Instructions
- Do all work neatly in a separate notebook.
- Write date before starting each exercise.
- Draw neat diagrams with pencil and ruler.
- Learn tables from 2 to 25 and revise formulas regularly.
- Show all steps for pattern-based questions.
Chapter 1 – Patterns in Mathematics
A. Patterns in Numbers
1. Complete the number patterns:
a) 3, 6, 9, 12, ___, ___, ___
b) 5, 10, 20, 40, ___, ___
c) 1, 4, 9, 16, ___, ___
d) 100, 90, 80, ___, ___, ___
e) 2, 6, 12, 20, 30, ___, ___
2. Identify the rule:
a) 7, 14, 21, 28 → Rule: __________________________
b) 2, 5, 10, 17, 26 → Rule: ________________________
c) 1, 3, 6, 10, 15 → Rule: ________________________
B. Visualising Number Sequences
3. Write the next 3 terms and describe the pattern:
a) 11, 22, 33, 44, ___, ___, ___
Pattern: ______________________________________
b) 50, 45, 40, 35, ___, ___, ___
Pattern: ______________________________________
c) 100, 200, 300, 400, ___, ___, ___
Pattern: ______________________________________
C. Relation among Number Sequences
4. Find the relation:
a) Sequence A: 2, 4, 6, 8
Sequence B: 4, 8, 12, 16
Relation: ______________________________________
b) Sequence A: 1, 2, 3, 4
Sequence B: 1, 4, 9, 16
Relation: ______________________________________
D. Patterns in Shapes
5. Observe and answer:
a) How many sides does the next shape have?
Triangle → Square → Pentagon → Hexagon → ______
b) Draw the next 2 shapes in your notebook:
★ ● ★ ● ★ ● ___ ___
c) Complete pattern:
■ ■ □ ■ ■ □ ■ ■ □ ___ ___
E. Relation to Number Sequences
6. Match the shape pattern with number pattern:
a) Triangle, Square, Pentagon → 3, 4, 5, ___
b) Star pattern increasing by 2 → 1, 3, 5, 7, ___
Chapter 2 – Lines and Angles
A. Basic Concepts
7. Define the following:
a) Point = ______________________________________
b) Line = _______________________________________
c) Line segment = ________________________________
d) Ray = ________________________________________
e) Plane = ______________________________________
B. Properties of Lines and Points
8. Answer:
a) A line has ______ endpoints.
b) A line segment has ______ endpoints.
c) A ray has ______ starting point and ______ end point.
C. Pair of Lines
9. Name and draw in notebook:
a) Parallel lines = __________________________
b) Intersecting lines = ______________________
c) Perpendicular lines = _____________________
D. Measuring Line Segments
10. Measure using a ruler:
Draw and measure these line segments:
a) AB = ______ cm
b) CD = ______ cm
c) EF = ______ cm
E. Plane and Representation
11. Answer:
a) A plane is a __________ surface.
b) Give one example of plane: ______________________
c) Draw a plane in your notebook and show 3 points on it.
F. Rays and Angles
12. Answer:
a) A ray has ______ fixed endpoint.
b) A ray extends in ______ direction.
13. Name the angles:
(Write notation in notebook)
a) ∠ABC
b) ∠PQR
c) ∠XYZ
G. Interior and Exterior Angles
14. Identify:
a) Inside the angle = __________ angle
b) Outside the angle = __________ angle
15. Draw and label:
a) One acute angle
b) One obtuse angle
c) One right angle
H. Notation of Angles
16. Write angle names properly:
a) Angle formed by A, B, C = __________
b) Angle formed by X, Y, Z = __________
Fun Activity Section
17. Pattern Art Activity
Create a colourful pattern using:
- Circles, triangles, squares
- Show repeating or growing patterns
18. Geometry Hunt
Find and list:
- 5 real-life examples of lines
- 5 real-life examples of angles
Example: door edges, clock hands, road crossings
Mental Maths Challenge
19. Solve:
a) 5 + 10 + 15 + 20 = ______
b) Next term: 2, 4, 8, 16, ___
c) 100 – 90 – 80 – ___
Creative Corner
20. Make a chart on ONE topic:
- Types of angles
- Patterns in nature
- Types of lines
- Number patterns