Mental Maths Questions With Solutions, Download PDF
Mental Maths Questions helps students quickly solve arithmetic problems using their minds, building confidence and strong math skills. Check this article to know everything about Mental Maths Questions.
Ananya Gupta1 Aug, 2025
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Mental Maths Questions: Mental maths questions are an excellent way to enhance students calculation skills and improve their number sense. These questions require quick thinking and problem-solving abilities without the help of paper and pencil.
For example students might be asked to solve simple addition and subtraction problems such as calculating the total cost of items in a shopping list or finding the difference between two numbers. More advanced questions may involve multiplication or division, such as determining how many groups of a certain size can be made from a total. Incorporating mental maths into daily practice can boost confidence, speed and accuracy in mathematics, making it an important skill for academic success.Mental Maths Questions Overview
Mental maths questions help enhance students calculation skills and boost their confidence in handling numbers. These questions are prepared by subject experts from Physics Wallah and focus on fundamental arithmetic operations that can be solved quickly in one’s head. Here are three examples of mental maths questions:- Addition: What is 47 + 36?
- Subtraction: If you have 125 apples and give away 48, how many apples do you have left?
- Multiplication: Calculate 8 × 7 without using a calculator.
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Mental Maths Questions PDF
Mental Maths Questions PDF provides a detailed collection of questions aimed at enhancing students calculation skills and number sense. This resource includes various types of mental maths problems, such as addition, subtraction, multiplication and division designed to be solved quickly and efficiently. By practicing these questions students can improve their speed and accuracy in maths which is important for academic success. To access the PDF please find the link available below.Mental Maths Questions with Solution
Here are some mental maths questions along with their solutions to help students enhance their calculation skills:Question 1: Calculate mentally:
(i) 120 + 80 + 756 + 40
(ii) 74 + 23
(iii) 57 + 89
(iv) 340 + 30 + 40
(v) 208 + 92
Solution:
(i) 120 + 80 + 756 + 40 = 996 We shall use the addition by grouping 120 + 80 = 200 50 + 40 + 6 = 96 700 + 200 + 96 = 996 (ii) 74 + 23 = 97 We shall use left-to-right addition 74 + 20 = 94 94 + 3 = 97 (iii) 57 + 89 = 146 We can use addition without carrying but it is easier to use addition with grouping (56 + 1) + 89 = 56 + 90 = 146 (iv) 340 + 30 + 40 We can use addition by grouping 40 × 2 + 30 = 80 + 30 = 110 110 + 300 = 410Read More - Math Games for Kids: Fun Ways to Learn Math
Question 2: Calculate mentally:
(i) 12 – 8
(ii) 17 – 9
(iii) 294 – 189
(iv) 34 – 27
(v) 2378 – 1876
Solution:
(i) 12 – 8 = 4 We use the trick to subtract a single-digit number from a teen number. 10 – 8 = 2 2 + 2 = 4 (ii) 17 – 9 = 8 We use the trick to subtract a single-digit number from a teen number. 10 – 9 = 1 7 + 1 = 4 (iii) 294 – 189 = 105 We shall use the technique of subtraction without borrowing 94 – 89 = 5 (Use subtraction by rounding) ∴ 234 – 189 = 105 (iv) 34 – 27 = 7 Use subtraction by rounding 34 – 30 = 4 ∵ 27 + 3 = 30 ∴ 4 + 3 = 7Question 3: Calculate mentally:
(i) 248 – 25 + 87
(ii) 305 + 45 + 23
(iii) 820 + 23 – 20
Solution:
(i) 248 – 25 + 87 = 310 Step I: 248 + 87 = 245 + 90 = 200 + (90 + 45) = 200 + 135 = 335 Step II: 335 – 25 = 310 (ii) 305 + 45 + 23 = 373 300 + (45 + 5) = 350 350 + 20 = 370 370 + 3 = 373 (iii) 820 + 23 – 20 = 823 23 – 20 = 3 820 + 3 = 823Multiplication Tricks:
- Multiplication by distributivity: Suppose we have to multiply 27 × 8 = (20 + 7) × 8
- Multiplication with number ending with 5: This technique can be used when multiplying number by a number ending with 5(15, 25, 35, …)
- Multiplication with 11: Suppose 23 × 11
- Multiplication of any number by 50: Just half the number and multiply it by 100.
