100+ Fun Maths Questions with Answers for Kids

#Parenting
TL;DR
Here are 105 original fun maths questions with answers, sorted by age and type, plus six tricky ones worked out step by step so your child sees why the obvious answer fails.
BT
Bhanzu TeamLast updated on October 15, 202622 min read

What Makes Math Fun?

Math feels fun when a question has a surprise in it: a twist, a pattern, or an answer that turns out to be different from the first guess. Speed and right answers are not what make it fun. The moment of "wait, that can't be right" is.

Three things turn an ordinary sum into a fun maths question:

  • A story or a picture. "Two spiders have how many legs?" lands differently from "2×82 \times 8", even though the arithmetic is the same.

  • A trap worth spotting. Questions like "how many months have 28 days?" reward the child who reads carefully, not the one who answers fastest.

  • A pattern to discover. When a child notices that 1, 4, 9, 16 are square numbers, the next number stops being a guess.

Children often say math is fun "when you understand it", and that phrasing is worth taking seriously. Understanding is what lets a child predict, check and enjoy being right for a reason, which is a very different feeling from being right by luck.

How Do You Make Maths Fun For Kids With Questions Like These?

Make maths fun for kids by treating each question as a short conversation rather than a quiz. Ask, wait, then ask how they know. The answer matters less than the reasoning your child says out loud.

A simple routine that works at home:

  1. Read one question aloud, slowly. Most trick questions are reading questions in disguise.

  2. Wait at least ten seconds before saying anything. Silence is where the thinking happens.

  3. Ask "how do you know?" for right and wrong answers alike. A correct answer with no reason behind it is fragile.

  4. Offer a hint, not the answer. "Try drawing it" or "what if the numbers were smaller?" keeps the work in your child's hands.

  5. Stop while it is still fun. Three good questions beat fifteen tired ones.

Mixing types helps too. Pair one easy question with one stretch question so every child gets a win before the hard one. If your child enjoys the playful side, the math jokes for kids page makes a good warm-up, and the habit of sitting with a hard problem has a name in teaching: productive struggle in math.

Which Fun Maths Questions Suit Ages 5 To 7?

Children aged 5 to 7 enjoy questions about things they can picture: animals, food, toys and days of the week. Keep numbers within 20 and let your child count on fingers or objects.

#

Question

Answer

1

You have 3 red apples and 2 green apples. How many apples do you have?

5

2

A spider has 8 legs. How many legs do 2 spiders have?

16

3

Which is more: 9 sweets, or 6 sweets and 2 more sweets?

9 sweets (6 and 2 make 8)

4

What number comes straight after 19?

20

5

How many corners does a triangle have?

3

6

You have 10 crayons and give 4 to a friend. How many are left?

6

7

How many wheels are on 3 bicycles?

6

8

What is double 7?

14

9

Count in fives: 5, 10, 15, ?, 25. What is missing?

20

10

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

Wednesday

11

A cat has 4 legs and a bird has 2. How many legs altogether?

6

12

Which number is the odd one out: 2, 4, 7, 8?

7, the only odd number

13

How many sides do a square and a triangle have together?

7

14

What is half of 12?

6

15

A pizza has 8 slices. Your family eats 3. How many slices are left?

5

What Are Good Fun Maths Questions For 8 To 10 Year Olds?

Children aged 8 to 10 are ready for times tables, time, simple fractions, area and patterns. These questions mix one-step and two-step thinking.

#

Question

Answer

16

What is 7×87 \times 8?

56

17

How many minutes are in 2 hours?

120

18

A book has 120 pages. You read 15 pages a day. How many days to finish?

8 days

19

What is 14\frac{1}{4} of 20?

5

20

What is the perimeter of a square with 6 cm sides?

24 cm

21

What is the area of a rectangle 7 m long and 4 m wide?

28 square metres

22

What comes next: 2, 4, 8, 16, ?

32 (each number doubles)

23

Using the digits 4, 9 and 1 once each, what is the biggest number you can make?

