💡 2nd Grade Math: Reading Bar Graphs and Pictographs Practice Questions
1
Solved Example
Easy Level
Look at the bar graph below showing the favorite fruits of some students.
Favorite Fruits
Apples: 🍎🍎🍎🍎
Bananas: 🍌🍌🍌🍌🍌🍌
Oranges: 🍊🍊
Grapes: 🍇🍇🍇🍇🍇
How many students chose bananas as their favorite fruit?
Solution & Explanation
Let's count the number of emojis for bananas.
Each 🍌 represents 1 student.
There are 6 🍌 emojis.
So, 6 students chose bananas as their favorite fruit.
💡 Tip: When reading a pictograph, always check what each picture or symbol represents!
2
Solved Example
Easy Level
The bar graph shows the number of pets owned by children in a class.
Number of Pets
Dogs: ▇▇▇▇▇▇▇▇
Cats: ▇▇▇▇▇
Fish: ▇▇
Birds: ▇▇▇▇▇▇
If each ▇ represents 2 pets, how many dogs do the children have in total?
Solution & Explanation
We need to find the total number of dogs. Remember that each ▇ represents 2 pets.
There are 8 ▇ for dogs.
Total dogs = Number of ▇ × Value of each ▇
Total dogs = \(8 \times 2\)
Total dogs = \(16\)
So, the children have 16 dogs in total. ✅
3
Solved Example
Medium Level
This pictograph shows the number of books read by students in a week.
Books Read in a Week
Sarah: 📚📚📚
Tom: 📚📚📚📚📚
Lisa: 📚📚
Each 📚 represents 3 books.
Who read more books, Sarah or Lisa? How many more?
Solution & Explanation
First, let's find out how many books each person read.
Sarah: She has 3 📚. \(3 \times 3 = 9\) books.
Lisa: She has 2 📚. \(2 \times 3 = 6\) books.
Now, let's compare:
Sarah read 9 books and Lisa read 6 books.
Sarah read more books than Lisa.
To find how many more, we subtract: \(9 - 6 = 3\).
Sarah read 3 more books than Lisa. 👉
4
Solved Example
Medium Level
The bar graph shows the number of different colored cars in a parking lot.
Cars in the Parking Lot
Red: 10
Blue: 8
Green: 12
Yellow: 5
How many more green cars are there than red cars?
Solution & Explanation
We need to find the difference between the number of green cars and red cars.
Number of green cars = 12
Number of red cars = 10
Difference = Number of green cars - Number of red cars
Difference = \(12 - 10\)
Difference = \(2\)
There are 2 more green cars than red cars. 📌
5
Solved Example
Medium Level
This pictograph shows the number of goals scored by a soccer team in different games.
Goals Scored
Game 1: ⚽⚽
Game 2: ⚽⚽⚽⚽
Game 3: ⚽
Game 4: ⚽⚽⚽
Each ⚽ represents 2 goals.
If the team scored a total of 18 goals in these four games, how many goals does each ⚽ actually represent?
Solution & Explanation
This question asks us to find the value of each symbol if we know the total.
Let 'x' be the number of goals each ⚽ represents.
Game 1: 2 ⚽ = \(2x\) goals
Game 2: 4 ⚽ = \(4x\) goals
Game 3: 1 ⚽ = \(1x\) goals
Game 4: 3 ⚽ = \(3x\) goals
Total goals = \(2x + 4x + 1x + 3x\)
Total goals = \(10x\)
We are told the total goals scored is 18. So, \(10x = 18\).
To find x, we divide 18 by 10: \(x = \frac{18}{10}\)
\(x = 1.8\)
Each ⚽ actually represents 1.8 goals. (This might seem unusual, but in math problems, symbols can represent any number!) 🤔
6
Solved Example
Medium Level
The bar graph shows the number of students who like different ice cream flavors.
Favorite Ice Cream Flavors
Vanilla: ▇▇▇▇▇
Chocolate: ▇▇▇▇▇▇▇
Strawberry: ▇▇▇
If the total number of students surveyed is 30, and each ▇ represents the same number of students, how many students does each ▇ represent?
