Mathematics Questions and Answers – JSS2 – 3rd Term
Duration: 12 Weeks
Examination malpractice is a serious offense. It may lead to disqualification, repetition, or suspension. Avoid it at all costs.
Table of Contents – Weekly Scheme of Work
- Week 1: Revision of Previous Term’s Work
- Week 2: Simple Equation
- Week 3: Geometry – Plane Shapes
- (a) Types of Plane Shapes and Their Properties
- (b) Similarities and Differences between Square, Rectangle, Triangle, Trapezium, Parallelogram, and Circle
- Week 4: Perimeter and Area of Plane Shapes
- (a) Perimeter of Regular Polygon, Square, Rectangle, Triangle, Trapezium, Parallelogram, and Circle
- (b) Area of Regular Plane Shapes (Square, Rectangle, Parallelogram, etc.)
- Week 5: Three-Dimensional Shapes
- (a) Identification of 3D Shapes
- (b) Properties of Cubes and Cuboids
- (c) Properties of Cylinders and Spheres
- (d) Volume of Cubes and Cuboids
- Week 6: Angles – Identification and Properties
- (a) Vertically Opposite Angles
- (b) Adjacent Angles
- (c) Alternate Angles
- (d) Corresponding Angles
- Week 7: Angles (Cont’d) – Theorems
- (a) Sum of Angles on a Straight Line
- (b) Supplementary Angles
- (c) Complementary Angles
- (d) Sum of Angles in a Triangle
- Week 8: Construction
- (a) Construction of Parallel and Perpendicular Lines
- (b) Bisection of a Given Line Segment
- (c) Construction of 60° and 90° Angles
- Week 9: Statistics I
- (a) Meaning, Purpose, and Usefulness of Data
- (b) Data Collection, Sources, and Importance
- (c) Presentation and Frequency Distribution
- Week 10: Graphical Presentation of Data
- Use of Pictogram, Bar Chart, Pie Chart, and Histogram
- Week 11: Statistics II – Measures of Averages
- (a) Arithmetic Mean
- (b) Median
- (c) Mode
- Week 12: Revision and Examination
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📘 Mathematics Questions and Answers – JSS2 – 3rd Term
📆 Subject Duration: 12 Weeks
Note: Examination malpractice is a serious offense. It may lead to disqualification, repetition, or suspension. Avoid it at all costs.
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Table of Contents – Weekly Scheme of Work
- Week 1: Revision of Previous Term’s Work
- Week 2: Simple Equation
- Week 3: Geometry – Plane Shapes
- (a) Types of Plane Shapes and Their Properties
- (b) Similarities and Differences between Square, Rectangle, Triangle, Trapezium, Parallelogram, and Circle
- Week 4: Perimeter and Area of Plane Shapes
- (a) Perimeter of Regular Polygon, Square, Rectangle, Triangle, Trapezium, Parallelogram, and Circle
- (b) Area of Regular Plane Shapes (Square, Rectangle, Parallelogram, etc.)
- Week 5: Three-Dimensional Shapes
- (a) Identification of 3D Shapes
- (b) Properties of Cubes and Cuboids
- (c) Properties of Cylinders and Spheres
- (d) Volume of Cubes and Cuboids
- Week 6: Angles – Identification and Properties
- (a) Vertically Opposite Angles
- (b) Adjacent Angles
- (c) Alternate Angles
- (d) Corresponding Angles
- Week 7: Angles (Cont’d) – Theorems
- (a) Sum of Angles on a Straight Line
- (b) Supplementary Angles
- (c) Complementary Angles
- (d) Sum of Angles in a Triangle
- Week 8: Construction
- (a) Construction of Parallel and Perpendicular Lines
- (b) Bisection of a Given Line Segment
- (c) Construction of 60° and 90° Angles
- Week 9: Statistics I
- (a) Meaning, Purpose, and Usefulness of Data
- (b) Data Collection, Sources, and Importance
- (c) Presentation and Frequency Distribution
- Week 10: Graphical Presentation of Data
- Use of Pictogram, Bar Chart, Pie Chart, and Histogram
- Week 11: Statistics II – Measures of Averages
- (a) Arithmetic Mean
- (b) Median
- (c) Mode
- Week 12: Revision and Examination
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Mathematics Questions and Answers – JSS2 – 3rd Term
📆 Subject Duration: 12 Weeks
Note: Examination malpractice is a serious offense. It may lead to disqualification, repetition, or suspension. Avoid it at all costs.
