Parents looking to integrate math with fun games may consider introducing some math puzzles for kids. Playing with numbers and solving math problems not only challenges your child but also helps develop analytical skills, critical thinking, and logical thinking abilities. To motivate your child to enjoy math, ensure they have their concepts clear and they understand the basics of the subject. In this post, we bring math puzzles for children to help them develop an interest in math and clarify their basics.

## Benefits of Math puzzles

Here are some benefits of solving math puzzles:

- Math puzzles provide a fun and engaging way for students to solve math problems, igniting their curiosity and interest.
- While puzzles have rules, students have the freedom to choose how to approach and solve them. This promotes independent thinking.
- Solving puzzles helps children develop problem-solving skills, enhancing their understanding of basic puzzle elements like color, letters, and characters, which can be applied to academic subjects.
- Puzzles improve the logic skills of children and boost their spatial awareness and reasoning abilities (1).
- Math puzzles create opportunities for meaningful conversations about mathematical concepts, allowing students to discuss and reinforce their understanding of previous skills.
- As a group activity, solving puzzles encourages teamwork, where children can appreciate everyone’s contributions and ideas.
- Solving puzzles can give children a sense of accomplishment and enhance their confidence.

## Math Puzzles For Grade III (8-9 years)

### 1. In a meeting, there are four people. If each person shakes hands with the other, how many handshakes will happen?

**Answer: **6

**Explanation**

Make a list of all the handshakes made by each person. There will be three handshakes per person; however, the handshakes made by A to B and B to A are the same. So, after removing such repetitions, the answer is 6 handshakes.

### 2. Solve the additions

Solve the below questions using the clues given

**Answer: **

- 3+7+3 =13
- 1+7+3 = 11
- 7+7+3 = 17
- 3+7+3+1 = 14

**Explanation**

According to the clues given, the sum of two triangles is 6, so each triangle’s value is 3.

The sum of a triangle and a circle is 4, since the triangle’s value is 3, the value of the circle is 1.

Similarly, the value of the square is 7, and the rhombus is 3. So, by adding the values of the shapes, we will get the above answers.

### 3. On one side of a highway, trees are planted adjacent to each other at an equal distance. If the distance between the first tree and the 150th tree is 660m, then what is the distance between two adjacent trees?

**Answer: **4.4m

**Explanation**

There will be 149 gaps between 150 trees. So, the distance between two adjacent trees would require division of 660 by 149 gaps is 4.4m.

### 4. Find the missing numbers

**Answer: **13

**Explanation**

To solve such math puzzles, you need to identify if there is a common pattern in all four questions. Try subtraction, multiplication, and addition to find the pattern.

The sum of all the numbers in all the four questions comes up to 30, so the missing number in the last question is 13.

### 5. Neal, Nithin, and Noel have a set of 9 blocks each that are numbered from 1 to 9.

**Each one randomly picks a set of three blocks.**

**Neal says: The product of all the numbers with me is 63.**

**Nithin says: The product of all the numbers with me is 48.**

**Noel says: The sum of all the numbers with me is 16.**

**Which numbered blocks do each of them have?**

**Answer:**

Neal: 1, 7, 9

Nithin: 2, 4, 6

Noel: 3, 5, 8

**Explanation**

Neal says the product of all the numbers with him is 63 and 1*7*9 is the only possible combination. Nithin might be having numbers 2, 3, 8 or 2, 4, 6, as both give the product 48. But, if Noel says the sum of the numbers with him is 16, he would have the numbers 3, 5, 8, leaving 2, 4, 6 for Nithin.

## Math Puzzles For Grade IV (9-10 years)

### 6. When Cavin was 6 years old, his brother Mike was half his age. If Cavin is 40 years old today, how old will Mike be?

**Answer: **37

**Explanation**

When Cavin is 6, his brother Mike’s age is 3, which is half of six. So, Cavin is three years older than Mike. Now, if Cavin is 40, then 40-3= 37 is Mike’s age.

