Mathematics Past Questions

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Past Questions

1,853 questions
Question 1 of 20 1,853 total questions
Question 771
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 772
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 773
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 774
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 775
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 776
waec 1994

Solve the equation log8x - 4log8x = 2

A1/4
B1/2
C1
D2
E4
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Question 777
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 778
waec 1994

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

A0
B1
C2
D3
EIt does not have any root.
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Question 779
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 780
waec 1994

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

A2
Bp - 1
Cp + 1
D2p - 2
E2p + 1
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Question 781
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 782
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 783
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 784
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 785
waec 1994

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

A-10
B-5
Co
D5
E10
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Question 786
waec 1994

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

A-35
B-15
C-3
D3
E7
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Question 787
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 788
waec 1994

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

A1
B3
C5
D7
E9
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Question 789
waec 1994

E = (integers \(\leq\) 20), P = (multiples of 3), Q = (multiples of 4), what are the elements of P'∩Q? 

A(12)
B(4, 8, 16, 20)
C(3, 6, 9, 15, 18)
D(1,2,5,7,10,11,13,17,19)
E(3, 4, 6, 8, 9, 12, 15, 16, 18, 20)
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Question 790
waec 1994

The sum of the 1st and 2nd terms of an A.P. is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms.

A11
B20
C21
D22
E24
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