# Mock Exam Questions – Second Term Examination Mathematics SS 3

Last Updated on May 24, 2021 by Alabi M. S.

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SECOND TERM EXAMINATION

MOCK EXAMINATION

SENIOR SECONDARY SCHOOL (SS 3)

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### MATHEMATICS

SECTION A â€“ OBJECTIVESÂ

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1. Express the product of 0.06 and 0.09 in standard FORM.

a. 5.4 x 10Â¯Â³

b. 5.4 x 10Â¯Â²

c. 5.4 x 10Â¯Â¹

d. 5.4 x 10Â²

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2. Simplify (27 1/3)Â²

a. 4 Â½

b. 6

c. 9

d. 18

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Using the table below for question 3 to 5.Â

ScoreÂ  Â  Â  Â  Â  Â  Â  Â  0Â  Â  1Â  Â  2Â  Â  3Â  Â  4Â  Â  5

FrequencyÂ  Â  Â  Â  2Â  Â  3Â  Â  4Â  Â  2Â  Â  7Â  Â  2

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3. Find the mode

a. 2

b. 3

c. 4

d. 5

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4. Find the mean score

a. 0

b. 2.5

c. 3

d. 5

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5. The median score is _________.

a. 0

b. 2.5

c. 3

d. 5

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6. What is the probability of having an odd number in a single toss of a fair dice?

a. 1/6

b. 1/3

c. Â½

d. 2/3

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7. Evaluate log6 + log45 â€“ log27

a. 0

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b. 1

c. 1.1738

d. 1.3802

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8. Factorize 5y2 + 2ay â€“ 3a2

a. (5y-a)(y+3a)

b. (5y+a)(y-3a)

c. 5y2+a(2y-3a)

d. (y+a)(5y-3a)

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9. What value of K makes the given expression a perfect square? M2 â€“ 8m + k

a. 2

b. 4

c. 8

d. 16

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10. if log10A = 4; what is A?

a. 0.410

b. 40

c. 400

d. 100

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11. Find the area of triangle in fig 1.

a. 30 cmÂ²

b. 30 cmÂ³

C. 30 cmÂ¹

D. 30 cm

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12. If the 2nd and 4th terms of a G. P. are 8 and 32 respectively, what is the sum of the 1st 4 terms.

a. 28

b. 40

c. 48

d. 60

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13. Find the volume of a cone of radius 3.5cm and vertical height 12cm. Ï€=22/7

a. 3.4 cmÂ³

b. 15.5 cmÂ³

c. 21.0 cmÂ³

d. 42 cmÂ³

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14. The angle of a sector of a circle of diameter 8cm is 135o. Find the area of the sector.

a. 9 3/7 cmÂ²

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b. 12 4/7 cmÂ²

c. 12 4/7 cmÂ²

d. 25 1/7 cmÂ²

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15. If sin Î¸ =1/2 and Cos Î¸ = -âˆš3/2, what is the value of Î¸?

a. 30Âº

b. 60Âº

c. 90Âº

d. 120Âº

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16. Solve for t in equation Â¾ t + 1/3 (21-t) = 11

a. 9/13

b. 9/

c. 5

d. 9 3/5

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17. A school girl spends Â¼ of her pocket money on books and 1/3 on dress. What fraction remains?

a. 5/6

b. 7/12

c. 5/12

d. 1/6

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18. Find x, using fig 2.

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a. 18Âº

b. 28Âº

c. 35Âº

d. 44Âº

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19. If logqp = r, express p in terms of q and r.

a. p = qr

b. p = rq

c. p = r/q

d. p = qr

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20. Given that âˆš128 + âˆš18 â€“ âˆšk = 7âˆš2, find k.

a. 8

b. 16

c. 32

d. 48

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21. Divide #900 in the ratio 3 : 2

a. 540 : 300

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b. 360 : 540

c. 540 : 360

d. 500 : 400

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22. Factorize xÂ² â€“ 8x + 16 = 16.

a. (x+4) (x+4)

b. (x+4) (x-4)

c. (x-4) (x-4)

d. (x-4) (x+4)

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23. In the below triangle, x is a ___________ angle.

