A\(\frac{17}{50}\)

B\(\frac{3}{25}\)

C\(\frac{1}{50}\)

D\(\frac{3}{250}\)

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Question 11

jamb 2005

How many possible ways are there of seating seven people P,Q,R,S,T,U and V at a circular table

A360

B720

C2520

D5040

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Question 12

jamb 2005

In how many ways can 6coloured chalks be arranged if 2 are same colour?

A60

B120

C240

D360

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Question 13

jamb 2005

Find the value of t if the standard deviation of 2t, 3t, 4t, 5t, and 6t is √2

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Question 14

jamb 2005

The modal height and range of heights 1.35, 1.25, 1.35, 1.40, 1.35, 1.50, 1.35, 1.50, and 1.20 are m and r, respectively. Find m+2r.

A1.35

B1.65

C1.95

D3.00

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Question 15

jamb 2005

The table above shows that the scores of a group of students in a test. If the average score is 3.5, find the value of x

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Question 16

jamb 2005

The grades of 36 students in a test are shown in the pie chart above. How many students had excellent?

D12

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Question 17

jamb 2005

The histogram above shows the distribution of monthly incomes of the workers in a company. How many workers earn more than N700.00?

A16

B12

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Question 18

jamb 2005

Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)

Bzero

C-1/2

D-1

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Question 19

jamb 2005

Find the area of the figure bounded by the given pair of curves y = x\(^2\) - x + 3 and y = 3

A\(\frac{17}{6}\)units (sq)

B\(\frac{7}{6}\)units (sq)

C\(\frac{5}{6}\)units (sq)

D\(\frac{1}{6}\)units (sq)

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Question 20

jamb 2005

The maximum value of the function
f(x) = 2 + x - x\(^2\) is

A\(\frac{9}{4}\)

B\(\frac{7}{4}\)

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

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

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