You’re welcome to our school exams series where we provide you with termly examination questions in different subjects. In today’s post, we will focus on Mathematics exam questions. We will cover Mathematics exam questions for JSS2 Third term with answers. This means that we’ll be providing you with answers to the questions at the end. Also, you will get a few success tips on how to pass Mathematics examinations with flying colors. Remember to use the comments sections if you have questions, and don’t forget to join our Free Online Tutorial Classes on Facebook. (Like and Follow Page)
Table of Contents
Introduction to Mathematics as a School Subject
Mathematics is a subject that deals with numbers, shapes, patterns, and logical thinking. It helps students to solve problems, make decisions, and understand the world around them. In school, Mathematics includes topics like arithmetic, algebra, geometry, and statistics. It is used in daily life activities such as buying and selling, telling time, measuring, and planning. Learning Mathematics also helps students develop reasoning and critical thinking skills that are useful in every subject and career.
Mathematics Exam Questions for JSS2 Third Term
Mathematics Exam Questions for JSS2 Third Term are divided into two sections:
- Section A
- Section B
The first section, namely, Section A is the objective test, and students are expected to attempt all questions in the section. Section B is the theory part, and students are expected to follow specific instruction and answer the required number of questions.
Note that what you have below are JSS2 Mathematics Third Term Exam Past Questions made available to assist students in their revision for 3rd term examinations and also teachers in structuring standard examinations.
SECTION A: Objectives
Instruction: Answer all questions in this section by choosing from the options lettered A—D. Each question carries equal marks.
1. The sum of the interior angles of a triangle is
(a) 90° (b) 180°
(c) 270° (d) 360°
2. A polygon with all sides and angles equal is called
(a) Concave (b) Convex
(c) Regular (d) Irregular
3. The number of triangles in a pentagon is
(a) 2 (b) 3
(c) 4 (d) 5
4. The sum of the exterior angles of any polygon is
(a) 90° (b) 180°
(c) 270° (d) 360°
5. An angle of elevation is measured from the
(a) Horizontal plane
(b) Vertical plane
(c) Ground level
(d) Top of the object
6. If the angle of elevation of the top of a tree is 30° and the distance from the base is 10m, the height of the tree is approximately
(a) 5m (b) 8.7m
(c) 10m (d) 17.3m
7. The relationship between angle of elevation and depression for two points is that they are
(a) Equal
(b) Complementary
(c) Supplementary
(d) Opposite
8. A bearing of 045° is an example of
(a) Compass bearing
(b) Acute-angle bearing
(c) Three-figure bearing
(d) Back bearing
9. The reciprocal bearing of 270° is
(a) 090° (b) 180°
(c) 270° (d) 360°
10. A scale drawing with a ratio of 1:50 means 1cm on the drawing represents
(a) 5cm (b) 50cm
(c) 5m (d) 50m
11. Using ICT in mathematics helps in
(a) Manual calculations
(b) Solving complex equations
(c) Drawing manually
(d) Writing letters
12. A flow chart is used to
(a) Store data
(b) Represent processes
(c) Draw shapes
(d) Calculate sums
13. Constructing a 60° angle requires a
(a) Protractor (b) Ruler
(c) Compass (d) Set square
14. Bisecting a 90° angle will give
(a) 30° (b) 45°
(c) 60° (d) 90°
15. A triangle with sides 3cm, 4cm, and 5cm is
(a) Equilateral (b) Isosceles
(c) Scalene (d) Right-angled
16. The area of a triangle with base 6cm and height 4cm is
(a) 10cm² (b) 12cm²
(c) 24cm² (d) 48cm²
17. A frequency table with grouped data is used to
(a) Calculate mean
(b) Organize data
(c) Draw graphs
(d) All of the above
18. A pie chart represents data in
(a) Bars (b) Sectors
(c) Lines (d) Dots
19. The probability of an event that cannot occur is
(a) 0 (b) 0.5
(c) 1 (d) 2
20. If a die is rolled, the probability of getting an even number is
(a) 1/6 (b) 1/3
(c) 1/2 (d) 2/3
21. The sum of interior angles of a hexagon is
(a) 360° (b) 540°
(c) 720° (d) 900°
22. An angle of depression is measured from the
(a) Top down
(b) Bottom up
(c) Horizontal
(d) Vertical
23. The bearing 135° can be converted to an acute angle as
