The fewest coins that make an amount

Difficulty Stretch · Set fwv7bw

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1
What is the fewest number of coins that makes 163¢, using quarters, dimes, nickels and pennies?
2
What is the fewest number of coins that makes 76¢, using quarters, dimes, nickels and pennies?
3
What is the fewest number of coins that makes 181¢, using quarters, dimes, nickels and pennies?
4
What is the fewest number of coins that makes 234¢, using quarters, dimes, nickels and pennies?
5
What is the fewest number of coins that makes 140¢, using quarters, dimes, nickels and pennies?
6
What is the fewest number of coins that makes 185¢, using quarters, dimes, nickels and pennies?
7
What is the fewest number of coins that makes 247¢, using quarters, dimes, nickels and pennies?
8
What is the fewest number of coins that makes 80¢, using quarters, dimes, nickels and pennies?
9
What is the fewest number of coins that makes 287¢, using quarters, dimes, nickels and pennies?
10
What is the fewest number of coins that makes 155¢, using quarters, dimes, nickels and pennies?
11
What is the fewest number of coins that makes 182¢, using quarters, dimes, nickels and pennies?
12
What is the fewest number of coins that makes 281¢, using quarters, dimes, nickels and pennies?
13
What is the fewest number of coins that makes 62¢, using quarters, dimes, nickels and pennies?
14
What is the fewest number of coins that makes 256¢, using quarters, dimes, nickels and pennies?
15
What is the fewest number of coins that makes 172¢, using quarters, dimes, nickels and pennies?
16
What is the fewest number of coins that makes 147¢, using quarters, dimes, nickels and pennies?
17
What is the fewest number of coins that makes 154¢, using quarters, dimes, nickels and pennies?
18
What is the fewest number of coins that makes 280¢, using quarters, dimes, nickels and pennies?
19
What is the fewest number of coins that makes 91¢, using quarters, dimes, nickels and pennies?
20
What is the fewest number of coins that makes 193¢, using quarters, dimes, nickels and pennies?

What is in this set

The numbers in this set run from 55 to 298.
Every problem in it will come to more than a quarter, so the largest coin is in play.
A careful solution takes 4 written steps on average.
The mistake this set invites most often, in 100% of the problems: the quarters were never used; always take the largest coin that still fits before moving down.
Answers are a whole number.

Drawing 240 problems from this page produced 154 different ones, 64% — 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 4 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.