Lesson 12.2: Number Patterns and Completing Missing Sequences
Determine algebraic rules in number sequences.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
#NumberPatterns #CompletingMissingPatterns #PatternRules
Number Patterns & Completing Missing Sequences
Numbers follow secret rules to create patterns! By discovering the rule (like adding 2 or subtracting 5), you can find any missing number.
?
Pattern Rule: Circle, Triangle, Circle, Triangle... Next is Triangle!
Patterns: Spot the repeating core unit and predict what comes next.
1. Finding the Pattern Rule
Look at: 10, 20, 30, 40, [ ? ]. Compare adjacent numbers: each step adds 10 (+10). So the missing number is 40 + 10 = 50!
Rule Examples:
• 2, 4, 6, 8, 10 (Rule: +2)
• 15, 20, 25, 30 (Rule: +5)
• 50, 45, 40, 35 (Rule: -5)
• 2, 4, 6, 8, 10 (Rule: +2)
• 15, 20, 25, 30 (Rule: +5)
• 50, 45, 40, 35 (Rule: -5)
2. Alternating and Decreasing Patterns
Some patterns count down: 90, 80, 70, 60, [ 50 ]. Some alternate: 1, 10, 2, 20, 3, 30, 4, [ 40 ]!
Mystery Detective: Always check if numbers are getting larger (+) or smaller (-)!
💡 Key Learning Takeaways
- Find whether numbers are increasing or decreasing.
- Calculate the difference between neighbors to find the rule.
- Apply the rule to fill missing blanks.
🎯 Key Learning Takeaways
Number patterns and sequences.
📄 Printable Worksheets (10 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
WL-G2-C12-W10
A4 • 15 Qs
Patterns — Worksheet 10
Curriculum Excellence & Final Review
WL-G2-C12-W09
A4 • 15 Qs
Patterns — Worksheet 9
Mastery Assessment & Progress Check
WL-G2-C12-W08
A4 • 15 Qs
Patterns — Worksheet 8
Mixed Review & Reinforcement
WL-G2-C12-W07
A4 • 15 Qs
Patterns — Worksheet 7
Everyday Applications & Story Maths
WL-G2-C12-W06
A4 • 15 Qs
Patterns — Worksheet 6
Critical Thinking & Deep Understanding
WL-G2-C12-W05
A4 • 15 Qs
Patterns — Worksheet 5
Speed Challenge & Quick Check
WL-G2-C12-W04
A4 • 15 Qs
Patterns — Worksheet 4
Problem Solving & Real-Life Stories
WL-G2-C12-W03
A4 • 15 Qs
Patterns — Worksheet 3
Hands-on Visual Activity & Matching
WL-G2-C12-W02
A4 • 15 Qs
Patterns — Worksheet 2
Essential Practice & Skill Builder
WL-G2-C12-W01
A4 • 15 Qs
Patterns — 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 (43 + 10) and (16 + 10)?
A
43
B
16
C
27
D
37
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
27
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (43 + 10) - (16 + 10) = 43 - 16 = 27.
2
Multiple Choice
Hard
1 Mark
A secret number plus 27 equals 43. If you double the secret number, what is the result?
A
86
B
18
C
32
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
32
Step-by-Step Explanation:
The secret number is 16. Doubling it gives 16 × 2 = 32.
3
Multiple Choice
Hard
1 Mark
If 16 + 27 = 43, what is 27 + 16?
A
27
B
16
C
44
D
43
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
4
Multiple Choice
Hard
1 Mark
Why is 43 greater than 16?
A
Because {tot} has a bigger first digit
B
Because {v1} is an even number
C
Numbers ending in 0 are always smaller
D
Because 43 includes 16 plus an additional 27 items
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 43 includes 16 plus an additional 27 items
Step-by-Step Explanation:
Adding a positive quantity always increases the total.
5
Multiple Choice
Medium
1 Mark
Sam evaluated 43 - 27 and wrote 70. 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.
6
Multiple Choice
Medium
1 Mark
A student claimed that 16 + 27 = 53 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
Addition is only for 1-digit numbers
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:
16 + 27 equals exactly 43.
7
Multiple Choice
Medium
1 Mark
Complete the pattern: 16, 21, 26, [ ? ].
A
36
B
28
C
30
D
31
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
31
Step-by-Step Explanation:
The pattern increases by 5. 26 + 5 = 31.
8
Multiple Choice
Medium
1 Mark
Find the missing number: 16 + [ ? ] = 43.
A
26
B
16
C
28
D
27
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
27
Step-by-Step Explanation:
Missing value is 27 because 16 + 27 = 43.
9
Multiple Choice
Medium
1 Mark
In a school garden, there are 16 yellow marigolds and 27 purple petunias. How many flowers are blooming in total?
A
27 flowers
B
48 flowers
C
16 flowers
D
43 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43 flowers
Step-by-Step Explanation:
16 + 27 = 43 flowers.
