Another Peek Beyond the Point
CBSE · Class 7 · Mathematics
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A shopkeeper sells notebooks at a wholesale price of ₹23.6 per piece and each notebook is sold for ₹30. If 50 notebooks are sold, what is the total profit?
A car travels 126 km in 2.5 hours. What is its average speed in km per hour?
A teacher places textbooks that are 2.5 cm thick on a 160 cm long shelf. How many textbooks can fit, and how much space is left?
A 4 m long wooden block is cut into 5 equal pieces. What is the length of each piece in metres, and how many centimetres is that?
Sample Questions
A car covers 234.45 km using 12.6 litres of petrol. What is the distance travelled per litre?
Show answer
18.6 km per litre
Step 1: Distance per litre = 234.45 ÷ 12.6. Step 2: Multiply both by 10: 2344.5 ÷ 126. Step 3: 2344.5 ÷ 126 = 18.6. So, the distance travelled per litre is 18.6 km per litre.
A shopkeeper has 9.5 kg of sugar and divides it equally into 4 bags. What is the weight of each bag?
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2.375 kg
Step 1: Divide 9.5 by 4. Step 2: 9.5 = 95 tenths. Step 3: 95 tenths ÷ 4 = 23 tenths and 3 tenths remain. Step 4: Regroup the remaining 3 tenths as 30 hundredths. Step 5: 30 hundredths ÷ 4 = 7 hundredths and 2 hundredths remain. Step 6: Regroup 2 hundredths as 20 thousandths. Step 7: 20 thousandths ÷ 4 = 5 thousandths. So, each bag weighs 2.375 kg.
A ribbon of 29 m is shared equally among 4 friends. How much ribbon does each friend get?
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7.25 m
Step 1: Divide 29 by 4. Step 2: 4 goes into 29 seven times, remainder 1. Step 3: Regroup 1 unit as 10 tenths. Step 4: 10 tenths ÷ 4 = 2 tenths, remainder 2 tenths. Step 5: Regroup 2 tenths as 20 hundredths. Step 6: 20 hundredths ÷ 4 = 5 hundredths. So, each friend gets 7.25 m.
A total of 1325 is divided by 4 using place value. What is the quotient?
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331.25
Step 1: 1324 ÷ 4 = 331, so 1325 ÷ 4 is 1 more than 1324 ÷ 4. Step 2: Divide 1325 by 4 using place value. Step 3: After getting 331, 1 unit remains. Step 4: Regroup 1 unit as 10 tenths. Step 5: 10 tenths ÷ 4 = 2 tenths, remainder 2 tenths. Step 6: Regroup 2 tenths as 20 hundredths. Step 7: 20 hundredths ÷ 4 = 5 hundredths. So, the quotient is 331.25.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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