Challenges

Problems worth getting stuck on

A small shelf of curious problems, gathered for every family here. Pick one, sit down together, and if it bites back, June can work through it with your child.

9 of 21 challenges ·

Grade 3

Six ways to sit in a row

Rebuild the missing number, seat three friends in every possible order, and spot the one story that is not really four fours. For a child learning to list every case and read past the numbers.

3 problems

Every edge counts

A wizard's stars hide edges in their valleys, and a blank inside a sum turns addition around. For a child practicing careful counting and working backwards.

2 problems

Digit riddles

The answer is a number you have to build, not compute -- count the tens, count the digits, then figure out where the 2 belongs.

3 problems

Grade 5

The decimal point takes a walk

Shift the decimal point and a number changes by a surprising amount -- the trick is counting the nines hiding in the difference.

3 problems

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.

3 problems

Six people, six days

Five people earn five thousand in five days, so six people in six days earn... six thousand, right?

1 problem

A thirtieth in three parts

Break 1/30 into three unit fractions, all with different denominators. There is more than one way -- checking a friend's answer is half the fun.

1 problem

The convenient sum

Nine improper fractions, one neat trick -- every term hides a whole one, and what is left folds up on itself.

1 problem

Grade 6

Percent up, percent down

Grow a number by 60% and it does not take 60% to bring it home -- the way back is a different rate. For a child learning to ask: a percent of what?

3 problems