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Mathematics Past Questions

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

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179 questions

Question 1 of 20 179 total questions

Question 21

neco 2005

If 2x : ( x + 1) = 3 : 2, what is the value of x?

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

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

E3\(\frac{1}{2}\)

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Question 22

neco 2005

Two fair dice are tossed together once. What is the probability of getting a total of at least 9 from the outcome?

A\(\frac{1}{9}\)

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

C\(\frac{5}{18}\)

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

E\(\frac{13}{18}\)

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Question 23

neco 2005

The parallel sides of a trapezium are 13cm and 7cm. If the area of the trapezium is 50cm2, find the perpendicular distance between the parallel sides.

A5cm

B6cm

C7cm

D10cm

E12cm

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Question 24

neco 2005

If 25a² = 5^-1 × 125. Find the value of a?

Aa = -1

Ba = 1

Ca = ±1

Da = ±5

Ea = 25

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Question 25

neco 2005

A chord 20cm long subtends an angle of 60° at the circumference of a circle, what is the diameter of the circle the nearest cm?

A12cm

B20cm

C23cm

D60cm

E80cm

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Question 26

neco 2005

T varies directly as D and inversely as A. Given that T = 6, D = 3, and A = 2, find A when T = 3 and D = 6.

D12

E24

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Question 27

neco 2005

3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20

AI only

BII only

CIII only

DI and II only

EI and III only

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Question 28

neco 2005

Simplify P^-6 × P³ × P² ÷ P⁴ × P⁰

Ap⁵

Bp⁴

Cp³

Dp^-3

Ep^-5

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Question 29

neco 2005

Find the standard deviation of the numbers 6, 9, 10, 8 and 7

A1.4

C2.4

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Question 30

neco 2005

If 7 is subtracted from twice a certain number x, the result is at most 5. What is the range of the number?

Ax < 2

Bx < 3

Cx < 4

Dx < 5

Ex < 6

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Question 31

neco 2005

If log 3 = 0.4771 and log 2 = 0.3010, what is the value of log 12?

A0.0432

B0.4322

C1.0791

D1.2552

E1.5225

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Question 32

neco 2005

If a = {x : 1 < x < 9} ; b = {x : 0 < x < 9} ; C = {x : 2 x < 9} and a, b, c U, what are the elements in U?

AU = {-1 < x < 9}

BU = {0 < x < 9}

CU = {1 < x < 9}

DU = {1 < x < 10}

E{2 < x < 10}

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Question 33

neco 2005

A is at 50°N and B is at 10°N, If A and B are on the same longitude, find the distance AS. Correct your answer to Four significant figures. (Earth radius = 6400km)

A6468km

B5469km

C4470km

D3470km

E2488km

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Question 34

neco 2005

Calculate without using tables Tan 45° + Cos 60°

A\(\sqrt{\frac{3}{2}}\) - 1

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

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

D\(\sqrt{\frac{3}{2}}\) + 1

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Question 35

neco 2005

A ship sails 6km from a port on a bearing 070° and then 8km on a bearing of 040°. Find the distance from the port.

A7.21km

B13.53km

C16.86km

D44.57km

E67.17km

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Question 36

neco 2005

What is the Value of 11101\(_{two}\)+ 10011\(_{two}\) - 10001\(_{two}\)?

A10001\(_{two}\)

B10011\(_{two}\)

C10111\(_{two}\)

D11111\(_{two}\)

E111111\(_{two}\)

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Question 37

neco 2005

Evaluate 0.0025 × 2.5 × 10\(^2\) to 2 significant figures.

A0.625 × 10^-3

B0.63 × 10^-2

C6.25 × 10^-3

D6.3 × 10^-2

E6.3 × 10^-1

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Question 38

neco 2005

If x + \(\frac{1}{x}\) = 8, find x\(^2\) + \(\frac{1}{x^2}\)

A64

B62

C32

D16

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Question 39

neco 2005

A surveyor measured the length of a obtained 42.55 metres. If his measurement was more than the actual length and the percentage error of his measurement was 8%, calculate the actual length of the land

A39.40 metres

B46.20 metres

C46.25 metres

D46.50 metres

E48.25 metres

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Question 40

neco 2005

Solve for x in the quadratic equation. 2x² + 12x + 10 = 0

Ax = -5, -1

Bx = -5,1

Cx = -3, -2

Dx = 3, 2

Ex = 6, 5

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