Unitary Method Class 6 ICSE Worksheet Free PDF Download with Answers

Class 6 Maths Worksheet — Free PDF with Answers

This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. SparkEd's Class 6 maths practice covers the full ICSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

Every worksheet is aligned to the latest ICSE/CISCE syllabus pattern.

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Unitary Method — The Most Practical Technique in Maths

The Unitary Method is a problem-solving strategy that appears in the ICSE syllabus and is one of the most useful techniques you will ever learn. The idea is simple: first find the value of one unit, then multiply to find the value of any number of units.

If $5$ pens cost Rs $75$, what is the cost of $8$ pens? Step 1: Cost of $1$ pen = $75 \div 5$ = Rs $15$. Step 2: Cost of $8$ pens = $15 \times 8$ = Rs $120$.

This two-step approach works for cost problems, speed problems, recipe scaling, time-and-work problems, and much more. ICSE exams love this topic because it tests both arithmetic and logical thinking.

What Does This Worksheet Cover?

Aligned with the ICSE Class 6 Unitary Method chapter:

- Finding value of one unit — the core technique
- Cost-rate-quantity problems — price of items
- Distance-speed-time problems — basic introduction
- Direct variation — more of one means more of the other
- Recipe and mixing problems — scaling ingredients
- Work and time — basic introduction
- Multi-step unitary method — chaining two steps

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Basic two-step unitary method, cost problems | 20 |
| Level 2 | Rate problems, distance-speed, recipe scaling, decimal values | 20 |
| Level 3 | Multi-step problems, time-and-work, comparison problems | 20 |

Sample Questions

Level 1 — Warm Up

1. If $7$ notebooks cost Rs $245$, find the cost of $12$ notebooks.
2. A car travels $180$ km in $3$ hours. How far will it travel in $5$ hours at the same speed?
3. $15$ workers can build a wall in $10$ days. How many days will $5$ workers take? (Assume same work rate.)

Level 2 — Build Confidence

1. If $2.5$ kg of rice costs Rs $175$, find the cost of $4$ kg.
2. A recipe for $4$ people uses $600$ mL of milk. How much milk is needed for $7$ people?
3. A train travels $225$ km in $3$ hours. At the same speed, how long will it take to travel $375$ km?

Level 3 — Push Yourself

1. If $12$ machines produce $360$ items in $6$ hours, how many items will $8$ machines produce in $9$ hours?
2. Shop A sells $3$ kg of apples for Rs $240$. Shop B sells $5$ kg of apples for Rs $375$. Which shop offers a better price per kg?
3. A tap fills a tank in $6$ hours. Another tap fills the same tank in $4$ hours. If both taps are opened together, what fraction of the tank is filled in $1$ hour? How long will they take together to fill the tank?

Tips for Unitary Method Problems

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Related Worksheets

Apply proportional thinking:

- Ratio & Proportion Class 6 ICSE Worksheet — ratios are the foundation of the unitary method
- Decimals Class 6 ICSE Worksheet — decimal arithmetic in rate problems
- Fractions Class 6 ICSE Worksheet — fractional quantities in unitary method problems

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