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

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

1. ________ is the total distance around the boundary of a closed shape. (a) Area (b) Perimeter (c) Volume (d) Length
2. The sum of angles on a straight line is always ________. (a) 90° (b) 180° (c) 270° (d) 360°
3. Which of these instruments is NOT used for geometric construction? (a) Ruler (b) Protractor (c) Compass (d) Thermometer
4. A bar chart is used for the ________ of data. (a) collection (b) analysis (c) presentation (d) interpretation
5. An example of a regular shape is a ________. (a) tree leaf (b) square (c) cloud (d) river
6. The amount of space occupied by a three-dimensional object is called its ________. (a) area (b) perimeter (c) volume (d) capacity
7. Which of the following is a type of triangle? (a) Rectangle (b) Square (c) Isosceles (d) Circle
8. The data collected for planning purposes helps in making informed ________. (a) guesses (b) decisions (c) stories (d) jokes
9. To find the area of an irregular shape, you can use a ________. (a) ruler (b) compass (c) graph paper (d) protractor
10. The average obtained by adding all values and dividing by the number of values is the ________. (a) median (b) mode (c) mean (d) range
11. When two lines never meet, they are called ________ lines. (a) perpendicular (b) intersecting (c) parallel (d) vertical
12. The angle formed by a straight line is ________ degrees. (a) 45 (b) 90 (c) 180 (d) 360
13. Which of these is a property of alternate angles? (a) They are equal (b) They are supplementary (c) They are complementary (d) They add up to 360°
14. The sum of angles in any triangle is ________ degrees. (a) 90 (b) 180 (c) 270 (d) 360
15. ________ angles are opposite to each other when two straight lines intersect. (a) Adjacent (b) Corresponding (c) Vertically opposite (d) Alternate
16. The purpose of statistics is to collect, organize, analyze, and ________ data. (a) hide (b) present (c) destroy (d) ignore
17. A pictorial representation of data uses ________ to show quantities. (a) numbers (b) words (c) pictures (d) tables
18. The middle value in a set of ordered data is known as the ________. (a) mode (b) mean (c) median (d) average
19. Which of the following shapes has all sides equal? (a) Rectangle (b) Trapezium (c) Rhombus (d) Kite
20. The formula for the area of a rectangle is ________. (a) L + W (b) L x W (c) 2(L + W) (d) L / W
21. What is the volume of a cube with side length 5 cm? (a) 15 cm³ (b) 25 cm³ (c) 125 cm³ (d) 50 cm³
22. The correct step in constructing a perpendicular line from a point to a line is to first draw an arc that ________ the line at two points. (a) touches (b) intersects (c) runs parallel to (d) goes through
23. Angles that share a common vertex and a common arm are called ________ angles. (a) vertically opposite (b) corresponding (c) alternate (d) adjacent
24. If two parallel lines are cut by a transversal, corresponding angles are ________. (a) supplementary (b) equal (c) complementary (d) different
25. A triangle with two equal sides is called an ________ triangle. (a) equilateral (b) scalene (c) isosceles (d) right-angled
26. The need for collecting data for planning helps governments and organizations to make ________ plans. (a) random (b) informal (c) effective (d) short-term
27. A graph that uses lines to connect data points is a ________. (a) bar chart (b) pie chart (c) line graph (d) pictogram
28. The most frequent value in a data set is the ________. (a) mean (b) median (c) mode (d) range
29. To find the perimeter of a regular hexagon with side length ‘s’, the formula is ________. (a) s x s (b) 6s (c) 2s + 4s (d) s + 6
30. The formula for the volume of a cuboid is ________. (a) L + W + H (b) L x W x H (c) 2(LW + LH + WH) (d) L x W
31. Which of these is NOT a type of angle? (a) Acute (b) Obtuse (c) Reflex (d) Diameter
32. All of these are types of data presentation except ________. (a) bar chart (b) line graph (c) frequency table (d) essay
33. The main reason for measuring angles is to understand the ________ between lines or surfaces. (a) length (b) distance (c) turn (d) weight
34. Which is NOT a property of angles at a point? (a) They sum to 360° (b) They are vertically opposite (c) They are adjacent (d) They can be acute or obtuse
35. If the angles of a triangle are x, 2x, and 3x, what is the value of x? (a) 30° (b) 60° (c) 90° (d) 180°
36. The process of arranging data into groups and showing their counts is done in a ________. (a) bar chart (b) line graph (c) frequency table (d) pictogram
37. The perimeter of a square with side 8 cm is ________. (a) 16 cm (b) 32 cm (c) 64 cm (d) 8 cm
38. When constructing a perpendicular line from a point on a line, you use a compass to draw arcs that intersect ________. (a) the line (b) each other (c) the point (d) the ruler
39. The volume of a triangular prism is given by the formula: Area of base x ________. (a) perimeter (b) height (c) width (d) length
40. Which of the following statements about data is true? (a) Data is always numbers (b) Data is not useful for planning (c) Data can be presented pictorially (d) Data is only collected by governments

