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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 1241

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 1242

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 1243

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 1244

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 1245

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 1246

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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Question 1247

neco 2002

The probability that a student will pass a mathematics test is ⅗. If 3 students are chosen at random, what is the probability that at least 2 of them will pass the test?

A\(\frac{27}{125}\)

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

C\(\frac{72}{125}\)

D\(\frac{76}{125}\)

E\(\frac{81}{125}\)

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Question 1248

neco 2002

If \(\frac{t}{L}\) = \(\sqrt{(\frac{4\pi^2}{g}})\), what is the value of g when L = 4.5; t = 5 secs

A3.20 ms²

B11.31 ms²

C32.00 ms²

D56.57 ms²

E160.00 ms²

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Question 1249

neco 2002

The angle of elevation of the top (T) of a palm tree from a point (R) on the ground is 30°. The distance from R to the base (B) of the palm tree is 120m. What is the distance between T and R?

A60m

B60\(\sqrt{3}\)m

C80\(\sqrt{3}\)m

D120\(\sqrt{3}\)m

E240m

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Question 1250

neco 2002

Two parallel chords of a circle are respectively 46cm and 40cm long. If the radius of the circle is 25cm and the centre of the circle lies between the two chords, what is the distance between the chords?

A7cm

B15cm

C22cm

D26cm

E30cm

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Question 1251

neco 2002

A petrol attendant recorded the number of vehicles that bought petrol from him for -3 hours and recorded 12 cars and 27 buses. What is the probability that the next vehicle will be a bus?

A\(\frac{4}{39}\)

B\(\frac{4}{13}\)

C\(\frac{5}{13}\)

D\(\frac{6}{13}\)

E\(\frac{9}{13}\)

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Question 1252

neco 2002

If sin 30° = 0.5, what is the cosine of its complement?

A-0.866

B-0.5

C0.5

D0.866

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Question 1253

neco 2002

What is the total surface area of a cuboid whose dimensions are 12cm × 8cm × 3cm?

A312cm\(^2\)

B96cm\(^2\)

C36cm\(^2\)

D24cm\(^2\)

E12cm\(^2\)

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Question 1254

neco 2002

If , sT = \(\sqrt{\frac{[(a + T)T]}{a}}\) what does T equal?

AT = (a²s² – 1)

BT = (a²s²– 1) ÷ a

CT = a ÷ (a² - s²)

DT = a ÷ (a²s² – 1)

ET = (as – 1)²

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Question 1255

neco 2002

A cone was developed from a sector of a circle with radius10cm and an angle at the centre of 108°. What is the radius of the cone?

A9.0cm

B8.5cm

C7.2cm

D4.3cm

E3.0cm

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Question 1256

neco 2002

What is the volume of a cube if the diagonal of one of the sides is \(\sqrt{50}\)cm?

A7.07cm\(^3\)

B50.0cm\(^3\)

C125.0cm\(^3\)

D353.4cm\(^3\)

E625.0cm\(^3\)

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Question 1257

neco 2002

Evaluate 1.25 × 10\(^2\) × 0.125 × 10\(^3\) × 12.5 × 10\(^{-4}\) leaving your answer in standard form

A1.995 × 10³

B1.95 × 10²

C1.95 × 10¹

D1.95 × 10^-2

E1.95 × 10^-3

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Question 1258

neco 2002

Given that the universal set U={14,15,16,17,18,19,20}, J ={16,19,20} and K= {14,15,18}, find (J' ∩ K')1.

A{17}

B{16, 17, 19, 20}

C{1, 4, 15, 17, 18}

D{14, 15, 16, 18, 19, 20}

E{14, 15, 16, 17, 18, 19, 20}

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Question 1259

waec 2002

In the diagram, LMT is a straight line. lf O is the centre of circle LMN, OMN = 20°, LTN = 32° and |NM| = |MT|, find LNM.

A44^o

B46^o

C52^o

D70^o

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Question 1260

waec 2002

Which of the following is not a rational number?

A-5

B\(\sqrt{4}\)

C\(3\frac{3}{4}\)

D\(\sqrt{90}\)

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