941

24

A film starts at 4:45 pm and lasts 1 hour 30 minutes. When does it end?

6:15 pm

25

How many legs are there on 4 chairs and 3 people?

22 (16 chair legs and 6 people legs)

26

What is 100−37100 - 37?

63

27

Round 467 to the nearest hundred.

500

28

How many 25s are in 300?

12

29

Which is bigger: 0.7 or 0.65?

0.7 (it is 0.70)

30

A box holds 12 eggs. You use half, then 2 more. How many are left?

4

31

What is 9×119 \times 11?

99

32

What do the three angles of any triangle add up to?

180 degrees

33

What comes next: 1, 4, 9, 16, ?

25 (square numbers)

34

36 children make teams of 5. How many full teams, and how many children are left over?

7 teams, 1 child left over

35

Which even number between 30 and 40 is a multiple of 9?

36

Which Quick Mental Maths Questions Work As A Fun Round?

Quick mental maths rounds work best as a game: one question each, answer in your head, no paper. Each one below has a shortcut hiding in it, which is the real point.

#

Question

Answer and shortcut

36

25×425 \times 4

100 (four 25s make 100)

37

99+4799 + 47

146 (add 100, take away 1)

38

15% of 200

30 (10% is 20, 5% is 10)

39

48÷648 \div 6

8

40

250+250+250250 + 250 + 250

750

41

1000−11000 - 1

999

42

12×1212 \times 12

144

43

Half of 3.5

1.75

44

63÷963 \div 9

7

45

19×519 \times 5

95 (20 fives minus one five)

46

0.5×800.5 \times 80

40 (half of 80)

47

7+8+3+27 + 8 + 3 + 2

20 (pair 7 with 3 and 8 with 2)

48

34\frac{3}{4} of 100

75

49

1.2+0.81.2 + 0.8

2

50

11×1311 \times 13

143

For timed sets graded by class, the separate mental maths questions collection goes deeper on speed practice.

What Are Some Fun Maths Riddles With Answers?

A maths riddle hides a number fact inside a clue, so the child has to work backwards from the description. These are written for this page; a longer set of word riddles lives on the math riddles for kids page.

#

Riddle

Answer

51

I read the same forwards and backwards, and I sit between 100 and 110. Who am I?

101

52

I have two digits. My tens digit is 3 more than my ones digit, and my digits add to 9. Who am I?

63

53

Which of these number words has its letters in alphabetical order: thirty, forty or fifty?

Forty (f, o, r, t, y)

54

Multiply me by any number and the answer is always me. Who am I?

0

55

I am the smallest number that 1, 2, 3 and 4 all divide into exactly. Who am I?

12

56

Add me to myself or multiply me by myself and you get the same answer. I am not zero. Who am I?

2 (2+2=42 + 2 = 4 and 2×2=42 \times 2 = 4)

57

My ones digit is 4. My tens digit is twice my ones digit. My hundreds digit is my tens digit minus 7. Who am I?

184

58

How many times can you take 5 away from 25?

Once. After that you are taking it from 20

59

I have four equal sides, but I am not always a square. What am I?

A rhombus

60

Write the numbers from 1 to 100. How many times do you write the digit 9?

20 (ten in the ones place, ten in the nineties)

61

I am bigger than 1 and smaller than 50. Divide me by 7 or by 5 and the remainder is 1 both times. Who am I?

36

62

A clock strikes 3 times at 3 o'clock, and it takes 2 seconds. How long does it take to strike 6 times at 6 o'clock?

5 seconds (3 strikes have 2 gaps of 1 second; 6 strikes have 5 gaps)

63

What comes next: 1, 1, 2, 3, 5, 8, ?

13 (add the two numbers before)

64

Which is heavier: a kilogram of feathers or a kilogram of bricks?

Neither, both weigh a kilogram

65

I am flat, I have no corners and no straight sides. What shape am I?

