Lesson 18.2: Representing and Interpreting Data: Pictographs and Bar Graphs
Read and interpret pictographs where symbols represent multiple items, and analyze vertical/horizontal bar graphs.
⏱️ Reading Time: 15 mins
• ❓ 50 Interactive Practice Questions
🌟
Real-Life Story: Data Handling
The town library displays a reading challenge chart. A book symbol represents 4 books read. When Sarah sees 5 full book symbols next to her name, she knows she has read 20 books (5 × 4 = 20).
💡 Core Mathematical Concepts: Pictographs & Bar Graphs
Focus areas: Pictograph, key / scale, bar graph, axes, labels, comparison.
| Concept / Term | Mathematical Definition | Everyday Example |
|---|---|---|
| Pictograph | A visual graph using picture symbols to represent data quantities | Smileys, stars, or book icons |
| Key / Scale | Crucial statement indicating what quantity each symbol represents | Key: 🌟 = 4 points (Half a star = 2 points) |
| Bar Graph | A graph using solid bars of varying heights/lengths to display data across categories | Height of bar corresponds directly to frequency |
| Axes and Labels | The horizontal (x) and vertical (y) reference lines with titles and numerical scales | Shows category names and numbers |
🔍 Practical Classroom & Everyday Examples
Example 1: Always Check the Key First
In Grade 3, a pictograph symbol rarely equals 1; it often equals 2, 4, 5, or 10.
Example 2: Reading Bar Heights Against the Scale
Follow the top edge of a bar horizontally across to read the exact number on the vertical axis.
⚠️ Watch Out! Common Mistakes to Avoid
Common Error: Ignoring the key on a pictograph
Correction: Counting 4 star symbols as 4 items when the key says 1 star = 5 items causes a huge mistake (4 × 5 = 20)!
Common Error: Misreading half-symbols
Correction: A half-symbol represents exactly half the key value (e.g., if symbol = 10, half symbol = 5).
🎯 Quick Self-Check Challenge
On a pictograph, 🚗 represents 6 cars. How many cars are represented by 4 full car symbols and 1 half car symbol?
Answer & Explanation:
4 full symbols × 6 = 24. 1 half symbol = 3. 24 + 3 = 27 cars.
🎯 Key Learning Takeaways
Master Data Handling fundamentals.
📄 Printable Worksheets (5 Available)
Download ready-to-print PDFs for offline student practice with separate parent/teacher answer keys.
G3-M-CH18-WS05
A4 • 15 Qs
Data Handling — Worksheet 5
Tally Charts, Frequency Tables, Pictographs & Bar Graphs (Science Fair Visitor Votes)
G3-M-CH18-WS04
A4 • 15 Qs
Data Handling — Worksheet 4
Tally Charts, Frequency Tables, Pictographs & Bar Graphs (Healthy Snack Choices)
G3-M-CH18-WS03
A4 • 15 Qs
Data Handling — Worksheet 3
Tally Charts, Frequency Tables, Pictographs & Bar Graphs (Library Book Borrowing)
G3-M-CH18-WS02
A4 • 15 Qs
Data Handling — Worksheet 2
Tally Charts, Frequency Tables, Pictographs & Bar Graphs (Eco-Club Tree Planting)
G3-M-CH18-WS01
A4 • 15 Qs
Data Handling — Worksheet 1
Tally Charts, Frequency Tables, Pictographs & Bar Graphs (School Sports Day Attendance)
✍️ 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
A double bar graph compares boys and girls in 3 clubs. Art Club: 14 boys, 16 girls. Chess Club: 18 boys, 12 girls. Drama Club: 11 boys, 19 girls. Which club has the greatest total membership?
A
Art Club and Chess Club tied at 30 members each
B
Drama Club with 32 members
C
Chess Club with 35 members
D
All three clubs are equal
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Art Club and Chess Club tied at 30 members each
Step-by-Step Explanation:
Art: 14+16 = 30. Chess: 18+12 = 30. Drama: 11+19 = 30. All three clubs have exactly 30 members!
2
Short Answer
Hard
2 Marks
In a school library pictograph where 📚 = 6 books, Grade 3 borrowed 5 full symbols and 1 half symbol. Grade 4 borrowed 7 full symbols. What is the total number of books borrowed by both grades?
A
75 books
B
72 books
C
70 books
D
78 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
75 books
Step-by-Step Explanation:
Grade 3: (5 × 6) + 3 = 33 books. Grade 4: 7 × 6 = 42 books. Total: 33 + 42 = 75 books.
3
Short Answer
Hard
2 Marks
When creating a bar graph for data ranging from 0 to 100, which scale interval on the vertical axis is most practical?
