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Mathematics Past Questions

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

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Past Questions

32 questions

Question 1 of 20 32 total questions

Question 1

neco 2002

The length, breadth and height of a cuboid are 8cm, 7\(\frac{1}{2}\)cm and 6\(\frac{1}{2}\) cm respectively. What Is its volume in m3 (leave your answer in standard form)?

A3.9 × 10^-1m³

B3.9 × 10^-2m³

C3.9 × 10^-3m³

D3.9 × 10^-4m³

E3.9 × 10^-5m³

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Question 2

neco 2002

A boy leaves station X on a bearing of 035° to station y which is 21km away. He then travels to another station Z on a bearing of 125°. If Z is directly East of X, what is the distance from X to his present position?

A3.0km

B12.04km

C17.2km

D34.18km

E36.61km

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Question 3

neco 2002

Simplify 2a² -4ab - 6a² - 10ab + 5ab - 5a²

A-9(a + b)

B9(a + b)

C-9a (a + b)

D9a(a - b)

E9b(a + b)

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Question 4

neco 2002

An amount of money is shared among P,Q and R such that for every 3P gets, Q gets 2 and for every 1Q gets, R gets 4. Find P: Q : R

A3 : 1 : 4

B3 : 2 : 1

C3 : 2 : 4

D3 : 3 : 4

E3 : 2 : 8

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Question 5

neco 2002

Solve the equation: \(\frac{1}{3}x\) + \(\frac{2}{5}\) = \(\frac{3}{4}x\) - \(\frac{1}{6}\)

A\(\frac{17}{30}\)

B\(\frac{65}{102}\)

C\(\frac{25}{34}\)

D\(\frac{102}{75}\)

E\(\frac{34}{25}\)

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Question 6

neco 2002

After what length of time will N2400.00 yield an interest of N60.00 at 1\(\frac{1}{2}\)% per annum?

A2\(\frac{4}{5}\) years

B1\(\frac{2}{3}\) years

C1\(\frac{1}{2}\) years

D1 years

E\(\frac{3}{5}\) year

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Question 7

neco 2002

A girl on top of a storey building 36m high dropped a N10.00 note on the ground below. If the angle of depression of the N10.00 note is 35°, how far is the money from the girl?

A20.64m

B29.48m

C44.49m

D49.55m

E62.76m

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Question 8

neco 2002

The mean and the range of the set of numbers: 1.20, 1.00, 0.90, 1.40, 0.80, 0.80, 1.20 and 1.10 are p and q respectively. What is the value of p ÷ q?

A1.11

B65

C1.85

D2.45

E3.85

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Question 9

neco 2002

The mean heights of 3 groups of students consisting of 20, 16 and 14 students are 1.67m, 1.50m and 1.40m Respectively. What is the mean height of all the students?

A1.52m

B1.53m

C1.54

D1.55m

E1.56m

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Question 10

neco 2002

Simplify [1 ÷ (x + 1)] - [2 ÷ (x - 1)] + [3 ÷ (x² - 1)]

A- 3x ÷ (x² - 1)

B- x ÷ (x² -1)

Cx ÷ (x² - 1)

D(x + 1) ÷ (x² - 1)

E(x + 4) ÷ (x² - 1)

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Question 11

neco 2002

Twice a number, x, is added to 5, the result is at least 11. What is the range of values of x?

Ax > 3

Bx ≥ 3

Cx ≤ 3

Dx < 3

Ex ≤ -3

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Question 12

neco 2002

What must be added to 3x² - 5x to make it a perfect square?

A\(\frac{36}{25}\)

B\(\frac{25}{36}\)

C-\(\frac{25}{36}\)

D-\(\frac{5}{6}\)

E-\(\frac{6}{5}\)

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Question 13

neco 2002

When a shirt is sold for N12000.00, a loss of 20% is recorded. How much should it be sold for to gain 20%?

AN4800.00

BN400

CN1800.00

DN1500.00

EN960.00

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Question 14

neco 2002

Three sets of rice x, y and z are sold for N15.00, N35.00 and N60.00 respectively per kg. It they are mixed in the ratio of 1: 3 : 2, what is the cast per kg of the mixture?

AN45.00

BN42.50

CN40.00

DN35.50

EN25.80

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Question 15

neco 2002

If sin θ = \(\frac{\sqrt{3}}{2}\) and 0 < θ < 180°, what is cos θ ?

A\(\frac{1}{\sqrt{3}}\)

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

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

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

E\(\sqrt{3}\)

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Question 16

neco 2002

What are the factors of 2x\(^2\) - xy - 3y\(^2\) ?

A(2x + 3y)(x + y)²

B(2x + 3y)(x + y)

C(2x + 3y)(x - y)

D(2x - 3y)(x + y)

E(2x - 3y)(x - y)

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Question 17

neco 2002

A quadratic equation with roots -1\(\frac{1}{2}\) and \(\frac{1}{4}\) is

Ax² + 3x + 4 = 0

B8x² + 10x + 3 = 0

C8x² +12x – 3 = 0

D8x² + 10x-3.= 0

E8x² + 12x + 3 = 0

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Question 18

neco 2002

One bag contains 4 white balls and 2 black balls. Another bag contains 3 white balls and 5 black balls, if one ball is drawn from each bag, what is the probability that both are white?

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

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

C\(\frac{7}{24}\)

D\(\frac{1}{4}\)

E\(\frac{1}{24}\)

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Question 19

neco 2002

A wire was shaped to form a square of area 81cm\(^2\). An equilateral triangle was formed by the same wire,What is the length of a side of the triangle formed?

A3cm

B6cm

C9cm

D12cm

E27cm

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Question 20

neco 2002

What is the total surface area of a cylinder with radius 2cm and height 1.5cm, correct to 2 significant figures?

A440cm\(^2\)

B220cm\(^2\)

C88cm\(^2\)

D44cm\(^2\)

E22cm\(^2\)

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