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Hard Riddles for Kids

Tricky riddles and brain teasers for older kids, with two hints, the answer and a short explanation for each.

One at a time

Two fathers and two sons share three sandwiches, one sandwich each. How can there be only three people?

Good to know: One person can be a father and a son at the same time, and the three people are from one family.

Hint 1

Can one person be counted twice: once as a father and once as a son?

Hint 2 (more help)

The same man can be a father to his child and a son to his own father.

Reveal the answer

They are a grandfather, his son, and his grandson.

The grandfather is a father. His son is a father too, because he has a son of his own, and he is also a son. The grandson is a son. That makes two fathers and two sons, but only three people, so three sandwiches are enough.

Tricky riddles

Two fathers and two sons share three sandwiches, one sandwich each. How can there be only three people?

Good to know: One person can be a father and a son at the same time, and the three people are from one family.

Hint 1

Can one person be counted twice: once as a father and once as a son?

Hint 2 (more help)

The same man can be a father to his child and a son to his own father.

Reveal the answer

They are a grandfather, his son, and his grandson.

The grandfather is a father. His son is a father too, because he has a son of his own, and he is also a son. The grandson is a son. That makes two fathers and two sons, but only three people, so three sandwiches are enough.

In a race, you pass the runner who is in second place. What place are you in now?

Good to know: You pass only that one runner, and nobody passes you at the same time.

Hint 1

Picture the race: where must you be just before you pass that runner?

Hint 2 (more help)

When you pass someone, you take their spot, and they drop back behind you.

Reveal the answer

Second place.

To pass the runner in second place, you must be right behind them, in third place. When you pass, you take their spot: now you are second, and they are third. The runner in first place is still ahead of you, so the quick answer "first" is not right.

Five apples are on the table. You take two. How many apples did you take?

Good to know: The question asks how many apples you took, not how many are left on the table.

Hint 1

Read the last question very carefully.

Hint 2 (more help)

The question asks about the apples in your hands, not the ones on the table.

Reveal the answer

Two.

Many people answer three, because three apples are left on the table. But the question asks how many apples you took, and you took two.

A ball is in one of three boxes: red, blue, or green. It is not in red or green. Where is it?

Good to know: There is exactly one ball, and it is certainly in one of the three boxes.

Hint 1

Cross out each box the ball cannot be in.

Hint 2 (more help)

Two boxes are crossed out. Which one is left?

Reveal the answer

The blue box.

The ball must be in one of the three boxes. It is not in the red box, and it is not in the green box, so the only box left is the blue one.

In a pretend game, every red block is a cube, and no cube can roll. Can any red block roll in that game?

Good to know: Inside the pretend game, both rules are always true, even if real blocks could tumble. We use only the rules, not real life.

Hint 1

Use only the two rules of the game, even if real blocks act differently.

Hint 2 (more help)

Is a red block a cube? Then what does the second rule say about it?

Reveal the answer

No.

Every red block is a cube, and no cube can roll. So every red block is a cube that cannot roll. In real life you might tip a cube over, but inside this pretend game the rules are always true.

Ali is ahead of Bo in a three-person line. Bo is ahead of Cam. Who is in the middle?

Good to know: The three people stand in one straight line, and "ahead" means closer to the front.

Hint 1

Draw three circles in a row and write a name in each one.

Hint 2 (more help)

Ali is ahead of Bo, and Bo is ahead of Cam. Who is at the very front?

Reveal the answer

Bo.

Ali is ahead of Bo, and Bo is ahead of Cam. So from the front, the line goes Ali, Bo, Cam, and Bo is in the middle.

Each number after the first two is the sum of the two before it: 1, 1, 2, 3, 5, 8. What comes next?

Hint 1

Check the rule on the start of the list: 1 + 1 = 2, and 1 + 2 = 3.

Hint 2 (more help)

Use the last two numbers in the list.

Reveal the answer

13.

Each new number is the two before it added together: 1 + 1 = 2, 1 + 2 = 3, 2 + 3 = 5, 3 + 5 = 8, and 5 + 8 = 13. This is called the Fibonacci sequence. Its numbers often show up in nature, like the spirals of seeds in a sunflower.

