Ratio and Proportion
ICSE · Class 6 · Mathematics
Flashcards for Ratio and Proportion — ICSE Class 6 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Simplify the ratio 48 : 54
Answer
Step 1: Find HCF of 48 and 54 → HCF = 6 Step 2: Divide both terms by 6 → 48 ÷ 6 = 8, 54 ÷ 6 = 9 Answer: 8 : 9…
Find the ratio of 5 kg to 800 g
Answer
Step 1: Convert both to same unit → 5 kg = 5000 g Step 2: Ratio = 5000 : 800 Step 3: Simplify by dividing by 200 → 25 : 4 Answer: 25 : 4…
The length of a field is 80 m and width is 60 m. Find the ratio of width to length.
Answer
Width : Length = 60 : 80 Simplify by dividing both by 20 → 3 : 4 Answer: 3 : 4…
Divide ₹120 between Hari and Gopi in the ratio 5 : 3. How much does each get?
Answer
Total parts = 5 + 3 = 8 Hari's share = (5/8) × 120 = ₹75 Gopi's share = (3/8) × 120 = ₹45 Answer: Hari = ₹75, Gopi = ₹45…
The sides of a triangle are in the ratio 3 : 2 : 4. If the perimeter is 27 cm, find each side.
Answer
Total parts = 3 + 2 + 4 = 9 One part = 27 ÷ 9 = 3 cm Side 1 = 3 × 3 = 9 cm Side 2 = 2 × 3 = 6 cm Side 3 = 4 × 3 = 12 cm Answer: 9 cm, 6 cm, 12 cm…
Check if ₹6 : ₹8 and 12 kg : 16 kg form a proportion.
Answer
₹6 : ₹8 = 6/8 = 3/4 12 kg : 16 kg = 12/16 = 3/4 Since both ratios are equal, they form a proportion. Answer: Yes…
The numbers 8, x, 9, and 36 are in proportion. Find x.
Answer
Since they are in proportion: 8 : x = 9 : 36 Cross-multiply: 8 × 36 = 9 × x → 288 = 9x x = 288 ÷ 9 = 32 Answer: x = 32…
The ratio of copper to zinc in an alloy is 9 : 8. If zinc weighs 9.6 kg, find copper weight.
Answer
Let copper = 9x, zinc = 8x Given: 8x = 9.6 → x = 9.6 ÷ 8 = 1.2 Copper = 9 × 1.2 = 10.8 kg Answer: 10.8 kg…
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