Mental Maths worksheet for class 10 is an educational resource designed to help students improve their mental arithmetic skills. It is a comprehensive collection of arithmetic problems and questions that require students to solve problems quickly and accurately in their heads, without the use of a calculator or other mathematical tools.

The worksheet covers a wide range of mathematical topics including addition, subtraction, multiplication, division, square roots, and more. The problems are designed to be challenging yet achievable and are meant to help students develop their mental math skills, build their confidence and increase their speed and accuracy in solving arithmetic problems.

This Mental Maths worksheet is a great resource for students who are preparing for their final exams or for anyone who wants to improve their mental arithmetic skills. It is also a useful tool for teachers, who can use it to supplement their lessons and help their students practice and build their mental math skills.

## Mental Maths Worksheet for Class 10

**1. What is the sum of all real numbers?**

a) Infinity

b) Undefined

c) Zero

d) -Infinity

**Answer**: b) Undefined

**2. The circumference of a circle whose radius is 21 cm, is:**

a) 100 cm

b) 123 cm

c) 132 cm

d) 144 cm

**Answer**: c) 132 cm

**3. What is the volume of a sphere with radius 2?**

a) 32/3 π

b) 8/3 π

c) 4/3 π

d) 16/3 π

**Answer**: a) 32/3 π

**4. What is the surface area of a cylinder with a height 5 and a radius 3?**

a) 48 π

b) 42 π

c) 47 π

d) 36 π

**Answer**: a) 48 π

**5. What is the length of the circumference of a circle with a radius 4?**

a) 24 π

b) 16 π

c) 8 π

d) 12 π

**Answer**: c) 8 π

**6. What is the circumference of the circle if the longest chord of the circle is 4 cm?**

a) 12.56 cm

b) 13.2 cm

c) 13.92 cm

d) 14.2 cm

**Answer**: a) 12.56 cm

**7. What is the sum of the first 10 natural numbers?**

a) 55

b) 50

c) 45

d) 60

**Answer**: a) 55

**8. The probability of an event happening is 0.6. What is the probability of the event not happening?**

a) 0.4

b) 0.6

c) 0.9

d) 0.1

**Answer**: a) 0.4

**9. What is the degree of the polynomial 2x ^{3} + 4x^{2} - 6x + 9?**

a) 3

b) 4

c) 5

d) 6

**Answer**: a) 3

**10. The equation 2x + 3 = 7 has what value of x?**

a) 1

b) 2

c) 4

d) -1

**Answer**: b) 2

**11. What is the value of x in equation x ^{2} + 4x - 5 = 0?**

a) -1, 5

b) -5, 2

c) -1, 5

d) 1, 5

**Answer**: c) -1, 5

**12. What is the common difference in the arithmetic progression 10, 13, 16, 19, ...?**

a) 3

b) 4

c) 5

d) 6

**Answer**: a) 3

**13. What is the value of the square root of 64?**

a) 8

b) 4

c) 6

d) 2

**Answer**: a) 8

**14. What is the formula for the area of a circle?**

a) πr^{2}

b) πd^{2}

c) πr

d) 2πr

**Answer**: a) πr^{2}

**15. What is the value of √9?**

a) 3

b) 9

c) 6

d) 1

**Answer**: a) 3

### Solve

**1. If the length of a rectangular field is 15m and the width is 8m, what is the area of the field?**

a) 120 m^{2}

b) 123 m^{2}

c) 124 m^{2}

d) 125 m^{2}

**2. The circumference of a circle is 22cm. What is the diameter of the circle?**

a) 7 cm

b) 14 cm

c) 21 cm

d) 28 cm

**3. If the cost of 8 pens is Rs. 24, what is the cost of 20 pens?**

a) Rs. 60

b) Rs. 80

c) Rs. 120

d) Rs. 150

**4. If a man travels at a speed of 60km/hour, how long will it take him to cover a distance of 240km?**

a) 4 hours

b) 6 hours

c) 8 hours

d) 10 hours

**5. If the selling price of an article is Rs. 720 and the profit is 20%, what is the cost price of the article?**

a) Rs. 576

b) Rs. 600

c) Rs. 648

d) Rs. 700

**6. If the volume of a cube is 343cm ^{3}, what is the length of each side of the cube?**

a) 7 cm

b) 14 cm

c) 21 cm

d) 28 cm**7.If the perimeter of a square is 40cm, what is the length of each side of the square?**

a) 8 cm

b) 10 cm

c) 12 cm

d) 14 cm

**8. If the area of a triangle is 24 cm ^{2} and the height is 6cm, what is the base of the triangle?**

a) 2 cm

b) 6 cm

c) 8 cm

d) 16 cm

**9. If the ratio of the length to the breadth of a rectangle is 3:2 and the perimeter is 50cm, what is the length of the rectangle?**

a) 12 cm

b) 15 cm

c) 18 cm

d) 20 cm

**10. If the discount on an article is 20% and the selling price is Rs. 960, what is the marked price of the article?**

a) Rs. 800

b) Rs. 960

c) Rs. 1200

d) Rs. 1500

### Answers

**1.** a) 120 m**2.** b) 14 cm**3.** b) Rs. 80**4.** b) 6 hr**5.** b) 600**6.** a) 7 cm**7.** b) 10 cm**8.** c) 8 cm**9.** b) 15 cm**10.** c) Rs. 1200

## Mental Maths Worksheet PDF for Class 10

Mental Maths worksheet PDF for class 10 is available here to build students’ foundation for advanced Math concepts. At this stage, strengthening Mental Maths skills become important for students as they are in a race of competing for various competitions.

This Mental Maths worksheet for class 10 provides a variety of questions that help students practice Mental Maths skills, improve their speed and accuracy, and build their confidence in solving problems.

For regular practice, Mental Maths worksheet for class 10 can be freely downloaded from here. It gives access to students to improve their problem-solving skills, enhance their analytical thinking and strengthen their mathematical abilities.

Furthermore, Mental Maths worksheet for class 10 is a great tool for revision and to acquire the information, one can easily go through the link given below:

Download PDF for Mental Maths Worksheet for Class 10