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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 11

jamb 2004

The nth term of two sequences are Q_n = 3 . 2^{n - 2} and U_m = 3 . 2^{2m - 3}. Find the product of Q₂ and U₂.

A18

B12

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Question 12

jamb 2004

Find the remainder when 3x³ + 5x² - 11x + 4 is divided by x + 3

A-4

D-1

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Question 13

jamb 2004

If the operation * on the set of integers is defined by P * Q = \(\sqrt{PQ}\), find the value of 4 * ( 8 * 32).

C16

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Question 14

jamb 2004

Given that the first and forth terms of G.P are 6 and 162 respectively, find the sum of the first three terms of the progression

A27

C78

D48

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Question 15

jamb 2004

What are the integer values of x which satisfy the inequality -1 < 3 -2x \(\leq\) 5?

A-1. 0, 1, 2

B-2, 1, 0 , -1

C0, 1, 2

D-1, 0, 1

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Question 16

jamb 2004

y is inversely proportional to x and y = 4 when x = 1/2. Find x when y = 10.

B10

C1/5

D1/10

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Question 17

jamb 2004

I. Rectangular bars of equal width
II. The height of each rectangular bar is proportional to the frequency of the corresponding class interval.
III. Rectangular bars have common sides with no gaps in between
A histogram is described completely by

AI, II and III

BI and II

CII and III

DI and III

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Question 18

jamb 2004

The weight of 10 pupils in a class are 15 kg, 16 kg, 17 kg, 18 kg, 16 kg, 17 kg, 17 kg, 17 kg, 18 kg, and 16 kg. What is the range of this distribution?

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Question 19

jamb 2004

A committee of six is to be formed by a state governor from nine state commissioners and three members of the state house of assembly. In how many ways can the members of the committee be chosen so as to include one member of the house of Assembly

A378 ways

B462 ways

C840 ways

D924 ways

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Question 20

jamb 2004

A container has 30 gold medals, 22 silver medals and 18 bronze medals. If one medals is selected at the random from the container, what is the probability that it is not a gold medal?

A9/35

B11/35

C4/7

D3/7

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Question 21

jamb 2004

The mean age of a group of students is 15 years. When the age of a teacher, 45 years old, is added to the age of the students, the mean of their ages becomes 18 years. Find the number of the students in the group

C42

D15

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Question 22

jamb 2004

In how many ways can 2 students be selected from a group of 5 students in a debating competition?

A25 ways

B10 ways

C15 ways

D20 ways

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Question 23

jamb 2004

The pie chart above shows the distribution of the crops harvested from a farmland in a year. If 3000 tonnes of millet is harvested, what amount of beans is harvested

A6000 tonnes

B1500 tonnes

C1200 tonnes

D9000 tonnes

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Question 24

jamb 2004

An unbiased die is rolled 100 times and the outcome is tabulated above.
What is the probability of obtaining a 5?

A1/5

B1/2

C1/6

D1/4

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Question 25

jamb 2004

find the mean deviation of 1, 2, 3 and 4

A2.5

B2.0

C1.0

D1.5

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Question 26

jamb 2004

Some white balls put in a basket containing twelve red balls and sixteen black balls. If the probability of picking a white ball from the baskets is \(\frac{3}{7}\), how many white balls were introduced?

A12

B21

C28

D32

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Question 27

jamb 2004

Evaluate \(\int_{1}^{3}(x^2 - 1)dx\)

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

B\(-\frac{2}{3}\)

C\(-6\frac{2}{3}\)

D\(6\frac{2}{3}\)

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Question 28

jamb 2004

Find the derivatives of the function y = 2x\(^2\)(2x - 1) at the point x = -1?

A18

B16

C-4

D-6

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Question 29

jamb 2004

What is the rate of change of the volume V of a hemisphere with respect to its radius r when r = 2?

A8π

B16π

C2π

D4π

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Question 30

jamb 2004

Find the derivatives of (2 + 3x)(1 - x) with respect to x

B-3

C1 - 6x

D6x - 1

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