(a) 35° (b) 45°
(c) 55° (d) 65°
24. A scale drawing of a 100m road with scale 1:2000 will be
(a) 5cm (b) 10cm
(c) 20cm (d) 50cm
25. Using Excel in mathematics can help with
(a) Word processing
(b) Data analysis
(c) Graphic design
(d) Video editing
26. A punch card is used to
(a) Draw graphs
(b) Store information
(c) Solve equations
(d) Print documents
27. Constructing a triangle with two sides and included angle requires
(a) Compass and ruler
(b) Protractor only
(c) Set square only
(d) Ruler only
28. The bisector of a 120° angle is
(a) 30° (b) 60°
(c) 90° (d) 120°
29. A quadrilateral with all sides equal but angles not equal is a
(a) Square (b) Rhombus
(c) Rectangle (d) Trapezium
30. The area of a circle with radius 7cm is approximately
(a) 21.98cm² (b) 43.96cm²
(c) 153.86cm² (d) 307.72cm²
31. In a frequency table, the total frequency is the sum of
(a) Classes (b) Intervals
(c) Means (d) Frequencies
32. A pie chart with 4 sectors requires angles totaling
(a) 90° (b) 180°
(c) 270° (d) 360°
33. The experimental probability is based on
(a) Theory
(b) Actual trials
(c) Assumptions
(d) Predictions
34. The probability of getting a head when tossing a fair coin is
(a) 0 (b) 0.5
(c) 1 (d) 2
35. The sum of interior angles of an octagon is
(a) 720° (b) 900°
(c) 1080° (d) 1440°
36. If the angle of elevation is 45° and the distance is 10m, the height is
(a) 5m (b) 7.07m
(c) 10m (d) 14.14m
37. The three-figure bearing of North is
(a) 000° (b) 090°
(c) 180° (d) 270°
38. A scale of 1:100 means 1cm represents
(a) 1m (b) 10m
(c) 100m (d) 1000m
39. ICT tools in mathematics include
(a) Pen and paper
(b) Calculator
(c) Books
(d) Chalkboard
40. A flow chart symbol for process is a
(a) Circle (b) Rectangle
(c) Diamond (d) Arrow
41. Constructing a 90° angle can be done with a
(a) Compass (b) Protractor
(c) Ruler (d) Set square
42. Bisecting a 180° angle gives
(a) 45° (b) 90°
(c) 135° (d) 180°
43. A triangle with two equal sides is
(a) Equilateral (b) Isosceles
(c) Scalene (d) Right-angled
44. The area of a rectangle with length 8cm and width 5cm is
(a) 13cm² (b) 20cm²
(c) 40cm² (d) 80cm²
45. A grouped frequency table has
(a) One class
(b) Multiple classes
(c) No classes
(d) Random data
46. The angle of a pie chart sector representing 25% is
(a) 45° (b) 90°
(c) 180° (d) 360°
47. The theoretical probability of an event is based on
(a) Experiments
(b) Total outcomes
(c) Guesses
(d) Past data
48. The probability of rolling a 6 on a die is
(a) 1/6 (b) 1/3
(c) 1/2 (d) 1
49. The sum of interior angles of a quadrilateral is
(a) 180° (b) 270°
(c) 360° (d) 540°
50. An angle of elevation of 60° with a 10m base gives a height of approximately
(a) 5m (b) 8.7m
(c) 17.3m (d) 20m
51. The bearing 225° is in which quadrant?
(a) First (b) Second
(c) Third (d) Fourth
52. A scale drawing of a 50m field with scale 1:500 is
(a) 5cm (b) 10cm
(c) 25cm (d) 50cm
53. Using a computer for mathematics calculations is an example of
(a) Manual method
(b) ICT application
(c) Traditional drawing
(d) Handwriting
54. A punch card uses
(a) Holes (b) Lines
(c) Colors (d) Numbers
55. Constructing a triangle with three sides requires
(a) Protractor
(b) Compass and ruler
(c) Set square
(d) Ruler only
56. The bisector of a 30° angle is
(a) 10° (b) 15°
(c) 20° (d) 30°
57. A parallelogram has
(a) No equal sides
(b) Two equal sides
(c) Opposite sides equal
(d) All sides equal
58. The area of a circle with diameter 14cm is approximately
(a) 49cm² (b) 154cm²
(c) 308cm² (d) 616cm²
59. In a frequency table, the mode is the
(a) Average
(b) Most frequent value
(c) Total
(d) Median
60. A pie chart with 3 sectors requires angles totaling
(a) 90° (b) 180°
(c) 270° (d) 360°
61. The probability of an event that is certain to occur is
(a) 0 (b) 0.5
(c) 1 (d) 2
62. The probability of getting a number less than 4 on a die is
(a) 1/6 (b) 1/2
(c) 2/3 (d) 5/6
SECTION B: Essay
INSTRUCTION – Answer all five (5) questions in this section. Show all working clearly.
1. A polygon has 8 sides. Calculate the sum of its interior angles and the size of each interior angle if it is regular.
2. A ladder 5m long leans against a vertical wall. If the foot of the ladder is 3m away from the wall, calculate the angle of elevation of the ladder to the nearest degree.
