A ratio as a fraction of the whole

Difficulty Standard · Set 2u64kt

Fill in what you can and press Check. Nothing you type is sent anywhere.

1
Paint is mixed 1 : 3, white to blue. What fraction of the mixture is white?
2
Paint is mixed 5 : 2, white to blue. What fraction of the mixture is white?
3
Paint is mixed 5 : 4, white to blue. What fraction of the mixture is white?
4
Paint is mixed 5 : 6, white to blue. What fraction of the mixture is white?
5
Paint is mixed 3 : 7, white to blue. What fraction of the mixture is white?
6
Paint is mixed 4 : 8, white to blue. What fraction of the mixture is white?
7
Paint is mixed 3 : 8, white to blue. What fraction of the mixture is white?
8
Paint is mixed 5 : 7, white to blue. What fraction of the mixture is white?
9
Paint is mixed 8 : 5, white to blue. What fraction of the mixture is white?
10
Paint is mixed 2 : 6, white to blue. What fraction of the mixture is white?
11
Paint is mixed 5 : 9, white to blue. What fraction of the mixture is white?
12
Paint is mixed 8 : 8, white to blue. What fraction of the mixture is white?
13
Paint is mixed 6 : 7, white to blue. What fraction of the mixture is white?
14
Paint is mixed 3 : 6, white to blue. What fraction of the mixture is white?
15
Paint is mixed 3 : 3, white to blue. What fraction of the mixture is white?
16
Paint is mixed 4 : 8, white to blue. What fraction of the mixture is white?
17
Paint is mixed 4 : 2, white to blue. What fraction of the mixture is white?
18
Paint is mixed 9 : 9, white to blue. What fraction of the mixture is white?
19
Paint is mixed 1 : 6, white to blue. What fraction of the mixture is white?
20
Paint is mixed 7 : 2, white to blue. What fraction of the mixture is white?

What is in this set

The numbers in this set run from 1 to 9.
Every problem in it will ask for a share of the whole rather than of the other part.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: 3 is the other part, not the whole.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 76 different ones, 32% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

The same skill, harder or easier

We would put this in front of a grade 6 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.