Table of Contents – Weekly Scheme of Work
- Week 1: Revision
- Week 2: Simple Equation
- Week 3: Geometry – Plane Shapes
- Types of plane shapes and their properties
- Similarities and differences between: square, rectangle, triangle, trapezium, parallelogram and circle
- Week 4: Perimeter and Area
- Perimeter of regular polygons
- Area of squares, rectangles, parallelograms, etc.
- Week 5: Three Dimensional Shapes
- Identification and properties of cubes, cuboids, cylinders, spheres
- Volume of cubes and cuboids
- Week 6: Angles I
- Identification and properties of angles: vertically opposite, adjacent, alternate, corresponding
- Week 7: Angles II
- Angle theorems: angles on a straight line, supplementary, complementary, triangle angles
- Week 8: Construction
- Parallel and perpendicular lines
- Bisection, construction of 60° and 90° angles
- Week 9: Statistics I
- Meaning and usefulness of data
- Data collection, sources, frequency distribution
- Week 10: Graphical Presentation
- Pictogram, bar chart, pie chart, histogram
- Week 11: Statistics II – Measures of Central Tendency
- Arithmetic mean, median, mode
- Week 12: Revision and Examination
Objective Questions
- Solve: 2x – 5 = 9. What is x?
A. 5 B. 6 C. 7 D. 8 - The sum of angles in a triangle is always:
A. 90° B. 360° C. 180° D. 270° - A rectangle has length 10cm and breadth 4cm. Its area is:
A. 40cm² B. 28cm² C. 14cm² D. 44cm² - A triangle with all equal sides is called:
A. Scalene B. Isosceles C. Right D. Equilateral - Find the volume of a cube of side 3cm.
A. 9cm³ B. 27cm³ C. 18cm³ D. 81cm³ - Which of these shapes has no vertices?
A. Square B. Triangle C. Circle D. Rectangle - The perimeter of a square of side 7cm is:
A. 49cm B. 14cm C. 28cm D. 21cm - Complementary angles sum up to:
A. 360° B. 90° C. 180° D. 270° - Construct an angle of 60° using:
A. Ruler only B. Compass only C. Compass and straightedge D. Protractor only - 5x = 25. Find x.
A. 10 B. 7 C. 5 D. 3 - A parallelogram has opposite sides that are:
A. Unequal B. Curved C. Equal and parallel D. Not straight - The mode in a data set is the:
A. Smallest number B. Largest number C. Most frequent number D. Middle number - What is the mean of 5, 7, 9, 3, and 6?
A. 5 B. 6 C. 7 D. 8 - In frequency distribution, data is organized in:
A. Alphabetical form B. Bar form C. Tabular form D. Pie form - A cube has how many faces?
A. 4 B. 5 C. 6 D. 8 - The straight line that divides an angle equally is called a:
A. Median B. Bisection line C. Parallel line D. Tangent - An alternate angle occurs between:
A. Adjacent lines B. Parallel lines cut by a transversal C. Curves D. Circles - A pictogram uses:
A. Numbers only B. Pictures/symbols C. Lines D. Paragraphs - If ∠A and ∠B are supplementary, and ∠A = 110°, then ∠B = ?
A. 90° B. 70° C. 80° D. 60° - A bar chart is best used to show:
A. Division B. Comparison C. Multiplication D. Sectors - 4x – 3 = 13. Find x.
A. 3 B. 4 C. 5 D. 6 - A trapezium has how many sides?
A. 4 B. 5 C. 6 D. 3 - A straight angle measures:
A. 90° B. 180° C. 60° D. 360° - The property of a cylinder includes:
A. One face B. Two circular bases C. Four vertices D. One edge - What is the area of a circle with radius 7cm? (Use π = 22/7)