Today is Monday. What day will it be three days from today?

Good to know: "Three days from today" means you start counting with tomorrow.

Hint 1

Count forward one day at a time, starting with tomorrow.

Hint 2 (more help)

Tomorrow is Tuesday. Keep counting two more days.

Reveal the answer

Thursday.

Count three days forward from Monday: Tuesday is one, Wednesday is two, and Thursday is three.

I am a whole number greater than 20 and less than 30. I divide exactly by both 3 and 4. What am I?

Hint 1

A number that divides exactly by 3 and by 4 also divides exactly by 12.

Hint 2 (more help)

Count by 12s: 12, then the next one.

Reveal the answer

24.

Numbers that divide exactly by both 3 and 4 are the multiples of 12: 12, 24, 36 and so on. The only one between 20 and 30 is 24.

I am a solid shape with exactly six faces, all squares. What am I?

Hint 1

Many building blocks and game dice have this shape.

Hint 2 (more help)

Ice in a cold drink often comes in this shape.

Reveal the answer

A cube.

A cube has six flat faces, and every face is a square of the same size. A cube also has 12 edges and 8 corners. A box whose faces are not all squares is called a rectangular prism.

Challenge riddles

With one straight cut, snip a small triangle off one corner of a square. The cut crosses the two sides that meet at that corner. How many corners does the bigger piece have now?

Good to know: The cut crosses each of the two sides partway along, not through another corner, and only the bigger piece's corners are counted.

Hint 1

Draw a square on paper and try it with one pencil line.

Hint 2 (more help)

Count the corner the cut takes away, then the new corners it makes where it crosses each side.

Reveal the answer

Five.

A square has 4 corners. The cut takes away 1 corner, leaving 3. But it makes 2 new corners, one where it crosses each side. 3 + 2 = 5, so the bigger piece is a pentagon, a shape with five corners.

A snail climbs 3 meters each day and slips 2 meters each night. Starting at the bottom, on which day does it first reach the top of a 10-meter wall?

Good to know: The snail starts at the bottom in the morning, climbs 3 meters every day and slips 2 meters every night. Once it reaches the top, it stops and does not slip.

Hint 1

Each day and night together, the snail ends up only 1 meter higher. But watch the very last day.

Hint 2 (more help)

On its last day, the snail can reach the top before night comes, so it never slips back.

Reveal the answer

Day eight. It reaches the top that day, so it never slips back down.

After each day and night, the snail is 1 meter higher: at 1 meter after the first night, 2 meters after the second, and 7 meters after the seventh. On day 8 it climbs 3 meters, from 7 to 10, and reaches the top before night. The quick answer, day 10, forgets that last big climb.

Two US coins total 30 cents. One of them is not a nickel. Which coins are they?

Good to know: Only real US coins count. "One of them is not a nickel" is true of the quarter; it does not mean the other coin cannot be a nickel.

Hint 1

List the coins that could add up to exactly 30 cents with just two of them.

Hint 2 (more help)

The riddle says one coin is not a nickel. It does not say that neither coin is a nickel.

Reveal the answer

A quarter and a nickel. The quarter is the one that is not a nickel.

The only two US coins that make 30 cents are a quarter (25 cents) and a nickel (5 cents). The riddle says one of them is not a nickel, and that is true: the quarter is not a nickel. The other coin is.

A bat and a ball cost $1.10 altogether. The bat costs $1 more than the ball. What does the ball cost?

Good to know: The bat and the ball are the only two things, and the prices are in whole cents.

Hint 1

Test your first guess: add the ball's price and the bat's price. Is the total $1.10, and is the bat exactly $1 more?

Hint 2 (more help)

If the ball were 10 cents, the bat would be $1.10, and together they would be $1.20. Try a smaller amount.

Reveal the answer

Five cents. The bat costs $1.05.

If the ball costs 5 cents, the bat costs $1 more: $1.05. Together, $1.05 + $0.05 = $1.10. The quick answer, 10 cents, does not work: the bat would cost $1.10, and the total would be $1.20.

A farmer must take a fox, a chicken, and grain across a river. The boat carries the farmer and one item. Without the farmer, the fox cannot stay with the chicken, or the chicken with the grain. How can everything cross?

