Lesson 9.1: Circle, Triangle, Square, and Rectangle Properties

Examine sides, corners, and properties of 2D shapes.

⏱️ Reading Time: 15 mins • ❓ 50 Interactive Practice Questions
#2DShapes #CircleSquareTriangleRectangle #SidesAndCorners

Circle, Triangle, Square & Rectangle (Properties & Sides)

Flat 2D shapes are drawn on paper and have height and width, but no depth or thickness.

Circle (0 sides) Triangle (3 sides) Square (4 equal) Rectangle

2D Shapes: Circle, Triangle, Square, and Rectangle.

1. Sides and Corners

• Circle: 1 curved boundary, 0 straight sides, 0 corners.
• Triangle: 3 straight sides, 3 corners.
• Square: 4 straight sides (all equal in length), 4 square corners.
• Rectangle: 4 straight sides (opposite sides are equal), 4 square corners.

Corner (Vertex): The sharp point where two sides meet.

2. Spotting 2D Shapes Around Us

Look around you right now! The door is a rectangle, the chess board is a square, the clock is a circle, and a slice of pizza is a triangle.

Fun Fact: Every square is a special kind of rectangle, but not every rectangle is a square!

💡 Key Learning Takeaways

  • Circles have 0 straight sides and 0 corners.
  • Triangles have 3 sides; Squares have 4 equal sides.
  • Rectangles have opposite sides equal.

🎯 Key Learning Takeaways

2D shapes and attributes.

📄 Printable Worksheets (10 Available)

Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.

WL-G2-C09-W10 A4 • 15 Qs

2D Shapes — Worksheet 10

Curriculum Excellence & Final Review

WL-G2-C09-W09 A4 • 15 Qs

2D Shapes — Worksheet 9

Mastery Assessment & Progress Check

WL-G2-C09-W08 A4 • 15 Qs

2D Shapes — Worksheet 8

Mixed Review & Reinforcement

WL-G2-C09-W07 A4 • 15 Qs

2D Shapes — Worksheet 7

Everyday Applications & Story Maths

WL-G2-C09-W06 A4 • 15 Qs

2D Shapes — Worksheet 6

Critical Thinking & Deep Understanding

WL-G2-C09-W05 A4 • 15 Qs

2D Shapes — Worksheet 5

Speed Challenge & Quick Check

WL-G2-C09-W04 A4 • 15 Qs

2D Shapes — Worksheet 4

Problem Solving & Real-Life Stories

WL-G2-C09-W03 A4 • 15 Qs

2D Shapes — Worksheet 3

Hands-on Visual Activity & Matching

WL-G2-C09-W02 A4 • 15 Qs

2D Shapes — Worksheet 2

Essential Practice & Skill Builder

WL-G2-C09-W01 A4 • 15 Qs

2D Shapes — Worksheet 1

Foundational Concepts & Visual Exploration

✍️ Lesson Practice Questions (50 Questions)

Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.

