Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 1591
waec 1995
The locus of a point which is equidistant from two given fixed points is the
Aperpendicular bisector of the straight line joining them
Bangle bisector of the straight lines joining the points to the origin
Cperpendiculars to the straight line joining them
Dparallel-line to the straight line joining them
Ea line making an acute angle with the line joining the two points
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Question 1592
waec 1995
In the diagram above, AB//CD. What is the size of the angle marked x?
A103o
B93o
C77o
D62o
E52o
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Question 1593
waec 1995
In the diagram above, AB//CD, the bisector of ∠BAC and ∠ACD meet at E. Find the value of ∠AEC
A30o
B45o
C60o
D75o
E90o
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Question 1594
waec 1995

If log\(_{10}\) x = \(\bar{2}.3675\) and log\(_{10}\) y = \(\bar{2}.9738\), what is the value of x + y, correct lo three significant figures?

AO.117
B0.118
C0.903
DO.944
E0.946
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Question 1595
waec 1995

In the diagram above, PQ is parallel to TU, ∠PQR = 50°, ∠QRS = 86° and ∠STU = 64°. Calculate the value of x.

A136o
B120o
C108o
D100o
E96o
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Question 1596
waec 1995

In the diagram above, AO is perpendicular to OB. Find x

A7.5o
B15o
C22.5o
D30o
E38.6o
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Question 1597
waec 1995

In the diagram above; O is the centre of the circle and |BD| = |DC|. If ∠DCB = 35°, find ∠BAO.

A20o
B25o
C30o
D35o
E40o
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Question 1598
waec 1995

The angle of a sector of a circle is 108°. If the radius of the circle is 3\(\frac{1}{2}\)cm, find the perimeter of the sector

A6 \(\frac{3}{5}\)cm
B6 \(\frac{4}{5}\)cm
C7 \(\frac{1}{10}\)cm
D10 \(\frac{2}{5}\)cm
E13 \(\frac{3}{5}\)cm,
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Question 1599
waec 1995

A 120° sector of a circle of radius 21cm is bent to form a cone. What is the base radius of the cone?

A31/2cm
B7cm
C1O1/2cm
D14cm
E21cm
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Question 1600
waec 1995

The positions of two countries P and Q are (15°N, 12°E) and (65°N, 12°E) respectively. What is the difference in latitude?

A104o
B100o
C80o
D50o
E24o
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Question 1601
waec 1995

The diagram above shows a cone with the dimensions of its frustrum indicated. Calculate the height of the cone.

A12cm
B15cm
C18cm
D24cm
E30cm
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Question 1602
waec 1995

A hollow sphere has a volume of kcm3 and a surface area of kcm2. Calculate the diameter of the sphere.

A3cm
B6cm
C9cm
D12cm
EMore information is needed
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Question 1603
waec 1995

Find the total surface area of solid circular cone with base radius 3cm and slant height 4cm. [Take π = 22/7]

A37 5/7cm2
B66cm2
C75 3/7cm2
D78 2/7cm2
E88cm2
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Question 1604
waec 1995

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

What is the volume of the container?

A35cm3
B154cm3
C220cm3
D528cm3
E770cm3
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Question 1605
waec 1995

A cylindrical container, closed at both ends, has a radius of 7cm and height 5cm [Take π = 22/7]

Find the total surface area of the container

A35cm3
B154cm3
C220cm2
D528cm2
E770cm2
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Question 1606
waec 1995

A water tank of height \(\frac{1}{2}\) m has a square base of side \(1\frac{1}{2}\) m. lf it is filled with water from a water tanker holding 1500 litres, how many litres of water are left in the water tanker? [1000 litres = 1m\(^3\)]

A37.5litres
B375 litres
C3750 litres
D37500 litres
E375000 litres
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Question 1607
waec 1995

The diagonals AC and BD of a rhombus ABCD are 16cm and 12cm long respectively. Calculate the area of the rhombus.

A24cm2
B36cm2
C48cm2
D60cm2
E96cm2
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Question 1608
waec 1995

In the diagram above. |AB| = 12cm, |AE| = 8cm, |DCl = 9cm and AB||DC. Calculate |EC|

A10cm
B9cm
C8cm
D7cm
E6cm
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Question 1609
waec 1995

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

Find the roots of the equation y=3x\(^2\) + x - 7

A1.0 And -1.2
B1.1and-1.3
C1.4and-1.7
D2.0 and -1.9
E2.4 and -2.0
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Question 1610
waec 1995

Use the graph of y = 3x\(^2\) + x - 7 above to answer the question

What is the minimum value of y?

A-10
B-7
C-4
D-1
E2
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