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WAEC Further Mathematics Past Questions & Answers - Page 106

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