A circle (an oval works too)

Question 63 is the start of the Fibonacci sequence, and children who enjoy it can explore more Fibonacci numbers and where they turn up in sunflowers and pine cones.

Which Logic Puzzles Make Kids Think Twice?

Logic puzzles ask a child to combine clues, test cases and rule out what cannot be true. Encourage drawing, tables and trying small cases first.

#

Puzzle

Answer

66

Ana, Ben and Cal run a race. Ana is not first, and Cal finishes straight after Ana. Who won?

Ben (then Ana, then Cal)

67

A farm has hens and goats: 10 heads and 28 legs. How many goats?

4 goats and 6 hens

68

You have a 4-minute sand timer and a 7-minute sand timer. How can you time exactly 10 minutes?

Start both. When the 4-minute timer runs out, start counting. The 7-minute timer has 3 minutes left; when it empties, flip it straight away. When it empties again, 3 + 7 = 10 minutes have passed

69

Pens cost 3 coins and erasers cost 2 coins. You spend exactly 13 coins and buy at least one of each. What could you have bought?

1 pen and 5 erasers, or 3 pens and 2 erasers

70

Mia is taller than Leo, and Leo is taller than Sam. Is Sam taller than Mia?

No, Mia is the tallest

71

Draw a triangle, then one line from a corner to the opposite side. How many triangles can you see?

3 (two small ones and the big one)

72

I am between 20 and 30, I am a multiple of 4, and my digits add to 6. Who am I?

24

73

Four teams each play every other team once. How many games are played?

6

74

A dark drawer holds 6 black socks and 6 white socks. How many must you take out to be sure of a matching pair?

3

75

A pattern goes square, triangle, square, triangle. What is the 15th shape?

Square (every odd position is a square)

76

If 3 cats catch 3 mice in 3 minutes, how many cats catch 100 mice in 100 minutes?

3 cats (each cat catches one mouse every 3 minutes)

77

Make 24 using 3, 3, 8 and 8 once each with ++, −-, ×\times and ÷\div.

8÷(3−8÷3)=8÷13=248 \div (3 - 8 \div 3) = 8 \div \frac{1}{3} = 24

78

A father is 30 years older than his son. In 5 years he will be 4 times as old as his son. How old is the son now?

5 (in 5 years: 10 and 40)

Puzzle 74 is a gentle first meeting with the pigeonhole principle, and puzzle 67 is simultaneous equations wearing farm clothes.

What Are The Trickiest Maths Questions That Look Easy?

The trickiest maths questions look easy because the first answer that comes to mind is wrong. Each one below has a trap, and the explanation names it.

#

Question

Answer and the trap

79

Divide 30 by a half, then add 10.

70. Dividing by a half doubles: 30÷12=6030 \div \frac{1}{2} = 60

80

How many months have 28 days?

All 12 (every month has at least 28 days)

81

A rope has 2 ends. Cut it once in the middle. How many ends now?

4

82

What is 2+2×22 + 2 \times 2?

6. Multiply before adding

83

A train 1 km long goes through a 1 km tunnel at 1 km per minute. How long from the front entering to the back leaving?

2 minutes (the train travels 2 km)

84

Which is bigger: 232^3 or 323^2?

32=93^2 = 9 is bigger than 23=82^3 = 8

85

In a race you overtake the runner in 2nd place. What place are you in now?

2nd, not 1st

86

How many 1 cm cubes fit inside a cube with 3 cm edges?

27 (3×3×33 \times 3 \times 3)

87

What is 0.1+0.2×100.1 + 0.2 \times 10?

2.1

88

A jar of bacteria doubles every hour and is full at 6 pm. When was it a quarter full?

4 pm (half full at 5 pm, a quarter full at 4 pm)

89

Is 1 a prime number?

No. A prime has exactly two factors, and 1 has only one

90

What is 50% of 50% of 100?

25

91

How many edges does a cube have?

12

92

How many squares can you find on a 2 by 2 grid?