Question 4: Calculate mentally:
(i) 14 × 11
(ii) 98 × 11
(iii) 47 × 11
(iv) 456 × 11
Solution:
(i) 14 × 11 = 154 Caluclate like this, 14 × 11 = 1(1+4)4. (ii) 98 × 11 = 1078 Since, 9(9+8)8 = 9(17)8 = 1078 1 of 17 is carried over to 9, 9 + 1 = 10. (iii) 47 × 11 = 517 Since, 4(4+7)7 = 4(11)7 = 517 1 of 11 is carried over to 4, 4 + 1 = 5. (iv) 456 × 11 = 5016 Just add 4560 + 456 = 5016.Question 5: Calculate mentally:
(i) 26 × 25
(ii) 35 × 17
(iii) 46 × 15
(iii) 154 × 25
Solution:
(i) 26 × 25 = 650 Half 26 and double 25, 13 × 50 Now, 13/2 = 6.5 and 6.5 × 100 = 650. (ii) 35 × 17 = 595 Half 17 and double 35, so that we get 8.5 × 70 Simply calculate 85 × 7 = (80 + 5) × 7 = 560 + 35 = 595. (iii) 46 × 15 = 690 Half 46 and double 15, so that we get 23 × 30 = 690. (iv) 154 × 25 = 3850 Half 154 and double 50, so that we get 77 × 50 Then, 77/2 × 100 = 38.5 × 100 = 3850. Few Division Tricks: Division with 2: Its easy to divide any number by 2 when its even, but it is odd, do the following: For example: 77 ÷ 2, now 77 is an odd number, Step I: take 77 – 1 = 76 Step II: half 76, 76 ÷ 2 = 38 Step III: place a .5 after 38, therefore 77 ÷ 2 = 38.5 Division by factor 10, 100, 1000, …: For example, 541 ÷ 25 Now 25 × 4 = 100 ⇒ 25 = 100/4, to find 541 ÷ 25 Step I: 541 × 4 = 2164 Step II: 2164/100 = 21.64 Similarly, to divide with 5, multiply the number by 2/10, to to divide with 125, multiply the number by 8/1000, and so on. Division by 75: Multiply the number by 4/3 then divide it by 100.Question 6: Calculate mentally:
(i) 387 ÷ 2
(ii) 8761 ÷ 2
(iii) 47 ÷ 2
(iv) 91 ÷ 2
Solution:
(i) 387 ÷ 2 = 193.5 386 ÷ 2 = 193 ∴ 387 ÷ 2 = 193.5 (ii) 8761 ÷ 2 = 4380.5 (iii) 47 ÷ 2 = 23.5 (iv) 91 ÷ 2 = 45.5Question 7: Calculate:
(i) 234 ÷ 25
(ii) 827 ÷ 5
(iii) 1356 ÷ 125
(iv) 187 ÷ 50
Solution:
(i) 234 ÷ 25 = 9.36 Step I: 234 × 4 = 936 Step II: 936/100 = 9.36 (ii) 827 ÷ 5 = 165.4 Step I: 827 × 2 = 1654 Step II: 1654/10 = 165.4 (iii) 1356 ÷ 125 = 10.848 Step I: 1356 × 8 = 10848 Step II: 10848/1000 = 10.848 (iv) 187 ÷ 50 = 3.74 Step I: 187 × 2 = 374 Step II: 374/100 = 3.74Question 8: Calculate the following:
(i) 282 ÷ 75
(ii) 45 ÷ 75
(iii) 351 ÷ 75
Solution:
(i) 281 ÷ 75 = 3.76 Step I: 282 ÷ 3 = 94 Step II: 94 × 4 = 376 Step III: 376 ÷ 100 = 3.76 (ii) 45 ÷ 75 Step I: 45 ÷ 3 = 15 Step II: 15 × 4 = 60 Step III: 60 ÷ 100 = 0.6 (iii) 351 ÷ 75 Step I: 351 ÷ 3 = 117 Step II: 117 × 4 = 468 Step III: 468 ÷ 100 = 4.68Percentages Tricks:
- Convert any fraction in percentage: For any given fraction, multiply the numerator by 100, then divide the denominator.
