Grade 5

The leftovers tell the story

Three division riddles where the remainder is the whole puzzle -- what is left over tells you what you started with.

1
One left over every time
Find the smallest number that is divisible by $5$ but leaves a remainder of $1$ when divided by $2$ , by $3$ , and by $4$ .
2
Rebuild the dividend
In a division problem, the divisor is the largest one-digit number and the quotient is the smallest odd three-digit number with all different digits. The remainder is the largest it could possibly be. What is the dividend?
3
A short remainder
In a division problem, the divisor is $407$ and the quotient is $128$ . The remainder is $202$ less than the divisor. What is the dividend?