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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 51

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 52

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 53

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 54

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 55

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 56

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 57

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 58

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 59

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 60

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 61

neco 2003

Two similar cylindrical cans have heights of 7cm and 21cm, if the smaller holds 250g of sugar, how many kg of sugar will the larger one hold?

A0.75

B1.5

C2.25

D3.5

E6.75

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Question 62

neco 2003

The ratio of the circumference to the diameter of a circle is approximately equal to

A2.5

B3.14

C4.83

D6.52

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Question 63

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 64

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 65

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 66

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 67

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 68

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 69

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 70

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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