10
Multiple Choice
Medium
1 Mark
A school library received 43 new graphic novels. Students checked out 27 novels on Monday. How many new novels are still on the shelf?
A
17 novels
B
27 novels
C
43 novels
D
16 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
16 novels
Step-by-Step Explanation:
43 - 27 = 16 novels remaining.
11
Multiple Choice
Medium
1 Mark
A baker packed 16 apple pies in the morning and 27 cherry pies in the afternoon. How many pies did the baker pack in all?
A
41 pies
B
43 pies
C
45 pies
D
16 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43 pies
Step-by-Step Explanation:
16 + 27 = 43 pies in total.
12
Multiple Choice
Easy
1 Mark
What number is 10 more than 16?
A
17
B
6
C
26
D
36
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
26
Step-by-Step Explanation:
16 + 10 = 26.
13
Multiple Choice
Easy
1 Mark
Which comparison is correct: 43 [ ? ] 38?
A
≈
B
<
C
>
D
=
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
43 is greater than 38.
14
Multiple Choice
Easy
1 Mark
Calculate: 43 - 27 = ?
A
17
B
16
C
27
D
15
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
16
Step-by-Step Explanation:
43 - 27 = 16.
15
Multiple Choice
Easy
1 Mark
In Chapter 'Patterns', calculate: 16 + 27 = ?
A
44
B
42
C
53
D
43
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
43
Step-by-Step Explanation:
16 + 27 = 43.
16
Multiple Choice
Hard
1 Mark
What is the difference between (68 + 10) and (44 + 10)?
A
44
B
34
C
68
D
24
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
24
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (68 + 10) - (44 + 10) = 68 - 44 = 24.
17
Multiple Choice
Hard
1 Mark
A secret number plus 24 equals 68. If you double the secret number, what is the result?
A
88
B
44
C
136
D
46
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
88
Step-by-Step Explanation:
The secret number is 44. Doubling it gives 44 × 2 = 88.
18
Multiple Choice
Hard
1 Mark
If 44 + 24 = 68, what is 24 + 44?
A
24
B
69
C
68
D
44
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
68
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
19
Multiple Choice
Hard
1 Mark
Why is 68 greater than 44?
A
Because {tot} has a bigger first digit
B
Because 68 includes 44 plus an additional 24 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 68 includes 44 plus an additional 24 items
Step-by-Step Explanation:
Adding a positive quantity always increases the total.
20
Multiple Choice
Medium
1 Mark
Sam evaluated 68 - 24 and wrote 92. What was Sam's mistake?
A
He forgot the units place
B
He divided the numbers
C
He added instead of subtracting
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.
21
Multiple Choice
Medium
1 Mark
A student claimed that 44 + 24 = 78 because 'we must add 10 to every answer'. Why is this student wrong?
A
The student subtracted instead
B
The answer is 0
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:
44 + 24 equals exactly 68.
22
Multiple Choice
Medium
1 Mark
Complete the pattern: 44, 49, 54, [ ? ].
A
56
B
59
C
64
D
58
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
59
Step-by-Step Explanation:
The pattern increases by 5. 54 + 5 = 59.
23
Multiple Choice
Medium
1 Mark
Find the missing number: 44 + [ ? ] = 68.
A
23
B
25
C
24
D
44
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
24
Step-by-Step Explanation:
Missing value is 24 because 44 + 24 = 68.
24
Multiple Choice
Medium
1 Mark
In a school garden, there are 44 yellow marigolds and 24 purple petunias. How many flowers are blooming in total?
A
24 flowers
B
73 flowers
C
44 flowers
D
68 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
68 flowers
Step-by-Step Explanation:
44 + 24 = 68 flowers.
25
Multiple Choice
Medium
1 Mark
A school library received 68 new graphic novels. Students checked out 24 novels on Monday. How many new novels are still on the shelf?
A
44 novels
B
24 novels
C
45 novels
D
68 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
44 novels
Step-by-Step Explanation:
68 - 24 = 44 novels remaining.
26
Multiple Choice
Medium
1 Mark
A baker packed 44 apple pies in the morning and 24 cherry pies in the afternoon. How many pies did the baker pack in all?
A
44 pies
B
70 pies
C
68 pies
D
66 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
68 pies
Step-by-Step Explanation:
44 + 24 = 68 pies in total.
27
Multiple Choice
Easy
1 Mark
What number is 10 more than 44?
A
34
B
54
C
64
D
45
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
54
Step-by-Step Explanation:
44 + 10 = 54.
28
Multiple Choice
Easy
1 Mark
Which comparison is correct: 68 [ ? ] 63?
A
≈
B
>
C
=
D
<
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
68 is greater than 63.
29
Multiple Choice
Easy
1 Mark
Calculate: 68 - 24 = ?
A
44
B
43
C
24
D
45
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
44
Step-by-Step Explanation:
68 - 24 = 44.
30
Multiple Choice
Easy
1 Mark
In Chapter 'Patterns', calculate: 44 + 24 = ?
A
69
B
78
C
67
D
68
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
68
Step-by-Step Explanation:
44 + 24 = 68.
