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Test: Ratio and Proportion - Year 9 MCQ


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10 Questions MCQ Test Year 9 Mathematics (Cambridge) - Test: Ratio and Proportion

Test: Ratio and Proportion for Year 9 2024 is part of Year 9 Mathematics (Cambridge) preparation. The Test: Ratio and Proportion questions and answers have been prepared according to the Year 9 exam syllabus.The Test: Ratio and Proportion MCQs are made for Year 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Ratio and Proportion below.
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Test: Ratio and Proportion - Question 1

What is 150 cm : 4 m in its simplest form?

Detailed Solution for Test: Ratio and Proportion - Question 1
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
Test: Ratio and Proportion - Question 2

What is £8 : 420p in its simplest form?

Detailed Solution for Test: Ratio and Proportion - Question 2
The quantities in the ratio MUST be in the same units: in this case change the £8 to 800p
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Test: Ratio and Proportion - Question 3

The ratio of two bags of flour is 3 : 4. If the smaller bag holds 900 g of flour, how much does the larger bag hold?

Detailed Solution for Test: Ratio and Proportion - Question 3
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
Test: Ratio and Proportion - Question 4
A road map is drawn to a scale of 1 cm = 8 km. A distance of 6.5 cm on the map represents how many kilometres of the road?
Detailed Solution for Test: Ratio and Proportion - Question 4
The ratio for a 1cm = 8km scale is 1 : 800,000!
Test: Ratio and Proportion - Question 5
Divide 240 litres in the ratio 3 : 5.
Detailed Solution for Test: Ratio and Proportion - Question 5
3 + 5 = 8 so first divide 240 litres by 8 then multiply by both 3 and 5
Test: Ratio and Proportion - Question 6
What is 12 kg : 4,800 g in its simplest form?
Detailed Solution for Test: Ratio and Proportion - Question 6
It may be easier to first convert 12kg into 12,000g
Test: Ratio and Proportion - Question 7
A drink is made from orange juice and lemonade in the ratio 3 : 7. How much lemonade is needed if 60 ml of orange juice is used?
Detailed Solution for Test: Ratio and Proportion - Question 7
60 ml / 3 = 20 ml and 7 x 20 ml = 140 ml
Test: Ratio and Proportion - Question 8

A bag contains 8 green marbles, 12 yellow marbles, and 16 red marbles. What is the ratio of green marbles to the total number of marbles?

Detailed Solution for Test: Ratio and Proportion - Question 8

The total number of marbles is 8 (green) + 12 (yellow) + 16 (red) = 36 marbles. The ratio of green marbles to the total number of marbles is 8 : 36. Simplifying this ratio by dividing both terms by their greatest common divisor, which is 8, we get 1 : 4.

Test: Ratio and Proportion - Question 9
Divide £85 in the ratio 1 : 4.
Detailed Solution for Test: Ratio and Proportion - Question 9
Remember the two numbers must total £85
Test: Ratio and Proportion - Question 10

If a car travels 240 miles on 8 gallons of fuel, how far can it travel on 14 gallons of fuel?

Detailed Solution for Test: Ratio and Proportion - Question 10

First, find the distance per gallon by dividing the total distance by the number of gallons:
Distance per gallon = 240/8 = 30 miles per gallon.
Then, multiply the distance per gallon by the number of gallons:
Total distance = 30 × 14 = 420 miles.

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