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Mathematics Past Questions

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1,853 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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1,853 questions

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Question 301

waec 2013

The distance between two towns is 50km. It is represented on a map by 5cm. Find the scale used

A1: 1,000,000

B1: 500,000

C1: 100,000

D1: 10,000

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Question 302

waec 2013

The slant height of a cone is 5cm and the radius of its base is 3cm. Find, correct to the nearest whole number, the volume of the cone. ( Take \(\pi = \frac{22}{7}\))

A48cm³

B47cm³

C38cm³

D12cm³

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Question 303

waec 2013

A pyramid has a rectangular base with dimensions 12m by 8m. If its height is 14m, calculate the volume

A322m³

B448m³

C632m²

D840m²

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Question 304

waec 2013

Given that P = x² + 4x - 2, Q = 2x - 1 and Q - p = 2, find x

A-2

B-1

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Question 305

waec 2013

An interior angle of a regular polygon is 5 times each exterior angle. How many sides has the polygon?

A15

B12

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Question 306

waec 2013

Express \(\frac{2}{x + 3} - \frac{1}{x - 2}\) as a simple fraction

A\(\frac{x - 7}{x^2 + x - 6}\)

B\(\frac{x - 1}{x^2 + x - 6}\)

C\(\frac{x - 2}{x^2 + x - 6}\)

D\(\frac{x - 27}{x^2 + x - 6}\)

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Question 307

waec 2013

When a number is subtracted from 2, the result equals 4 less than one-fifth of the number. Find the number

A11

B\(\frac{15}{2}\)

D\(\frac{5}{2}\)

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Question 308

waec 2013

What is the locus of the point X which moves relative to two fixed points P and M on a plane such that < PXM = 30^o

Athebisector of the straight line joining P and M

Ban arc of a circle with PM as a chord

Cthe bisector of angle PXM

Da circle centre X and radius PM

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Question 309

waec 2013

The graph of the relation y = x2 + 2x + k passes through the point (2, 0). Find the values of k

Azero

B-2

C-4

D-8

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Question 310

waec 2013

If y varies directly as the square root of (x + 1) and y = 6 when x = 3, find x when y = 9

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Question 311

waec 2013

Find the values of k in the equation 6k² = 5k + 6

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

B{\(\frac{-2}{3}, \frac{3}{2}\)}

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

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

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Question 312

waec 2013

If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 4), where y is an integer, find p\(\cap\)Q

A{3, 4}

B{3, 7}

C{3, 4, 5, 6, 7}

D{4, 5, 6}

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Question 313

waec 2013

If 2 log x (3\(\frac{3}{8}\)) = 6, find the value of x

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

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

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

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

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Question 314

waec 2013

Which of the following is not a probability of Mary scoring 85% in a mathematics test?

A0.15

B0.57

C0.94

D1.01

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Question 315

waec 2013

The bearing of Y from X is 060º and the bearing of Z from Y = 060º. Find the bearing of X from Z

A300^o

B240^o

C180^o

D120^o

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Question 316

waec 2013

An object is 6m away from the base of a mast. The angle of depression of the object from the top pf the mast is 50^o, Find, correct to 2 decimal places, the height of the mast

A8.60m

B7.51m

C7.15m

D1.19m

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Question 317

waec 2013

If sin x = \(\frac{5}{13}\) and 0^o \(\leq\) x \(\leq\) 90^o, find the value of (cos x - tan x)

A\(\frac{7}{13}\)

B\(\frac{12}{13}\)

C\(\frac{79}{156}\)

D\(\frac{209}{156}\)

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Question 318

waec 2013

A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid

A1cm

B3cm

C5cm

D6cm

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Question 319

waec 2013

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord

A2\(\sqrt{21}\)cm

B\(\sqrt{42}\)cm

C2\(\sqrt{19}\)cm

D\(\sqrt{21}\)cm

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Question 320

waec 2013

Given that \(p^{\frac{1}{3}}\) = \(\frac{\sqrt[3]{q}}{r}\), make q the subject of the equation

Aq = p\(\sqrt{r}\)

Bq = p³r

Cq = pr³

Dq = pr^{\(\frac{1}{3}\)}

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