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Mathematics Past Questions

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

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Past Questions

135 questions

Question 1 of 20 135 total questions

Question 1

neco 2004

Find x if (x - 2)² = 1\(\frac{7}{9}\)

A\(\frac{2}{3}\) or \(\frac{2}{7}\)

B3\(\frac{1}{3}\) or \(\frac{2}{3}\)

C3\(\frac{7}{9}\) or \(\frac{2}{7}\)

D3\(\frac{1}{3}\) or \(\frac{7}{9}\)

E\(\frac{3}{7}\) or \(\frac{2}{9}\)

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Question 2

neco 2004

Express the product of 0.007 and 0.057 to two significant figures

A0.0004

B0.00039

C0.004

D0.0039

E0.04

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Question 3

neco 2004

A man is 40m from the foot of a cliff of height 23m. Calculate the angle of elevation of the top of the cliff from the man

A50° 54′

B35° 06′

C30° 00′

D290 90′

E29° 54′

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Question 4

neco 2004

A bag Contains 2 red, 3 blue and 4 green identical balls. If two balls are picked at random one after the other without replacement, what is the probability that both are green?

A\(\frac{1}{6}\)

B\(\frac{1}{3}\)

C\(\frac{16}{18}\)

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

E\(\frac{4}{9}\)

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Question 5

neco 2004

The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus

A68cm

B72cm

C80cm

D88cm

E92cm

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Question 6

neco 2004

If the mean of the following set of data, 2, 3,3,3, 2,4, 4, and 3 is divided by its mode, the result is:

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Question 7

neco 2004

The 4th term of a G.P is 3 and its first term is 81. What is its common ratio?

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

C\(\frac{1}{3}\)

D-\(\frac{1}{3}\)

E-3

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Question 8

neco 2004

Express the quotient of 0.422 and 0.004 in standard form

A1.055 × 10²

B10.55 × 10¹

C105 × 10⁰

D10.55 × 10^-1

E1.055 × 10^-2

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Question 9

neco 2004

Evaluate ut - \(\frac{1}{2}\)ft² when t = 5, u = -20 and f = 10

A225

B72

C-75

D-125

E-225

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Question 10

neco 2004

If cos x = 4/5, 0° \( \leq \) x \( \leq \) 90°, find the value of (1 + tan x)/(1 - tan x)

D\(\frac{7}{16}\)

E\(\frac{9}{25}\)

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Question 11

neco 2004

One of the interior angles of a regular polygon is 120°. Find the number of sides of the polygon

E12

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Question 12

neco 2004

Find the value of t such that the expression \(\frac{1}{t}\) + \(\frac{4}{3}\) - \(\frac{5}{6t}\) + 1 is equal to zero

A\(\frac{1}{6}\)

B\(\frac{1}{-14}\)

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

D\(\frac{7}{6}\)

E\(\frac{2}{5}\)

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Question 13

neco 2004

If log\(_{10}\)2 = 0.3010 and log\(_{10}\)3 = 0.4771, simplify: (Log\(_{10}\)8-log\(_{10}\)2) ÷ (Log\(_{10}\)9 - log\(_{10}\)2)

C-0.92

D-4

E0.92

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Question 14

neco 2004

A bag contains p dozens of bananas and 3q of these proved to be bad. If I buy one third of the goods ones, how many do I get?

AP -3q

B\(\frac{1}{3}\) (p - 3q)

C3q

D4p - q

E12p - 3q

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Question 15

neco 2004

Four pupils have an average age of 12years and two other pupils of average age of 10.5years are added. What is the average age of the six pupils?

A10.5yrs.

B11yrs.

C11.5 yrs.

D12yrs.

E12.5yrs.

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Question 16

neco 2004

The bearing of Y from X is 085º. What is the bearing of X from Y?

A005°

B095°

C185°

D265°

E275°

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Question 17

neco 2004

The roots of a quadratic equation in x, are -m and 2n. Fine equation.

Ax² - x(2n-m) – 2mn = 0

Bx² + x(2n - m) - 2mn = 0

Cx² + x(m - 2n) + 2mn = 0

DX² + x (m + 2n ) + 2mn = 0

Ex² - x (m - 2n) - 2mn = 0

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Question 18

neco 2004

Evaluate (Log₁₃ - log₅) ÷ X(log₅-log₁₃) without using tables

B–x

CX-1

D–X^-1

E-1

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Question 19

neco 2004

A sales boy gave a change of N75.00 to a buyer instead of N80.00, calculate his percentage error, correct to one decimal place?

A6.00%

B6.20%

C6.30%

D6.60%

E6.70%

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Question 20

neco 2004

What must be added to b²-3ab to make it a perfect square?

A-3a

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

C\(\frac{9}{4}\)

D\(\frac{9a}{4}\)

E\(\frac{9^2}{4}\)

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