Lesson 20.2: Multi-Step Problem Solving Strategies: CUBES and Bar Models
Master the CUBES strategy and Singapore bar models to break down complex multi-step Grade 3 word problems.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Real-Life Maths Word Problems
When faced with a long word problem, an engineer uses the CUBES method: Circle the numbers, Underline the question, Box math action words, Evaluate what steps to take, and Solve and check. This structured approach prevents confusion and reveals the exact sequence of mathematical operations.
💡 Core Mathematical Concepts: Multi-Step Problem Solving (CUBES)
Focus areas: CUBES strategy, bar models, multi-step operations, check reasonableness.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| C - Circle Key Numbers | Highlight numbers and unit labels in the problem | Circle: 4 boxes, 6 markers, 2 lost |
| U - Underline the Question | Identify precisely what answer is being asked for | 'How many markers remain?' |
| B - Box Action Words | Find operational clues: 'in all' (+), 'left/difference' (-), 'each' (×), 'shared' (÷) | Box: 'shared equally' |
| E - Evaluate & Plan | Determine the correct order of operations (Step 1, Step 2) | Step 1: Multiply total. Step 2: Subtract remaining. |
| S - Solve & Check | Compute clearly with units, and re-read the question to ensure the answer makes sense | Check if 22 markers is reasonable |
🔍 Practical Classroom & Everyday Examples
Example 1: Drawing Bar Models (Part-Whole)
Draw rectangle bars to represent totals and parts visually. This makes it instantly obvious whether to add, subtract, multiply, or divide.
Example 2: Writing Answers with Proper Units
Always include units (e.g., $15, 24 students, 12 meters) to give mathematical meaning to your numbers.
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Stopping after Step 1 of a 2-step problem
Correction: Many word problems require two operations. Never stop after finding the intermediate step!
Common Error: Relying only on 'keyword matching' without understanding context
Correction: 'More' does not always mean add! E.g., 'Sam has 10 marbles, which is 4 more than Leo' means Leo has 10 - 4 = 6.
🎯 Quick Self-Check Challenge
A baker bakes 60 muffins in the morning. He sells 38 muffins at lunchtime. In the afternoon, he bakes 25 more muffins. How many muffins does he have now?
Answer & Explanation:
Step 1 (after lunchtime sales): 60 - 38 = 22 muffins. Step 2 (afternoon baking): 22 + 25 = 47 muffins.
🎯 Key Learning Takeaways
Master Real-Life Maths Word Problems fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH20-WS05
A4 • 15 Qs
Real-Life Maths Word Problems — Worksheet 5
Multi-Step Applications & Problem-Solving Strategies (Wildlife Zoo Adventure)
G3-M-CH20-WS04
A4 • 15 Qs
Real-Life Maths Word Problems — Worksheet 4
Multi-Step Applications & Problem-Solving Strategies (Children's Book Fair)
G3-M-CH20-WS03
A4 • 15 Qs
Real-Life Maths Word Problems — Worksheet 3
Multi-Step Applications & Problem-Solving Strategies (School Sports Carnival)
G3-M-CH20-WS02
A4 • 15 Qs
Real-Life Maths Word Problems — Worksheet 2
Multi-Step Applications & Problem-Solving Strategies (City Transit Bus Network)
G3-M-CH20-WS01
A4 • 15 Qs
Real-Life Maths Word Problems — Worksheet 1
Multi-Step Applications & Problem-Solving Strategies (Community Supermarket)
✍️ Lesson Practice Questions (50 Questions)
Solve these real-world challenges online, test your understanding, and reveal instant step-by-step explanations.
1
Short Answer
Hard
2 Marks
Three siblings (Alex, Ben, and Chloe) saved money together. Alex saved twice as much as Ben. Chloe saved $15, which is $5 less than Ben. How much money did all three save altogether?
A
$75
B
$65
C
$70
D
$80
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$75
Step-by-Step Explanation:
Chloe = $15. Ben saved $5 more than Chloe = $15 + $5 = $20. Alex saved twice as much as Ben = 2 × $20 = $40. Total: $40 + $20 + $15 = $75.
2
Short Answer
Hard
2 Marks
A school bus holds 45 passengers. 128 students and 12 teachers are going on a field trip. What is the minimum number of buses needed to transport everyone?
