Word Problems: The Other Side of Zero | Mathematics for Class 6 PDF Download

Q1: Priya starts on Floor 8 and presses -4 in the lift. Then, she presses +7. What floor will Priya reach? Write the expression for this movement.

Sol: Starting floor = 8. 
First movement: 8 + (-4) = 4. 
Second movement: 4 + 7 = 11.

Expression: 8 + (-4) + 7 = 11.

Priya will reach Floor 11.

Q2: Meera rolls two dice with faces numbered 1 to 6. Their sum is 10. Possible sums are 5, 6, 8, 10, 11, 12. What numbers did Meera roll on the dice?

Sol: Possible pairs for sum 10: (4, 6), (5, 5), (6, 4).
Meera rolled the numbers 4 and 6 (or 5 and 5).

Q3: Today is 2025, and Rohan is studying history. What year was it 180 years ago when his ancestors lived?

Sol: Present year = 2025. 180 years ago: 2025 - 180 = 1845.

The year was 1845.

Q4: Sameer writes a sequence on the board: 3, 6, 9, 12, __, __, __. Help him complete the next three terms.

Sol: The sequence increases by 3 each time: 
3,
3+3 = 6, 
6+3 = 9, 
9+3 = 12, 
So the next 3 terms will be 
12+3 = 15, 
15+3 = 18, 
18 + 3 = 21.

The next three terms are 15, 18, 21.

Q5: Neha arranges 60 tokens in a line for a game. If every 3rd token is green, how many green tokens does Neha have?

Ans: Total tokens = 60. Every 3rd token is green: 3, 6, 9, ..., 60.

Number of green tokens = 60 ÷ 3 = 20.

Neha has 20 green tokens.

Q6: Rohit buys a book for ₹45 and a pen for ₹15. He gives the shopkeeper ₹100. How much change does Rohit get? Write the expression for the total cost.

Sol: Total cost: ₹45 + ₹15 = ₹60. 

Change: ₹100 - ₹60 = ₹40.
Expression for total cost: 45 + 15 = 60.
Rohit gets ₹40 in change.

Q7: Priya arranges books on a shelf in a pattern. She places 5 books on the first shelf, 8 books on the second shelf, 11 books on the third shelf, and so on. How many books will she arrange on the 4th shelf?

Sol: The pattern increases by 3 books per shelf: 5, 8, 11, 14, ...

Shelf 1: 5, Shelf 2: 8, Shelf 3: 11, Shelf 4: 14.

There are 14 books on the 4th shelf.

Q8:  On Sunday, the temperature in Anika’s city is 30°C. It drops by 4°C in the afternoon and then rises by 2°C in the evening. What is the final temperature?

Sol:  Initial temperature = 30°C. 

Afternoon: 30 + (-4) = 26°C. 

Evening: 26 + 2 = 28°C.

Expression: 30 + (-4) + 2 = 28.

The final temperature is 28°C.

Q9: Siddharth starts on Floor 10 in a building. To reach Floor -1, he presses -5 and then presses another button. What button does Siddharth press next?

Sol:  Siddharth starts on Floor 10. 
After pressing -5: 10 + (-5) = 5.
To reach Floor -1 from Floor 5: 
5 + x = -1 
→ x = - 6.
Siddharth presses - 6 next.

Q10: If the present year is 2025, what year will it be in 80 years?

Sol: Present year = 2025. In 80 years: 2025 + 80 = 2105.

The year will be 2105.