31
Multiple Choice
Hard
1 Mark
What is the difference between (58 + 10) and (37 + 10)?
A
58
B
21
C
37
D
31
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
21
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (58 + 10) - (37 + 10) = 58 - 37 = 21.
32
Multiple Choice
Hard
1 Mark
A secret number plus 21 equals 58. If you double the secret number, what is the result?
A
39
B
74
C
37
D
116
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
74
Step-by-Step Explanation:
The secret number is 37. Doubling it gives 37 × 2 = 74.
33
Multiple Choice
Hard
1 Mark
If 37 + 21 = 58, what is 21 + 37?
A
37
B
21
C
58
D
59
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
58
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
34
Multiple Choice
Hard
1 Mark
Why is 58 greater than 37?
A
Because {tot} has a bigger first digit
B
Because {v1} is an even number
C
Because 58 includes 37 plus an additional 21 items
D
Numbers ending in 0 are always smaller
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 58 includes 37 plus an additional 21 items
Step-by-Step Explanation:
Adding a positive quantity always increases the total.
35
Multiple Choice
Medium
1 Mark
Sam evaluated 58 - 21 and wrote 79. 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.
36
Multiple Choice
Medium
1 Mark
A student claimed that 37 + 21 = 68 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
Addition is only for 1-digit numbers
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:
37 + 21 equals exactly 58.
37
Multiple Choice
Medium
1 Mark
Complete the pattern: 37, 42, 47, [ ? ].
A
51
B
57
C
52
D
49
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
52
Step-by-Step Explanation:
The pattern increases by 5. 47 + 5 = 52.
38
Multiple Choice
Medium
1 Mark
Find the missing number: 37 + [ ? ] = 58.
A
22
B
37
C
21
D
20
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
21
Step-by-Step Explanation:
Missing value is 21 because 37 + 21 = 58.
39
Multiple Choice
Medium
1 Mark
In a school garden, there are 37 yellow marigolds and 21 purple petunias. How many flowers are blooming in total?
A
21 flowers
B
37 flowers
C
58 flowers
D
63 flowers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
58 flowers
Step-by-Step Explanation:
37 + 21 = 58 flowers.
40
Multiple Choice
Medium
1 Mark
A school library received 58 new graphic novels. Students checked out 21 novels on Monday. How many new novels are still on the shelf?
A
38 novels
B
37 novels
C
58 novels
D
21 novels
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
37 novels
Step-by-Step Explanation:
58 - 21 = 37 novels remaining.
41
Multiple Choice
Medium
1 Mark
A baker packed 37 apple pies in the morning and 21 cherry pies in the afternoon. How many pies did the baker pack in all?
A
37 pies
B
56 pies
C
58 pies
D
60 pies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
58 pies
Step-by-Step Explanation:
37 + 21 = 58 pies in total.
42
Multiple Choice
Easy
1 Mark
What number is 10 more than 37?
A
57
B
47
C
27
D
38
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
47
Step-by-Step Explanation:
37 + 10 = 47.
43
Multiple Choice
Easy
1 Mark
Which comparison is correct: 58 [ ? ] 53?
A
=
B
≈
C
<
D
>
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
>
Step-by-Step Explanation:
58 is greater than 53.
44
Multiple Choice
Easy
1 Mark
Calculate: 58 - 21 = ?
A
37
B
36
C
21
D
38
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
37
Step-by-Step Explanation:
58 - 21 = 37.
45
Multiple Choice
Easy
1 Mark
In Chapter 'Patterns', calculate: 37 + 21 = ?
A
57
B
59
C
68
D
58
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
58
Step-by-Step Explanation:
37 + 21 = 58.
46
Multiple Choice
Hard
1 Mark
What is the difference between (48 + 10) and (30 + 10)?
A
18
B
30
C
28
D
48
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18
Step-by-Step Explanation:
Adding 10 to both numbers does not change their difference: (48 + 10) - (30 + 10) = 48 - 30 = 18.
47
Multiple Choice
Hard
1 Mark
A secret number plus 18 equals 48. If you double the secret number, what is the result?
A
96
B
32
C
30
D
60
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
60
Step-by-Step Explanation:
The secret number is 30. Doubling it gives 30 × 2 = 60.
48
Multiple Choice
Hard
1 Mark
If 30 + 18 = 48, what is 18 + 30?
A
49
B
48
C
18
D
30
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
48
Step-by-Step Explanation:
The order of addends does not affect the sum (commutative property).
49
Multiple Choice
Hard
1 Mark
Why is 48 greater than 30?
A
Because {v1} is an even number
B
Numbers ending in 0 are always smaller
C
Because 48 includes 30 plus an additional 18 items
D
Because {tot} has a bigger first digit
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Because 48 includes 30 plus an additional 18 items
Step-by-Step Explanation:
Adding a positive quantity always increases the total.
50
Multiple Choice
Medium
1 Mark
Sam evaluated 48 - 18 and wrote 66. 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.