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

1. (a) Define perimeter. (2 marks)
(b) Calculate the perimeter of a rectangle with length 15 cm and width 8 cm. (3 marks)
(c) A square has an area of 64 cm². What is the length of one side? (3 marks)
(d) Explain how to find the area of an irregular shape using graph paper. (2 marks)

2. (a) What is the meaning of an angle? (2 marks)
(b) Differentiate between adjacent angles and vertically opposite angles. (3 marks)
(c) If two parallel lines are cut by a transversal, state two properties of the angles formed. (3 marks)
(d) List two mathematical instruments used for constructing perpendicular lines. (2 marks)

3. (a) Name and describe two types of triangles. (2 marks)
(b) The angles of a triangle are 2x, 3x, and 4x. Find the value of x and the measure of each angle. (3 marks)
(c) Explain the purpose of collecting data for planning. (3 marks)
(d) Briefly describe a bar chart. (2 marks)

4. (a) Define the terms ‘mean’ and ‘mode’ in statistics. (2 marks)
(b) Find the mean, median, and mode for the following set of numbers: 5, 8, 3, 5, 9, 2, 5, 7. (3 marks)
(c) A cuboid has a length of 10 cm, a width of 4 cm, and a height of 5 cm. Calculate its volume. (3 marks)
(d) What is a frequency table used for? (2 marks)

Objective Marking Scheme

Question 1 – ✅ (b) Perimeter
Question 2 – ✅ (b) 180°
Question 3 – ✅ (d) Thermometer
Question 4 – ✅ (c) presentation
Question 5 – ✅ (b) square
Question 6 – ✅ (c) volume
Question 7 – ✅ (c) Isosceles
Question 8 – ✅ (b) decisions
Question 9 – ✅ (c) graph paper
Question 10 – ✅ (c) mean
Question 11 – ✅ (c) parallel
Question 12 – ✅ (c) 180
Question 13 – ✅ (a) They are equal
Question 14 – ✅ (b) 180
Question 15 – ✅ (c) Vertically opposite
Question 16 – ✅ (b) present
Question 17 – ✅ (c) pictures
Question 18 – ✅ (c) median
Question 19 – ✅ (c) Rhombus
Question 20 – ✅ (b) L x W
Question 21 – ✅ (c) 125 cm³
Question 22 – ✅ (b) intersects
Question 23 – ✅ (d) adjacent
Question 24 – ✅ (b) equal
Question 25 – ✅ (c) isosceles
Question 26 – ✅ (c) effective
Question 27 – ✅ (c) line graph
Question 28 – ✅ (c) mode
Question 29 – ✅ (b) 6s
Question 30 – ✅ (b) L x W x H
Question 31 – ✅ (d) Diameter
Question 32 – ✅ (d) essay
Question 33 – ✅ (c) turn
Question 34 – ✅ (b) They are vertically opposite
Question 35 – ✅ (a) 30°
Question 36 – ✅ (c) frequency table
Question 37 – ✅ (b) 32 cm
Question 38 – ✅ (b) each other
Question 39 – ✅ (b) height
Question 40 – ✅ (c) Data can be presented pictorially