Lesson 14.2: Using a Simple Balance Scale
Understand pan scales and equilibrium.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
#SimpleBalance #PanScale #WeighingObjects
Using a Simple Balance Scale
A pan balance (beam balance) has two hanging pans. It shows us with 100% certainty which object is heavier!
Heavy Watermelon (Down)
Light Apple (Up)
Measurement of Weight: The heavier side tilts down on a balance beam.
1. How a Pan Balance Works
• The pan with the heavier object sinks DOWN.
• The pan with the lighter object rises UP.
• When both objects have the same weight, the beam stays flat and BALANCED!
See-Saw Rule: A balance works just like a playground see-saw! The heavier friend goes down, and the lighter friend goes up into the air.
2. Weighing with Marbles
If 1 mango balances with 6 identical glass marbles, we say: 'The weight of 1 mango = 6 marbles'.
Try It: If 1 apple = 4 marbles, and 1 orange = 5 marbles, which fruit is heavier? The orange!
💡 Key Learning Takeaways
- On a balance scale, the heavier side goes DOWN.
- The lighter side rises UP.
- Equal weights remain level and balanced.
🎯 Key Learning Takeaways
Pan balance scale rules.
📄 Printable Worksheets (10 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
WL-G2-C14-W10
A4 • 15 Qs
Measurement of Weight — Worksheet 10
Curriculum Excellence & Final Review
WL-G2-C14-W09
A4 • 15 Qs
Measurement of Weight — Worksheet 9
Mastery Assessment & Progress Check
WL-G2-C14-W08
A4 • 15 Qs
Measurement of Weight — Worksheet 8
Mixed Review & Reinforcement
WL-G2-C14-W07
A4 • 15 Qs
Measurement of Weight — Worksheet 7
Everyday Applications & Story Maths
WL-G2-C14-W06
A4 • 15 Qs
Measurement of Weight — Worksheet 6
Critical Thinking & Deep Understanding
WL-G2-C14-W05
A4 • 15 Qs
Measurement of Weight — Worksheet 5
Speed Challenge & Quick Check
WL-G2-C14-W04
A4 • 15 Qs
Measurement of Weight — Worksheet 4
Problem Solving & Real-Life Stories
WL-G2-C14-W03
A4 • 15 Qs
Measurement of Weight — Worksheet 3
Hands-on Visual Activity & Matching
WL-G2-C14-W02
A4 • 15 Qs
Measurement of Weight — Worksheet 2
Essential Practice & Skill Builder
WL-G2-C14-W01
A4 • 15 Qs
Measurement of Weight — 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.
1
Multiple Choice
Hard
1 Mark
What is the difference between (34 + 10) and (22 + 10)?
A
34
B
12
C
22
D
22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (34 + 10) - (22 + 10) = 34 - 22 = 12.
2
Multiple Choice
Hard
1 Mark
A secret number plus 12 equals 34. If you double the secret number, what is the result?
A
44
B
68
C
24
D
22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
44
Step-by-Step Explanation:
The secret number is 22. Doubling it gives 22 × 2 = 44.
3
Multiple Choice
Hard
1 Mark
If 22 + 12 = 34, what is 12 + 22?
A
34
B
12
C
22
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
4
Multiple Choice
Hard
1 Mark
Why is 34 greater than 22?
A
Because 34 includes 22 plus an additional 12 items
B
Because {v1} is an even number
C
Because {tot} has a bigger first digit
D
Numbers ending in 0 are always smaller
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 34 includes 22 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 34 - 12 and wrote 46. What was Sam's mistake?
A
He added instead of subtracting
B
He forgot the units place
C
He multiplied by 2
D
He divided the numbers
💡 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 22 + 12 = 44 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
Addition is only for 1-digit numbers
C
The answer is 0
D
The student subtracted instead
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Addition means combining only the given numbers without adding extra amounts
Step-by-Step Explanation:
22 + 12 equals exactly 34.
7
Multiple Choice
Medium
1 Mark
Complete the pattern: 22, 27, 32, [ ? ].
A
34
B
42
C
36
D
37
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
37
Step-by-Step Explanation:
The pattern increases by 5. 32 + 5 = 37.
8
Multiple Choice
Medium
1 Mark
Find the missing number: 22 + [ ? ] = 34.
A
13
B
11
C
12
D
22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12
Step-by-Step Explanation:
Missing value is 12 because 22 + 12 = 34.
9
Multiple Choice
Medium
1 Mark
In a school garden, there are 22 yellow marigolds and 12 purple petunias. How many flowers are blooming in total?
A
22 flowers
B
34 flowers
C
39 flowers
D
12 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34 flowers
Step-by-Step Explanation:
22 + 12 = 34 flowers.
10
Multiple Choice
Medium
1 Mark
A school library received 34 new graphic novels. Students checked out 12 novels on Monday. How many new novels are still on the shelf?
