THIRD TERM EXAMINATION MATHEMATICS SENIOR SECONDARY SCHOOLS (SS 1) 

SECTION A – OBJECTIVES

INSTRUCTION – CHOOSE THE CORRECT ANSWER FROM THE OPTIONS A – D. 

1. Find x, if x² – 8x + 15 = 0.

(a) 5 , 3

(b) – 5 , – 3

(c) – 5 , 3

(d) 5 , – 3

 

2. U means _______ in set theory.

(a) unity

(b) union

(c) universal

(d) unicode

 

3. _______ is the Area of a trapezium.

(a) ½bh

(b) ½(a + b)h

(c) b x h

(d) ¾(a + b)h

 

4. Reduce (30a²b)/(20ab²) to the lowest term.

(a) 3a/2b

(b) 3ab/2a

(c) 3a²b/2ab²

(d) 15ab/10b

 

5. {1, 2, 3, 4, 5, _, _, _, _} is _______ set.

(a) null

(b) subset

(c) infinite

(d) universal

 

6. Write 24.6 x 10^-5 in a standard form.

(a) 24.6 x 10^-6

(b) 25.0 x 10^-5

(c) 2.46 x 10^-4

(d) 2.46 x 10^-7

 

7. All are polygons except _______.

(a) triangle

(b) rectangle

(c) sphere

(d) pentagon

 

8. If 4m + 6m + 10m – 10m = 50, solve for m.

(a) 3/5

(b) 5/3

(c) 5

(d) 3

 

9. If U = {L, O, N, D, O, N} and S = {O, N, D, O}, then S’ = _______.

(a) Ø

(b) {L, O, N, D}

(c) {L, N}

(d) {L}

 

10. (d – 5) (3d – 2) = 0,  d = _______ , _______

(a) 5 , 2/3

(b) 5 , 3/2

(c) 5 , 3

(d) 5 , 2

 

11. A  ⊆ B means A _______ set B

(a) element of

(b) subset of

(c) contains

(d) union

 

12. ∩ means _______.

(a) union

(b) entity

(c) intersection

(d) contain

 

13. The underlined word in SOHCAHTOA means _______.

(a) SinӨ = opp/hyp

(b) CosӨ = adj/hyp

(c) TanӨ = opp/adj

(d) SinӨ = adj/adj

 

14. All are negative in 2nd quadrant except _______.

(a) sine

(b) cosine

(c) tangent

(d) Acts

 

15. Another name for ideograph is _______.

(a) histogram

(b) pictogram

(c) pie chart

(d) bar chart

 

16. Theorem _______ states that sum of the interior angles of any n-sided convex polygon is (2n – 4) right angle.

(a) 1

(b) 2

(c) 3

(d) 4

 

17. _______ is the most occurring figure in a frequency table.

(a) Mean

(b) Median

(c) Mode

(d) Range

 

18. The mid-point of class interval is called class _______.

(a) mid – value

(b) limit

(c) boundaries

(d) width

 

19. _______ means ∑(F)/F.

(a) Mean

(b) Median

(c) Mode

(d) Range

 

20. All are 3-dimensional shapes except _______.

(a) cube

(b) cuboid

(c) sphere

(d) parallelogram

 

SECTION B – THEORY

INSTRUCTION – ATTEMPT ALL QUESTIONS IN THIS SECTION. 

QUESTION 1

The shoe sizes of a group of 24 children are –

8  6  7  5  4  6  5  7

6  5  7  6  8  5  4  6

5  5  6  7  8  8  6  7

Using the data above,

A. Re-arrange the data in an ascending order

B. Prepare a frequency table.

 

QUESTION 2

A. Construct angle 90°, 45° and 60°.

B. Find the mean of the data in question 1 above.

 

QUESTION 3

A. Find the area and perimeter of the shape in cm

 

 

 

B. Using the class interval 11 – 20, 21 – 30, _______.

I. Construct a frequency table.

II. What is class boundaries of figure 2?

 

The following is the record of marks of 40 candidates in an examination;

65  84  91  58   43

86  73  33  76  80

57  33  53  29  40

27  72  19  51  67

37  14  18  92  13

45  61  39  23  22

22  41  27  51  63

47  19  35  39  76

 

QUESTION 4

A. Construct a rectangle with length 12cm and breadth 16cm

B. State the area and perimeter of:

I. Rectangle

II. Parallelogram

III. Square

 

QUESTION 5

A. Find the area of the sector with angle 60° and radius 7cm.

B. State the 1st 3 theorems of deductive proof.