A
Multiples of 10
B
Multiples of 1
C
Multiples of 100
D
Multiples of 50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Multiples of 10
Step-by-Step Explanation:
A scale of 10s (0, 10, 20... 100) requires only 10 grid lines, fitting comfortably and accurately on paper.
4
Short Answer
Hard
2 Marks
Why do we bundle tally marks into groups of 5 with a diagonal slash rather than just writing single vertical lines?
A
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
B
Because 5 is an even number
C
To make the page look colorful
D
Because pencils break if you draw 6 lines
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
Step-by-Step Explanation:
Bundling in fives makes large counts easy to verify and skip-count rapidly.
5
Short Answer
Medium
1 Mark
A bar graph scale increases by 5s (0, 5, 10, 15, 20). Maya says the bar halfway between 10 and 15 represents 12. What number does halfway actually represent?
A
12.5 (or twelve and a half)
B
13
C
11
D
14
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12.5 (or twelve and a half)
Step-by-Step Explanation:
Halfway between 10 and 15 is (10 + 15) ÷ 2 = 12.5.
6
Short Answer
Medium
1 Mark
Kiran looked at a pictograph where 🚲 = 4 bicycles. He counted 5 bicycle symbols and recorded '9 bicycles' by adding 5 + 4. What was his error?
A
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
B
He should have divided 5 by 4
C
The answer should be 15 bicycles
D
A pictograph can only use tallies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
Step-by-Step Explanation:
Each symbol represents 4, so multiply: 5 × 4 = 20 bicycles.
7
Fill in the Blanks
Medium
1 Mark
On a pictograph where 1 icon = 8 points, a team scored 56 points. How many icons must be drawn?
A
7 icons
B
6 icons
C
8 icons
D
9 icons
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7 icons
Step-by-Step Explanation:
56 ÷ 8 = 7 icons.
8
Fill in the Blanks
Medium
1 Mark
A frequency table shows 4 categories totaling 50 votes: Cat A (15), Cat B (18), Cat C (9), Cat D [ ? ]. What is Cat D's frequency?
A
8 votes
B
10 votes
C
7 votes
D
9 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 votes
Step-by-Step Explanation:
50 - (15 + 18 + 9) = 50 - 42 = 8 votes.
9
Short Answer
Medium
1 Mark
In a classroom survey of 40 students, 18 chose soccer, 12 chose basketball, and the rest chose swimming. How many students chose swimming?
A
10 students
B
8 students
C
12 students
D
14 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 students
Step-by-Step Explanation:
40 - (18 + 12) = 40 - 30 = 10 students.
10
Short Answer
Medium
1 Mark
A pictograph key shows 1 icon = 5 votes. Team Blue collected 9 icons and Team Red collected 6 icons. How many more votes did Team Blue receive?
A
15 votes
B
5 votes
C
10 votes
D
20 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
15 votes
Step-by-Step Explanation:
Team Blue had 3 more icons. 3 × 5 = 15 more votes.
11
Short Answer
Medium
1 Mark
During the Science Fair Visitor Votes, Class 3A planted 32 Ribbons and Class 3B planted 24 Ribbons. How many total Ribbons did both classes plant together?
A
56
B
54
C
58
D
52
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56
Step-by-Step Explanation:
32 + 24 = 56 items.
12
Multiple Choice
Easy
1 Mark
In a bar graph, Category A has a bar reaching 28 and Category B reaches 19. What is the difference between them?
A
9
B
8
C
10
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9
Step-by-Step Explanation:
28 - 19 = 9.
13
Multiple Choice
Easy
1 Mark
If 1 symbol represents 10 items, what quantity does half a symbol represent?
A
5 items
B
10 items
C
2 items
D
1 item
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
5 items
Step-by-Step Explanation:
Half of 10 is 5.
14
Multiple Choice
Easy
1 Mark
On a pictograph, each ★ represents 5 Ribbons. How many Ribbons are represented by 7 stars?
A
35 Ribbons
B
30 Ribbons
C
40 Ribbons
D
70 Ribbons
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
35 Ribbons
Step-by-Step Explanation:
7 × 5 = 35 Ribbons.
15
Multiple Choice
Easy
1 Mark
A survey records: 卌 卌 卌 |||. What is the total frequency?
A
18
B
17
C
19
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18
Step-by-Step Explanation:
3 bundles of 5 = 15. Plus 3 single tallies = 18.
16
Short Answer
Hard
2 Marks
A double bar graph compares boys and girls in 3 clubs. Art Club: 14 boys, 16 girls. Chess Club: 18 boys, 12 girls. Drama Club: 11 boys, 19 girls. Which club has the greatest total membership?