Non-Repetitive Real-Life Maths
1 Multiple Choice
Hard 1 Mark
What is the difference between (54 + 10) and (42 + 10)?
A 22
B 12
C 54
D 42
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 12
Step-by-Step Explanation: Adding 10 to both numbers does not change their difference: (54 + 10) - (42 + 10) = 54 - 42 = 12.
2 Multiple Choice
Hard 1 Mark
A secret number plus 12 equals 54. If you double the secret number, what is the result?
A 42
B 108
C 44
D 84
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 84
Step-by-Step Explanation: The secret number is 42. Doubling it gives 42 × 2 = 84.
3 Multiple Choice
Hard 1 Mark
If 42 + 12 = 54, what is 12 + 42?
A 54
B 42
C 55
D 12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 54
Step-by-Step Explanation: The order of addends does not affect the sum (commutative property).
4 Multiple Choice
Hard 1 Mark
Why is 54 greater than 42?
A Because {v1} is an even number
B Because {tot} has a bigger first digit
C Because 54 includes 42 plus an additional 12 items
D Numbers ending in 0 are always smaller
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Because 54 includes 42 plus an additional 12 items
Step-by-Step Explanation: Adding a positive quantity always increases the total.
5 Multiple Choice
Medium 1 Mark
Sam evaluated 54 - 12 and wrote 66. What was Sam's mistake?
A He divided the numbers
B He added instead of subtracting
C He forgot the units place
D He multiplied by 2
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: He added instead of subtracting
Step-by-Step Explanation: The minus sign means subtraction (taking away), but Sam performed addition.
6 Multiple Choice
Medium 1 Mark
A student claimed that 42 + 12 = 64 because 'we must add 10 to every answer'. Why is this student wrong?
A Addition is only for 1-digit numbers
B Addition means combining only the given numbers without adding extra amounts
C The student subtracted instead
D The answer is 0
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Addition means combining only the given numbers without adding extra amounts
Step-by-Step Explanation: 42 + 12 equals exactly 54.
7 Multiple Choice
Medium 1 Mark
Complete the pattern: 42, 47, 52, [ ? ].
A 56
B 54
C 57
D 62
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 57
Step-by-Step Explanation: The pattern increases by 5. 52 + 5 = 57.
8 Multiple Choice
Medium 1 Mark
Find the missing number: 42 + [ ? ] = 54.
A 11
B 12
C 13
D 42
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 12
Step-by-Step Explanation: Missing value is 12 because 42 + 12 = 54.
9 Multiple Choice
Medium 1 Mark
In a school garden, there are 42 yellow marigolds and 12 purple petunias. How many flowers are blooming in total?
A 54 flowers
B 42 flowers
C 59 flowers
D 12 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 54 flowers
Step-by-Step Explanation: 42 + 12 = 54 flowers.
10 Multiple Choice
Medium 1 Mark
A school library received 54 new graphic novels. Students checked out 12 novels on Monday. How many new novels are still on the shelf?
A 54 novels
B 42 novels
C 43 novels
D 12 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 42 novels
Step-by-Step Explanation: 54 - 12 = 42 novels remaining.
11 Multiple Choice
Medium 1 Mark
A baker packed 42 apple pies in the morning and 12 cherry pies in the afternoon. How many pies did the baker pack in all?
A 56 pies
B 54 pies
C 42 pies
D 52 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 54 pies
Step-by-Step Explanation: 42 + 12 = 54 pies in total.
12 Multiple Choice
Easy 1 Mark
What number is 10 more than 42?
A 32
B 52
C 62
D 43
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 52
Step-by-Step Explanation: 42 + 10 = 52.
13 Multiple Choice
Easy 1 Mark
Which comparison is correct: 54 [ ? ] 49?
A =
B >
C ≈
D <
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: >
Step-by-Step Explanation: 54 is greater than 49.
14 Multiple Choice
Easy 1 Mark
Calculate: 54 - 12 = ?
A 41
B 42
C 43
D 12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 42
Step-by-Step Explanation: 54 - 12 = 42.
15 Multiple Choice
Easy 1 Mark
In Chapter '2D Shapes', calculate: 42 + 12 = ?
A 54
B 55
C 64
D 53
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 54
Step-by-Step Explanation: 42 + 12 = 54.
16 Multiple Choice
Hard 1 Mark
What is the difference between (69 + 10) and (35 + 10)?
A 35
B 69
C 34
D 44
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 34
Step-by-Step Explanation: Adding 10 to both numbers does not change their difference: (69 + 10) - (35 + 10) = 69 - 35 = 34.
17 Multiple Choice
Hard 1 Mark
A secret number plus 34 equals 69. If you double the secret number, what is the result?
A 70
B 37
C 138
D 35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 70
Step-by-Step Explanation: The secret number is 35. Doubling it gives 35 × 2 = 70.