### 7. What are the three whole numbers whose sum and the product are equal?

**Answer: **1, 2, and 3

**Explanation**

1*2*3 = 6

1+2+3 = 6

### 8. Numbers in a triangle

**Put the numbers from 1 to 9 in the blank spaces such that the sum of the numbers on each side of the triangle is the same.**

**Answer:**

### 9. Linda tells Tracy, “If you gave me one of your pens, then we would have the same number of pens.” Tracy replies, “If you gave me one of your pens, then I would have twice as many as you.”

### If there are a total of 12 pens, then how many pens do Linda and Tracy have each?

**Answer: **Linda has 5 pens, and Tracy has 7 pens.

**Explanation**

Since the total number of pens is 12, let us assume Linda has 5 pens and Tracy has 7 pens.

If Linda gets one pen from Tracy, then she will have 6 pens, which are equal to Tracy’s after giving away one pen (7-1 = 6).

Tracy has 7 pens, and if Linda gives her one pen, then Tracy will have 7+1 = 8 pens, and Linda will be left with 4 pens (5-1 = 4).

### 10. There are 8 girls, and each girl has 8 backpacks. In each backpack, there are 8 big cats. There are 8 little cats for every big cat. How many legs are there in the bus, excluding the driver?

**Answer: **18,448

**Explanation**

- Each girl has 8 backpacks, 8*8= 64 backpacks
- Each backpack has 8 cats, 64*8= 512 cats, one cat has four legs, 512*4= 2048 legs
- Each big cat has 8 little cats, 512*8= 4096, one cat has four legs, 4096*4= 16384 legs
- Eight girls have two legs each, 8*2= 16 legs

Total number of legs = 2048+16384+16 = 18,448

## Math Puzzles For Class V (10-11 years)

### 11. Susan weighs half as much as Kate, and Brian weighs 3 times the weight of Susan. If the sum of their weights is 720 pounds, then how much does each of them weigh individually?

**Answer:**

Susan – 120 pounds

Kate – 240 pounds

Brian – 360 pounds

**Explanation**

Let Susan’s weight be x, then Kate’s weight will be 2x, and Brian’s will be 3x.

x + 2x + 3x = 720, then x = 720/6 = 120

So, individual weights are 120, 240, and 360 pounds.

### 12. Adding which four consecutive prime numbers will give you the sum of 220?

**Answer: **47, 53, 59 and 61

### 13. When you add eight 8s, the sum should be 1000. How is this possible? (you should only use addition to solve this problem)

**Answer: **888+88+8+8+8 = 1000

### 14. 50, 49, 47, 44, 40, 35… What comes next in the sequence?

**Answer: **29

**Explanation**

The sequence is decreasing, so this could involve subtraction.

The difference between the successive numbers increases by a natural number. It gives us the following.

50 – 1 = 49

49 – 2 = 47

47 – 3 = 44

44 – 4 = 40

40 – 5 = 35

35 – 6 = 29

### 15. Apply the BODMAS rule and solve the equation.

**20+30*0/1**

**Answer: **20

**Explanation: **20+30*0/1 = 20+30*0 = 20+0 = 20

### 16. Fill in the missing number in the last triangle

**Answer:** 9

**Explanation**

You need to multiply the two corner numbers on the left hand and subtract the number in the third corner to get the number in the middle.

3*4-3 = 9

10*4-5 = 35

5*3-4 = 11

8*2-9 = 7

### 17. A group of soldiers was standing under the sun, facing west. The leader commanded, “Right turn! About turn! Left turn!” Which direction will they be facing now?

**Answer: **East

**Explanation**

They turn 90° in the right turn, and they turn 180° in an about-turn, and finally, they turn 90° in a left turn, thus facing East.

### 18. Fill in the missing number

**Answer: **7

**Explanation**

The sequence is

85/17 = 5

76/19 =4

91/13 = 7

### 19. Which number should be in the place of the question mark?

**Answer: **12

**Explanation**

The two-digit numbers are the sum of each digit in the three-digit numbers.

Therefore, 5+1+6 = 12

### 20. Find the odd one out.

**740, 185, 37, 407, 1369, 111, 78**

**Answer: **78

**Explanation**

All the other numbers are divisible by 37 except 78.

## Math Puzzles For Class VI (11-12 years)

### 21. What is the factorial of 5?

**Answer: **120

**Explanation**

A factorial is the product of all positive integers from one to that number.

