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Mathematics Past Questions

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

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Past Questions

49 questions

Question 1 of 20 49 total questions

Question 1

jamb 2008

A student sitting on a tower 68 metres high observes his principal's car at the angle of depression of 20o. How far is the car from the bottom of the tower to the nearest metre?

A184m

B185m

C186m

D187m

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Question 2

jamb 2008

Calculate the distance between points L(-1, -6) and M(-3, -5)

A√5

B2√3

C√20

D√50

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Question 3

jamb 2008

\(\begin{pmatrix} -2 & 1 \\ 2 & 3 \end{pmatrix}\) \(\begin{pmatrix}p & q \\ r & s\end{pmatrix}\) = \(\begin{pmatrix} 1 & 0 \\0 & 1 \end{pmatrix}\). What is the value of r?

A-\(\frac{1}{8}\)

B\(\frac{3}{8}\)

C\(\frac{5}{8}\)

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

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Question 4

jamb 2008

Find the values of x and y respectively if
\(\begin{pmatrix} 1 & 0 \\ -1 & -1\\ 2 & 2 \end{pmatrix}\) + \(\begin{pmatrix} x & 1 \\ -1 & 0\\ y & -2 \end{pmatrix}\) = \(\begin{pmatrix} -2 & 1 \\ -2 & -1\\ -3 & 0 \end{pmatrix}\)

A-3, -2

B-5, -3

C-2, -5

D-3, -5

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Question 5

jamb 2008

The result of rolling a fair die 150 times is as summarized in the table above. What is the probability of obtaining a 5?

A³/₁₀

B¹/₅

C¹/₆

D¹/₁₀

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Question 6

jamb 2008

The probability of picking a letter T from the word OBSTRUCTION is?

A¹/₁₁

B²/₁₁

C³/₁₁

D⁴/₁₁

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Question 7

jamb 2008

Find the number of ways of selecting 6 out of 10 subjects for an examination

A128

B216

C215

D210

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Question 8

jamb 2008

In how many ways can the letters of the word ACCEPTANCE be arranged?

A\(\frac{10!}{(2!2!3!)}\)

B\(\frac{10!}{( 2!3!)}\)

C\(\frac{10!}{(2!2!)}\)

D10!

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Question 9

jamb 2008

Find the mean deviation of 2, 4, 5, and 9

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Question 10

jamb 2008

If x > 0, find the range of number x-3, 3x+2,x-1, 4x, 2x-1, x-2, 2x-2, 3x and 3x+1

A3x+3

B3x+1

C2x+5

D2x+1

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Question 11

jamb 2008

Find the median of 4, 1, 4, 1, 0, 4, 4, 2 and 0

Azero

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Question 12

jamb 2008

What is the mean of the data t, 2t-1, t-2, 2t -1, 4t and 2t+2?

A2t

B2t-1

C²/₃t+1

D2t-¹/₃

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Question 13

jamb 2008

The bar chart above shows the number of times the word "a, and , in, it, the ,to" appear in a paragraph in a book.

What is the ratio of the least frequent word to the most frequent word?

A¹/₆

B¹/₃

C²/₃

D³/₄

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Question 14

jamb 2008

On a pie chart there are six sectors of which four angles are 30°, 45°, 60°, 90° and the remaining two angles are in the ratio 2:1. Find the smallest angles of the remaining two angles.

A15^o

B30^o

C45^o

D60^o

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Question 15

jamb 2008

Evaluate \(\int^{\frac{\pi}{2}} _{\frac{-\pi}{2}} cos x dx\)

Azero

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Question 16

jamb 2008

Evaluate \(\int_1 ^2(6x^2-2x)dx\)

A16

B13

C12

D11

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Question 17

jamb 2008

Find the minimum value of the function y = x(1+x)

A-¹/₄

B-¹/₂

C¹/₄

D¹/₂

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Question 18

jamb 2008

Differentiate sin x - x cos x

Ax cos x

Bx sin x

C-x cos x

D-x sin x

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Question 19

jamb 2008

Find the derivative of \(y=\frac{x^7 - x^5}{x^4}\)

Ax(x²-1)

B3x(x²-1)

C3x²-1

D7x⁶-5x⁴

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Question 20

jamb 2008

If sinθ = 3/5. Find Tanθ

A³/₄

B³/₅

C²/₅

D¹/₄

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