- Percentage of any number: Just multiply both the numbers by 10, then multiply those numbers. For example, 30% of 75
Question 9: Convert the following into percentages:
(i) 3.4/17 (ii) 18/50 (iii) 29/45
Solution:
(i) 3.4/17 = 20% Step I: 3.4 × 100 = 340 Step II: 340/17 = 20% (ii) 18/50 = 360% Step I: 18 × 100 = 1800 Step II: 1800/50 = 36% (iii) 29/45 = 64.44% (approx) Step I: 29 × 100 = 2900 Step II: 2900/45 = 64.44Question 10: Evaluate the following:
(i) 7% of 250 (ii) 16% of 45
Solution:
(i) 7% of 250 = 17.5 Step I: 7/10 = 0.7 and 250/10 = 25.0 Step II: 0.7 × 25 = 17.5 = 17.5 (ii) 16% of 45 = 7.2 Step I: 16/10 = 1.6 and 45/10 = 4.5 Step II: 1.6 × 4.5 = 7.2Practice Questions on Mental Maths
Here are some practice questions on mental maths along with their solutions to help enhance your calculation skills: 1. Calculate mentally: (i) 2896 + 386 (ii) 345 + 90 (iii) 347 – 94 (iv) 12 – 34 + 4 (v) 267 – 56 – 32 (vi) 11 × 234 (vii) 25 × 116 (viii) 567 ÷ 2 (ix) 1947 ÷ 2 (x) 239 ÷ 25 2. Convert the following into percentages: (i) 38/7 (ii) 65/8 (iii) 45/3 3. Evaluate the following: (i) 12% of 225 (ii) 11% of 200Benefits of Mental Maths Questions
- Faster Calculations: Practicing mental maths helps students calculate quickly which is useful during exams.
- Increased Confidence: Successfully solving mental maths questions boosts students confidence in their math skills.
- Improved Number Sense: Regular practice helps students understand numbers better and see how they relate to each other.
- Greater Independence: Mental maths allows students to solve problems on their own without using calculators.
- Enhanced Focus: Doing mental calculations requires attention which can improve overall focus in studies.
- Preparation for Advanced Maths: Mastering mental maths lays a strong foundation for learning more complex math topics later.
- Better Time Management: Practicing mental maths helps students manage their time better during tests.
- Fun Learning: Mental maths can be turned into games or challenges making it enjoyable for students.
About CuriousJr Mental Maths Classes
At CuriousJr, part of PhysicsWallah, we provide special mental maths classes to help students improve their problem-solving skills. Our program includes over 50 strategies that make calculations faster and more accurate. In our classes, we focus on building logical reasoning and critical thinking skills which help students solve complex problems easily. By joining our CuriousJr classes students not only learn to tackle challenging tasks but also strengthen their overall thinking abilities. This boosts their confidence and allows them to achieve more in less time making math learning fun and rewarding.Mental Maths Questions FAQs
What are mental maths questions?
Mental maths questions are arithmetic problems that can be solved in your head without the use of a calculator or paper. They often involve basic operations like addition, subtraction, multiplication and division.
Why is mental maths important?
Mental maths helps improve calculation speed, boosts confidence, enhances problem-solving skills and develops a better understanding of numbers. It is useful in daily life, particularly in situations that require quick calculations.
How can I practice mental maths?
You can practice mental maths through exercises, games, puzzles and quizzes.
What age group is mental maths suitable for?
Mental maths can be practiced by students of all ages, starting from young children learning basic arithmetic to older students and adults looking to improve their calculation skills.
How can I improve my mental maths skills?
Regular practice, breaking down problems into smaller steps, and using techniques like estimation can help improve your mental maths skills.
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