A
4 buses
B
3 buses
C
5 buses
D
6 buses
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 buses
Step-by-Step Explanation:
Total people: 128 + 12 = 140 people. 140 ÷ 45 = 3 with 5 people left over. 4 buses are needed so nobody is left behind.
3
Short Answer
Hard
2 Marks
A fruit vendor sells apples at 3 for $2. If a customer buys 12 apples, how much do they pay?
A
$8
B
$6
C
$10
D
$12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8
Step-by-Step Explanation:
12 apples ÷ 3 = 4 groups of three. 4 × $2 = $8.
4
Short Answer
Hard
2 Marks
In solving a multi-step word problem, why is drawing a bar model or diagram helpful before doing calculations?
A
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
B
It replaces the need to do arithmetic
C
It is required for grading only
D
Because bar models always give the final answer automatically
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
Step-by-Step Explanation:
Bar models make the part-whole and comparison relationships visually obvious.
5
Short Answer
Medium
1 Mark
A problem states: 'A teacher packs 28 books into 3 boxes equally. How many books are left over?' Lina calculates 28 ÷ 3 = 9 R 1, and answers '9 books'. What did Lina answer incorrectly?
A
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
B
28 cannot be divided by 3
C
The remainder is 2
D
Each box gets 8 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
Step-by-Step Explanation:
The question asked for books left over (the remainder), which is 1, not the quotient 9.
6
Short Answer
Medium
1 Mark
Tariq reads: 'Adam has 15 stickers. He has 5 more stickers than Bilal. How many stickers does Bilal have?' Tariq calculates 15 + 5 = 20. Why is Tariq incorrect?
A
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
B
Stickers cannot be subtracted
C
The answer should be 15 × 5 = 75
D
Adam and Bilal must have equal stickers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
Step-by-Step Explanation:
Because Adam has 5 more than Bilal, Bilal must have 15 - 5 = 10 stickers.
7
Fill in the Blanks
Medium
1 Mark
Maya has $50. She buys 2 shirts at the same price and has $14 left. What is the cost of ONE shirt?
A
$18
B
$16
C
$20
D
$22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$18
Step-by-Step Explanation:
Money spent: $50 - $14 = $36. Cost of one shirt: $36 ÷ 2 = $18.
8
Fill in the Blanks
Medium
1 Mark
Find the missing quantity: [ ? ] tickets at $12 each cost $48 in total.
A
4
B
5
C
3
D
6
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4
Step-by-Step Explanation:
Divide total by unit price: $48 ÷ $12 = 4 tickets.
9
Short Answer
Medium
1 Mark
A bookshop had 85 storybooks on Monday. They sold 34 books on Tuesday and 26 books on Wednesday. How many books remain on the shelf?
A
25 books
B
20 books
C
30 books
D
15 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
25 books
Step-by-Step Explanation:
85 - (34 + 26) = 85 - 60 = 25 books.
10
Short Answer
Medium
1 Mark
A family travels on a bus. Adult tickets cost $8 each and child tickets cost $4 each. What is the total cost for 2 adults and 3 children?
A
$28
B
$24
C
$30
D
$32
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$28
Step-by-Step Explanation:
(2 × $8) + (3 × $4) = $16 + $12 = $28.
11
Short Answer
Medium
1 Mark
At the Wildlife Zoo Adventure, an organizer buys 2 items costing $12 each. If they pay with a $40 bill, what is the change received?
A
$16
B
$18
C
$13
D
$21
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$16
Step-by-Step Explanation:
Total cost: 2 × $12 = $24. Change: $40 - $24 = $16.
12
Multiple Choice
Easy
1 Mark
Compute: 120 - 45 - 35 =
A
40
B
45
C
50
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
40
Step-by-Step Explanation:
120 - 45 = 75. 75 - 35 = 40.
13
Multiple Choice
Easy
1 Mark
Find the value of (45 ÷ 5) × 3 =
A
27
B
24
C
30
D
21
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
27
Step-by-Step Explanation:
45 ÷ 5 = 9. 9 × 3 = 27.
14
Multiple Choice
Easy
1 Mark
Calculate: 40 - (2 × 6) =
A
28
B
33
C
23
D
10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
28
Step-by-Step Explanation:
Multiply first: 2 × 6 = 12. Then subtract from 40.
