50+ Mathematical Puzzles for Kids

Maths puzzles turn practice into play. They encourage children to stop, think, try different ideas and enjoy the feeling of getting an answer right. This can help build confidence with numbers in a fun way.

Below are 55 maths puzzles, riddles and brain teasers for kids, grouped by age and difficulty. Each one includes an answer and a short explanation.

How to use this list: Try two or three puzzles a day. Read them at breakfast, in the car or as a five-minute warm-up before class. Give children some time to work things out before sharing the answer. The thinking is where the learning happens.

Why maths puzzles work:

• Build problem-solving skills: Children learn to find their own way to an answer.
• Improve number understanding: They practise mental maths and learn simple number patterns.
• Build persistence: They learn that getting an answer wrong is part of learning.
• Make maths fun: Children can solve puzzles with friends, siblings and parents.

Easy maths puzzles for kids (ages 5–7)

These puzzles use counting, simple addition and subtraction, and everyday reasoning. They are ideal for kindergarten through second grade.

1. I am the number of legs on a spider minus the number of legs on a dog. What number am I?

Answer: 4. A spider has 8 legs and a dog has 4, so 8 − 4 = 4.

2. Riya has 5 balloons. Two float away, then her grandma gives her 3 more. How many balloons does Riya have now?

Answer: 6. First, 5 − 2 = 3. Then, 3 + 3 = 6.

3. When you add me to myself, you get 10. What number am I?

Answer: 5, because 5 + 5 = 10.

4. A cat has 4 legs. How many legs do 3 cats have altogether?

Answer: 12. Count in fours: 4, 8, 12.

5. I have a face and two hands. I count all day long, but I can never clap. What am I?

Answer: A clock.

6. How many sides do 2 triangles and 1 square have in total?

Answer: 10. Each triangle has 3 sides and a square has 4, so 3 + 3 + 4 = 10.

7. I am an even number bigger than 5 and smaller than 9. I am not 8. What number am I?

Answer: 6. The even numbers between 5 and 9 are 6 and 8, and it isn’t 8.

8. Which is more: 5 tens or 45 ones?

Answer: 5 tens. Five tens make 50, which is more than 45.

9. You have 10 fingers. How many fingers are on 10 hands?

Answer: 50. Each hand has 5 fingers, so 10 × 5 = 50.

10. If today is Monday, what day is the day after tomorrow?

Answer: Wednesday. Tomorrow is Tuesday, so the day after tomorrow is Wednesday.

Maths riddles for kids (ages 7–10)

These riddles use numbers, multiplication and simple word problems. Read each one carefully because the wording matters.

11. When you multiply me by any number, the answer is always that same number. What am I?

Answer: 1. Anything multiplied by 1 stays the same.

12. Arjun is 6, and his sister is twice his age. When Arjun turns 10, how old will his sister be?

Answer: 16. His sister is 12 now, so she is 6 years older. She will still be 6 years older when Arjun is 10.

13. How can you use eight 4s and only addition to make 500?

Answer: 444 + 44 + 4 + 4 + 4 = 500.

14. If you double me and then add 4, you get 20. What number am I?

Answer: 8. Work backwards: 20 − 4 = 16, and half of 16 is 8.

15. What is half of 2 plus 2?

Answer: 3. Half of 2 is 1, and 1 + 2 = 3.

16. I am a three-digit number. My tens digit is 4 more than my ones digit. My hundreds digit is 2 less than my tens digit. All my digits add up to 15. What number am I?

Answer: 573. The digits are 5, 7 and 3: 7

17. If 3 cats catch 3 mice in 3 minutes, how many cats are needed to catch 100 mice in 100 minutes?
Answer: 3 cats. Together, they catch 1 mouse per minute, so they can catch 100 mice in 100 minutes.

18. A shop sells pencils for 5 coins each, or 3 pencils for 12 coins. How much do you save if you buy 6 pencils in sets of 3?
Answer: 6 coins. Six pencils cost 30 coins individually, while two sets cost 24 coins. So, you save 6 coins.

19. I am the smallest number that both 4 and 6 divide into exactly. What am I?
Answer: 12. It is the first number that appears in both the 4 and 6 times tables.

20. I am a number that looks the same upside down and is worth nothing on my own, yet I make 1 into 10. What am I?
Answer: 0. Zero acts as a placeholder, so putting it after 1 makes 10.

Logic puzzles and brain teasers (ages 9–12)

These puzzles need a little planning, not just calculation. Encourage children to draw pictures, make lists or act out the problem.

21. You have a 3-litre jug and a 5-litre jug, and a tap with unlimited water. How can you measure exactly 4 litres?
Answer: Fill the 5-litre jug and pour it into the 3-litre jug, leaving 2 litres. Empty the 3-litre jug and pour the 2 litres into it. Fill the 5-litre jug again and use it to fill the 3-litre jug. This leaves exactly 4 litres in the 5-litre jug.