18 Multiple Choice
Hard 1 Mark
If 35 + 34 = 69, what is 34 + 35?
A 70
B 69
C 34
D 35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 69
Step-by-Step Explanation: The order of addends does not affect the sum (commutative property).
19 Multiple Choice
Hard 1 Mark
Why is 69 greater than 35?
A Because 69 includes 35 plus an additional 34 items
B Because {tot} has a bigger first digit
C Because {v1} is an even number
D Numbers ending in 0 are always smaller
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Because 69 includes 35 plus an additional 34 items
Step-by-Step Explanation: Adding a positive quantity always increases the total.
20 Multiple Choice
Medium 1 Mark
Sam evaluated 69 - 34 and wrote 103. What was Sam's mistake?
A He divided the numbers
B He added instead of subtracting
C He multiplied by 2
D He forgot the units place
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: He added instead of subtracting
Step-by-Step Explanation: The minus sign means subtraction (taking away), but Sam performed addition.
21 Multiple Choice
Medium 1 Mark
A student claimed that 35 + 34 = 79 because 'we must add 10 to every answer'. Why is this student wrong?
A Addition means combining only the given numbers without adding extra amounts
B The answer is 0
C The student subtracted instead
D Addition is only for 1-digit numbers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Addition means combining only the given numbers without adding extra amounts
Step-by-Step Explanation: 35 + 34 equals exactly 69.
22 Multiple Choice
Medium 1 Mark
Complete the pattern: 35, 40, 45, [ ? ].
A 55
B 50
C 49
D 47
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 50
Step-by-Step Explanation: The pattern increases by 5. 45 + 5 = 50.
23 Multiple Choice
Medium 1 Mark
Find the missing number: 35 + [ ? ] = 69.
A 35
B 34
C 33
D 35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 34
Step-by-Step Explanation: Missing value is 34 because 35 + 34 = 69.
24 Multiple Choice
Medium 1 Mark
In a school garden, there are 35 yellow marigolds and 34 purple petunias. How many flowers are blooming in total?
A 69 flowers
B 35 flowers
C 74 flowers
D 34 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 69 flowers
Step-by-Step Explanation: 35 + 34 = 69 flowers.
25 Multiple Choice
Medium 1 Mark
A school library received 69 new graphic novels. Students checked out 34 novels on Monday. How many new novels are still on the shelf?
A 36 novels
B 69 novels
C 35 novels
D 34 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 35 novels
Step-by-Step Explanation: 69 - 34 = 35 novels remaining.
26 Multiple Choice
Medium 1 Mark
A baker packed 35 apple pies in the morning and 34 cherry pies in the afternoon. How many pies did the baker pack in all?
A 67 pies
B 71 pies
C 35 pies
D 69 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 69 pies
Step-by-Step Explanation: 35 + 34 = 69 pies in total.
27 Multiple Choice
Easy 1 Mark
What number is 10 more than 35?
A 25
B 45
C 36
D 55
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 45
Step-by-Step Explanation: 35 + 10 = 45.
28 Multiple Choice
Easy 1 Mark
Which comparison is correct: 69 [ ? ] 64?
A ≈
B <
C >
D =
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: >
Step-by-Step Explanation: 69 is greater than 64.
29 Multiple Choice
Easy 1 Mark
Calculate: 69 - 34 = ?
A 36
B 34
C 34
D 35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 35
Step-by-Step Explanation: 69 - 34 = 35.
30 Multiple Choice
Easy 1 Mark
In Chapter '2D Shapes', calculate: 35 + 34 = ?
A 79
B 70
C 69
D 68
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 69
Step-by-Step Explanation: 35 + 34 = 69.
31 Multiple Choice
Hard 1 Mark
What is the difference between (59 + 10) and (28 + 10)?
A 41
B 31
C 28
D 59
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 31
Step-by-Step Explanation: Adding 10 to both numbers does not change their difference: (59 + 10) - (28 + 10) = 59 - 28 = 31.
32 Multiple Choice
Hard 1 Mark
A secret number plus 31 equals 59. If you double the secret number, what is the result?
A 56
B 30
C 118
D 28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 56
Step-by-Step Explanation: The secret number is 28. Doubling it gives 28 × 2 = 56.
33 Multiple Choice
Hard 1 Mark
If 28 + 31 = 59, what is 31 + 28?
A 28
B 31
C 59
D 60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 59
Step-by-Step Explanation: The order of addends does not affect the sum (commutative property).
34 Multiple Choice
Hard 1 Mark
Why is 59 greater than 28?
A Because 59 includes 28 plus an additional 31 items
B Numbers ending in 0 are always smaller
C Because {tot} has a bigger first digit
D Because {v1} is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Because 59 includes 28 plus an additional 31 items
