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Class 5 · Mathematics
5 ideas in Class 5 Mathematics, explained in plain words, with games and quizzes to practise.
Division Facts from Multiplication
Part of: Division and Multiplication Facts
Every multiplication fact can be turned into two division facts. If 7 × 9 = 63, then 63 ÷ 7 = 9 and 63 ÷ 9 = 7. Division is the reverse of multiplication, so when you know one multiplication fact, you know two division facts for free.
Why it matters. Understanding how division and multiplication connect helps children see that these operations are related. It makes mental math faster because if you know your times tables, you also know the division facts.
Try it in two minutes
- Say a multiplication fact aloud, like 5 × 6 = 30.
- Ask your child to write two division facts from it: 30 ÷ 5 = 6 and 30 ÷ 6 = 5.
- Try with three different multiplication facts and write all the division facts.
Try at home. Pick any multiplication table (like 7 times) and write all the division facts that come from it.
Division Patterns with Tens and Hundreds
Part of: Patterns in Division and Place Value
Dividing by 10 removes one zero from the end (or moves all digits one place to the right). Dividing by 100 removes two zeros (or moves all digits two places to the right). For example, 3400 ÷ 100 = 34, and 450 ÷ 10 = 45.
Why it matters. Seeing the pattern helps children divide large numbers quickly without long division. It shows how place value is the same in division as in multiplication.
Try it in two minutes
- Write 50, 500, 5000 vertically. Divide each by 10 and write the answers.
- Ask: what is the pattern? Did zeros disappear?
- Try with 100, 1000, 10000. Divide by 100 and look for the pattern.
Try at home. Give a 4-digit number like 2340. Ask your child to find 2340 ÷ 10 without calculating—just by reading the place value.
Breaking Numbers Apart to Divide
Part of: Mental Strategies for Division
Instead of long division, split the number into convenient parts—often multiples of 10, 100 or easy groups. For example, to divide 1248 by 6, split it into 1200 and 48, divide each part separately (1200 ÷ 6 = 200 and 48 ÷ 6 = 8), then add the answers (200 + 8 = 208).
Why it matters. This method helps children understand what division really does. It is also faster than long division for children who have not yet memorized all the steps.
Try it in two minutes
- Write 1600 ÷ 8. Ask: can you split 1600 into parts that 8 divides evenly?
- Guide: 1600 = 1200 + 400. Now divide 1200 ÷ 8 = 150 and 400 ÷ 8 = 50.
- Add: 150 + 50 = 200. The answer is 200.
Try at home. Give your child 1440 ÷ 6. Ask them to split 1440 into two parts and divide each part, then add.
Remainders and the Dividend Formula
Part of: Division with Remainders
When a number does not divide evenly, there is a remainder left over. The formula N = D × Q + R shows the relationship: the dividend (N) equals the divisor (D) times the quotient (Q), plus the remainder (R). For example, 23 ÷ 5 = 4 R 3, and we can check: 23 = 5 × 4 + 3 = 20 + 3 = 23.
Why it matters. Understanding remainders helps children handle real situations where things do not divide evenly—like splitting money, sharing items or packing boxes. The formula is a way to double-check their work.
Try it in two minutes
- Divide 17 by 5. The answer is 3 R 2 (because 5 × 3 = 15, and 17 − 15 = 2).
- Now use the formula: 17 = 5 × 3 + 2. Check: 15 + 2 = 17. Correct!
- Try with 26 ÷ 4, then check with the formula.
Try at home. Give your child a division with a remainder, like 31 ÷ 6. Ask them to find the quotient and remainder, then use the formula to check.
Using Division to Solve Word Problems
Part of: Division in Real Problems
Division helps answer questions like 'If 240 books are shared equally among 8 children, how many books does each get?' or 'If oranges cost ₹12 each and I have ₹180, how many can I buy?' The process is the same: identify what we are dividing, by what, and what the answer means in the situation.
Why it matters. Children see that division is not just a number operation—it solves real problems. It helps them make sense of remainders too: if 23 children need buses for a trip and each bus holds 10 children, we need 3 buses (not 2.3).
Try it in two minutes
- Say: 'A teacher has 180 pencils to share equally among 6 groups. How many pencils per group?'
- Ask: 'Do we divide 180 by 6 or multiply?'
- Calculate: 180 ÷ 6 = 30. Each group gets 30 pencils.
Try at home. Ask your child: 'If a basket has 156 apples and we pack them into bags of 12, how many bags do we need?' Guide them to divide 156 ÷ 12.
What your child will practise
- Breaking Numbers Apart to Divide: Jungle Quick Fire (Quick Fire)
- Division Facts from Multiplication: Desert Puzzle (Clue Puzzle)
- Division Patterns with Tens and Hundreds: Desert Quest (Flip and Match)
- Remainders and the Dividend Formula: Desert Quick Fire (Quick Fire)
- Using Division to Solve Word Problems: Treasure Quest (Collect the Answer)
- Quiz: Breaking Numbers Apart to Divide (8 questions)
- Quiz: Division Facts from Multiplication (8 questions)
- Quiz: Division Patterns with Tens and Hundreds (8 questions)
- Quiz: Remainders and the Dividend Formula (8 questions)