3. A map uses a scale of 1:25,000. If the distance between two towns on the map is 8cm, calculate the actual distance between the towns in kilometers.
4. Construct a triangle ABC with AB = 6cm, BC = 5cm, and included angle ABC = 45°. Measure and state the length of AC.
5. The marks obtained by 20 students in a test are as follows: 45, 67, 89, 34, 56, 78, 90, 23, 45, 67, 89, 34, 56, 78, 90, 23, 45, 67, 89, 34. Prepare a frequency table with intervals 20-39, 40-59, 60-79, 80-99, and calculate the mode.
Read Also: English Language Exam Questions for JSS2 Third Term
Answers to Mathematics Exam Questions for JSS2 Third Term
Answers to Section A (Objective Test)
The following table gives the correct answers to the objective section of Mathematics exam questions for JSS2 Third term. If you are using a mobile device, hold the table and scroll to the right or left for a complete view.
| Q.No | Ans | Q.No | Ans | Q.No | Ans |
|---|---|---|---|---|---|
| 1 | b | 2 | c | 3 | b |
| 4 | d | 5 | a | 6 | b |
| 7 | c | 8 | c | 9 | a |
| 10 | c | 11 | b | 12 | b |
| 13 | c | 14 | b | 15 | d |
| 16 | b | 17 | d | 18 | b |
| 19 | a | 20 | c | 21 | b |
| 22 | a | 23 | b | 24 | a |
| 25 | b | 26 | b | 27 | a |
| 28 | b | 29 | b | 30 | c |
| 31 | d | 32 | d | 33 | b |
| 34 | b | 35 | c | 36 | d |
| 37 | a | 38 | c | 39 | b |
| 40 | b | 41 | b | 42 | b |
| 43 | b | 44 | c | 45 | b |
| 46 | b | 47 | b | 48 | a |
| 49 | c | 50 | c | 51 | c |
| 52 | b | 53 | b | 54 | a |
| 55 | b | 56 | b | 57 | c |
| 58 | b | 59 | b | 60 | d |
| 61 | c | 62 | c |
So here you have the answers to the objective section of Mathematics Exam Questions for JSS2 Third term. Use the comments section to let me know if you have any questions you would want me to clarify or discuss further.
Answers to Section B (Theory)
The sum of the interior angles = (n – 2) × 180° = (8 – 2) × 180° = 6 × 180° = 1080°
If the polygon is regular, each interior angle = 1080° ÷ 8 = 135°
Using trigonometry: cos θ = adjacent / hypotenuse = 3 / 5 = 0.6
θ = cos⁻¹(0.6) ≈ 53° (to the nearest degree)
Actual distance = 8 cm × 25,000 = 200,000 cm = 200,000 ÷ 100,000 = 2 km
(Construction must be done practically with a ruler, compass, and protractor)
After construction, measure AC with a ruler. The length of AC is approximately 4.4 cm (depending on drawing accuracy).
45, 67, 89, 34, 56, 78, 90, 23, 45, 67, 89, 34, 56, 78, 90, 23, 45, 67, 89, 34.Frequency Table:
| Marks Interval | Frequency |
|---|---|
| 20 – 39 | 6 |
| 40 – 59 | 5 |
| 60 – 79 | 5 |
| 80 – 99 | 4 |
Mode: The mark that occurs most frequently is 45 and 67 and 89 and 34 (each appears 3 times). Therefore, the distribution is multimodal with modes: 45, 67, 89, and 34
How to Pass Mathematics Exam Questions for JSS2 Third Term
Passing your Mathematics exam questions for JSS2 Third term requires a combination of preparation, understanding, and strategy. Here are actionable tips to help you excel:
- Study Your Class Notes: Go through all the topics your teacher has taught this term and ensure you understand them well.
- Practice Calculations Daily: Mathematics requires constant practice. Solve different problems every day to become fast and accurate.
- Memorize Important Formulas: Learn and memorize key formulas for geometry, algebra, and mensuration.
- Understand the Steps: Always try to understand how to solve problems step by step instead of just cramming answers.
- Use Past Questions: Solve past exam questions to become familiar with the exam pattern and common types of questions.
- Ask for Help: If you don’t understand any topic, ask your teacher, friends, or join a tutorial group for extra support.
- Manage Your Time: Practice solving questions within a time limit to improve your speed during the exam.
- Revise Regularly: Don’t wait until the exam week before you start studying. Review topics weekly to keep them fresh in your mind.
- Be Neat and Clear: In your exam, write neatly and show all workings clearly. This can earn you marks even if your final answer is wrong.
- Stay Confident and Calm: Believe in yourself and stay relaxed during the exam. Avoid rushing and double-check your answers.
It’s a wrap!
If you need more clarification on JSS2 Third Term Questions on Mathematics, you can use the comments box below. We’ll be there to answer you asap.
Best wishes.
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