MATHEMATICS MOCK EXAM QUESTIONS FOR SS3

SS3 MATHEMATICS MOCK EXAM QUESTIONS – EDUDELIGHT.COM

                                   MOCK EXAMINATION

Examination malpractices may lead to a repeat of the subject or suspensions don’t be involved.

SUBJECT:    MATHEMATICS   TIME ALLOWED: 3HRS         CLASS: S.S 3

1.       Evaluate (111_two)² – (101_two)² (a) 10_two (b) 100_two (c) 1100_two (d) 11000_two

2.       Express the product of 0. 06 and 0. 09 in standard form. (a) 5.4 x 10^-3 (b) 5.4 x 10^-2 (c) 5.4 x 10^-1 (d) 5.4 x 10^-2

3.       Find the 8^th term of the A. P. -3, -1 1 …………… (a) 13 (b) 11 (c) -8 (d) -11

Use the following for questions 4 to 6

A group of students took a test and the following frequency table shows the scores:

score	0	1	2	3	4	5
frequency	2	3	4	2	7	2

4.       Find the mode (a) 2 (b) 3 (c) 4 (d) 5 (e) 7

5.       Find the mean score (a) 1.75 (b) 2 (c) 2.5 (d) 2.75 (e) 3

6.       The median score is (a) 0 (b) 2.5 (c) 3 (d) 5 (e) 7

7.       If cos 60⁰ =  which of the following angles has a cosine of? (a) 30⁰ (b) 120⁰ (c) 150⁰ (d) 120⁰

8.       Evaluate log₁₀6 + log₁₀45 – log₁₀27 without using logarithm tables (a) 0 (b) 1 (c) 1.1738 (d) 1.3802

9.       What value of k makes the given expression a perfect square? M² – 8m + k. (a) 2 (b) 4 (c) 8 (d) 16 (e) 64

10.     What is the probability of throwing a number greater than 2 with a single fair die? (a)  (b) 1 (c)  (d)  (e)

11.     A fair die is rolled once. What is the probability of obtaining 4 or 6? A.   B.  C.   D.  

12.     If x varies inversely as y varies directly as z. what is the relationship between x and z? (a) zz (b) x (c) xz² (d) x

13.     Find the gradient of the line joining the points (2- 3) and (2,5) (a) 0 (b) 1 (c) 2 (d) undefined

14.     If (x – a) is a factor of bx – ax + x² – ab, find the other factor. (a) (x + b) (b) (x – b) (c) (a + b) (d) (a – b)

15.     The area of a sector of a circle with diameter 12cm is 66cm² if the sector is folded is to form a cone calculate the radius of the base of the cone [take  = ] (a) 3.0cm (b) 3.5cm (c) 7.0cm (d) 7.5cm

16.     A chord, 7cm long, is drawn in a circle with radius 3.7cm. calculate the distance of the chord from the center of the circle. (a) 0.7cm (b) 1.2cm (c) 2.0cm (d) 2.5cm

17.     A right circular cone is such that its radius r is twice its height h. find its volume in terms of h. (a) ² (b) ³ (c) ² (d) ³

18.     A man made a loss of 15% by selling an article for N 595. Find the cost price of the article. (a) N 600 (b) N 684. 25 (c) N 700. 00 (d) N 892. 50

19.     The bearing of P from Q is x, where 270⁰ < x < 360⁰. Find the bearing of Q from P.  (a) (x – 90)⁰ (b) (x – 270)⁰ (c) (x – 135)⁰ (d) (x – 180)⁰

20.     Which of the following is not a measure of dispersion? (a) range (b) mean deviation (c) mean (d) standard deviation

21.     If log 5.957 = 0.7750, find log 3 0.0005957

                         (a) 4. 1986 (b) 2. 9250 (c) 1. 5917 (d) 1. 2853

22.     In what modulus is it true that 9 + 8 = 5? (a) mod 10 (b) mod 11 (c) mod 12 (d) mod 13

23.     If 20 (mod 9) is equivalent to y (mod 6), find y (a) 1 (b) 2 (c) 3 (d) 4

24.     The ratio of the exterior angle to the interior angle of a regular polygon is 1: 11. How many sides has the polygon? (a) 30 (b) 24 (c) 18 (d) 12.

