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Mathematics Past Questions

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

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48 questions

Question 1 of 20 48 total questions

Question 11

jamb 1983

Factorize completely 81a\(^4\) - 16b\(^4\)

A(3a + 2b)(2a - 3b)(9a² + 4b²)

B(3a - 2b)(2a - 3b)(4a² - 9b²)

C(3a - 2b)(3a + 2b)(9a² + 4b²)

D(6a - 2b)(8a - 3b)(4a³ - 9b²)

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Question 12

jamb 1983

Without using tables find the numerical value of log\(_7\)49 + log\(_7\)(\(\frac{1}{7}\))

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Question 13

jamb 1983

If \((\frac{2}{3})^{m} (\frac{3}{4})^{n} = \frac{256}{729}\), find the values of m and n.

Am = 4, n = 2

Bm = -4, n = -2

Cm = -4, n =2

Dm = 4, n = -2

Em = -2, n = 4

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Question 14

jamb 1983

If a rod of length 250cm is measured as 255cm long in error, what is the percentage error in the measurement?

A55

B10

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Question 15

jamb 1983

Correct each of the numbers 59.81798 and 0.0746829 to three significant figures and multiply them, giving your answer to three significant figures

A4.46

B4.48

C4.47

D4.49

E4.50

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Question 16

jamb 1983

The letters of the word MATRICULATION are cut and put into a box. One letter is drawn at random from the box. Find the probability of drawing a vowel

A\(\frac{7}{13}\)

B\(\frac{5}{13}\)

C\(\frac{6}{13}\)

D\(\frac{8}{13}\)

E\(\frac{4}{13}\)

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Question 17

jamb 1983

The scores of 16 students in a Mathematics test are 65, 65, 55, 60, 60, 65, 60, 70, 75, 70, 65, 70, 60, 65, 65, 70. What is the sum of the median and modal scores?

A125

B130

C140

D150

E137.5

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Question 18

jamb 1983

Find the angle of the sectors representing each item in pie chart of the following data 6, 10, 14, 16, 26

A15^o, 25^o, 35^o, 40^o, 65^o

B60^o, 100^o, 140^o, 160^o, 260^o

C6^o, 10^o, 14^o, 16^o, 26^o

D30^o, 50^o, 70^o, 80^o, 130^o

Enone of the above

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Question 19

jamb 1983

Find the missing value in the following table \(\begin{array}{c|c} x & -2 & -1 & 0 & 1 & 2 & 3 \\ \hline Y = x^3 - x + 3 & & 3 & 3 & 3 & 9 & 27\end{array}\)

A-3

C-9

D13

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Question 20

jamb 1983

Solve the simultaneous equations for x in x² + y - 8 = 0, y + 5x - 2 = 0

A-28, 7

B6, -28

C6, -1

D-1, 7

E3, 2

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Question 21

jamb 1983

If w varies inversely as V and U varies directly as w³, Find the relationship between u and v given that u = 1, when v = 2

Au = \(\frac{8}{v^3}\)

Bv = \(\frac{8}{u^2v^3}\)

Cu = 8v³

Dv = 8u²

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Question 22

jamb 1983

Simplify log\(_{10}\) a\(\frac{1}{3}\) + \(\frac{1}{4}\)log\(_{10}\) a - \(\frac{1}{12}\)log\(_{10}\)a7

B\(\frac{7}{6}\)log₁₀ a

Czero

D10

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Question 23

jamb 1983

Find x if (x\(_4\))\(^2\) = 100100\(_2\)

B12

C100

D210

E110

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Question 24

jamb 1983

The scores of set of final year students in the first semester examination in a paper are 41, 29, 55, 21, 47, 70, 70, 40, 43, 56, 73, 23, 50, 50. Find the median of the scores.

A47

B50

C48\(\frac{1}{2}\)

D48

E49

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Question 25

jamb 1983

The lengths of the sides of a right angled triangle are (3x + 1)cm, (3x - 1)cm and xcm. Find x

C18

D12

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Question 26

jamb 1983

Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)

A\(\frac{x}{(x - 3)(x - 7)}\)

B\(\frac{x}{(x + 3)(x - 7)}\)

C\(\frac{x}{(x + 3)(x + 7)}\)

D\(\frac{x}{(x - 3)(x + 7)}\)

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Question 27

jamb 1983

y varies partly as the square of x and partly as the inverse of the square root of x.Write down the expression for y if y = 2 when x = 1 and y = 6 when x = 4

Ay = \(\frac{10x^2}{31} + \frac{52}{31\sqrt{x}}\)

By = x² + \(\frac{1}{\sqrt{x}}\)

Cy = x² + \(\frac{1}{x}\)

Dy = \(\frac{x^2}{31} + \frac{1}{31\sqrt{x}}\)

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Question 28

jamb 1983

The value of (0.03)\(^3\) - (0.02)\(^3\) is

A0.019

B0.0019

C0.00019

D0.000019

E0.000035

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Question 29

jamb 1983

Make T the subject of the equation \(\frac{av}{1 - v}\) = \(\sqrt[3]{\frac{2v + T}{a + 2T}}\)

AT = \(\frac{3av}{1 - v}\)

BT = \(\frac{1 + v}{2a^2v^3}\)

CT = \(\frac{2v(1 - v)^3 - a^4v^3}{2a^3v^3 + (1 - v)^2}\)

D\(\frac{2v(1 - v)^3 - a^4 v^3}{2a^3v^ 3 - (1 - v)^3}\)

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Question 30

jamb 1983

If (x + 2) and (x - 1) are factors of the expression \(Lx^{3} + 2kx^{2} + 24\), find the values of L and k.

A1 = -6, k = -9

B1 = -2, k = 1

Ck = -1, 1 = -2

D1 = 0, k = 1

Ek = 0,1 = 6

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