The whole, from a percentage of it

Difficulty Starter · Set szsqo3

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1
50% of a number is 30. What is the number?
2
75% of a number is 30. What is the number?
3
50% of a number is 100. What is the number?
4
80% of a number is 128. What is the number?
5
80% of a number is 96. What is the number?
6
60% of a number is 24. What is the number?
7
50% of a number is 40. What is the number?
8
10% of a number is 16. What is the number?
9
80% of a number is 160. What is the number?
10
20% of a number is 16. What is the number?
11
40% of a number is 80. What is the number?
12
40% of a number is 48. What is the number?
13
60% of a number is 96. What is the number?
14
10% of a number is 4. What is the number?
15
60% of a number is 84. What is the number?
16
60% of a number is 48. What is the number?
17
20% of a number is 16. What is the number?
18
20% of a number is 32. What is the number?
19
25% of a number is 45. What is the number?
20
60% of a number is 96. What is the number?

What is in this set

The numbers in this set run from 4 to 160.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: the percentage was taken again.
Answers are a whole number.

Drawing 240 problems from this page produced 72 different ones, 30% — 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 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.