Solution & Explanation
We need to find the value of each ▇.
Let 'y' be the number of students each ▇ represents.
Vanilla: 5 ▇ = \(5y\) students
Chocolate: 7 ▇ = \(7y\) students
Strawberry: 3 ▇ = \(3y\) students
Total students = \(5y + 7y + 3y\)
Total students = \(15y\)
We know the total number of students is 30. So, \(15y = 30\).
To find y, we divide 30 by 15: \(y = \frac{30}{15}\)
\(y = 2\)
Each ▇ represents 2 students. ✅
7
Solved Example
Real World Example
Imagine you are helping your mom at the grocery store. She wants to buy apples and bananas. She looks at a sign that shows how many of each fruit are left.
Fruits Available
Apples: 🍎🍎🍎🍎🍎🍎
Bananas: 🍌🍌🍌🍌🍌🍌🍌🍌
If each 🍎 represents 5 apples and each 🍌 represents 4 bananas, how many apples and how many bananas are there?
Solution & Explanation
Let's count the fruits using the information given.
Apples: There are 6 🍎. Each 🍎 is 5 apples.
Total apples = \(6 \times 5\) = \(30\) apples.
Bananas: There are 8 🍌. Each 🍌 is 4 bananas.
Total bananas = \(8 \times 4\) = \(32\) bananas.
There are 30 apples and 32 bananas available. This helps you know how much to buy! 🛒
8
Solved Example
Real World Example
Your teacher wants to know how many students in the class have a pet. She made a simple bar graph.
Class Pets
Dogs: ▇▇▇▇
Cats: ▇▇▇
Fish: ▇▇▇▇▇
Birds: ▇
She tells you that each ▇ on the graph represents 3 students.
How many students have a dog as a pet?
Solution & Explanation
We need to find the number of students who have dogs.
Look at the bar for "Dogs". It has 4 ▇.
Each ▇ represents 3 students.
Number of students with dogs = Number of ▇ × Value of each ▇
Number of students with dogs = \(4 \times 3\)
Number of students with dogs = \(12\)
12 students in the class have a dog as a pet. 🐶
2nd Grade Math: Reading Bar Graphs and Pictographs Practice Questions
Example 1:
Look at the bar graph below showing the favorite fruits of some students.
Favorite Fruits
Apples: 🍎🍎🍎🍎
Bananas: 🍌🍌🍌🍌🍌🍌
Oranges: 🍊🍊
Grapes: 🍇🍇🍇🍇🍇
How many students chose bananas as their favorite fruit?
Solution:
Let's count the number of emojis for bananas.
Each 🍌 represents 1 student.
There are 6 🍌 emojis.
So, 6 students chose bananas as their favorite fruit.
💡 Tip: When reading a pictograph, always check what each picture or symbol represents!
Example 2:
The bar graph shows the number of pets owned by children in a class.
Number of Pets
Dogs: ▇▇▇▇▇▇▇▇
Cats: ▇▇▇▇▇
Fish: ▇▇
Birds: ▇▇▇▇▇▇
If each ▇ represents 2 pets, how many dogs do the children have in total?
Solution:
We need to find the total number of dogs. Remember that each ▇ represents 2 pets.
There are 8 ▇ for dogs.
Total dogs = Number of ▇ × Value of each ▇
Total dogs = \(8 \times 2\)
Total dogs = \(16\)
So, the children have 16 dogs in total. ✅
Example 3:
This pictograph shows the number of books read by students in a week.
Books Read in a Week
Sarah: 📚📚📚
Tom: 📚📚📚📚📚
Lisa: 📚📚
Each 📚 represents 3 books.
Who read more books, Sarah or Lisa? How many more?
Solution:
First, let's find out how many books each person read.
Sarah: She has 3 📚. \(3 \times 3 = 9\) books.
Lisa: She has 2 📚. \(2 \times 3 = 6\) books.
