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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

Question 1 of 20 4,407 total questions

Question 1641

waec 1994

Two solid spheres have volumes 250cm^o and 128cm^o respectively. Find the ratio of their radii.

A125:64

B25:16

C2:1

D4:3

E5:4

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Question 1642

waec 1994

In the diagram, PQRS is a trapezium with PQ||SR. STR is a straight line, PSHQT, PTHQR. If |PQ| = 12cm and the height of the trapezium is 9cm, find its area.

A96cm²

B108cm²

C135cm²

D162cm²

E216cm²

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Question 1643

waec 1994

A circle has radius x cm. What is the area of a sector of the circle with angle 135°, leaving the answer in terms of x and π?

A\( \frac{\pi x^2}{8} \)

B\( \frac{3\pi x^2}{8} \)

C\( \frac{5\pi x^2}{8} \)

D\( \frac{3\pi x}{8} \)

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Question 1644

waec 1994

Calculate, correct to 2 significant figures, the length of the arc of a circle of radius 3.5cm which subtends an angle of 75° at the centre of the circle. [Take π = 22/7].

A2.3cm

B4.6cm

C8cm

D16cm

E110cm

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Question 1645

waec 1994

Two ships on the equator are on longitudes 45oW and 45oE respectively. How far are they apart along the equator, correct to 2 significant figures? (Take the radius of earth = 6400km and π = 22/7)

A15,000km

B10,000km

C6,400km

D5,000km

E3,200km

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Question 1646

waec 1994

A cuboid of base 12.5cm by 20cm holds exactly 1 litre of water. What is the height of the cuboid? (1 litre =1000cm3)

A2cm

B4cm

C5cm

D8cm

E10cm

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Question 1647

waec 1994

The angle subtended at the centre by a chord of a circle radius 6cm is 120°. Find the length of the chord.

A3cm

B6cm

C\(4\sqrt{2}\) cm

D\(3\sqrt{3}\) cm

E\(6\sqrt{3}\) cm

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Question 1648

waec 1994

Solve the equation log8x - 4log8x = 2

A¹/₄

B¹/₂

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Question 1649

waec 1994

Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

A(6x + 5y)(x - y)

B(2x + 5y)(3x - y)

C(3x + y)(2x - 5y)

D(3x + 5y)(2x - y)

E(2x + y)(3x - 5y)

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Question 1650

waec 1994

Which of the following is a root of the equation x\(^2\) +6x = 0?

EIt does not have any root.

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Question 1651

waec 1994

Find the quadratic equation whose roots are 3 and \(\frac{2}{3}\).

Ax² - 11 / 3x + 6 = 0

Bx² - 11x + 6 = O

C3x² - 11x + 2 = O

D3X² - 11x – 2 = 0

E3x² - 11x + 6 = 0

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Question 1652

waec 1994

Which of the following is not a factors of 2p\(^2\) - 2?

Bp - 1

Cp + 1

D2p - 2

E2p + 1

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Question 1653

waec 1994

Which of the following equations can be solved by the points of intersection P and Q of the curve and the line PQ?

Ax² - 2 = 0

Bx² - 4 = 0

Cx² + 6 = 0

DX² - X – 2 = 0

Ex² - x + 4 = 0

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Question 1654

waec 1994

What is the equation of the line PQ?

Ay = x - 5

By = x + 3

Cy = x + 5

Dy = 2x + 3

Ey = 2x - 3

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Question 1655

waec 1994

In the graph above, the gradient of the curve at the point P is

A-1¹ ₃

B-³ ₄

C3/7

D3/4

E1¹ ₃

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Question 1656

waec 1994

If x is positive, for what range of values of x is 4 + 3x < 10?

A0 < x < 2

Bx < 2

C1 < x < 2

D0 < x < 4 ³ ₄

E0 > x > 2

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Question 1657

waec 1994

For what value of x is the expression \(\frac{x^2 + 15x + 50}{x - 5}\) not defined ?

A-10

B-5

E10

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Question 1658

waec 1994

If 8x- 4 = 6x- 10, find the value of 5x,

A-35

B-15

C-3

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Question 1659

waec 1994

Which of the following is a point on the curve y = x\(^2\) - 4x + 7?

A(0,6)

B(1,4)

C(2,0)

D(7,0)

E(3,2)

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Question 1660

waec 1994

Given that 2p - m = 6 and 2p + 4m = 1, find the value of (4p + 3m).

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