5*4*3*2*1 = 120

### 22. In a class of 40 students, 8 take English, 15 take French, and 6 take both languages. The students taking both the languages are not counted in the French or English taking students. How many students are not taking either French or English?

**Answer: **11

**Explanation**

The sum of 8+15+6 is 29, which is the total number of students taking at least one of the languages. Subtract 29 from the total number of students, 40-29 = 11, it gives the number of students who are not taking any of the languages.

### 23. If you have 20 squares, 9 pentagons, 8 triangles, and 6 hexagons, how many total sides do you have?

**Answer: **185

**Explanation**

20 squares = 20*4= 80

9 pentagons = 9*5= 45

8 triangles = 8*3=24

6 hexagons = 6*6= 36

80+45+24+36 = 185

### 24. How many crates do you need to pack 150 pairs of clothes into cases that hold 50 clothes each?

**Answer: **6

**Explanation**

150 pairs of clothes, so 150*2 = 300 clothes

Each case can hold 50 clothes, then 300 clothes needs,

300/50 = 6 crates

### 25. Divide 28 by 7 and add it to 15 multiplied by 5. What is the answer?

**Answer: **79

**Explanation**

28/7= 4

15*5= 75

75+4 = 79

### 26. Add ¾ of 216 to ⅗ of 75

**Answer: **207

**Explanation **

¾ of 216 = 162

¾ of 75 = 45

162+75 = 207

### 27. A boy got 75 out of 90 in Hindi, 85 out of 100 in English, and 88 out of 90 in Arithmetic. In which subject his percentage of marks is the best? Also, find his overall percentage.

**Answer: **Arithmetic and 88.5%

**Explanation**

Percentage marks in Hindi = 75/90*100 = 83.3%

Percentage marks in English = 85/100*100 = 85

Percentage marks in Arithmetic = 88/90*100 = 97.7%

He got the best percentage of marks in arithmetic.

Total marks he got = 75+85+88 = 248

Total marks = 90+100+90 = 280

Overall percentage= 248/280*100 = 88.5%

Jenna Laib says that using math place value puzzles makes her students hooked on solving them. She says, ”I scrapped my original plans for homework (and class), and instead assigned students to design their own “Inaba Place Value puzzles.” Students later worked through them when we had a spare moment in class. A few examples are shown at right. The sixth graders insisted on using more digits, and greater powers of 10. Whether in first grade, sixth, or eleventh, students seem to reach some consensus that problems are more complicated if the numbers in them are very large or very small (i).”

## Frequently Asked Questions

1. What are the benefits of math puzzles for kids?

Solving math puzzles can be a great way to bond with your children. This team-building activity can improve problem-solving skills. When children attempt to solve math puzzles or mental math equations, they learn perseverance, which encourages them to take positive risks later in life.

2. What are the math puzzles called?

Sudoku is the most popular math puzzle, followed by the Kakuro puzzle.

3. Do math puzzles help with kids’ brain development?

Yes. Math puzzles and their calculations act as brainteasers and are a great brain exercise. Practicing math regularly aids in brain workouts that make children smarter and is also effective in stress reduction. While solving math puzzles, the brain is forced to gain concentration to focus solely on a single task and come up with a strategy for reasoning that relieves stress caused by scattered focus and multitasking.

Math puzzles for kids work like magic when it comes to improving their mathematical skills. Solving such puzzles is fun and encourages them to think out of the box and use memory, creativity, and imagination to find a solution. If you present the problems in the form of riddles or puzzles, they would love to practice math and develop their skills over time. These puzzles are interesting and keep kids engrossed deeply in them for a long time.

Are you looking to boost your brain power by 80%? Check out this video to learn 10 fun math games that will help you do just that!

### Personal Experience: Source

MomJunction articles include first-hand experiences to provide you with better insights through real-life narratives. Here are the sources of personal accounts referenced in this article.

i. Inaba’s place value puzzles: Making connections and asking “What If”https://jennalaib.wordpress.com/2017/02/21/inabas-place-value-puzzles-making-connections-and-asking-what-if/

### References

- Puzzle Play: An Easy Way to Boost Early Spatial and Math Learning

https://dreme.stanford.edu/news/puzzle-play-an-easy-way-to-boost-early-spatial-and-math-learning/

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