You have made it to the third quiz in our Medium level Eleven Plus maths quizzes on Ratios. Give yourself a pat on the back! If you have already played the first two quizzes, then you will know that ratios are one way of comparing different proportions. They are very similar to fractions, but not exactly the same.
Imagine that you have 4 oranges and 6 apples. You can represent this as a fraction like so: 2⁄5 of the fruit are oranges, and 3⁄5 are apples.
You can represent the same information as a ratio like this: the ratio of oranges to apples is 2:3. Can you see the similarity? 2⁄5 and 3⁄5 = 2:5
Now for the quiz. Make sure you read the questions carefully – there’s at least one in there which might catch out the unwary!
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
||||||||||||||||||||||||
|
|
|
14:35 = 2:5 (dividing by 7)
|
||||||||||||||||||||||||
For every 6 red tops, Melanie has 5 blue ones.
18 ÷ 6 = 3 3 x 5 = 15 Melanie has 15 blue tops |
The ratio 14:4 = 7:2 which is NOT the same as 2:7. All the others form ratios that can be reduced to 2:7
|
||||||||||||||||||||||||
If 16?24 of the animals are cats, then 8?24 are dogs (24 - 16 = 8)
These can be simplified to 2?3 cats and 1?3 dogs by dividing by 8 (16 ÷ 8 = 2, and 8 ÷ 8 = 1) So, the ratio of cats to dogs is 2:1, BUT we were asked for the ratio of dogs to cats, so we must reverse the ratio to 1:2 Watch out for tricks like this! |
45 ÷ 9 = 5, so we must multiply 13 by 5 to find the number of bananas.
5 x 13 = 65 |
||||||||||||||||||||||||
8 is greater than 7 and it represents the number of string instruments. There are clearly more string instruments than wind instruments
|
2 + 7 = 9 so the fraction will be in ninths. You DON'T have to know what the total number of items is in order to find the fractional amounts of each type of item
|
||||||||||||||||||||||||
2 + 5 = 7 ? the fractional parts are 2?7 x 63 = 18 vegetarian meals, and 5?7 x 63 = 45 non-vegetarian meals.
Check that 18:45 = 2:5 by dividing by 9. Your answer MUST preserve (keep) the same ratio |
1.5:8 = 3:16 (multiplying by 2)
|
17:14 and 5:1 both represent a higher number of fiction books, so they are wrong.
10:11 is the only ratio which represents more non-fiction than fiction, so it must be the right answer