15
Multiple Choice
Easy
1 Mark
Evaluate the two-step expression: (2 × 12) + 15 =
A
39
B
34
C
44
D
36
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
39
Step-by-Step Explanation:
(2 × 12) = 24. 24 + 15 = 39.
16
Short Answer
Hard
2 Marks
Three siblings (Alex, Ben, and Chloe) saved money together. Alex saved twice as much as Ben. Chloe saved $15, which is $5 less than Ben. How much money did all three save altogether?
A
$75
B
$65
C
$70
D
$80
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$75
Step-by-Step Explanation:
Chloe = $15. Ben saved $5 more than Chloe = $15 + $5 = $20. Alex saved twice as much as Ben = 2 × $20 = $40. Total: $40 + $20 + $15 = $75.
17
Short Answer
Hard
2 Marks
A school bus holds 45 passengers. 128 students and 12 teachers are going on a field trip. What is the minimum number of buses needed to transport everyone?
A
4 buses
B
3 buses
C
5 buses
D
6 buses
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 buses
Step-by-Step Explanation:
Total people: 128 + 12 = 140 people. 140 ÷ 45 = 3 with 5 people left over. 4 buses are needed so nobody is left behind.
18
Short Answer
Hard
2 Marks
A fruit vendor sells apples at 3 for $2. If a customer buys 12 apples, how much do they pay?
A
$8
B
$6
C
$10
D
$12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8
Step-by-Step Explanation:
12 apples ÷ 3 = 4 groups of three. 4 × $2 = $8.
19
Short Answer
Hard
2 Marks
In solving a multi-step word problem, why is drawing a bar model or diagram helpful before doing calculations?
A
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
B
It replaces the need to do arithmetic
C
It is required for grading only
D
Because bar models always give the final answer automatically
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
Step-by-Step Explanation:
Bar models make the part-whole and comparison relationships visually obvious.
20
Short Answer
Medium
1 Mark
A problem states: 'A teacher packs 28 books into 3 boxes equally. How many books are left over?' Lina calculates 28 ÷ 3 = 9 R 1, and answers '9 books'. What did Lina answer incorrectly?
A
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
B
28 cannot be divided by 3
C
The remainder is 2
D
Each box gets 8 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
Step-by-Step Explanation:
The question asked for books left over (the remainder), which is 1, not the quotient 9.
21
Short Answer
Medium
1 Mark
Tariq reads: 'Adam has 15 stickers. He has 5 more stickers than Bilal. How many stickers does Bilal have?' Tariq calculates 15 + 5 = 20. Why is Tariq incorrect?
A
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
B
Stickers cannot be subtracted
C
The answer should be 15 × 5 = 75
D
Adam and Bilal must have equal stickers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
Step-by-Step Explanation:
Because Adam has 5 more than Bilal, Bilal must have 15 - 5 = 10 stickers.
22
Fill in the Blanks
Medium
1 Mark
Maya has $50. She buys 2 shirts at the same price and has $14 left. What is the cost of ONE shirt?
A
$18
B
$16
C
$20
D
$22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$18
Step-by-Step Explanation:
Money spent: $50 - $14 = $36. Cost of one shirt: $36 ÷ 2 = $18.
23
Fill in the Blanks
Medium
1 Mark
Find the missing quantity: [ ? ] tickets at $5 each cost $48 in total.
A
9
B
10
C
8
D
6
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9
Step-by-Step Explanation:
Divide total by unit price: $48 ÷ $5 = 9 tickets.
24
Short Answer
Medium
1 Mark
A bookshop had 85 storybooks on Monday. They sold 34 books on Tuesday and 26 books on Wednesday. How many books remain on the shelf?
A
25 books
B
20 books
C
30 books
D
15 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
25 books
Step-by-Step Explanation:
85 - (34 + 26) = 85 - 60 = 25 books.
25
Short Answer
Medium
1 Mark
A family travels on a bus. Adult tickets cost $8 each and child tickets cost $4 each. What is the total cost for 2 adults and 3 children?
A
$28
B
$24
C
$30
D
$32
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$28
Step-by-Step Explanation:
(2 × $8) + (3 × $4) = $16 + $12 = $28.
26
Short Answer
Medium
1 Mark
At the Children's Book Fair, an organizer buys 6 items costing $5 each. If they pay with a $50 bill, what is the change received?