A. 154cm² B. 49cm² C. 44cm² D. 77cm² - The opposite of a corresponding angle is:
A. Supplementary B. Vertical angle C. Alternate angle D. Adjacent angle - What is the median of 12, 14, 18, 20, 22?
A. 18 B. 20 C. 14 D. 22 - The correct order of statistics is:
A. Analysis → Collection → Presentation
B. Collection → Presentation → Analysis
C. Presentation → Collection → Analysis
D. Collection → Analysis → Pie Chart - If x + 3 = 10, then x = ?
A. 6 B. 5 C. 7 D. 4 - A cuboid differs from a cube because:
A. It has no face B. All sides are unequal C. It has curved surfaces D. It’s hollow - A pie chart is useful for:
A. Full sentence explanation B. Showing parts of a whole C. Drawing angles D. Multiplying shapes - Two adjacent angles on a straight line add up to:
A. 360° B. 90° C. 270° D. 180° - The area of a square is given by:
A. 2 × side B. 4 × side C. side × side D. side ÷ 2 - The figure with no corners or edges is:
A. Triangle B. Square C. Circle D. Cuboid - The line that cuts another at 90° is called:
A. Transversal B. Parallel C. Perpendicular D. Adjacent - 3x – 9 = 0. Solve for x.
A. 2 B. 3 C. 4 D. 6 - A histogram is a type of:
A. Pie chart B. Line graph C. Bar graph D. Frequency graph - The number of edges in a cube is:
A. 12 B. 10 C. 8 D. 6 - The angles in a triangle are 90°, 45° and __?
A. 90° B. 45° C. 60° D. 30° - What is the mode in 3, 5, 5, 7, 8?
A. 5 B. 7 C. 8 D. 3
Theory Questions
- Solve the equation 5x – 7 = 18. Show full steps.
- Define a parallelogram and state two similarities and two differences between a parallelogram and a rectangle.
- Find the area and perimeter of a triangle with base 6cm and height 4cm, and sides 6cm, 5cm, and 4cm.
- Identify and explain four types of angles using diagrams.
- List and explain any three properties of a cylinder and a sphere.
- Construct a triangle with angles 60°, 60°, and 60° using a compass and straightedge.
- Calculate the volume of a cuboid of length 6cm, width 3cm, and height 4cm.
- Collect a set of data from a class test and create a frequency distribution table with 5 data points.
- Draw a bar chart using the frequency table below:
- English: 6 students
- Maths: 8 students
- Science: 5 students
- Civic: 3 students
- Define arithmetic mean and find the mean of the following scores: 15, 20, 25, 10, and 30.
Objective Answers
- C — 2x – 5 = 9 ⇒ 2x = 14 ⇒ x = 7
- C — Sum of angles in a triangle is always 180°
- A — Area = L × B = 10 × 4 = 40 cm²
- D — An equilateral triangle has all sides equal
- B — Volume = side³ = 3³ = 27 cm³
- C — A circle has no vertices
- C — Perimeter = 4 × side = 4 × 7 = 28 cm
- B — Complementary angles sum up to 90°
- C — Use compass and straightedge to construct 60°
- C — 5x = 25 ⇒ x = 5
- C — A parallelogram has opposite sides equal and parallel
- C — Mode is the most frequent number (3 appears twice)
- B — Mean = (5+7+9+3+6)/5 = 30/5 = 6
- C — Frequency distribution uses tabular form
- C — A cube has 6 faces
- B — A bisection line divides an angle equally
- B — Alternate angles occur when parallel lines are cut by a transversal
- B — A pictogram uses pictures or symbols
- B — ∠B = 180° – 110° = 70°
- B — Bar chart shows comparison of data
- C — 4x – 3 = 13 ⇒ 4x = 16 ⇒ x = 4
- A — A trapezium has 4 sides
- B — A straight angle measures 180°
- B — A cylinder has two circular bases
- A — Area = πr² = 22/7 × 7 × 7 = 154 cm²
- C — Alternate angles are the opposite of corresponding angles
- A — Median = 3rd number = 18
- B — Statistics: Collection → Presentation → Analysis
- C — x = 10 – 3 = 7
- B — A cuboid has unequal sides unlike a cube
- B — Pie charts show parts of a whole
- D — Adjacent angles on a straight line = 180°
- C — Area of square = side × side
- C — A circle has no corners or edges
- C — A perpendicular line cuts another at 90°
- B — 3x – 9 = 0 ⇒ 3x = 9 ⇒ x = 3
- D — Histogram is a type of frequency graph
- A — A cube has 12 edges
- D — Sum = 90 + 45 = 135 ⇒ 3rd angle = 180 – 135 = 45°
- A — Mode = most frequent = 5
Great! Here’s the complete set of theory answers for the JSS2 Mathematics 3rd Term theory questions:
🧮 Theory Answers – JSS2 Mathematics (3rd Term)
