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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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135 questions

Question 1 of 20 135 total questions

Question 11

neco 2004

A car travels at an average speed of 75km/h. Find its speed in metres per second.

A270m/s

B208m/s

C27.0m/s

D20.8m/s

E2.08m/s

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Question 12

neco 2004

Solve the equation: \(\frac{3}{[2(x - 2)]} - \frac{2}{[3(2 - x)]} = 0\)

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

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

E-3

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Question 13

neco 2004

The first term of an A.P is equal to thrice the common difference, what is the sixth term of the A.P, if the common difference is 8?

A64

B48

C43

D24

E11

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Question 14

neco 2004

Divide the LCM of 15abc and 20a\(^2\)bc by their HCF

A10a

B12a

C5abc

D12a²bc

E60a²bc

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Question 15

neco 2004

Simplify \((216^{{\frac{1}{3}}})^{-2}\)

A\(\frac{1}{36}\)

B\(\frac{1}{18}\)

C\(\frac{1}{13}\)

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

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

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Question 16

neco 2004

The expression 4x² - 4 has the following as its factors EXCEPT

Ax - 1

Bx + 1

Cx² -1

D4x + 1

E4x - 4

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Question 17

neco 2004

Calculate (0.05 × 0.025) ÷ (4.25 × 3.35) and express your answer in standard form

A8.7796 × 10⁵

B8.7796 × 10⁴

C8.7796 × 10³

D8.7796 × 10^-3

E8.7796 × 10^-5

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Question 18

neco 2004

The angle subtended by a diameter of a circle at the circumference is a/an

Aacute angle

Bobtuse angle

Creflex angle

Dright angle

Esupplementary angle

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Question 19

neco 2004

If the first term of an AP is 1.2 and the common difference is also 2, what is the mean of the first five terms?

E10

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Question 20

neco 2004

Find the area of a triangle ABC such that a = 16cm, b = 14cm, c = 12cm, leave your answer in surd form

A5\(\sqrt{15}\)cm²

B7\(\sqrt{15}\)cm²

C21\(\sqrt{3}\)cm²

D21\(\sqrt{5}\)cm²

E21\(\sqrt{15}\)cm²

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Question 21

neco 2004

Evaluate \(1011_{two}\) + \(1101_{two}\) + \(1001_{two}\) - \(111_{two}\)

A10001\(_{two}\)

B11001\(_{two}\)

C110001\(_{two}\)

D11010\(_{two}\)

E10001\(_{two}\)

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Question 22

neco 2004

If y varies inversely as x², how does x vary with y?

Ax varies inversely as y²

Bx varies inversely as \(\sqrt{y}\)

Cx varies directly as y²

Dx varies directly as \(\sqrt{y}\)

Ex varies directly as y

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Question 23

neco 2004

The nth term of a sequence is given as \(4 \times 3^{(3 - n)}\). Calculate the third term.

A12

B32

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Question 24

neco 2004

Two angles of a triangle are 45º each and its longest side is 12cm. Find the length of one of the other sides

A12cm

B9\(\sqrt{2}\)cm

C6\(\sqrt{2}\)cm

D6cm

E3\(\sqrt{2}\)cm

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Question 25

neco 2004

Find the surface area of a sphere whose radius is 3.5cm, correct your answer to one decimal place (π = \(\frac{22}{7}\))

A12.8cm²

B25.7cm²

C77.0cm²

D154.0cm²

E179.7cm²

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Question 26

waec 2004

A point on the ground is 5m away from the foot of a vertical wall 7 m high, Calculate, correct to the nearest degree, the angle of depression of the point from the top of the wall

A36^o

B44^o

C46^o

D54^o

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Question 27

waec 2004

A bag contains 3 red and 2 white identical balls. lf 2 balls are picked at random from the bag, one after the other and with replacement, find the probability that they are of different colours

A\(\frac{36}{625}\)

B\(\frac{16}{625}\)

C\(\frac{12}{25}\)

D\(\frac{13}{25}\)

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Question 28

waec 2004

A Cooperative Society charges an interest of 5\(\frac{1}{2}\)% per annum on any amount borrowed by its members. If a member borrows N125,000, how much does he pay back after one year?

AN136875

BN131,875

CN126750

DN126250

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Question 29

waec 2004

Given that p = 2, q = -5 and r = - 4, evaluate 3p² - q² - r³

A101

B77

C51

D-27

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Question 30

waec 2004

The sides of two cubes are in the ratio 2:5. What is the ratio of their volumes?

A4:5

B8: 15

C6:125

D8:125

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