22. Three boxes are labelled “Apples”, “Oranges” and “Mixed”. Every label is wrong. You may take out one fruit from one box without looking inside. How do you fix all the labels?
Answer: Take a fruit from the box labelled “Mixed”. Since the label is wrong, it must contain only one type of fruit. If you pull out an apple, that box is Apples. The box labelled “Oranges” must then be Mixed, and the last box is Oranges.

23. Ria, Sam and Tom ran a race. Ria wasn’t last. Tom finished right after Ria. Sam wasn’t first. In what order did they finish?
Answer: Ria, Tom, Sam. Since Tom finished right after Ria and Sam wasn’t first, Ria must be first.

24. A father is 4 times as old as his son. In 20 years, he’ll be only twice as old. How old are they now?
Answer: The son is 10 and the father is 40. In 20 years, they will be 30 and 60.

25. Five friends meet, and each one shakes hands with every other friend exactly once. How many handshakes happen?
Answer: 10. The handshakes are 4 + 3 + 2 + 1 = 10.

26. A bat and a ball cost 110 pence together. The bat costs 100 pence more than the ball. How much does the ball cost?
Answer: 5 pence. The bat costs 105 pence, so together they cost 110 pence.

27. A snail is at the bottom of a 10-metre well. Each day it climbs 3 metres, and each night it slides down 2 metres. On which day does it get out?
Answer: Day 8. After 7 days and nights, it is at 7 metres. On day 8, it climbs 3 metres and reaches the top before it can slide back.

28. Place the numbers 1 to 9 in a 3 × 3 grid so every row, column and diagonal adds up to 15.
Answer: One solution is below. Hint: 5 always goes in the middle.

29. Draw a triangle. Now draw one straight line from the top corner to the bottom edge. How many triangles can you see? 

Answer: 3. There are two small triangles and the large triangle they make together.

30. You have 9 coins that look identical, but one is slightly heavier. Using a balance scale only twice, how can you find the heavy coin?
Answer: Split the coins into three groups of 3. Weigh two groups. If one is heavier, the heavy coin is in that group. If they balance, it is in the third group. Then weigh 1 coin against 1 coin from the group of 3 to find the heavy one.

Tricky maths questions and word puzzles

These questions hide the answer in the wording. They encourage children to read carefully and question their first answer.

31. A rope ladder hangs over the side of a boat. The rungs are 20 cm apart, and 5 rungs are above the water. The tide rises by 40 cm. How many rungs are above the water now?
Answer: Still 5. The boat rises with the tide, so the ladder rises too.

32. How many birthdays does the average person have?
Answer: Just one. You are born only once. After that, you celebrate your birthday each year.

33. A doctor gives you 3 pills and tells you to take one every half hour. How long will the pills last?
Answer: 1 hour. You take the first pill straight away, the second after 30 minutes and the third after 60 minutes.

34. If you multiply together all the numbers on a phone keypad, what answer do you get?
Answer: 0. The keypad includes 0, and anything multiplied by 0 is 0.

35. A brick weighs 1 kg plus half a brick. How much does the whole brick weigh?
Answer: 2 kg. If half a brick weighs 1 kg, the whole brick weighs 2 kg.

36. Write down eleven thousand, eleven hundred and eleven as a number.
Answer: 12,111. 11,000 + 1,100 + 11 = 12,111.

37. You’re running a race and you overtake the person in last place. What place are you in now?
Answer: It’s impossible. If they were in last place, nobody could be behind them to overtake them.

38. When does 10 + 3 = 1?
Answer: On a clock. Three hours after 10 o’clock is 1 o’clock.

Number pattern and sequence puzzles

Spotting patterns is an important part of maths. For each sequence, ask: what comes next, and what is the rule?

39. 3, 6, 12, 24, ?
Answer: 48. Each number doubles.

40. 1, 4, 9, 16, 25, ?
Answer: 36. These are square numbers: 1 × 1, 2 × 2, 3 × 3 and so on. The next is 6 × 6.

41. 1, 1, 2, 3, 5, 8, ?
Answer: 13. Each number is the sum of the two before it. This is the Fibonacci sequence.

42. 2, 3, 5, 7, 11, ?
Answer: 13. These are prime numbers, which can only be divided evenly by 1 and themselves.

43. 100, 95, 85, 70, 50, ?
Answer: 25. The gaps increase by 5 each time: take away 5, then 10, 15, 20 and finally 25.

44. O, T, T, F, F, S, S, E, ?
Answer: N. These are the first letters of One, Two, Three, Four, Five, Six, Seven and Eight. Next comes Nine.

45. J, F, M, A, M, J, J, ?
Answer: A. These are the first letters of the months, and August comes after July.

46. 1, 11, 21, 1211, 111221, ?
Answer: 312211. Each line describes the one before it. “111221” means three 1s, two 2s and one 1.

Hard maths puzzles for older kids (ages 11+)

Ready for a challenge? These puzzles can stump adults too. Give children some paper and time to work things out.

