Flashcards on Ratios and Direct Proportion
Master Ratios and Direct Proportion: A Student's Guide
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Ratios and Proportions
10 cards
Card 1
Question: Convert 4 m to centimeters for comparing with 160 cm. What is 4 m in cm?
Answer: 400 cm
Card 2
Question: Give the simplest form of the ratio between 160 cm and 4 m.
Answer: 2:5
Card 3
Question: Which of these is NOT the simplest form of the ratio 160 cm : 4 m — 16:40, 4:10, 2:5, or 1:2½?
Answer: 16:40 and 4:10 are not simplest; 2:5 is correct; 1:2½ can't use fractions.
Card 4
Question: Andrews paid $7.50 and Marc paid $3.50 for 48 chocolates. What ratio of money did Andrews to Marc pay?
Answer: Andrews : Marc = 7.50 : 3.50 (which simplifies to 15 : 7 if needed).
Card 5
Question: Using the payment ratio Andrews:Marc = 7.50:3.50, how should 48 chocolates be split between them proportionally?
Answer: Split in the ratio 7.5:3.5 = 15:7. Total parts = 22. Andrews gets 15/22×48 = 32.727... but using whole chocolates, Andrews ≈ 33 and Marc ≈ 15 (based o
Card 6
Question: If two pinks have red:white ratios Perfect Pink 3:4 and Rose Pink 2:3, what fraction of each color is red for Perfect Pink?
Answer: Perfect Pink red fraction = 3/(3+4) = 3/7
Card 7
Question: What is the red fraction for Rose Pink with ratio 2:3?
Answer: Rose Pink red fraction = 2/(2+3) = 2/5
Card 8
Question: Which pink (Perfect or Rose) is darker based on red fraction, and why?
Answer: Perfect Pink is darker because it contains a larger fraction of red (3/7 ≈ 0.4286) than Rose Pink (2/5 = 0.4).
Card 9
Question: When comparing mixtures with different denominators, how were Perfect Pink and Rose Pink expressed with a common denominator 35?
Answer: Perfect Pink: 3/7 = 15/35. Rose Pink: 2/5 = 14/35.
Card 10
Question: Given angles in the ratio 3:2:4:6 that sum to 360°, what is the size of each angle?
Answer: Total parts = 3+2+4+6 = 15. One part = 360 ÷ 15 = 24°. Angles: 3×24 = 72°, 2×24 = 48°, 4×24 = 96°, 6×24 = 144°.