Answer Keys: Data Analysis & Graphs

Grade 3 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers
1. Orange (pictograph)
5 × 2 = 10 students
2. Apple vs Grapes
8 - 4 = 4 more
3. Aiden (bar graph)
10 books
4. Carlos + Sofia
20 + 22* = 42 books
5. Total pencils (line plot)
1 + 3 + 5 + 2 + 1 = 12 pencils

*Note: Sofia's bar shows approximately 22 books based on bar height

Practice Worksheet Answers (22 Problems)
Part A: Scaled Pictograph (Key: 1 symbol = 5 animals)
1. Fish
6 × 5 = 30
2. Birds
3 × 5 = 15
3. Hamsters
4 × 5 = 20
4. Dogs - Cats
25 - 10 = 15
5. Total animals
30 + 15 + 20 + 10 + 25 = 100
Part B: Scaled Bar Graph (Scale: 0, 4, 8, 12, 16)
6. Soccer
12
7. Basketball
8
8. Fewest votes
Tennis (4)
9. Soccer - Baseball
12 - 6 = 6
10. Basketball + Swimming
8 + 10 = 18
Part C: Line Plot (Number of Siblings)
11. 1 sibling
6
12. 0 siblings
3
13. Most common
1 sibling
14. 3 or more
2 + 1 = 3
15. Total students
3+6+4+2+1 = 16
Part D: Pictograph (Key: 1 symbol = 2 cookies)
16. Monday
5 × 2 = 10
17. Wednesday
7 × 2 = 14
18. Fewest day
Tuesday
19. Wed - Tues
14 - 6 = 8
20. Total (4 days)
10+6+14+8 = 38
Part E: Create a Graph
21. Pictograph
Red: 2 symbols, Blue: 5 symbols, Green: 3 symbols, Yellow: 1 symbol
22. Question
Answers vary (e.g., "How many students chose blue?")
FAST Practice Quiz Answers
1
C. 12
Emma has 4 symbols × 3 stickers each = 12 stickers
2
C. 9
Lily: 5 × 3 = 15; Noah: 2 × 3 = 6; Difference: 15 - 6 = 9
3
42 stickers
Emma: 12 + James: 9 + Lily: 15 + Noah: 6 = 42
4
C. 8
October's bar reaches the 8 line on the scale
5
C. November
November's bar is the shortest (4 rainy days)
6
2
September: 6 rainy days; November: 4 rainy days; 6 - 4 = 2
7
C. 4
Count the X marks above 9: there are 4 Xs
8
12 games
Add all X marks: 1 + 3 + 2 + 4 + 2 = 12
9
C. 15
James: 3 × 3 = 9 stickers; 9 + 6 more = 15 stickers
10
C. 14
September: 6 + October: 8 = 14 rainy days

Scoring Guide

Assessment Total Points Proficient (70%+) Focus Area if Struggling
Student Concept Worksheet 5 points 4+ correct Practice reading the KEY first
Practice Worksheet 22 points 15+ correct Focus on scaled pictographs
FAST Practice Quiz 10 points 7+ correct Practice two-step problems

Common Errors: Ignoring the scale/key (counting symbols as 1 each), misreading bar heights between scale lines, forgetting to add/subtract for two-step problems.