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Further Mathematics questions and answers

Further Mathematics Questions and Answers

Test your knowledge of advanced level mathematics with this aptitude test. This test comprises Further Maths questions and answers from past JAMB and WAEC examinations.

526.

Find the variance of 1, 2, 0, -3, 5, -2, 4.

A.

527

B.

407

C.

327

D.

277

Correct answer is A

Mean, ˉx=1+2+0+(3)+5+(2)+47=77=1

x (xˉx) (xˉx)2
1 0 0
2 1 1
0 -1 1
-3 -4 16
5 4 16
-2 -3 9
4 3 9
Total (n) = 7  

52

Variance = \frac{\sum (x - \bar{x)^{2}}{n}

= 527

527.

In how many ways can 9 people be seated on a bench if only 3 places are available?

A.

1200

B.

504

C.

320

D.

204

Correct answer is B

No explanation has been provided for this answer.

528.

A particle accelerates at 12ms2 and travels a distance of 250m in 6 seconds. Find the initial velocity of the particle.

A.

5.7ms1

B.

6.0ms1

C.

60.0ms1

D.

77.5ms1

Correct answer is A

s=ut+12at2

250=6u+12(12)(62)

250=6u+2166u=250216=34

u=346

529.

For what values of m is 9y^{2} + my + 4 a perfect square?

A.

\pm {2}

B.

\pm {3}

C.

\pm {6}

D.

+12

Correct answer is D

No explanation has been provided for this answer.

530.

The first term of a linear sequence is 9 and the common difference is 7. If the nth term is 380, find the value of n.

A.

45

B.

54

C.

56

D.

65

Correct answer is B

T_{n} = a + (n - 1)d

380 = 9 + (n - 1)7

380 = 9 + 7n - 7 \implies 380 = 2 + 7n

7n = 380 - 2 = 378 \therefore n = \frac{378}{7} = 54