Examination on General Mathematics
Class: JSS 2
Term: Second Term
Time: 1 Hour
Total Marks: 70

SECTION A: OBJECTIVES (40 Marks)
Instruction: Answer all questions.

1. ________ is the process of multiplying out brackets in an algebraic expression. (a) Factorization (b) Expansion (c) Simplification (d) Substitution
2. When factorizing 3x + 9, the common factor is ________. (a) x (b) 3 (c) 9 (d) 3x
3. Which of the following correctly expands (a + 2)(b – 3)? (a) ab – 3a + 2b – 6 (b) ab + 2b – 6 (c) ab – 3a – 6 (d) ab + 2b
4. The value of y in the equation 4y – 6 = 14 is ________. (a) 2 (b) 3.5 (c) 5 (d) 20
5. All of these are properties of a parallelogram except ________. (a) Opposite sides are parallel (b) Opposite angles are equal (c) Diagonals bisect each other (d) All sides are equal
6. Which of these is not a monomial denominator? (a) 2x (b) 3y (c) x+y (d) 5z
7. The sum of the interior angles of a pentagon is ________. (a) 180° (b) 360° (c) 540° (d) 720°
8. Simplify the expression 5a – 2b + 3a + 7b. (a) 8a + 5b (b) 2a + 9b (c) 8a – 5b (d) 2a – 9b
9. The value of x in the equation x/3 + 2 = 5 is ________. (a) 3 (b) 9 (c) 15 (d) 21
10. A quadrilateral with only one pair of parallel sides is called a ________. (a) Rhombus (b) Trapezium (c) Rectangle (d) Square
11. The ________ of a number is the number written to the base 10. (a) Binary form (b) Denary form (c) Octal form (d) Hexadecimal form
12. Convert 1101₂ to base 10. (a) 11 (b) 13 (c) 9 (d) 7
13. Which is NOT a condition for congruence of triangles? (a) SSS (b) SAS (c) AAA (d) ASA
14. The area of a triangle with base 10 cm and height 6 cm is ________. (a) 30 cm² (b) 60 cm² (c) 16 cm² (d) 40 cm²
15. If a = 4, b = 2, calculate 2a + 3b. (a) 10 (b) 14 (c) 16 (d) 18
16. The probability of an impossible event is ________. (a) 1 (b) 0 (c) 0.5 (d) -1
17. Which of the following is an example of a discrete data? (a) Height of students (b) Number of cars (c) Weight of babies (d) Temperature of a room
18. The mean of 2, 4, 6, 8, 10 is ________. (a) 5 (b) 6 (c) 7 (d) 8
19. The main reason for collecting data is to ________. (a) make it look big (b) hide information (c) draw conclusions and make decisions (d) confuse people
20. The correct step in solving 2(x+3) = 10 is to first ________. (a) divide by 2 (b) subtract 3 (c) add 3 (d) subtract 10
21. Find the square root of 144. (a) 12 (b) 72 (c) 14 (d) 16
22. What is the value of 3³? (a) 6 (b) 9 (c) 27 (d) 81
23. Express 0.005 in standard form. (a) 5 x 10⁻³ (b) 5 x 10³ (c) 0.5 x 10⁻² (d) 50 x 10⁻⁴
24. A bearing of 090° represents the direction ________. (a) North (b) East (c) South (d) West
25. In a right-angled triangle, the side opposite the right angle is called the ________. (a) Adjacent (b) Opposite (c) Hypotenuse (d) Base
26. If a car travels 120 km in 2 hours, its average speed is ________. (a) 30 km/hr (b) 60 km/hr (c) 90 km/hr (d) 120 km/hr
27. Simplify 2x² × 3x³. (a) 5x⁵ (b) 6x⁵ (c) 6x⁶ (d) 5x⁶
28. The highest common factor (HCF) of 12 and 18 is ________. (a) 2 (b) 3 (c) 6 (d) 12
29. What is the lowest common multiple (LCM) of 4 and 6? (a) 2 (b) 12 (c) 24 (d) 36
30. Convert 2 hours to minutes. (a) 60 minutes (b) 120 minutes (c) 180 minutes (d) 240 minutes
31. The perimeter of a square with side length 7 cm is ________. (a) 14 cm (b) 28 cm (c) 49 cm (d) 7 cm
32. If x = -2, find the value of x² + 3x + 1. (a) -1 (b) 1 (c) 11 (d) -9
33. A pie chart represents data using ________. (a) bars (b) pictures (c) sectors of a circle (d) lines
34. The mode of the numbers 3, 5, 2, 5, 8, 5, 1 is ________. (a) 2 (b) 3 (c) 5 (d) 8
35. What is the median of the numbers 7, 2, 9, 4, 6? (a) 2 (b) 6 (c) 7 (d) 9
36. The exterior angle of a regular hexagon is ________. (a) 30° (b) 60° (c) 90° (d) 120°
37. A cuboid has ________ faces. (a) 4 (b) 6 (c) 8 (d) 12
38. Calculate the volume of a cube with side length 3 cm. (a) 9 cm³ (b) 18 cm³ (c) 27 cm³ (d) 36 cm³
39. If 1/2 of a number is 10, what is the number? (a) 5 (b) 10 (c) 15 (d) 20
40. What percentage of 50 is 10? (a) 10% (b) 20% (c) 25% (d) 50%

SECTION B: THEORY (30 Marks)
Instruction: Answer any THREE questions.

1. (a) Expand and simplify: (2x + 1)(x – 3) (2 marks)
(b) Factorize completely: 4a² – 16 (3 marks)
(c) The perimeter of a rectangle is 30 cm. If its length is 8 cm, find its width. (3 marks)
(d) Solve the equation: 5(y – 2) = 15 (2 marks)

2. (a) Convert 45 base 10 to a base 2 number. (2 marks)
(b) Find the mean of the following scores: 12, 15, 10, 18, 20. (3 marks)
(c) If the data 5, 8, x, 12, 15 has a mean of 10, find the value of x. (3 marks)
(d) Convert 11101₂ to base 10. (2 marks)

3. (a) State the sum of the interior angles of a hexagon. (2 marks)
(b) In a right-angled triangle, if the two shorter sides are 6 cm and 8 cm, calculate the length of the hypotenuse. (3 marks)
(c) A ladder 10m long leans against a vertical wall. If the foot of the ladder is 6m away from the wall, how high up the wall does the ladder reach? (3 marks)
(d) Differentiate between a rhombus and a square based on their properties. (2 marks)

4. (a) Share N900 between Bola and Mary in the ratio 2:3. (2 marks)
(b) If 3 men can