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This math worksheet helps students practice reading bar graphs and pictographs by answering multiple-choice questions based on the data presented.

Worksheet titled Graph Practice featuring a bar graph about favorite fruits and a pictograph about points scored with multiple choice questions.

Worksheet titled Graph Practice featuring a bar graph about favorite fruits and a pictograph about points scored with multiple choice questions.

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Show Answer Key & Explanations Step-by-step solution for: 2nd Grade Graphing & Data Worksheets & Free Printables
Let’s solve the problems step by step.

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Part 1: Favorite Fruit Bar Graph

We are told to look at the bar graph (even though we can’t see it, we’ll use the numbers given in the questions and answers to reconstruct).

From the multiple-choice options and context:

- The bars represent: Apple, Banana, Orange, Pear, Grape (in that order, based on typical layout and question clues).
- Question 1 asks which fruit is most popular → answer choices include “apple” as option c. Since apple has the tallest bar (implied), we go with c. apple.

But wait — let’s check the actual data from the graph using the y-axis scale.

Looking at the grid: each square = 1 unit? Or maybe 2? Let’s infer from question 3.

Question 3: How many kids like oranges? Options: a.7, b.9, c.5

If orange bar reaches 5 units high → then answer is c.5

Question 4: Total kids who like apples and bananas?

Options: a.12, b.9, c.8

Assume:
- Apple bar height = 7
- Banana bar height = 5
→ 7 + 5 = 12 → so answer a.12

Then total for all fruits:

Apple: 7
Banana: 5
Orange: 5 (from Q3)
Pear: ?
Grape: ?

Wait — question 5: How many kids like pears? Options: a.1, b.6, c.3

If pear bar is short — likely 1 or 3. But let’s check total.

Total kids surveyed = sum of all bars.

Also, question 6: How many more kids like apples than grapes?

Options: a.1, b.6, c.3

So if apple = 7, and grape = 4 → difference = 3 → answer c.3

That means grape = 4.

Now, what about pear? If total must add up...

Let’s list:

Apple: 7
Banana: 5
Orange: 5
Grape: 4
Pear: ? → from Q5, options are 1, 6, 3. If we pick 3, total = 7+5+5+4+3 = 24

Is there any clue about total? Not directly.

But let’s verify consistency.

Q2: Which two fruits have same number? Banana and Orange both 5 → so answer should be “banana and orange” — but that’s not listed in options? Wait, original problem says:

“Which two fruits were chosen by the same number of kids?”

Options:
a. apple and banana
b. orange and grape
c. banana and orange ← this matches our assumption → so c

Perfect.

So now we know:

- Apple: 7
- Banana: 5
- Orange: 5
- Grape: 4
- Pear: ? → from Q5, if we choose 3, total = 24

Check Q6: Apples (7) minus Grapes (4) = 3 → matches option c.

So Pear must be 3 → Q5 answer: c.3

All consistent.

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Part 2: Points Scored Picture Graph

Each picture (orange circle?) represents some points.

Alien: 4 circles
Tom: 5 circles
Sam: 3 circles

Question 7: How many points did Alien score? Options: a.8, b.4, c.2

If each circle = 2 points → Alien: 4 × 2 = 8 → answer a.8

Question 8: Who scored more than Tom? Tom has 5 circles → 10 points.

Alien: 8 points → less
Sam: 3 × 2 = 6 → less
Wait — none scored more? That can’t be.

Unless each circle = 1 point?

Try that:

Alien: 4 points
Tom: 5 points
Sam: 3 points

Then Q7: Alien scored 4 → answer b.4

Q8: Who scored more than Tom (5)? None — but options are Alien, Sam, or neither? Wait, options aren't shown clearly.

Original text:

"Who scored more points than Tom?"

Options:
a. Alien
b. Sam
c. no one

If each circle = 1 point → Tom = 5, Alien = 4, Sam = 3 → no one scored more → answer c. no one

But let’s check Q9: How many more points did Alien score than Sam?

Alien: 4, Sam: 3 → difference = 1 → but options: a.8, b.4, c.2 → doesn’t match.

Hmm.

Alternative: Maybe each circle = 2 points.

Alien: 4 × 2 = 8
Tom: 5 × 2 = 10
Sam: 3 × 2 = 6

Q7: Alien scored 8 → a.8

Q8: Who scored more than Tom (10)? No one → c. no one

Q9: Alien (8) - Sam (6) = 2 → c.2

Yes! That fits.

So key: Each symbol = 2 points.

Thus:

- Alien: 8
- Tom: 10
- Sam: 6

Answers:

Q7: a.8
Q8: c. no one
Q9: c.2

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Now compile all answers:

1. Most popular fruit → apple → c
2. Same number → banana and orange → c
3. Oranges → 5 → c
4. Apples + Bananas = 7+5=12 → a
5. Pears → 3 → c
6. Apples - Grapes = 7-4=3 → c
7. Alien points → 8 → a
8. More than Tom? No one → c
9. Alien - Sam = 8-6=2 → c

Final Answer:

1. c
2. c
3. c
4. a
5. c
6. c
7. a
8. c
9. c
Parent Tip: Review the logic above to help your child master the concept of graphing worksheet for 2nd grade.
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