A
$20
B
$22
C
$17
D
$25
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$20
Step-by-Step Explanation:
Total cost: 6 × $5 = $30. Change: $50 - $30 = $20.
27
Multiple Choice
Easy
1 Mark
Compute: 120 - 45 - 35 =
A
40
B
45
C
50
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
40
Step-by-Step Explanation:
120 - 45 = 75. 75 - 35 = 40.
28
Multiple Choice
Easy
1 Mark
Find the value of (45 ÷ 5) × 3 =
A
27
B
24
C
30
D
21
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
27
Step-by-Step Explanation:
45 ÷ 5 = 9. 9 × 3 = 27.
29
Multiple Choice
Easy
1 Mark
Calculate: 50 - (6 × 2) =
A
38
B
43
C
33
D
10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
38
Step-by-Step Explanation:
Multiply first: 6 × 2 = 12. Then subtract from 50.
30
Multiple Choice
Easy
1 Mark
Evaluate the two-step expression: (6 × 5) + 15 =
A
45
B
40
C
50
D
42
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
45
Step-by-Step Explanation:
(6 × 5) = 30. 30 + 15 = 45.
31
Short Answer
Hard
2 Marks
Three siblings (Alex, Ben, and Chloe) saved money together. Alex saved twice as much as Ben. Chloe saved $15, which is $5 less than Ben. How much money did all three save altogether?
A
$75
B
$65
C
$70
D
$80
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$75
Step-by-Step Explanation:
Chloe = $15. Ben saved $5 more than Chloe = $15 + $5 = $20. Alex saved twice as much as Ben = 2 × $20 = $40. Total: $40 + $20 + $15 = $75.
32
Short Answer
Hard
2 Marks
A school bus holds 45 passengers. 128 students and 12 teachers are going on a field trip. What is the minimum number of buses needed to transport everyone?
A
4 buses
B
3 buses
C
5 buses
D
6 buses
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 buses
Step-by-Step Explanation:
Total people: 128 + 12 = 140 people. 140 ÷ 45 = 3 with 5 people left over. 4 buses are needed so nobody is left behind.
33
Short Answer
Hard
2 Marks
A fruit vendor sells apples at 3 for $2. If a customer buys 12 apples, how much do they pay?
A
$8
B
$6
C
$10
D
$12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8
Step-by-Step Explanation:
12 apples ÷ 3 = 4 groups of three. 4 × $2 = $8.
34
Short Answer
Hard
2 Marks
In solving a multi-step word problem, why is drawing a bar model or diagram helpful before doing calculations?
A
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
B
It replaces the need to do arithmetic
C
It is required for grading only
D
Because bar models always give the final answer automatically
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
Step-by-Step Explanation:
Bar models make the part-whole and comparison relationships visually obvious.
35
Short Answer
Medium
1 Mark
A problem states: 'A teacher packs 28 books into 3 boxes equally. How many books are left over?' Lina calculates 28 ÷ 3 = 9 R 1, and answers '9 books'. What did Lina answer incorrectly?
A
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
B
28 cannot be divided by 3
C
The remainder is 2
D
Each box gets 8 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
Step-by-Step Explanation:
The question asked for books left over (the remainder), which is 1, not the quotient 9.
36
Short Answer
Medium
1 Mark
Tariq reads: 'Adam has 15 stickers. He has 5 more stickers than Bilal. How many stickers does Bilal have?' Tariq calculates 15 + 5 = 20. Why is Tariq incorrect?
A
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
B
Stickers cannot be subtracted
C
The answer should be 15 × 5 = 75
D
Adam and Bilal must have equal stickers
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Adam has more stickers than Bilal, so Bilal has FEWER: 15 - 5 = 10 stickers
Step-by-Step Explanation:
Because Adam has 5 more than Bilal, Bilal must have 15 - 5 = 10 stickers.
37
Fill in the Blanks
Medium
1 Mark
Maya has $50. She buys 2 shirts at the same price and has $14 left. What is the cost of ONE shirt?
A
$18
B
$16
C
$20
D
$22
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$18
Step-by-Step Explanation:
Money spent: $50 - $14 = $36. Cost of one shirt: $36 ÷ 2 = $18.
38
Fill in the Blanks
Medium
1 Mark
Find the missing quantity: [ ? ] tickets at $7 each cost $48 in total.
A
6
B
7
C
5
D
6
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6
Step-by-Step Explanation:
Divide total by unit price: $48 ÷ $7 = 6 tickets.
