🔢 Large Numbers – Word Problems (Class 7)
- A stadium has 45,000 seats. If 1,235 people attend a match every day for 30 days, how many total people visited the stadium in that month? Was it more or less than the stadium capacity?
- A factory produces 8,250 pens every day. How many pens are produced in 25 days? Express your answer in lakhs if applicable.
- A city library has 5 floors. Each floor has 12 rows of shelves, and each row has 3,000 books. How many books are there in total in the library?
- The school annual report showed these expenses:
- Electricity: ₹52,000
- Furniture: ₹1,24,500
- Events: ₹87,300
What is the total expenditure? Round it to the nearest thousand.
- A cargo ship can carry 9,78,600 kg. It is loaded with 3 containers weighing 2,34,520 kg, 3,12,180 kg, and 1,98,950 kg. How much more weight can be added before it reaches capacity?
🧮 Fractions – Word Problems (Class 7)
- Ravi ran 3443 of a 12 km marathon. How much distance does he have left to run?
- A water tank is filled to 5885 of its capacity. If the tank holds 80 litres when full, how much water is still needed to fill it?
- Nina spent 2552 of her pocket money on books and 1441 on a toy. What fraction of her money is left?
- A chocolate bar is divided into 16 equal pieces. Riya ate 5885 of it. How many pieces did she eat?
- A recipe needs 3443 cup of sugar. If you want to make only half the recipe, how much sugar will you use?
🧠 Calculator Button Problem (Class 7 Level)
1. A calculator has buttons +1, +10, +100, +1000.
How can you get 3,472 using the least number of clicks?
✍️ Write the expression and total clicks.
2. Using only +1, +10, +100, +1000 buttons, reach the number 7,205.
Can you do it in less than 20 clicks?
✍️ Write the best possible expression and number of clicks.
3. You want to reach 9,039 using the fewest button presses.
Use +1, +10, +100, +1000.
✍️ Write the expression.
4. A scoreboard needs to show 4,607 using calculator buttons (+1, +10, +100, +1000).
What’s the most efficient way to reach this number?
✍️ Show the expression and number of clicks.
5. Get the number 5,518 using the least number of button presses.
Can you do it in under 15 clicks?
✍️ Write the expression.
🔻 SUBTRACTION WORD PROBLEMS
A. Numbers (Large Numbers)
- A library had 12,500 books. After a fire, 3,725 books were damaged. How many books are left?
- A factory produced 85,000 items in January and 67,540 in February. How many more items were made in January?
- A truck was carrying 97,652 kg of goods. 46,210 kg were offloaded at the first stop. How much weight remains?
- A concert hall can hold 18,000 people. If 14,850 attended, how many seats were empty?
- A bank had ₹7,86,900. After a withdrawal of ₹2,43,750, how much is left?
B. Fractions
- From a 5-litre bottle of juice, 3443 litre was poured out. How much juice is left?
- Riya had 7887 meter of ribbon. She used 3883 meter. How much is left?
- A tank was 910109 full. After using 2552, how full is it now?
- A recipe needs 5665 cup of flour, but you have already used 1221. How much more do you need?
- Out of a day, Rohan spent 5885 of his time studying. He later reduced it to 3883. How much time did he reduce?
C. Calculator (Subtraction)
- Starting from 7,200, subtract to reach 4,156 using the least clicks of −1000, −100, −10, and −1.
- You’re at 9,876. How can you reach exactly 5,000 using subtraction buttons efficiently?
- Starting from 6,432, subtract until you reach 2,000. Find the button sequence.
- A scoreboard shows 8,250. You want to reduce it to 6,000. How many and which buttons would you press?
- Begin at 5,843. Reach 1,103 with fewest subtraction steps using −1000, −100, −10, −1.
✖️ MULTIPLICATION WORD PROBLEMS
A. Numbers (Large Numbers)
- A school has 45 classrooms. Each has 38 desks. How many desks in total?
- A shop sells 125 packets of biscuits each day. How many in 24 days?
- Each crate holds 250 mangoes. If there are 125 crates, how many mangoes are there?
- A company prints 3,200 pages daily. How many pages in 15 days?
- One notebook costs ₹45. How much do 340 notebooks cost?
B. Fractions
- What is 3443 of 64?
- A cake recipe uses 2552 cup of sugar for 1 cake. How much for 6 cakes?
- An athlete runs 5665 km in a lap. How far in 12 laps?
- A cloth is 2332 meters long. If you cut 9 such pieces, what’s the total length?
- A box weighs 710107 kg. What is the total weight of 20 boxes?
C. Calculator (Multiplication-style using repeated addition)
- Pressing +100 eight times gives what number?
- What number do you get if you press +1000 five times and +100 three times?
- Use only +10 button. How many times must you press it to get 320?
- Using +1, how many presses to make 250? Is it better to use other buttons?
- Press +1000 six times, +100 four times, +10 eight times, and +1 three times. What number do you get?
➗ DIVISION WORD PROBLEMS
A. Numbers (Large Numbers)
- 9,600 books are packed into boxes of 120. How many boxes are needed?
- A company earned ₹7,56,000 in 12 months. What was the monthly income?
- 48,000 litres of oil were delivered equally to 400 tanks. How much per tank?
- A team of 60 workers built 15,000 bricks. How many bricks did each worker make on average?
- A rope 1,200 meters long is cut into 30 equal pieces. What is the length of each?
B. Fractions
- Divide 3443 by 3.
- A recipe uses 2332 of a cup of milk. How much is needed per person if 4 people share it equally?
- 5665 of a meter is cut into 5 equal parts. How long is each part?
- A container holds 7887 litre of water. It’s poured equally into 2 glasses. How much per glass?
- Divide 910109 by 3. What’s the result?
C. Calculator (Division-style challenge using repeated subtraction)
- Start with 900. How many times can you subtract 100 before you reach 0?
- Start at 6,000. Subtract 1,000 until you reach 0. How many clicks?
- If you press −100 eight times, what number do you subtract in total?
- How many −10 presses needed to reduce 150 to 0?
- Use −1 repeatedly. How many presses to go from 250 to 0? Is it efficient?
