Lesson 18.1: Collecting, Sorting, and Tally Marks: Frequency Tables

Record survey counts using groups of five tally marks and organize findings into frequency tables.

⏱️ Reading Time: 15 mins • ❓ 50 Interactive Practice Questions
🌟

Real-Life Story: Data Handling

A Grade 3 class conducts a survey of favorite cafeteria fruits. As students vote, the monitor marks four vertical strokes and draws a diagonal strike through them for the fifth vote (卌), making counting by 5s quick and error-free.

💡 Core Mathematical Concepts: Collecting, Sorting & Tally Charts

Focus areas: Survey, tally marks, bundle of 5, frequency table, data collection.

Concept / Term Mathematical Definition Everyday Example
Tally Mark (|) A single vertical stroke representing 1 count or observation ||| represents 3 votes
Tally Bundle of 5 (卌) Four vertical strokes crossed by a fifth diagonal stroke representing 5 卌 || represents 5 + 2 = 7
Frequency The total number of times a particular event or category occurs Frequency of 'Apple' = 12
Frequency Table A structured table showing categories, tally marks, and numerical frequencies Used to summarize raw survey data

🔍 Practical Classroom & Everyday Examples

Example 1: Counting by 5s with Tallies

Skip-count completed bundles of 5 and add single strokes (e.g., 卌 卌 卌 || = 15 + 2 = 17).

Example 2: Data Verification

The sum of all frequencies in the table must equal the total number of survey respondents.

⚠️ Watch Out! Common Mistakes to Avoid

Common Error: Drawing 5 vertical lines before crossing

Correction: The fifth stroke IS the diagonal cross line, not an extra line! 卌 has 4 uprights + 1 slash = 5.

Common Error: Miscounting loose tally marks

Correction: Always group in complete fives before counting individual leftover tallies.

🎯 Quick Self-Check Challenge

A student records the tally: 卌 卌 卌 ||||. What is the total frequency count?

Answer & Explanation:

3 bundles of 5 = 15. Plus 4 single strokes = 19. Total frequency is 19.

🎯 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.

Non-Repetitive Real-Life Maths
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.
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