5 (four small ones and one big one)

Question 82 is the same idea behind most "only geniuses can solve this" posts online: the order of operations in math decides the answer, not the order you read the symbols. Question 89 is a good doorway into prime numbers in general.

Which Fun Maths Questions Challenge Ages 11 To 14?

Ages 11 to 14 can handle equations, percentages, probability and geometry facts. These stretch questions reward a written method.

#

Question

Answer

93

Solve 3x+7=253x + 7 = 25.

x=6x = 6

94

What is 1+2+3+⋯+101 + 2 + 3 + \dots + 10?

55

95

What do the interior angles of a hexagon add up to?

720 degrees ((6−2)×180(6 - 2) \times 180)

96

Roll two dice. What is the probability that they add to 7?

636=16\frac{6}{36} = \frac{1}{6}

97

A shirt is 20% off, then a further 10% off the new price. What is the total discount?

28%, not 30% (0.8×0.9=0.720.8 \times 0.9 = 0.72)

98

What is 169\sqrt{169}?

13

99

The ratio a:ba : b is 2:32 : 3 and b=12b = 12. What is aa?

8

100

What is the next prime number after 89?

97

101

What is the mean of 4, 8, 15, 16, 23 and 42?

18 (they add to 108, and 108÷6=18108 \div 6 = 18)

102

What is the last digit of 2102^{10}?

4 (210=10242^{10} = 1024)

103

A right triangle has shorter sides 5 and 12. How long is the longest side?

13

104

How many diagonals does a pentagon have?

5

105

A car travels 150 km in 2.5 hours. What is its average speed?

60 km per hour

Question 103 uses the Pythagoras theorem, since 52+122=25+144=169=1325^2 + 12^2 = 25 + 144 = 169 = 13^2.

What Is The Hardest Math Question In The World?

There is no single hardest maths question, but the most famous candidates are the seven Millennium Prize Problems, announced by the Clay Mathematics Institute in Paris on 24 May 2000 with 1 million US dollars offered for each solution. Only one, the Poincaré Conjecture, has been solved, by Grigori Perelman. The other six, including the Riemann Hypothesis and P vs NP, are still open, according to the Clay Mathematics Institute.

That answer surprises children in a useful way. It shows maths is not a finished subject with every answer in the back of the book; real mathematicians spend years on a single unsolved question. When a child asks for "the most difficult math question", this is the honest reply, and it tends to make the 105 questions above feel very solvable.

Examples Of Fun Maths Questions With Answers

These six are worked in full because the method is more interesting than the answer. They are extra to the 105 in the tables.

Example 1

How many squares are there on a 3 by 3 grid?

Count by size instead of trying to spot them all at once.

1×1 squares: 91 \times 1 \text{ squares: } 9

2×2 squares: 42 \times 2 \text{ squares: } 4

3×3 squares: 13 \times 3 \text{ squares: } 1

9+4+1=149 + 4 + 1 = 14

Final answer: 14 squares. The counts are square numbers, which is a lovely pattern to point out.

Example 2

A notebook and a pencil cost 1.20 together. The notebook costs 1.00 more than the pencil. What does the pencil cost?

The tempting answer is 0.20, found by taking 1.00 away from 1.20. Check it: if the pencil is 0.20, the notebook is 1.00 more, so 1.20. Together that is 1.40, not 1.20, so 0.20 cannot be right.

Call the pencil's price pp. The notebook costs p+1.00p + 1.00.

p+(p+1.00)=1.20p + (p + 1.00) = 1.20

2p=0.202p = 0.20

p=0.10p = 0.10

Final answer: the pencil costs 0.10 and the notebook costs 1.10. This puzzle is a cousin of the bat-and-ball question in the three-item Cognitive Reflection Test that Shane Frederick published in the Journal of Economic Perspectives in 2005, built to catch people who answer before they check.

Example 3

Six friends meet, and each one shakes hands once with every other friend. How many handshakes happen?

