Mathematics Past Questions

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Past Questions

4,407 questions
Question 1 of 20 4,407 total questions
Question 891
neco 2008

The radii of two similar cylindrical jugs are in the ratio 3:7. Calculate the ratio of their volumes

A1 : 04
B3 : 07
C9 : 49
D0.086111111
E27 : 343
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Question 892
neco 2008

Simplify the expression:  \(Log_{4}16\) +  \(Log_{3}27\) + \(Log_{8}4096\) 

A-9
B\(\frac{1}{3}\)
C\(\frac{1}{9}\)
D3
E9
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Question 893
neco 2008

Find y if sin y = cos 48°

A21°
B24°
C42°
D48°
E102°
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Question 894
neco 2008

Given that x2 + y2 + k = 60 and x = \(\sqrt{10}\) when y = 4, find the value of k.

A56
B34
C32
D-34
E-56
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Question 895
neco 2008

Increase 135 in the ratio 3:5

A225
B216
C143
D140
E140
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Question 896
neco 2008

The ratio of the base area of a hollow cone to that of its curved surface is 1:4. If its base radius is 7cm, calculate the slant height of the cone

A7cm
B22cm
C28cm
D49cm
E154cm
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Question 897
neco 2008
Calculate the area of a parallelogram whose diagonals are of length 8cm and 12cm and intersect at an angle of 135°
A271.5cm2
B135.8cm2
C96.0cm2
D48.0cm2
E33.9cm2
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Question 898
neco 2008
Find the mean deviation of 20, 25, 21, 27, 28, 29, to the nearest whole number
A2
B3
C4
D5
E6
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Question 899
neco 2008

x varies directly as y and inversely as z. when x = 5, y = 2 and z = 1. What is the value of x when y = 5 and z = 2?

A2.5
B5
C6.25
D6.52
E7.5
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Question 900
neco 2008

The chances of Usman and Dele passing a Mathematics test are 3/5 and 1/3, respectively. What is the probability that neither of them passes the test?

A\(\frac{3}{5}\)
B\(\frac{2}{5}\)
C\(\frac{4}{15}\)
D\(\frac{1}{5}\)
E\(\frac{2}{15}\)
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Question 901
neco 2008
Two ladders of length 5m and 7m lean against a pole and make angles 45° and 60° with the ground respectively. What is their distance apart on the pole correct to two decimal places?
A9.60m
B6.06m
C2.54m
D2.53m
E2.00m
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Question 902
neco 2008
A sector of angle 120° is cut out from a circle of radius 13.5cm. what area of the circle is remaining ? (π = \(\frac{22}{7}\))
A14.1cm2
B95.5cm2
C190.9cm2
D381.9cm2
E763.7cm2
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Question 903
neco 2008

Twenty girls and y boys sat on an examination. The mean marks obtained by the girls and boys were 52 and 57 respectively. if the total score for both girls and boys was 2750, find y.

A51
B48
C30
D25
E18
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Question 904
waec 2008
Every staff in an office owns either a Mercedes and/or a Toyota car. 20 own Mercedes, 15 own Toyota and 5 own both. How many staff are there in the office?
A25
B30
C35
D45
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Question 905
waec 2008

In the diagram, find the size of the angle marked a°

A60o
B80o
C120o
D160o
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Question 906
waec 2008
In the diagram, < QPR = 60o

< PQR = 50o

< QRS = 2xo

< SRP = 3xo

< UQP = yo and RS//TU

calculate y
A102o
B78o
C70o
D60o
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Question 907
waec 2008
In the diagram, PX is a tangent to the circle and RST is an equilateral triangle. Calculate < PTS
A60o
B90o
C120o
D150o
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Question 908
waec 2008
If the perimeter of \(\bigtriangleup\)PQR in thr diagram is 24cm, what is the area of \(\bigtriangleup\)PRS?
A19.5cm2
B15.0cm2
C13.0cm2
D9.3cm2
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Question 909
waec 2008
In the diagram, O is the centre of the circle and PQRS is a cyclic quadrilateral. Find the value of x.
A25o
B65o
C115o
D130o
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Question 910
waec 2008

In the figure /PX/ = /XQ/, PQ//YZ and XV//QR. What is the ratio of the area of XYZQ to the area of \(\bigtriangleup\)YZR?

A1:2
B2:1
C1:3
D3:1
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