Good to know: Only the farmer can row the boat, and it holds the farmer plus at most one item. Trouble happens only on a bank the farmer has left, never during a crossing.

Hint 1

Which one is the troublemaker that cannot be left with either of the others?

Hint 2 (more help)

The boat can carry something back to the start, too.

Reveal the answer

Take the chicken across. Go back alone. Take the fox across. Bring the chicken back. Take the grain across. Go back alone. Take the chicken across.

The chicken is the problem: it cannot be left with the fox or with the grain, so it crosses first. Then the farmer takes the fox over, brings the chicken back, swaps it for the grain, and fetches the chicken last. Taking the grain before the fox works too. Seven trips is the fewest possible.

Anna, Beth, and Cara each have a different pet: cat, dog, or fish. Anna has neither cat nor dog. Beth does not have the dog. Who has each pet?

Good to know: Each girl has exactly one pet, and no two girls have the same kind of pet.

Hint 1

Start with the person the riddle tells you the most about.

Hint 2 (more help)

Anna has neither the cat nor the dog, so only one pet is left for her.

Reveal the answer

Anna has the fish, Beth has the cat, and Cara has the dog.

Anna has neither the cat nor the dog, so she has the fish. Beth does not have the dog, and the fish is taken, so Beth has the cat. That leaves the dog for Cara.

Eight balls look identical, but one is heavier. Using a balance scale, how can you always find it in no more than two weighings?

Good to know: Exactly one ball is heavier, and the other seven weigh the same. The balance scale only shows which side is heavier, or that the two sides are equal.

Hint 1

Think about splitting them into more than two groups.

Hint 2 (more help)

Put 3 on each side for the first weighing. What can each result tell you?

Reveal the answer

Weigh three against three. If they balance, weigh the last two against each other. If one side is heavier, take two balls from that side and weigh one against the other; if they balance, the third ball from that side is the heavy one.

Weighing 3 against 3 splits the eight balls into three groups: one pan, the other pan, and the 2 set aside. If the scale balances, the heavy ball is one of the 2 set aside, and one more weighing finds it. If one side is heavier, the heavy ball is one of those 3: weigh 1 against 1, and if they balance, it is the third. Either way, two weighings are enough.

In a three-digit number, the tens digit is two more than the ones digit. The hundreds digit is one less than the tens digit. The digits add to 12. What is the number?

Hint 1

Call the ones digit a mystery number, then write the other two digits using it.

Hint 2 (more help)

The hundreds digit is one more than the ones digit. Try ones digits 1, 2, 3 and add up all three digits each time.

Reveal the answer

453.

If the ones digit is 3, the tens digit is 5 (two more) and the hundreds digit is 4 (one less than 5). 4 + 5 + 3 = 12, so the number is 453. Other choices miss: a ones digit of 2 gives 342, whose digits add up to only 9.

A drawer has three red socks and three blue socks. Without looking, how many socks must you take out to be sure of getting two of the same color?

Good to know: You take socks out one at a time without looking, and any two socks of the same color count as a pair.

Hint 1

Think about the unluckiest way the socks could come out.

Hint 2 (more help)

Your first two socks might be one red and one blue. What about the next sock?

Reveal the answer

Three.

The first two socks might not match: one red and one blue. The third sock has to be red or blue, so it always matches one of them. Three socks are always enough, and two are not.

A pen holds only chickens and rabbits. There are 20 heads and 56 legs. How many rabbits are there?

Good to know: Every chicken has 2 legs, every rabbit has 4 legs, and each animal has one head.

Hint 1

Every animal has one head, so there are 20 animals in all.

Hint 2 (more help)

If all 20 were chickens, there would be 40 legs. Each rabbit has 2 more legs than a chicken.

Reveal the answer

Eight rabbits and twelve chickens.

Pretend all 20 animals are chickens: that makes 40 legs. There are 56 legs, which is 16 more. Each rabbit has 2 more legs than a chicken, so 16 ÷ 2 = 8 rabbits. The other 12 are chickens. Check: 8 × 4 + 12 × 2 = 32 + 24 = 56 legs.

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