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WAEC Mathematics Past Questions & Answers - Page 13

61.

The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

Find the mean

A.

33.35

B.

35.54

C.

34.45

D.

36.44

Correct answer is C

12+47+49+15+43+41+13+39+43+41+3611

= 37911

= 34.45

62.

The age (years) of some members in a singing group are: 12, 47, 49, 15, 43, 41, 13, 39, 43, 41 and 36.

Find the lower quartile

A.

12

B.

13

C.

15

D.

20

Correct answer is C

Rearranged: 12,13,15, 36, 39, 41, 41, 43, 43, 47 and 49

Lower quartile or First quartile = totalnumberofitems4

If odd: items numbers + 1 → 11items+14

124

Lower quartile = 3rd iems →15

63.

Solve y+24y13 > 1

A.

y < -10

B.

y < -2

C.

y < 2

D.

y < 10

Correct answer is B

multiply both sides by the LCM

12 x y+24 -  12 x y13 >12 x 1

3[y+2] - 4[y-1] > 12

3y + 6 - 4y + 4 > 12

-y + 2 > 12

-y > 12 - 10 = 2

y < -2

64.

In the diagram, triangle MNR is inscribed in circle MNR, and line PQ is a straight line. ∠MRN = 41 and = 141, find ∠QNR

A.

39º

B.

80º

C.

110º

D.

141º

Correct answer is B

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. ∠M = ∠R + ∠N → 141 = 41 + ∠N ∠N = 141 - 41 = 100º ∠QNR = 180 - 100 → 80º

65.

Simplify 218m21+3m

A.

2[1+3m]

B.

2[1-3m]

C.

2[1-3m2]

D.

2[1+3m2]

Correct answer is B

218m21+3m2[19m2]1+3m

2[13m][1+3m]1+3m

2[1-3m]