A
34 novels
B
12 novels
C
22 novels
D
23 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
22 novels
Step-by-Step Explanation:
34 - 12 = 22 novels remaining.
11
Multiple Choice
Medium
1 Mark
A baker packed 22 apple pies in the morning and 12 cherry pies in the afternoon. How many pies did the baker pack in all?
A
22 pies
B
36 pies
C
34 pies
D
32 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34 pies
Step-by-Step Explanation:
22 + 12 = 34 pies in total.
12
Multiple Choice
Easy
1 Mark
What number is 10 more than 22?
A
42
B
32
C
12
D
23
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
32
Step-by-Step Explanation:
22 + 10 = 32.
13
Multiple Choice
Easy
1 Mark
Which comparison is correct: 34 [ ? ] 29?
A
<
B
=
C
>
D
≈
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
34 is greater than 29.
14
Multiple Choice
Easy
1 Mark
Calculate: 34 - 12 = ?
A
21
B
22
C
23
D
12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
22
Step-by-Step Explanation:
34 - 12 = 22.
15
Multiple Choice
Easy
1 Mark
In Chapter 'Measurement of Weight', calculate: 22 + 12 = ?
A
35
B
34
C
44
D
33
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34
Step-by-Step Explanation:
22 + 12 = 34.
16
Multiple Choice
Hard
1 Mark
What is the difference between (49 + 10) and (15 + 10)?
A
44
B
15
C
49
D
34
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (49 + 10) - (15 + 10) = 49 - 15 = 34.
17
Multiple Choice
Hard
1 Mark
A secret number plus 34 equals 49. If you double the secret number, what is the result?
A
30
B
15
C
98
D
17
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30
Step-by-Step Explanation:
The secret number is 15. Doubling it gives 15 × 2 = 30.
18
Multiple Choice
Hard
1 Mark
If 15 + 34 = 49, what is 34 + 15?
A
50
B
34
C
15
D
49
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
49
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
19
Multiple Choice
Hard
1 Mark
Why is 49 greater than 15?
A
Because {v1} is an even number
B
Because 49 includes 15 plus an additional 34 items
C
Numbers ending in 0 are always smaller
D
Because {tot} has a bigger first digit
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 49 includes 15 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 49 - 34 and wrote 83. What was Sam's mistake?
A
He added instead of subtracting
B
He forgot the units place
C
He multiplied by 2
D
He divided the numbers
💡 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 15 + 34 = 59 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:
15 + 34 equals exactly 49.
22
Multiple Choice
Medium
1 Mark
Complete the pattern: 15, 20, 25, [ ? ].
A
30
B
27
C
29
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30
Step-by-Step Explanation:
The pattern increases by 5. 25 + 5 = 30.
23
Multiple Choice
Medium
1 Mark
Find the missing number: 15 + [ ? ] = 49.
A
34
B
33
C
15
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
34
Step-by-Step Explanation:
Missing value is 34 because 15 + 34 = 49.
24
Multiple Choice
Medium
1 Mark
In a school garden, there are 15 yellow marigolds and 34 purple petunias. How many flowers are blooming in total?
A
54 flowers
B
15 flowers
C
34 flowers
D
49 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
49 flowers
Step-by-Step Explanation:
15 + 34 = 49 flowers.
25
Multiple Choice
Medium
1 Mark
A school library received 49 new graphic novels. Students checked out 34 novels on Monday. How many new novels are still on the shelf?
A
34 novels
B
49 novels
C
15 novels
D
16 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 novels
Step-by-Step Explanation:
49 - 34 = 15 novels remaining.
26
Multiple Choice
Medium
1 Mark
A baker packed 15 apple pies in the morning and 34 cherry pies in the afternoon. How many pies did the baker pack in all?
A
51 pies
B
15 pies
C
49 pies
D
47 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
49 pies
Step-by-Step Explanation:
15 + 34 = 49 pies in total.
27
Multiple Choice
Easy
1 Mark
What number is 10 more than 15?
A
25
B
35
C
5
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
25
Step-by-Step Explanation:
15 + 10 = 25.
28
Multiple Choice
Easy
1 Mark
Which comparison is correct: 49 [ ? ] 44?
A
>
B
=
C
<
D
≈
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
49 is greater than 44.
29
Multiple Choice
Easy
1 Mark
Calculate: 49 - 34 = ?
A
14
B
15
C
16
D
34
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15
Step-by-Step Explanation:
49 - 34 = 15.
30
Multiple Choice
Easy
1 Mark
In Chapter 'Measurement of Weight', calculate: 15 + 34 = ?
A
59
B
50
C
48
D
49
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
49
Step-by-Step Explanation:
15 + 34 = 49.