1. Solve the equation 5x – 7 = 18. Show full steps.
Solution:
Start with the given equation:
5x – 7 = 18
Add 7 to both sides:
5x – 7 + 7 = 18 + 7
5x = 25
Divide both sides by 5:
5x ÷ 5 = 25 ÷ 5
x = 5
2. Define a parallelogram and state two similarities and two differences between a parallelogram and a rectangle.
Definition:
A parallelogram is a quadrilateral with opposite sides that are equal and parallel.
Similarities:
- Both have four sides (quadrilaterals).
- Both have opposite sides equal and parallel.
Differences:
- In a rectangle, all angles are 90°, but in a parallelogram, angles are not necessarily right angles.
- Diagonals of a rectangle are equal, but those of a parallelogram are not necessarily equal.
3. Find the area and perimeter of a triangle with base 6cm and height 4cm, and sides 6cm, 5cm, and 4cm.
Area = ½ × base × height
= ½ × 6 × 4
= 12cm²
Perimeter = 6 + 5 + 4 = 15cm
4. Identify and explain four types of angles using diagrams.
Types of Angles:
- Acute Angle – Less than 90°
- Right Angle – Exactly 90°
- Obtuse Angle – Greater than 90° but less than 180°
- Straight Angle – Exactly 180°
Diagrams should be drawn accordingly, with labeled angles.
5. List and explain any three properties of a cylinder and a sphere.
Cylinder:
- Has two circular bases.
- Has one curved surface.
- No vertices or edges.
Sphere:
- Perfectly round and 3-dimensional.
- Has no edges or vertices.
- Every point on the surface is equidistant from the center.
6. Construct a triangle with angles 60°, 60°, and 60° using a compass and straightedge.
Steps:
- Draw a base of any length.
- Using a compass, construct a 60° angle at one end.
- Repeat at the other end.
- Extend the lines until they meet to form an equilateral triangle.
Ensure accuracy with compass and straightedge only—no protractor.
7. Calculate the volume of a cuboid of length 6cm, width 3cm, and height 4cm.
Formula: Volume = length × width × height
= 6 × 3 × 4 = 72cm³
8. Collect a set of data from a class test and create a frequency distribution table with 5 data points.
Sample Data:
Scores: 5, 7, 7, 10, 8
| Score | Frequency |
|---|---|
| 5 | 1 |
| 7 | 2 |
| 8 | 1 |
| 10 | 1 |
9. Draw a bar chart using the frequency table below:
| Subject | Number of Students |
|---|---|
| English | 6 |
| Maths | 8 |
| Science | 5 |
| Civic | 3 |
Instructions:
- Draw vertical and horizontal axes.
- Label horizontal axis with subjects.
- Label vertical axis with number of students.
- Use bars to represent values accurately.
10. Define arithmetic mean and find the mean of the following scores: 15, 20, 25, 10, and 30.
Definition:
The arithmetic mean is the sum of numbers divided by the total count of numbers.
Solution:
Mean = (15 + 20 + 25 + 10 + 30) ÷ 5 = 100 ÷ 5 = 20
Mastering JSS2 Mathematics requires more than memorizing formulas it takes understanding, consistent revision, and real-life application. This comprehensive set of WAEC/NECO-standard questions and answers has covered key topics from simple equations to geometry, angles, data representation, and statistics, following the full third term scheme of work.To succeed in exams, students should revisit each topic weekly, solve both objective and theory questions without rushing, and practice drawing and interpreting charts and diagrams like bar graphs and angle types. Remember, mathematics becomes easier with practice. Stay focused, avoid examination malpractice, and let your preparation speak for you in the exam hall. Success is possible one solved equation at a time.