A
Art Club and Chess Club tied at 30 members each
B
Drama Club with 32 members
C
Chess Club with 35 members
D
All three clubs are equal
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Art Club and Chess Club tied at 30 members each
Step-by-Step Explanation:
Art: 14+16 = 30. Chess: 18+12 = 30. Drama: 11+19 = 30. All three clubs have exactly 30 members!
17
Short Answer
Hard
2 Marks
In a school library pictograph where 📚 = 6 books, Grade 3 borrowed 5 full symbols and 1 half symbol. Grade 4 borrowed 7 full symbols. What is the total number of books borrowed by both grades?
A
75 books
B
72 books
C
70 books
D
78 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
75 books
Step-by-Step Explanation:
Grade 3: (5 × 6) + 3 = 33 books. Grade 4: 7 × 6 = 42 books. Total: 33 + 42 = 75 books.
18
Short Answer
Hard
2 Marks
When creating a bar graph for data ranging from 0 to 100, which scale interval on the vertical axis is most practical?
A
Multiples of 10
B
Multiples of 1
C
Multiples of 100
D
Multiples of 50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Multiples of 10
Step-by-Step Explanation:
A scale of 10s (0, 10, 20... 100) requires only 10 grid lines, fitting comfortably and accurately on paper.
19
Short Answer
Hard
2 Marks
Why do we bundle tally marks into groups of 5 with a diagonal slash rather than just writing single vertical lines?
A
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
B
Because 5 is an even number
C
To make the page look colorful
D
Because pencils break if you draw 6 lines
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
Step-by-Step Explanation:
Bundling in fives makes large counts easy to verify and skip-count rapidly.
20
Short Answer
Medium
1 Mark
A bar graph scale increases by 5s (0, 5, 10, 15, 20). Maya says the bar halfway between 10 and 15 represents 12. What number does halfway actually represent?
A
12.5 (or twelve and a half)
B
13
C
11
D
14
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12.5 (or twelve and a half)
Step-by-Step Explanation:
Halfway between 10 and 15 is (10 + 15) ÷ 2 = 12.5.
21
Short Answer
Medium
1 Mark
Kiran looked at a pictograph where 🚲 = 4 bicycles. He counted 5 bicycle symbols and recorded '9 bicycles' by adding 5 + 4. What was his error?
A
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
B
He should have divided 5 by 4
C
The answer should be 15 bicycles
D
A pictograph can only use tallies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
Step-by-Step Explanation:
Each symbol represents 4, so multiply: 5 × 4 = 20 bicycles.
22
Fill in the Blanks
Medium
1 Mark
On a pictograph where 1 icon = 8 points, a team scored 56 points. How many icons must be drawn?
A
7 icons
B
6 icons
C
8 icons
D
9 icons
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7 icons
Step-by-Step Explanation:
56 ÷ 8 = 7 icons.
23
Fill in the Blanks
Medium
1 Mark
A frequency table shows 4 categories totaling 50 votes: Cat A (15), Cat B (18), Cat C (9), Cat D [ ? ]. What is Cat D's frequency?
A
8 votes
B
10 votes
C
7 votes
D
9 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 votes
Step-by-Step Explanation:
50 - (15 + 18 + 9) = 50 - 42 = 8 votes.
24
Short Answer
Medium
1 Mark
In a classroom survey of 40 students, 18 chose soccer, 12 chose basketball, and the rest chose swimming. How many students chose swimming?
A
10 students
B
8 students
C
12 students
D
14 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 students
Step-by-Step Explanation:
40 - (18 + 12) = 40 - 30 = 10 students.
25
Short Answer
Medium
1 Mark
A pictograph key shows 1 icon = 2 votes. Team Blue collected 10 icons and Team Red collected 7 icons. How many more votes did Team Blue receive?
A
6 votes
B
2 votes
C
4 votes
D
8 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
6 votes
Step-by-Step Explanation:
Team Blue had 3 more icons. 3 × 2 = 6 more votes.
26
Short Answer
Medium
1 Mark
During the Healthy Snack Choices, Class 3A planted 32 Fruit Baskets and Class 3B planted 24 Fruit Baskets. How many total Fruit Baskets did both classes plant together?
A
56
B
54
C
58
D
52
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56
Step-by-Step Explanation:
32 + 24 = 56 items.
27
Multiple Choice
Easy
1 Mark
In a bar graph, Category A has a bar reaching 28 and Category B reaches 19. What is the difference between them?