25.     P and Q are two places on the same circle of latitude 79⁰s. P is on longitude 68⁰, E, while Q is on longitude 22⁰W. the angular distance between P and Q is (a) 12⁰ (b) 45⁰ (c) 48⁰ (d) 90⁰

3m

B

26.     the angle of elevation of X from Y is 30⁰. If XY = 40m, how high is X above the level of Y? (a) 10m (b) 20m (c) 20          (d) 40m (e) 50m

y

27.     Find y in the diagram below.

(a)     4. 01cm (b) 3. 87cm (c)  3. 78cm (d) 2. 87cm (e) 2. 78cm

28.     A sector of a circle of radius 14cm subtends an angle of 135⁰ at the center of the circle. What is the perimeter of the sector? (Take) (a) 47cm (b) 51cm (c) 61cm (d) 88cm

29.     The vertex angle of an isosceles triangle is 80⁰. If the base is 8cm long, what is the length of each of the equal sides? (a) 6.2cm (b) 8.0cm (c) 8.8cm (d) 9.0cm (e) 12.4cm

30.     Calculate the mean deviation of the numbers 0, -1, -3, 4, 5, 1. (a) 0 (b) 2 (c)  (d)

31.     If x    x     = 1000, find x. (a) 10 (b) 10    10  (c) 10² (d) 10³

32.     What is the value of  if sin 2 = cos 52⁰? (a) 18⁰ (b) 19⁰ (c) 38⁰ (d) 64⁰ (e) 72⁰

33.     If x + 2y = 1 and x – y = 2, find the value of x + y. (a)  (b) 1 (c) -1 (d)

34.     What value of k makes the expression y² – 6y + k a perfect square? (a) 1 (b) 2 (c) 3 (d) 6 (e) 9

35.     A rhombus has diagonals of lengths 24cm and 10cm. calculate the perimeter of the rhombus. (a) 13cm (b) 17cm (c) 26cm (d) 34cm (e) 52cm

36.     A pyramid on a square base of side 10cm has a height of 15cm. find its volume (a) 150cm³ (b) 500cm³ (c) 1500cm³ (d) 5000³

37.     Use the relation c = 5/9 (f – 32), to find f when c = 40 (a) 67 (b) 77 (c) 81 (d) 104

38.     The nth term of a sequence is 2^{3n – 2} which term of the sequence is 2¹³? a. 6^th b. 5^th c. 4^th d. 3^rd  

39.     Solve the equation log₁₀ x – log₁₀ (2x – 38) = 1 (a) 0 (b) -1 (c) -2 (d) 1 (e) 2

40.     The bearing of a point A from a point B is 042⁰. Calculate the bearing of B from A (a) 228⁰ (b) 222⁰ (c) 138⁰ (d) 48⁰ (e) 42₀

41.     If the mean of the numbers 2, 3, 5, (6 – k), and (2 + 2k) is 4, find the value of k. (a) 2 (b) 3  (c) 4 (d) 5 (e) 6

42.     Which of the following is not a quadratic expression? (a) 3x² – 2x (b) x(x – 3) (c) x² – 5 (d) 5x (x – 2) (e) 5 (x – 1)

43.     Calculate the sum to infinity of the series 12 + 6 + 3 + ….. (a) 15 (b) 21 (c) 24 (d) 30

44.     Each exterior angle of a polygon is 30⁰. Calculate the sum of the interior angles. (a) 540⁰ (b) 720⁰ (c) 1080⁰ (d) 1800⁰

45.     In what modulus is it true that 9 + 8 = 5? (a) mod 10 (b) mod 11 (c) mod 12 (d) mod 13

46.     If x + 0. 4y = 3 and y = ½ x, find the value of (x + y). (a) 1 ¼ (b) 2 ½ (c) 3 ¾ (d) 5

47.     A pyramid of volume 120cm² has a rectangular base which measures 5cm by 6cm. calculate the height of the pyramid (a) 5cm (b) 9cm (c) 12cm (d) 15cm

