Maths Quiz - Level 5-6 Numbers - Ratios (Answers)
In KS3 Maths, comparing numbers comes in many forms – bars in a graph, sectors in a pie chart, or figures in a table. One of the easiest and most common ways is using ratios.
Imagine Person A has £50 and Person B has £40. How much more does A have? Ratios help us compare. A has £10 more, but that doesn't really show the comparison well. Ratios, like 50:40, are handy. Since 50 and 40 share a factor of 10, it simplifies to 5:4, the simplest form.
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Ratios make comparing quantities easy. Take this quiz to see how well you handle ratios. Take your time, read each question carefully, and good luck with your KS3 Maths adventure!
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You can find more about this topic by visiting BBC Bitesize - Ratio
The common factor is 50 cm. There are 3 x 50 cm in 150 cm and there are 8 x 50 cm in 4 m
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A ratio such as 3:4 means 3/7 of one thing and 4/7 of another thing. The 7 comes from adding 3 and 4. The ratio 3:4 can also be written as a fraction 3/4 for calculations. In this case 900/x = 3/4 where x is the big bag of flour: so x = (4 x 900)/3. Use this method when dealing with ratios
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The ratio for a 1cm = 8km scale is 1 : 800,000!
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The quantities in the ratio MUST be in the same units: in this case change the £8 to 800p
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Remember the two numbers must total £85
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25 is a good figure to work with here - just divide £262.50 by 3 to find what 25 shares would cost, and go from there
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3 + 5 = 8 so first divide 240 litres by 8 then multiply by both 3 and 5
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60 ml / 3 = 20 ml and 7 x 20 ml = 140 ml
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It may be easier to first convert 12kg into 12,000g
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15 : 22 is roughly 2 : 3. £7.80 ÷ 2 = £3.90 so you know your answer will be approximately £3.90 x 3 = £11.70
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