A
9
B
8
C
10
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9
Step-by-Step Explanation:
28 - 19 = 9.
28
Multiple Choice
Easy
1 Mark
If 1 symbol represents 4 items, what quantity does half a symbol represent?
A
2 items
B
4 items
C
1 items
D
1 item
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
2 items
Step-by-Step Explanation:
Half of 4 is 2.
29
Multiple Choice
Easy
1 Mark
On a pictograph, each ★ represents 2 Fruit Baskets. How many Fruit Baskets are represented by 8 stars?
A
16 Fruit Baskets
B
14 Fruit Baskets
C
18 Fruit Baskets
D
32 Fruit Baskets
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
16 Fruit Baskets
Step-by-Step Explanation:
8 × 2 = 16 Fruit Baskets.
30
Multiple Choice
Easy
1 Mark
A survey records: 卌 卌 卌 |||. What is the total frequency?
A
18
B
17
C
19
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18
Step-by-Step Explanation:
3 bundles of 5 = 15. Plus 3 single tallies = 18.
31
Short Answer
Hard
2 Marks
A double bar graph compares boys and girls in 3 clubs. Art Club: 14 boys, 16 girls. Chess Club: 18 boys, 12 girls. Drama Club: 11 boys, 19 girls. Which club has the greatest total membership?
A
Art Club and Chess Club tied at 30 members each
B
Drama Club with 32 members
C
Chess Club with 35 members
D
All three clubs are equal
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Art Club and Chess Club tied at 30 members each
Step-by-Step Explanation:
Art: 14+16 = 30. Chess: 18+12 = 30. Drama: 11+19 = 30. All three clubs have exactly 30 members!
32
Short Answer
Hard
2 Marks
In a school library pictograph where 📚 = 6 books, Grade 3 borrowed 5 full symbols and 1 half symbol. Grade 4 borrowed 7 full symbols. What is the total number of books borrowed by both grades?
A
75 books
B
72 books
C
70 books
D
78 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
75 books
Step-by-Step Explanation:
Grade 3: (5 × 6) + 3 = 33 books. Grade 4: 7 × 6 = 42 books. Total: 33 + 42 = 75 books.
33
Short Answer
Hard
2 Marks
When creating a bar graph for data ranging from 0 to 100, which scale interval on the vertical axis is most practical?
A
Multiples of 10
B
Multiples of 1
C
Multiples of 100
D
Multiples of 50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Multiples of 10
Step-by-Step Explanation:
A scale of 10s (0, 10, 20... 100) requires only 10 grid lines, fitting comfortably and accurately on paper.
34
Short Answer
Hard
2 Marks
Why do we bundle tally marks into groups of 5 with a diagonal slash rather than just writing single vertical lines?
A
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
B
Because 5 is an even number
C
To make the page look colorful
D
Because pencils break if you draw 6 lines
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
Step-by-Step Explanation:
Bundling in fives makes large counts easy to verify and skip-count rapidly.
35
Short Answer
Medium
1 Mark
A bar graph scale increases by 5s (0, 5, 10, 15, 20). Maya says the bar halfway between 10 and 15 represents 12. What number does halfway actually represent?
A
12.5 (or twelve and a half)
B
13
C
11
D
14
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12.5 (or twelve and a half)
Step-by-Step Explanation:
Halfway between 10 and 15 is (10 + 15) ÷ 2 = 12.5.
36
Short Answer
Medium
1 Mark
Kiran looked at a pictograph where 🚲 = 4 bicycles. He counted 5 bicycle symbols and recorded '9 bicycles' by adding 5 + 4. What was his error?
A
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
B
He should have divided 5 by 4
C
The answer should be 15 bicycles
D
A pictograph can only use tallies
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
He added instead of multiplying: 5 symbols × 4 bicycles = 20 bicycles
Step-by-Step Explanation:
Each symbol represents 4, so multiply: 5 × 4 = 20 bicycles.
37
Fill in the Blanks
Medium
1 Mark
On a pictograph where 1 icon = 8 points, a team scored 56 points. How many icons must be drawn?
A
7 icons
B
6 icons
C
8 icons
D
9 icons
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
7 icons
Step-by-Step Explanation:
56 ÷ 8 = 7 icons.
38
Fill in the Blanks
Medium
1 Mark
A frequency table shows 4 categories totaling 50 votes: Cat A (15), Cat B (18), Cat C (9), Cat D [ ? ]. What is Cat D's frequency?
A
8 votes
B
10 votes
C
7 votes
D
9 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
8 votes
Step-by-Step Explanation:
50 - (15 + 18 + 9) = 50 - 42 = 8 votes.