Step-by-Step Explanation: Adding a positive quantity always increases the total.
35 Multiple Choice
Medium 1 Mark
Sam evaluated 59 - 31 and wrote 90. What was Sam's mistake?
A He multiplied by 2
B He added instead of subtracting
C He divided the numbers
D He forgot the units place
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: He added instead of subtracting
Step-by-Step Explanation: The minus sign means subtraction (taking away), but Sam performed addition.
36 Multiple Choice
Medium 1 Mark
A student claimed that 28 + 31 = 69 because 'we must add 10 to every answer'. Why is this student wrong?
A The answer is 0
B The student subtracted instead
C Addition means combining only the given numbers without adding extra amounts
D Addition is only for 1-digit numbers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Addition means combining only the given numbers without adding extra amounts
Step-by-Step Explanation: 28 + 31 equals exactly 59.
37 Multiple Choice
Medium 1 Mark
Complete the pattern: 28, 33, 38, [ ? ].
A 48
B 42
C 43
D 40
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 43
Step-by-Step Explanation: The pattern increases by 5. 38 + 5 = 43.
38 Multiple Choice
Medium 1 Mark
Find the missing number: 28 + [ ? ] = 59.
A 28
B 30
C 32
D 31
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 31
Step-by-Step Explanation: Missing value is 31 because 28 + 31 = 59.
39 Multiple Choice
Medium 1 Mark
In a school garden, there are 28 yellow marigolds and 31 purple petunias. How many flowers are blooming in total?
A 64 flowers
B 59 flowers
C 28 flowers
D 31 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 59 flowers
Step-by-Step Explanation: 28 + 31 = 59 flowers.
40 Multiple Choice
Medium 1 Mark
A school library received 59 new graphic novels. Students checked out 31 novels on Monday. How many new novels are still on the shelf?
A 28 novels
B 31 novels
C 29 novels
D 59 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 28 novels
Step-by-Step Explanation: 59 - 31 = 28 novels remaining.
41 Multiple Choice
Medium 1 Mark
A baker packed 28 apple pies in the morning and 31 cherry pies in the afternoon. How many pies did the baker pack in all?
A 61 pies
B 28 pies
C 59 pies
D 57 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 59 pies
Step-by-Step Explanation: 28 + 31 = 59 pies in total.
42 Multiple Choice
Easy 1 Mark
What number is 10 more than 28?
A 18
B 48
C 29
D 38
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 38
Step-by-Step Explanation: 28 + 10 = 38.
43 Multiple Choice
Easy 1 Mark
Which comparison is correct: 59 [ ? ] 54?
A <
B ≈
C >
D =
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: >
Step-by-Step Explanation: 59 is greater than 54.
44 Multiple Choice
Easy 1 Mark
Calculate: 59 - 31 = ?
A 28
B 31
C 27
D 29
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 28
Step-by-Step Explanation: 59 - 31 = 28.
45 Multiple Choice
Easy 1 Mark
In Chapter '2D Shapes', calculate: 28 + 31 = ?
A 58
B 69
C 60
D 59
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 59
Step-by-Step Explanation: 28 + 31 = 59.
46 Multiple Choice
Hard 1 Mark
What is the difference between (49 + 10) and (21 + 10)?
A 49
B 21
C 38
D 28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 28
Step-by-Step Explanation: Adding 10 to both numbers does not change their difference: (49 + 10) - (21 + 10) = 49 - 21 = 28.
47 Multiple Choice
Hard 1 Mark
A secret number plus 28 equals 49. If you double the secret number, what is the result?
A 21
B 98
C 23
D 42
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 42
Step-by-Step Explanation: The secret number is 21. Doubling it gives 21 × 2 = 42.
48 Multiple Choice
Hard 1 Mark
If 21 + 28 = 49, what is 28 + 21?
A 49
B 21
C 50
D 28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: 49
Step-by-Step Explanation: The order of addends does not affect the sum (commutative property).
49 Multiple Choice
Hard 1 Mark
Why is 49 greater than 21?
A Because {tot} has a bigger first digit
B Because 49 includes 21 plus an additional 28 items
C Numbers ending in 0 are always smaller
D Because {v1} is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: Because 49 includes 21 plus an additional 28 items
Step-by-Step Explanation: Adding a positive quantity always increases the total.
50 Multiple Choice
Medium 1 Mark
Sam evaluated 49 - 28 and wrote 77. What was Sam's mistake?
A He multiplied by 2
B He divided the numbers
C He added instead of subtracting
D He forgot the units place
💡 Click to View Correct Answer & Explanation ▼
Correct Answer: He added instead of subtracting
Step-by-Step Explanation: The minus sign means subtraction (taking away), but Sam performed addition.
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