Each of the 6 friends shakes 5 hands, which gives 6×5=306 \times 5 = 30. But that counts every handshake twice, once from each person.

6×52=15\frac{6 \times 5}{2} = 15

Final answer: 15 handshakes. Draw 6 dots and join every pair to check.

Example 4

What is 1+2+3+⋯+501 + 2 + 3 + \dots + 50?

Pair the first number with the last, the second with the second-last, and so on. Each pair adds to 51, and there are 25 pairs.

1+50=51,2+49=51,…1 + 50 = 51, \quad 2 + 49 = 51, \quad \dots

25×51=127525 \times 51 = 1275

Final answer: 1275. The general shortcut is the sum of natural numbers formula, n(n+1)2\frac{n(n + 1)}{2}, and 50×512=1275\frac{50 \times 51}{2} = 1275 agrees.

Example 5

A farmyard has chickens and cows: 20 heads and 56 legs. How many cows are there?

Pretend every animal is a chicken first. Then 20 heads give 20×2=4020 \times 2 = 40 legs.

56−40=16 extra legs56 - 40 = 16 \text{ extra legs}

Each cow adds 2 extra legs, so:

16÷2=8 cows16 \div 2 = 8 \text{ cows}

Final answer: 8 cows and 12 chickens. Check: 8×4+12×2=32+24=568 \times 4 + 12 \times 2 = 32 + 24 = 56. The same idea solves puzzle 67.

Example 6

What is the angle between the hands of a clock at 3:30?

The minute hand points at 6, which is 180180 degrees from 12. The hour hand moves 30 degrees per hour, and at 3:30 it is halfway between 3 and 4.

3.5×30=105 degrees3.5 \times 30 = 105 \text{ degrees}

180−105=75 degrees180 - 105 = 75 \text{ degrees}

Final answer: 75 degrees, not 90. The hour hand does not sit still on the 3, and that is the whole trick.

Why Do Kids Get Fun Maths Questions Wrong?

Kids get fun maths questions wrong mostly because they answer the question they expected instead of the one on the page. The arithmetic is rarely the problem. These are the four mistakes worth naming.

Mistake 1: Answering Too Fast

Where it slips in: Short questions with an obvious-looking answer, like the notebook and pencil in Example 2.

Don't do this: Grab the first number that appears and subtract or add it straight away.

The correct way: Put the answer back into the question and check it before saying it aloud.

The first instinct on the notebook question is to subtract 1.00 from 1.20, because the word "more" gets read as "costs". The rusher gets it wrong every time, while the second-guesser often gets it right and then changes it back.

Mistake 2: Counting Things Instead Of Gaps

Where it slips in: Clock strikes, fence posts, steps between floors and similar questions (riddle 62).

Don't do this: Divide the time by the number of strikes.

The correct way: Draw the strikes as dots and count the gaps between them.

Children who say an answer before drawing anything tend to miss this one; drawing three dots and two gaps fixes it almost immediately, and the habit carries over to every "posts and gaps" question after.

Mistake 3: Forgetting The Order Of Operations

Where it slips in: Questions like 2+2×22 + 2 \times 2 and viral puzzles shared online.

Don't do this: Work strictly left to right.

The correct way: Brackets first, then multiplication and division, then addition and subtraction.

Mistake 4: Ignoring The Units

Where it slips in: Time, length and speed questions, such as the film times in question 24 or the speed in question 105.

Don't do this: Treat 1 hour 30 minutes as 1.30 hours, or mix kilometres and metres.

The correct way: Write the unit next to every number and convert before calculating.

When Is Your Child Ready For Harder Questions?

Your child is ready for a harder group when they can solve most questions in their current group and explain how. Speed is not the signal; explanation is.

  • Move up when your child finishes a table with few mistakes and can say why each answer works.

  • Stay put when correct answers come with "I just knew it" and no reason.

  • Step back when frustration builds over two or three sessions. Drop one group, rebuild a few wins, then return.