39
Short Answer
Medium
1 Mark
In a classroom survey of 40 students, 18 chose soccer, 12 chose basketball, and the rest chose swimming. How many students chose swimming?
A
10 students
B
8 students
C
12 students
D
14 students
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 students
Step-by-Step Explanation:
40 - (18 + 12) = 40 - 30 = 10 students.
40
Short Answer
Medium
1 Mark
A pictograph key shows 1 icon = 10 votes. Team Blue collected 7 icons and Team Red collected 4 icons. How many more votes did Team Blue receive?
A
30 votes
B
10 votes
C
20 votes
D
40 votes
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
30 votes
Step-by-Step Explanation:
Team Blue had 3 more icons. 3 × 10 = 30 more votes.
41
Short Answer
Medium
1 Mark
During the Library Book Borrowing, Class 3A planted 32 Books and Class 3B planted 24 Books. How many total Books did both classes plant together?
A
56
B
54
C
58
D
52
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
56
Step-by-Step Explanation:
32 + 24 = 56 items.
42
Multiple Choice
Easy
1 Mark
In a bar graph, Category A has a bar reaching 28 and Category B reaches 19. What is the difference between them?
A
9
B
8
C
10
D
7
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
9
Step-by-Step Explanation:
28 - 19 = 9.
43
Multiple Choice
Easy
1 Mark
If 1 symbol represents 20 items, what quantity does half a symbol represent?
A
10 items
B
20 items
C
5 items
D
1 item
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
10 items
Step-by-Step Explanation:
Half of 20 is 10.
44
Multiple Choice
Easy
1 Mark
On a pictograph, each ★ represents 10 Books. How many Books are represented by 5 stars?
A
50 Books
B
40 Books
C
60 Books
D
100 Books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
50 Books
Step-by-Step Explanation:
5 × 10 = 50 Books.
45
Multiple Choice
Easy
1 Mark
A survey records: 卌 卌 卌 |||. What is the total frequency?
A
18
B
17
C
19
D
16
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
18
Step-by-Step Explanation:
3 bundles of 5 = 15. Plus 3 single tallies = 18.
46
Short Answer
Hard
2 Marks
A double bar graph compares boys and girls in 3 clubs. Art Club: 14 boys, 16 girls. Chess Club: 18 boys, 12 girls. Drama Club: 11 boys, 19 girls. Which club has the greatest total membership?
A
Art Club and Chess Club tied at 30 members each
B
Drama Club with 32 members
C
Chess Club with 35 members
D
All three clubs are equal
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Art Club and Chess Club tied at 30 members each
Step-by-Step Explanation:
Art: 14+16 = 30. Chess: 18+12 = 30. Drama: 11+19 = 30. All three clubs have exactly 30 members!
47
Short Answer
Hard
2 Marks
In a school library pictograph where 📚 = 6 books, Grade 3 borrowed 5 full symbols and 1 half symbol. Grade 4 borrowed 7 full symbols. What is the total number of books borrowed by both grades?
A
75 books
B
72 books
C
70 books
D
78 books
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
75 books
Step-by-Step Explanation:
Grade 3: (5 × 6) + 3 = 33 books. Grade 4: 7 × 6 = 42 books. Total: 33 + 42 = 75 books.
48
Short Answer
Hard
2 Marks
When creating a bar graph for data ranging from 0 to 100, which scale interval on the vertical axis is most practical?
A
Multiples of 10
B
Multiples of 1
C
Multiples of 100
D
Multiples of 50
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Multiples of 10
Step-by-Step Explanation:
A scale of 10s (0, 10, 20... 100) requires only 10 grid lines, fitting comfortably and accurately on paper.
49
Short Answer
Hard
2 Marks
Why do we bundle tally marks into groups of 5 with a diagonal slash rather than just writing single vertical lines?
A
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
B
Because 5 is an even number
C
To make the page look colorful
D
Because pencils break if you draw 6 lines
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
Grouping into fives allows quick skip-counting (5, 10, 15...) and prevents errors when counting long rows of lines
Step-by-Step Explanation:
Bundling in fives makes large counts easy to verify and skip-count rapidly.
50
Short Answer
Medium
1 Mark
A bar graph scale increases by 5s (0, 5, 10, 15, 20). Maya says the bar halfway between 10 and 15 represents 12. What number does halfway actually represent?
A
12.5 (or twelve and a half)
B
13
C
11
D
14
💡 Click to View Correct Answer & Explanation ▼
Correct Answer:
12.5 (or twelve and a half)
Step-by-Step Explanation:
Halfway between 10 and 15 is (10 + 15) ÷ 2 = 12.5.