Further Mathematics Past Questions

Study and practice Further Mathematics past questions with answers and detailed explanations. Then test your knowledge using our interactive CBT practice platform and prepare confidently for your upcoming examinations.

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Past Questions

795 questions
Question 1 of 20 795 total questions
Question 261
waec 2012

\(g \circ h\) is

Aone- to- one
Bonto
Ca relation
Da series
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Question 262
waec 2012

From the diagram above, \(h[g(3)]\) is

As
B\(\beta\)
C\({s, \beta}\)
D\({s, w, \beta}\)
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Question 263
waec 2012

From the diagram above, which of the following represents the vector V in component form?

A\(-5\sqrt{3} i + 5j\)
B\(3i + 3\sqrt{3}j\)
C\(i + 2\sqrt{3}j\)
D\(-2\sqrt{3}i - j\)
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Question 264
waec 2012

The angle of a sector of a circle is 0.9 radians. If the radius of the circle is 4cm, find the length of the arc of the sector.

A3.6 cm
B7.6 cm
C8.0 cm
D11.6 cm
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Question 265
waec 2012

The distance s in metres covered by a particle in t seconds is \(s = \frac{3}{2}t^{2} - 3t\). Find its acceleration.

A\(1 ms^{-2}\)
B\(2 ms^{-2}\)
C\(3 ms^{-2}\)
D\(4 ms^{-2}\)
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Question 266
waec 2012

A box contains 4 red and 3 blue identical balls. If two are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.

A\(\frac{4}{7}\)
B\(\frac{2}{7}\)
C\(\frac{1}{7}\)
D\(\frac{1}{12}\)
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Question 267
waec 2012

Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.

A40°
B44°
C45°
D54°
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Question 268
waec 2012

Find the number of different arrangements of the word IKOTITINA.

A30240
B60840
C120960
D362880
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Question 269
waec 2012

A straight line makes intercepts of -3 and 2 on the x- and y- axes respectively. Find the equation of the line.

A2x + 3y + 6 = 0
B3x - 2y - 6 = 0
C-3x + 2y - 6 = 0
D-2x + 3y - 6 =0
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Question 270
waec 2012

Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\).

A90720
B1296
C1120
D672
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Question 271
waec 2012

Find the values of x at the point of intersection of the curve \(y = x^{2} + 2x - 3\) and the lines \(y + x = 1\).

A(1, -2)
B(0, 4)
C(2, -3)
D(1, -4)
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Question 272
waec 2012

If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).

A0
B1
C2
D3
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Question 273
waec 2012

A fair die is tossed twice. Find the probability of obtaining a 3 and a 5.

A\(\frac{5}{12}\)
B\(\frac{2}{3}\)
C\(\frac{1}{18}\)
D\(\frac{1}{36}\)
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Question 274
waec 2012

Which of the following is nor a measure of central tendency?

AMean
BVariance
CMedian
DMode
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Question 275
waec 2012

Given that \(^{n}P_{r} = 90\) and \(^{n}C_{r} = 15\), find the value of r.

A2
B3
C5
D6
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Question 276
waec 2012

In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. Find the correct mean

A19
B21
C23
D24
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Question 277
waec 2012

Find the unit vector in the direction of the vector \(-12i + 5j\).

A\(\frac{-12i}{13} - \frac{5j}{13}\)
B\(\frac{-1i}{13} + \frac{5j}{13}\)
C\(\frac{-12i}{13} + \frac{5j}{13}\)
D\(\frac{-5i}{13} + \frac{12j}{13}\)
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Question 278
waec 2012

Two forces 10N and 6N act in the directions 060° and 330° respectively. Find the x- component of their resultant.

A\(5\sqrt{3} - 3\)
B\(3 - 5\sqrt{3}\)
C\(5 - 3\sqrt{3}\)
D\(3\sqrt{3} - 5\)
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Question 279
waec 2012

Differentiate \(\frac{x}{x + 1}\) with respect to x.

A\(\frac{1}{x + 1}\)
B\(\frac{1}{(x + 1)^{2}}\)
C\(\frac{1 - x}{x + 1}\)
D\(\frac{1 - x}{(x + 1)^{2}}\)
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Question 280
waec 2012

A stone is dropped from a height of 45m. Find the time it takes to hit the ground. \([g = 10 ms^{-2}]\)

A3.0 seconds
B4.5 seconds
C5.0 seconds
D9.0 seconds
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