39
Short Answer
Medium
1 Mark
A bookshop had 85 storybooks on Monday. They sold 34 books on Tuesday and 26 books on Wednesday. How many books remain on the shelf?
A
25 books
B
20 books
C
30 books
D
15 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
25 books
Step-by-Step Explanation:
85 - (34 + 26) = 85 - 60 = 25 books.
40
Short Answer
Medium
1 Mark
A family travels on a bus. Adult tickets cost $8 each and child tickets cost $4 each. What is the total cost for 2 adults and 3 children?
A
$28
B
$24
C
$30
D
$32
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$28
Step-by-Step Explanation:
(2 × $8) + (3 × $4) = $16 + $12 = $28.
41
Short Answer
Medium
1 Mark
At the School Sports Carnival, an organizer buys 5 items costing $7 each. If they pay with a $45 bill, what is the change received?
A
$10
B
$12
C
$7
D
$15
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$10
Step-by-Step Explanation:
Total cost: 5 × $7 = $35. Change: $45 - $35 = $10.
42
Multiple Choice
Easy
1 Mark
Compute: 120 - 45 - 35 =
A
40
B
45
C
50
D
35
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
40
Step-by-Step Explanation:
120 - 45 = 75. 75 - 35 = 40.
43
Multiple Choice
Easy
1 Mark
Find the value of (45 ÷ 5) × 3 =
A
27
B
24
C
30
D
21
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
27
Step-by-Step Explanation:
45 ÷ 5 = 9. 9 × 3 = 27.
44
Multiple Choice
Easy
1 Mark
Calculate: 45 - (5 × 3) =
A
30
B
35
C
25
D
10
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30
Step-by-Step Explanation:
Multiply first: 5 × 3 = 15. Then subtract from 45.
45
Multiple Choice
Easy
1 Mark
Evaluate the two-step expression: (5 × 7) + 15 =
A
50
B
45
C
55
D
47
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
50
Step-by-Step Explanation:
(5 × 7) = 35. 35 + 15 = 50.
46
Short Answer
Hard
2 Marks
Three siblings (Alex, Ben, and Chloe) saved money together. Alex saved twice as much as Ben. Chloe saved $15, which is $5 less than Ben. How much money did all three save altogether?
A
$75
B
$65
C
$70
D
$80
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$75
Step-by-Step Explanation:
Chloe = $15. Ben saved $5 more than Chloe = $15 + $5 = $20. Alex saved twice as much as Ben = 2 × $20 = $40. Total: $40 + $20 + $15 = $75.
47
Short Answer
Hard
2 Marks
A school bus holds 45 passengers. 128 students and 12 teachers are going on a field trip. What is the minimum number of buses needed to transport everyone?
A
4 buses
B
3 buses
C
5 buses
D
6 buses
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
4 buses
Step-by-Step Explanation:
Total people: 128 + 12 = 140 people. 140 ÷ 45 = 3 with 5 people left over. 4 buses are needed so nobody is left behind.
48
Short Answer
Hard
2 Marks
A fruit vendor sells apples at 3 for $2. If a customer buys 12 apples, how much do they pay?
A
$8
B
$6
C
$10
D
$12
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
$8
Step-by-Step Explanation:
12 apples ÷ 3 = 4 groups of three. 4 × $2 = $8.
49
Short Answer
Hard
2 Marks
In solving a multi-step word problem, why is drawing a bar model or diagram helpful before doing calculations?
A
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
B
It replaces the need to do arithmetic
C
It is required for grading only
D
Because bar models always give the final answer automatically
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
It visually organizes the relationship between known parts and the whole, making it clear which operations (+, -, ×, ÷) to perform
Step-by-Step Explanation:
Bar models make the part-whole and comparison relationships visually obvious.
50
Short Answer
Medium
1 Mark
A problem states: 'A teacher packs 28 books into 3 boxes equally. How many books are left over?' Lina calculates 28 ÷ 3 = 9 R 1, and answers '9 books'. What did Lina answer incorrectly?
A
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
B
28 cannot be divided by 3
C
The remainder is 2
D
Each box gets 8 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
She stated the quotient (number of books per box) instead of the remainder (books left over = 1)
Step-by-Step Explanation:
The question asked for books left over (the remainder), which is 1, not the quotient 9.