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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

Question 1 of 20 4,407 total questions

Question 2071

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 2072

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 2073

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 2074

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 2075

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 2076

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 2077

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 2078

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 2079

jamb 1983

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

B12

C100

D210

E110

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Question 2080

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 2081

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 2082

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 2083

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 2084

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 2085

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 2086

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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Question 2087

jamb 1983

If 0.0000152 x 0.00042 = A x 10\(^{B}\), where 1 \(\leq\) A < 10, find A and B

AA = 9, B = 6.38

BA = 6.38, B = -9

CA = -6.38, B = -9

DA = -9, B = -6.38

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Question 2088

jamb 1983

Given that cos z = L , whrere z is an acute angle, find an expression for \(\frac{\cot z - \csc z}{\sec z + \tan z}\)

A\(\frac{1 - L}{1 + L}\)

B\(\frac{L^2 \sqrt{3}}{1 + L}\)

C\(\frac{1 + L^3}{L^2}\)

D\(\frac{L(L - 1)}{1 - L + 1 \sqrt{1 - L^2}}\)

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Question 2089

jamb 1983

In a figure, PQR = 60o, PRS = 90o, RPS = 45o, QR = 8cm. Determine PS

A2\(\sqrt{3}\)cm

B4\(\sqrt{6}\)cm

C2\(\sqrt{6}\)cm

D8\(\sqrt{6}\)cm

E8cm

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Question 2090

jamb 1983

Solve the following equations 4x - 3 = 3x + y = x - y = 3, 3x + y = 2y + 5x - 12

Ax = 5, y = 2

Bx = 2, y = 5

Cx = 5, y = -2

Dx = -2, y = -5

Ex = -5, y = -2

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