Sharing in a three-part ratio

Difficulty Starter · Set wgolr3

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1
20 counters are shared in the ratio 2 : 2 : 1. How many does the largest share get?
2
18 counters are shared in the ratio 3 : 1 : 2. How many does the largest share get?
3
28 counters are shared in the ratio 2 : 3 : 2. How many does the largest share get?
4
15 counters are shared in the ratio 1 : 2 : 2. How many does the largest share get?
5
40 counters are shared in the ratio 4 : 3 : 3. How many does the largest share get?
6
12 counters are shared in the ratio 1 : 1 : 2. How many does the largest share get?
7
45 counters are shared in the ratio 2 : 4 : 3. How many does the largest share get?
8
26 counters are shared in the ratio 4 : 4 : 5. How many does the largest share get?
9
40 counters are shared in the ratio 2 : 4 : 4. How many does the largest share get?
10
60 counters are shared in the ratio 3 : 3 : 4. How many does the largest share get?
11
18 counters are shared in the ratio 3 : 1 : 2. How many does the largest share get?
12
35 counters are shared in the ratio 2 : 1 : 2. How many does the largest share get?
13
48 counters are shared in the ratio 4 : 1 : 1. How many does the largest share get?
14
56 counters are shared in the ratio 3 : 1 : 3. How many does the largest share get?
15
30 counters are shared in the ratio 4 : 3 : 3. How many does the largest share get?
16
35 counters are shared in the ratio 3 : 2 : 2. How many does the largest share get?
17
16 counters are shared in the ratio 1 : 4 : 3. How many does the largest share get?
18
60 counters are shared in the ratio 2 : 4 : 4. How many does the largest share get?
19
49 counters are shared in the ratio 2 : 2 : 3. How many does the largest share get?
20
32 counters are shared in the ratio 1 : 3 : 4. How many does the largest share get?

What is in this set

The numbers in this set run from 1 to 88.
Every problem in it will split into three shares.
A careful solution takes 3 written steps on average.
The mistake this set invites most often, in 100% of the problems: that is one part.
Answers are a whole number.

Drawing 240 problems from this page produced 176 different ones, 73% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 7 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.

Next to this

Filling in an equivalent ratio

Numbers 2–27; every one will scale a whole ratio up.

Comparing two rates

Numbers 2–19.

All of ratio and proportion

12 skills in this topic, 36 sets between them.

Printing it

The printed sheet carries no menus and no advertising, and the answer key is on its own page.