If simple questions in the 8 to 10 group keep causing tears or shutdown after a few weeks of calm practice, it is worth talking to your child's teacher. Persistent struggle with basic number facts can point to a gap from an earlier year that a puzzle cannot close on its own.

How Does Bhanzu Use Questions Like These?

Bhanzu trainers use puzzle-style questions to see how a child thinks, not just whether they reach the answer. A child who explains the clock riddle or spots the trap in a trick question is showing the reasoning that classes then build on, starting from the reason a method works before the method itself.

Classes are live and online, from UKG to Grade 10, and every child starts at the level they are actually working at rather than their school grade. That matters for puzzles, because a question pitched too hard or too easy stops being fun.

This fits families who want their child to enjoy reasoning and explain their thinking. It is not the right fit if the only goal is drilling a specific exam paper in the next few weeks.

Where Can Your Child Get More Maths Challenge?

If your child loves these questions and wants more, a structured programme can keep the challenge coming at the right level:

Key Takeaways

  • These 105 fun maths questions with answers are grouped by age and type so you can start where your child is.

  • Trick questions are reading questions: put the answer back into the question before saying it.

  • Draw the problem, count gaps rather than things, and write the units.

  • Ask "how do you know?" for right answers as well as wrong ones.

  • Three good questions with real discussion beat a long quiz.

What Should You Try Next?

Pick one table tonight, read three questions aloud and wait before helping. If your child gets stuck on a trick question, return to Example 2 and walk through the check step together. Want a live Bhanzu trainer to take this kind of thinking further? Book a free demo class.

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Frequently Asked Questions

What is the hardest math question with an answer?
A strong candidate is Fermat's Last Theorem. It stood unproved for over 350 years until Andrew Wiles announced a proof in 1993, fixed a gap with Richard Taylor in September 1994, and published it in the Annals of Mathematics in 1995, as recorded by the MacTutor biography of Andrew Wiles.
How do you make maths fun for 8 year olds?
Use questions about things they care about, like legs on animals, sweets and times of day, and let them draw. The 8 to 10 table above is a good starting point; read one question, wait, and ask how they know. Turning fun maths questions with answers into a two-player game, where your child also asks you one, keeps it light.
Why is math not fun for some kids?
Usually because it has become a race to the right answer with no room to think. When every question looks the same and mistakes feel like failures, the surprise and pattern-spotting that make maths enjoyable disappear.
Why is math fun when you understand it?
Understanding lets you predict and check. A child who knows why 7×8=567 \times 8 = 56 can rebuild it from 7×7=497 \times 7 = 49 plus 7, and that feeling of control is what turns maths from guessing into a game.
Can you solve this math puzzle: 6÷2(1+2)6 \div 2(1 + 2)?
It depends on the convention, and this is one place where it is honestly confusing. Using the standard rule that multiplication and division share equal priority and go left to right, 6÷2×3=3×3=96 \div 2 \times 3 = 3 \times 3 = 9. Some calculators and textbooks treat the "2" joined to the bracket as a single block and give 1, which is why the puzzle goes viral.
What is the hardest math question in high school?
There is no single one. Many students find proofs hardest, such as showing that a square root is irrational; proving that root 3 is irrational is a good example, and the 11 to 14 table in these fun maths questions with answers builds toward that kind of reasoning.
✍️ Written By
BT
Bhanzu Team
Content Creator and Editor
Bhanzu’s editorial team, known as Team Bhanzu, is made up of experienced educators, curriculum experts, content strategists, and fact-checkers dedicated to making math simple and engaging for learners worldwide. Every article and resource is carefully researched, thoughtfully structured, and rigorously reviewed to ensure accuracy, clarity, and real-world relevance. We understand that building strong math foundations can raise questions for students and parents alike. That’s why Team Bhanzu focuses on delivering practical insights, concept-driven explanations, and trustworthy guidance-empowering learners to develop confidence, speed, and a lifelong love for mathematics.
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