47. In a family, each girl has as many brothers as sisters. But each boy has twice as many sisters as brothers. How many girls and boys are there?
Answer: 4 girls and 3 boys. Each girl has 3 sisters and 3 brothers. Each boy has 4 sisters and 2 brothers.

48. A clock strikes 6 times at 6 o’clock, and it takes 5 seconds from the first strike to the last. How long will it take to strike 12 times at noon?
Answer: 11 seconds. Six strikes have 5 gaps, so each gap is 1 second. Twelve strikes have 11 gaps.

49. What is 1 + 2 + 3 + … all the way up to 100? Can you find it without adding every number?
Answer: 5,050. Pair the numbers from each end: 1 + 100, 2 + 99, 3 + 98. Each pair makes 101, and there are 50 pairs. So, 50 × 101 = 5,050.

50. How many squares of any size are on a chessboard?
Answer: 204, not 64. Add the squares of each size: 64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204.

51. Using exactly four 4s and any operations you like, can you make the number 7?
Answer: 44 ÷ 4 − 4 = 7.

52. A train 100 metres long passes a pole in 10 seconds. How long will it take to cross a bridge that is 200 metres long?
Answer: 30 seconds. The train travels 10 metres per second. To cross the bridge fully, it needs to travel 300 metres: 200 metres for the bridge + 100 metres for the train.

53. Think of any number. Add 5. Double it. Subtract 4. Divide by 2. Subtract the number you started with. What’s your answer?
Answer: 3, every time. The final answer is always 3 more than the number you started with.

54. A shop raises a toy’s price by 10%, then puts it on sale for 10% off. Is the toy back to its original price?
Answer: No, it is 1% cheaper. A 100-coin toy goes up to 110 coins. A 10% discount takes off 11 coins, leaving 99 coins.

55. Find a four-digit number where the first digit tells how many 0s are in the number, the second tells how many 1s, the third how many 2s, and the fourth how many 3s.
Answer: 1210 works: one 0, two 1s, one 2 and no 3s. Another answer is 2020: two 0s, no 1s, two 2s and no 3s.

Tips for using maths puzzles with kids

A few simple tips can make maths puzzles more enjoyable and help children get the most from them.

• Give them time to think. Wait before giving a hint. A little time can help children find the answer themselves.
• Give hints, not answers. Ask, “What do you know so far?” or “Could you draw it?” to help them think.
• Praise their effort. Praise how they approached the puzzle rather than simply saying they are clever. This helps build confidence and resilience.
• Let them explain. Ask children to explain how they solved the puzzle. Explaining their thinking helps them understand it better.
• Choose the right level. Start with puzzles that are slightly easier than their usual level. Small wins can build confidence.
• Make it a game. Try a puzzle jar at home or a ‘puzzle of the week’ in class. You could even let children challenge the grown-ups.
• Let them create puzzles. Once children understand how a puzzle works, ask them to make their own. Creating puzzles encourages deeper thinking.

Take puzzle thinking further with EuroNumerati Math Mastery

Puzzles spark curiosity, but lasting confidence in math comes from a structured approach. That’s the idea behind EuroNumerati Math Mastery, a new program from EuroSchool, powered by Lighthouse Learning Group.

EuroNumerati starts from a simple belief: children can enjoy learning math when they have the right pathways, enough time and consistent support. The program builds deep understanding, confidence and ownership of mathematical thinking through structured and differentiated learning journeys.

Key features of EuroNumerati:

• Personalized learning pathways. Baseline and endline assessments show where each child begins and how far they’ve come, so learning fits the individual child.
• Concept building through manipulatives. Children explore ideas hands-on with objects they can touch, stack and move before tackling them on paper.
• Concrete-Pictorial-Abstract (CPA) learning design. Kids first work with real objects, then with pictures and diagrams, and finally with numbers and symbols.

How it connects to the puzzles in this post: many of the puzzles above click faster with the same CPA approach. Try the jugs puzzle (#21) with real cups of water, draw the snail’s climb in puzzle #27, or cut out number cards for the magic square in puzzle #28. Act it out, draw it, then write the math.

EuroNumerati is launching alongside EuroSchool’s other new programs, including a new primary curriculum and an AI literacy program. Parents who want to know more can reach out to their nearest EuroSchool campus.

Frequently asked questions

What age should kids start doing maths puzzles?
Kids can start from around 4 or 5 with simple counting and shape puzzles. Choose puzzles that match what they know and are just a little challenging.

Are maths puzzles good for kids who struggle with maths?
Yes. Puzzles can feel more like games than schoolwork, which can take away some of the pressure. They also let children use logic rather than relying only on speed or memorised facts.

How often should kids do maths puzzles?
A few minutes a day is enough. Try two or three puzzles at breakfast or as a quick class activity.

What’s the difference between a maths riddle and a brain teaser?
A maths riddle often uses clever wording to hide the answer. A brain teaser is broader and can involve logic, patterns or lateral thinking.

What should I do if my child gets frustrated?
Try an easier puzzle and come back to the harder one later. Frustration may simply mean the puzzle is too difficult right now.