48.     The square root of a number is 2k. What is half of the number? (a) Ök/2 (b) Ök (c) ½ k² (d) 2k²

49.     What must be added to be expression x² – 18x to make it a perfect square? (a) 3 (b) 9 (c) 36 (d) 72 (e) 81

50.     The areas of a parallelogram is 513cm² and the height is 19cm calculate the base? (a) 13. 5 cm (b) 25cm (c) 27cm (d) 54cm (e) 108cm

SS3 MATHEMATICS MOCK EXAM QUESTIONS – EDUDELIGHT.COM

THEORY SECTION A

INSTRUCTION: Answer all the five (5) question from this section

1(a).  Without using table or calculator

          Simplify:           0.25×3.3×4200

       2.1×1.65×2     leaving your answer in standard form

(b).    Solve for x if log₁₀ (3x+1) +log₁₀ (2x-5) =0

2(a)   Given U= (1,2,3,4,5,6,7,8), x= {1,3,5,7} and Y={1,5,8} find: (i) x¹ÇY (ii) (x¹ÈY)¹

(b)     The probabilities that kwakwe and sekyere will pass an examination are 2/3 and ¾ respectively. If both take the examination, find the probability that exactly one of them will pass.

3.       The quantity y is partly constant and party varies inversely as the square of x.

          (a) Write down relationship between x and y.

          (b) When x=1, y=11 and when x=2, y=5, find the value of y when x=4

4.       In a class of 45 students, 32 offered Physics (P), 28 offered Government (G) and 12 did not offer any of the two subjects.

          (i) Draw the venn diagram to represent the information.

          (ii) How many students offered both physics and government?

          (iii) What is n(P U G)?

4(b).  if P= 2u and q=1+u  

                   1-u           1-u

          Express p+q in terms of u.

5.       Two fair dice tossed together once.

          (a) Draw the sample space for the possible outcomes.

          (b) Find the probability of getting a total: (i) of 7 or 8 (ii) Less than 4

MATHEMATICS MOCK EXAM QUESTIONS FOR SS3- EDUDELIGHT.COM

SECTION B

Answer any five (5) question only from this part.

All questions carry equal marks.

6a.     Copy and complete the following table of values for the relation: y = x²-2x-2

X	-4	-3	-2	-1	0	1	2
Y				-3	-2

6b.     using a scale of 2cm to 1 unit on both axes draw the graph of  y= x² + 2x for -4 < x < 2

6c.     use your graph to: (i) find the roots of the equation x² + 2x = 2

                                      (ii) Indicate the region where x² + 2x < 0. 5

7a.     if 3^x + 3^{x + 1} = 36 find x

7b.     the bearing of p from x 10cm away is 025⁰. Another point Q is 6km from x and on a bearing of 162⁰. Calculate the: (i) distance PQ (ii) bearing of P from Q

8a.     if 3, x, y, 18 are in arithmetic progression (A.P), find the value of x and y

b. (i)  the sum of the second and third term of a geometric progression is six times the forth term. Find the two possible values of the common ratio

(ii)     if the second term is 8 and the common ratio is positive, find the six terms

9a.     if the mean of m, n, s, p and q is 12, calculate the mean of (m + 4), (n – 3), (s + 6), (p – 2) and (q + 8)

b.       in a community of 500 people, the 75^th percentile age is 65 years while the 25^th percentile age is 15 years. How many of the people are between 15 and 65 years?

10a.   when the numerator and denominator of a fraction are increased by 1 and 3 respectively the fraction is ½ the denominator of this fraction is 4 greater than its numerator. Find the fraction

  b.     find the value of 5(x – y) if 4x² – 9y² = 7 and 2x + 3y = 7

11a.   lamina brought a book for N 300. 00 and sold it to bola at a profit of x% bola then sold the same book to James at a profit of x%. if James paid N (6x +  ) more for the book than what lamin paid, find the value of x

b.       find the range of values of x which satisfies the inequality 3x – 2 < 10 + x < 2 + 5x

12.     If  m = {x: 1 < x < 10} or = m {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 5, 8} while (b) {even number}, find (i) a Ç b (ii) a È b (iii) a¹ Ç b¹ (iv) a Çb

SS3 MATHEMATICS MOCK EXAM QUESTIONS – EDUDELIGHT.COM