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Mathematics Past Questions

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2,359 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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2,359 questions

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Question 561

jamb 2004

The shadow of a pole 5√3m high is 5m. Find the angle of elevation of the sun.

A45^o

B75^o

C30^o

D60^o

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Question 562

jamb 2004

A farmer planted 5000 grains of maize and harvested 5000 cobs, each bearing 500 grains. What is the ratio of the number of grains sowed to the number harvested?

A1 : 250 000

B1 : 25 000

C1 : 500

D1 : 5 000

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Question 563

jamb 2004

Simplify \(\frac{1}{\sqrt{3}+2}\) in the form \(a+b\sqrt{3}\)

A2 -√3

B-2 - √3

C2 + √3

D-2 + √3

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Question 564

jamb 2004

The shaded region in the Venn diagram above is

AP^c ∪ (Q ∩ R)

BP^c ∩ (Q ∪ R)

CP ∩ Q

DP^c ∩ (Q ∩ R)

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Question 565

jamb 2004

Evaluate \(\frac{\frac{1}{10}\times\frac{2}{3}+\frac{1}{4}}{\frac{\frac{1}{2}}{\frac{3}{5}}-\frac{1}{4}}\)

A\(\frac{7}{12}\)

B\(\frac{19}{35}\)

C\(\frac{2}{25}\)

D\(\frac{19}{60}\)

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Question 566

jamb 2004

Given that \(\sqrt[3]{{4}}\)\(^{2x}\) = 16, find the value of x

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Question 567

jamb 2004

Find P, if 451₆ - P₇ = 305₆

A62₇

B116₇

C611₇

D142₇

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Question 568

jamb 2004

If 6logx2 - 3logx3 = 3log50.2, find x.

A8/3

B4/3

C3/4

D3/8

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Question 569

jamb 2004

Three teachers shared a packet of chalk. The first teacher got 2/5 of the chalk and the second teacher received 2/15 of the remainder. What fraction did the third teacher receive?

A8/15

B11/25

C12/25

D13/25

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Question 570

jamb 2004

The length L of a simple pendulum varies directly as the square of its period T. If a pendulum with period 4 sec. is 64 cm long, find the length of pendulum whose period is 9 sec

A96 cm

B324 cm

C36 cm

D144 cm

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Question 571

jamb 2004

Find the sum to infinity of the series 1/2 , 1/6, 1/18, .....

A2/3

B1/3

C3/4

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Question 572

jamb 2004

Factorize completely ac - 2bc - a\(^2\) + 4b\(^2\)

A(a - 2b)(c - a - 2b)

B(a - 2b)(c + a +2b)

C(a - 2b)(c - a + 2b)

D(a - 2b)(c + a - 2b)

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Question 573

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 574

jamb 2004

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

A-4

D-1

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Question 575

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 576

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 577

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 578

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 579

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 580

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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