31
Multiple Choice
Hard
1 Mark
What is the difference between (74 + 10) and (43 + 10)?
A
31
B
74
C
41
D
43
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
31
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (74 + 10) - (43 + 10) = 74 - 43 = 31.
32
Multiple Choice
Hard
1 Mark
A secret number plus 31 equals 74. If you double the secret number, what is the result?
A
45
B
86
C
43
D
148
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
86
Step-by-Step Explanation:
The secret number is 43. Doubling it gives 43 × 2 = 86.
33
Multiple Choice
Hard
1 Mark
If 43 + 31 = 74, what is 31 + 43?
A
75
B
74
C
43
D
31
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
74
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
34
Multiple Choice
Hard
1 Mark
Why is 74 greater than 43?
A
Numbers ending in 0 are always smaller
B
Because {v1} is an even number
C
Because 74 includes 43 plus an additional 31 items
D
Because {tot} has a bigger first digit
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 74 includes 43 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 74 - 31 and wrote 105. What was Sam's mistake?
A
He added instead of subtracting
B
He multiplied by 2
C
He forgot the units place
D
He divided the numbers
💡 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 43 + 31 = 84 because 'we must add 10 to every answer'. Why is this student wrong?
A
The answer is 0
B
Addition is only for 1-digit numbers
C
Addition means combining only the given numbers without adding extra amounts
D
The student subtracted instead
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Addition means combining only the given numbers without adding extra amounts
Step-by-Step Explanation:
43 + 31 equals exactly 74.
37
Multiple Choice
Medium
1 Mark
Complete the pattern: 43, 48, 53, [ ? ].
A
63
B
57
C
55
D
58
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
58
Step-by-Step Explanation:
The pattern increases by 5. 53 + 5 = 58.
38
Multiple Choice
Medium
1 Mark
Find the missing number: 43 + [ ? ] = 74.
A
32
B
31
C
30
D
43
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
31
Step-by-Step Explanation:
Missing value is 31 because 43 + 31 = 74.
39
Multiple Choice
Medium
1 Mark
In a school garden, there are 43 yellow marigolds and 31 purple petunias. How many flowers are blooming in total?
A
79 flowers
B
74 flowers
C
43 flowers
D
31 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
74 flowers
Step-by-Step Explanation:
43 + 31 = 74 flowers.
40
Multiple Choice
Medium
1 Mark
A school library received 74 new graphic novels. Students checked out 31 novels on Monday. How many new novels are still on the shelf?
A
31 novels
B
74 novels
C
43 novels
D
44 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43 novels
Step-by-Step Explanation:
74 - 31 = 43 novels remaining.
41
Multiple Choice
Medium
1 Mark
A baker packed 43 apple pies in the morning and 31 cherry pies in the afternoon. How many pies did the baker pack in all?
A
43 pies
B
72 pies
C
76 pies
D
74 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
74 pies
Step-by-Step Explanation:
43 + 31 = 74 pies in total.
42
Multiple Choice
Easy
1 Mark
What number is 10 more than 43?
A
53
B
44
C
33
D
63
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
53
Step-by-Step Explanation:
43 + 10 = 53.
43
Multiple Choice
Easy
1 Mark
Which comparison is correct: 74 [ ? ] 69?
A
<
B
=
C
≈
D
>
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
74 is greater than 69.
44
Multiple Choice
Easy
1 Mark
Calculate: 74 - 31 = ?
A
42
B
44
C
43
D
31
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43
Step-by-Step Explanation:
74 - 31 = 43.
45
Multiple Choice
Easy
1 Mark
In Chapter 'Measurement of Weight', calculate: 43 + 31 = ?
A
74
B
84
C
73
D
75
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
74
Step-by-Step Explanation:
43 + 31 = 74.
46
Multiple Choice
Hard
1 Mark
What is the difference between (64 + 10) and (36 + 10)?
A
64
B
28
C
38
D
36
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
28
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (64 + 10) - (36 + 10) = 64 - 36 = 28.
47
Multiple Choice
Hard
1 Mark
A secret number plus 28 equals 64. If you double the secret number, what is the result?
A
128
B
72
C
36
D
38
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
72
Step-by-Step Explanation:
The secret number is 36. Doubling it gives 36 × 2 = 72.
48
Multiple Choice
Hard
1 Mark
If 36 + 28 = 64, what is 28 + 36?
A
65
B
36
C
64
D
28
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
64
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
49
Multiple Choice
Hard
1 Mark
Why is 64 greater than 36?
A
Because 64 includes 36 plus an additional 28 items
B
Because {tot} has a bigger first digit
C
Numbers ending in 0 are always smaller
D
Because {v1} is an even number
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 64 includes 36 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 64 - 28 and wrote 92. What was Sam's mistake?
A
He added instead of subtracting
B
He multiplied by 2
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.