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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 251

waec 2015

A farmer uses \(\frac{2}{5}\) of his land to grow cassava, \(\frac{1}{3}\) of the remaining for yam and the rest for maize. Find the part of the land used for maize

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

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

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

D\(\frac{4}{5}\)

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Question 252

waec 2015

Simplify: \(\frac{3x - y}{xy} - \frac{2x + 3y}{2xy} + \frac{1}{2}\)

A\(\frac{4x + 5y - xy}{2xy}\)

B\(\frac{5y - 4x + xy}{2xy}\)

C\(\frac{5x + 4y - xy}{2xy}\)

D\(\frac{4x - 5y + xy}{2xy}\)

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Question 253

waec 2015

The area of a rhombus is 110 cm\(^2\). If the diagonals are 20 cm and (2x + 1) cm long, find the value of x.

A5.0

B4.0

C3.0

D2.5

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Question 254

waec 2015

Which of the following is used to determine the mode of a grouped data?

ABar chart

BFrequency polygon

COgive

DHistogram

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Question 255

waec 2015

Make K the subject of the relation T = \(\sqrt{\frac{TK - H}{K - H}}\)

AK = \(\frac{H(T^2 - 1)}{T^2 - T}\)

BK = \(\frac{HT}{(T - 1)^2}\)

CK = \(\frac{H(T^2 + 1)}{T}\)

DK = \(\frac{H(T - 1)}{T}\)

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Question 256

waec 2015

In the given diagram, \(\bar{QT}\) and \(\bar{PR}\) are straight lines, < ROS = (3n - 20), < SOT = n, < POL = m and < QOL is a right angle. Find the value of n.

A35^o

B40^o

C55^o

D60^o

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Question 257

waec 2015

If \(\frac{\sqrt{2} + \sqrt{3}}{\sqrt{3}}\) is simplified as m + n\(\sqrt{6}\), find the value of (m + n)

A\(\frac{1}{3}\)

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

C1\(\frac{1}{3}\)

D1\(\frac{2}{3}\)

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Question 258

waec 2015

Tom will be 25 years old in n years' time. If he is 5 years younger than Bade, find Bade's present age.

A(30 - n)years

B(20 - n)years

C(25 - n)years

D(30 + n)years

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Question 259

waec 2015

In the diagram, VW//YZ, |WX| = 6cm, |XY| = 16cm, |YZ| = 20cm and |ZX| = 12cm. Calculate |VX|

A3cm

B4cm

C6cm

D8cm

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Question 260

waec 2015

The probability that kebba, Ebou and Omar will hit a target are \(\frac{2}{3}\), \(\frac{3}{4}\) and \(\frac{4}{5}\) respectively. Find the probability that only Kebba will hit the target.

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

B\(\frac{7}{60}\)

C\(\frac{1}{30}\)

D\(\frac{1}{60}\)

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Question 261

waec 2015

Score	0 - 4	5 - 9	10 - 14
Frequency	2	1	2

The table shows the distribution of the scores of some students in a test. Calculate the mean scores.

A5.6

B6.2

C6.6

D7.0

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Question 262

waec 2015

The scores of twenty students in a test are as follows: 44, 47, 48, 49, 50, 51, 52, 53, 53, 54, 58, 59, 60, 61, 63, 65, 67, 70, 73, 75. Find the third quartile.

A62

B63

C64

D65

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Question 263

waec 2015

The population of students in a school is 810. If this is represented on a pie chart, calculate the sectoral angle for a class of 72 students

A32^o

B45^o

C60^o

D75^o

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Question 264

waec 2015

The angle of elevation of an aircraft from a point K on the horizontal ground 30\(\alpha\). If the aircraft is 800m above the ground, how far is it from K?

A400.00m

B692.82m

C923.76m

D1,600.00m

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Question 265

waec 2015

PQRS is a square. If x is the midpoint of PQ, calculate correct to the nearest degree,

A53^o

B55^o

C63^o

D65^o

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Question 266

waec 2015

\(\begin{array}{c|c}
x & 0 & 1\frac{1}{4} & 2 & 4\\
\hline
y & 3 & 5\frac{1}{2} & &
\end{array}\)
The table given shows some values for a linear graph. Find the gradient of the line

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Question 267

waec 2015

In the diagram, O is the centre of the circle, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and < TOS = 76\(^o\). Using the diagram, find the value of angle PTR.

A76^o

B71^o

C57^o

D33^o

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Question 268

waec 2015

In the diagram, O is the centre, \(\bar{RT}\) is a diameter, < PQT = 33\(^o\) and

A73^o

B67^o

C57^o

D37^o

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Question 269

waec 2015

In the diagram, PQ//RT, QR//SU,

A134^o

B132^o

C96^o

D48^o

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Question 270

waec 2015

In the diagram, PTR is a tangent to the centre O. If angles TON = 108°, Calculate the size of angle PTN

A132^o

B126^o

C108^o

D102^o

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