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a. reflex

b. obtuse

c. right

d. acute

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24. Express 0.006313 in a standard form.

a. 63.13 x 10Â²

b. 6.313 x 10Â¯Â³

c. 63.13 x 10Â¯Â²

d. 6.313 x 10Â³

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25. A point X is 34m due east of a point Y, the bearing of a flagpole from X and Y are N18Âº W and N40Âº E respectively. Calculate the distance of the flagpole Y.

a. 40.7 m

b. 30 m

c. 30.7 m

d. 40 m

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26. Fig 4 means

a. y < -2

b. y â‰¤ -2

c. y > -2

d. y â‰¥ -2

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27. Find a, when A = 58.1o, b = 10m, c = 8.5m

a. 9.5m

b. 9.4m

c. 89.8 m

d. 8.98 m

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28. Express 6700 in a standard form.

a. 6.7 x 10Â¯Â³

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b. 6.7 x 10Â³

c. 6.7 x 10Â¯Â²

d. 6.7 x 10Â¯Â²

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29. Solve for x in equation 2Ã—3 = 54

a. 4

b. 27

c. 3

d. 1/3

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30. Evaluate 3.802 x 2.09 using rough check.

a. 8

b. 7.95

c. 8.95

d.7

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31. Convert 210three to base ten.

a. 21ten

b. 20ten

c. 22ten

d. 210ten

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32. Simplify 5/2 â€“ x/2 + 5 to a single fraction.

a. (3 â€“ x) + 10/2

B. (7 â€“ x)/2

c. (13 â€“ x)/4

d. (13 â€“ x)/2

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b. 3a(b + c + d)

c. 1ab(3 + 6 + 3)

d. 3a(b â€“ 2c + d)

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34. a triangle has sides 8cm and 5cm and angles of 90o between them. Calculate the small angle.

a. 58.3Âº

b. 32.1Âº

c. 90Âº

d. 45Âº

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35. Convert 110101two to base ten.

a. 53ten

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b. 49ten

c. 55ten

d. 32ten

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36. When x = 3, y = 5. What will x be when y =25

a. 15

b. 23

c. 20

d. 27

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37. In triangle ABC, C = 53o , b = 3.56m, c = 4.28m. Calculate B.

a. 41Âº

b. 41.5Âº

c. 40Âº

d. 42Âº

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38. Q = Q3-Q1/2 defines ____________.

a. quartile

b. semi quartile

c. semi inter quartile range

d. inter quartile range

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Using fig 5 to answer 39-40.Â

39. Find x

a. 2

b. 14

c. 28

d. 48

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40. How many students are in group B?

a. 16

b. 30

c. 18

d. 42

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41. In a class of 35 students, 19 take history and 12 take economics. If 5 take both subjects, how many take neither?

a. 7

b. 8

c. 6

d. 5

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42.

a. x < -5

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b. x â‰¤ -5

c. x > -5

d. x â‰¥ -5

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43. Reduce 360x2y/300xy2 to the lowest term.

a. 6y/5x

b. 6x/5y

c. 5x/6y

d. 5y/6x

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44. Which of the statement is correct about alternating angle?

a. a = b

b. a = p

c. a = q

d. none of the above.

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45. Calculate a, using triangle ABC, A = 29Âº, B=36Âº, b=15.8cm

a. 13

b. 13.1

c. 14

d. 14.1

Using the pie chart fig 6 to answer number 46-49.Â

46. What fraction of the time is spent sleeping?

a. 3/8

b. Â¼

c. 2/5

d. 8/24

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47. What percentage of the time is spent studying?

a. 50%

b. 2.5%

c. 25%

d.33.3%

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48. How much time is spent studying?

a. 3 hrs

b. 4 hrs

c. 4 hrs 30mins

d. 5hrs

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49. How much time is spent travelling, calc. the value of x.

a. 87Âª

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b. 24Âº

c. 48o

d. 12Âº

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50. Calculate the volume of cone of fig 7.

a. 3,193.5 cmÂ³

b. 4,714.3 cmÂ³

c. 4,714.2 cmÂ³

d. 3,193.4 cmÂ³

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### SECTION B â€“ THEORY

Question 1

a. Solve 1 = 27(1-x) 81(x-2)

b. Simplify 5/âˆš7-âˆš3 + 1/âˆš7 â€“ âˆš3 leaving your answer in surd form.

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Question 2

The diagram fig 1 shows the position of 3 points X,Y,Z on the horizontal plane. The bearing of Y from X is 312o and that of Y from Z is 022o. if /XY/ = 32 km and /ZY/ = 50km. calculate, correct to one decimal place.

i. /XY/

ii. The bearing of Z from X

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Question 3Â

CLASS INTERVALÂ  Â  Â  Â  Â  Â  Â  FREQUENCY

Â  Â  Â  Â 60Â  â€“Â  64Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 2

65Â  â€“Â  69Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 3

70Â  â€“Â  74Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 6

75Â  â€“Â  79Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  11

80Â  â€“Â  84Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 8

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Â  Â  Â  Â 85Â  â€“Â  89Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 7

90Â  â€“Â  94Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 2

95Â  â€“Â  99Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â  Â 1

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Calculate the

a. Mean

b. Standard deviation of the distribution in 2 d.p.

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Question 4

a. Two positive whole number P and Q are such that P is greater than Q and their sum is equal to 3 times their difference, express P in terms of Q

b. Hence, evaluate

I. P2 + Q2

II. PQ

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