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Mathematics Past Questions

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

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Past Questions

80 questions

Question 1 of 20 80 total questions

Question 31

jamb 2019

The marks scored by 30 students in a Mathematics test are recorded in the table below:

Scores (Mark)	0	1	2	3	4	5
No of students	4	3	7	8	6	2

What is the total number of marks scored by the children?

A82

B15

C63

D75

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Question 32

jamb 2019

In the figure above, |CD| is the base of the triangle CDE. Find the area of the figure to the nearest whole number.

A56 cm\(^2\)

B24 cm\(^2\)

C42 cm\(^2\)

D34 cm\(^2\)

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Question 33

jamb 2019

If \(4\sin^2 x - 3 = 0\), find the value of x, when 0° \(\leq\) x \(\leq\) 90°

A90°

B45°

C60°

D30°

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Question 34

jamb 2019

From the cyclic quadrilateral MNOP above, find the value of x.

A16°

B25°

C42°

D39°

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Question 35

jamb 2019

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

Abisector of the two lines

Bline parallel to the two lines

Cangle bisector of the two lines

Dperpendicular bisector of the two lines

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Question 36

jamb 2019

Score (x)	0	1	2	3	4	5	6
Freq (f)	5	7	3	7	11	6	7

Find the variance

A3.42

B4.69

C4.85

D3.72

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Question 37

jamb 2019

Score (x)	0	1	2	3	4	5	6
Freq (f)	5	7	3	7	11	6	7

Find the mean of the data.

A3.26

B4.91

C6.57

D3.0

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Question 38

jamb 2019

Given matrix M = \(\begin{vmatrix} -2 & 0 & 4 \\ 0 & -1 & 6 \\ 5 & 6 & 3 \end{vmatrix}\), find \(M^{T} + 2M\)

A\(\begin{vmatrix} -4 & 2 & 1\\ 6 & 0 & 5 \\ 0 & 6 & 2 \end{vmatrix}\)

B\(\begin{vmatrix} -6 & 0 & 13\\ 0 & -3 & 18 \\ 14 & 18 & 9 \end{vmatrix}\)

C\(\begin{vmatrix} 5 & 2 & 6 \\ 0 & 1 & 1\\ 3 & 4 & -7 \end{vmatrix}\)

D\(\begin{vmatrix} -4 & 0 & 8 \\ 0 & -2 & -16 \\ 10 & 12 & 6 \end{vmatrix}\)

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Question 39

jamb 2019

In how many ways can the word MATHEMATICIAN be arranged?

A6794800 ways

B2664910 ways

C6227020800 ways

D129729600 ways

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Question 40

jamb 2019

If a fair coin is tossed 3 times, what is the probability of getting at least two heads?

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

B\(\frac{4}{5}\)

C\(\frac{2}{5}\)

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

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Question 41

jamb 2019

If \(6x^3 + 2x^2 - 5x + 1\) divides \(x^2 - x - 1\), find the remainder.

A2x + 6

B6x + 8

C5x - 3

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Question 42

jamb 2019

\(\frac{\frac{2}{3} \div \frac{4}{5}}{\frac{1}{4} + \frac{3}{5} - \frac{1}{3}}\)

A\(\frac{31}{50}\)

B\(\frac{20}{31}\)

C\(\frac{31}{20}\)

D\(\frac{50}{31}\)

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Question 43

jamb 2019

Given \(\sin 58° = \cos p°\), find p.

A48°

B58°

C32°

D52°

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Question 44

jamb 2019

Find the length of the chord |AB| in the diagram shown above.

A4.2 cm

B4.3 cm

C3.2 cm

D3.4 cm

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Question 45

jamb 2019

Rationalize \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}\)

A\(-5 - 2\sqrt{6}\)

B\(-5 + 3\sqrt{2}\)

C\(5 - 2\sqrt{3}\)

D\(5 + 2\sqrt{6}\)

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Question 46

jamb 2019

In a class of 50 students, 40 students offered Physics and 30 offered Biology. How many offered both Physics and Biology?

A42

B20

C70

D54

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Question 47

jamb 2019

Age in years	7	8	9	10	11
No of pupils	4	13	30	44	9

The table above shows the number of pupils in a class with respect to their ages. If a pie chart is constructed to represent the age, the angle corresponding to 8 years old is

A48.6°

B56.3°

C46.8°

D13°

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Question 48

jamb 2019

A binary operation \(\otimes\) is defined by \(m \otimes n = mn + m - n\) on the set of real numbers, for all m, n \(\in\) R. Find the value of 3 \(\otimes\) (2 \(\otimes\) 4).

B25

C15

D18

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Question 49

jamb 2019

The angle of elevation of the top of a tree from a point on the ground 60m away from the foot of the tree is 78°. Find the height of the tree correct to the nearest whole number.

A148m

B382m

C282m

D248m

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Question 50

jamb 2019

Make q the subject of the formula in the equation \(\frac{mn}{a^2} - \frac{pq}{b^2} = 1\)

A\(q = \frac{b^2(mn - a^2)}{a^2 p}\)

B\(q = \frac{m^2 n - a^2}{p^2}\)

C\(q = \frac{mn - 2b^2}{a^2}\)

D\(q = \frac{b^2 (n^2 - ma^2)}{n}\)

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