Now, let's compare:
Sarah read 9 books and Lisa read 6 books.
Sarah read more books than Lisa.
To find how many more, we subtract: \(9 - 6 = 3\).
Sarah read 3 more books than Lisa. 👉
Example 4:
The bar graph shows the number of different colored cars in a parking lot.
Cars in the Parking Lot
Red: 10
Blue: 8
Green: 12
Yellow: 5
How many more green cars are there than red cars?
Solution:
We need to find the difference between the number of green cars and red cars.
Number of green cars = 12
Number of red cars = 10
Difference = Number of green cars - Number of red cars
Difference = \(12 - 10\)
Difference = \(2\)
There are 2 more green cars than red cars. 📌
Example 5:
This pictograph shows the number of goals scored by a soccer team in different games.
Goals Scored
Game 1: ⚽⚽
Game 2: ⚽⚽⚽⚽
Game 3: ⚽
Game 4: ⚽⚽⚽
Each ⚽ represents 2 goals.
If the team scored a total of 18 goals in these four games, how many goals does each ⚽ actually represent?
Solution:
This question asks us to find the value of each symbol if we know the total.
Let 'x' be the number of goals each ⚽ represents.
Game 1: 2 ⚽ = \(2x\) goals
Game 2: 4 ⚽ = \(4x\) goals
Game 3: 1 ⚽ = \(1x\) goals
Game 4: 3 ⚽ = \(3x\) goals
Total goals = \(2x + 4x + 1x + 3x\)
Total goals = \(10x\)
We are told the total goals scored is 18. So, \(10x = 18\).
To find x, we divide 18 by 10: \(x = \frac{18}{10}\)
\(x = 1.8\)
Each ⚽ actually represents 1.8 goals. (This might seem unusual, but in math problems, symbols can represent any number!) 🤔
Example 6:
The bar graph shows the number of students who like different ice cream flavors.
Favorite Ice Cream Flavors
Vanilla: ▇▇▇▇▇
Chocolate: ▇▇▇▇▇▇▇
Strawberry: ▇▇▇
If the total number of students surveyed is 30, and each ▇ represents the same number of students, how many students does each ▇ represent?
Solution:
We need to find the value of each ▇.
Let 'y' be the number of students each ▇ represents.
Vanilla: 5 ▇ = \(5y\) students
Chocolate: 7 ▇ = \(7y\) students
Strawberry: 3 ▇ = \(3y\) students
Total students = \(5y + 7y + 3y\)
Total students = \(15y\)
We know the total number of students is 30. So, \(15y = 30\).
To find y, we divide 30 by 15: \(y = \frac{30}{15}\)
\(y = 2\)
Each ▇ represents 2 students. ✅
Example 7:
Imagine you are helping your mom at the grocery store. She wants to buy apples and bananas. She looks at a sign that shows how many of each fruit are left.
Fruits Available
Apples: 🍎🍎🍎🍎🍎🍎
Bananas: 🍌🍌🍌🍌🍌🍌🍌🍌
If each 🍎 represents 5 apples and each 🍌 represents 4 bananas, how many apples and how many bananas are there?
Solution:
Let's count the fruits using the information given.
Apples: There are 6 🍎. Each 🍎 is 5 apples.
Total apples = \(6 \times 5\) = \(30\) apples.
Bananas: There are 8 🍌. Each 🍌 is 4 bananas.
Total bananas = \(8 \times 4\) = \(32\) bananas.
There are 30 apples and 32 bananas available. This helps you know how much to buy! 🛒
Example 8:
Your teacher wants to know how many students in the class have a pet. She made a simple bar graph.
Class Pets
Dogs: ▇▇▇▇
Cats: ▇▇▇
Fish: ▇▇▇▇▇
Birds: ▇
She tells you that each ▇ on the graph represents 3 students.
How many students have a dog as a pet?
Solution:
We need to find the number of students who have dogs.
Look at the bar for "Dogs". It has 4 ▇.
Each ▇ represents 3 students.
Number of students with dogs = Number of ▇ × Value of each ▇