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Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1 PDF Download

Section A: Understanding Square Numbers

A square number is the result of multiplying a number by itself. 

Q: Complete the table below to find the squares of numbers from 1 to 10.
Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1

Ans:
Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1
 

Section B: Find the Square Roots

Q: Write the square roots here:

  1. √64 = ______
  2. √100 = ______
  3. √49 = ______
  4. √36 = ______
  5. √25 = ______

Ans: 

  1. √64 = 8
  2. √100 = 10
  3. √49 = 7
  4. √36 = 6
  5. √25 = 5

Section C: Understanding Cube Numbers

A cube number is the result of multiplying a number by itself three times. 

Q: Fill in the table below to find the cubes of numbers from 1 to 5.

Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1

Ans:Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1

Section D: Find the Cube Roots

Write the cube root of each number:

  1. ∛27 = ______
  2. ∛8 = ______
  3. ∛64 = ______
  4. ∛125 = ______
  5. ∛1 = ______

Ans: 

  1. ∛27 = 3
  2. ∛8 = 2
  3. ∛64 = 4
  4. ∛125 = 5
  5. ∛1 = 1

Section E: Vedic Math Trick – Squaring Numbers Ending in 5

Trick: To square a number ending in 5, multiply the first digit by the next digit and then write "25" at the end.

Example: 25 × 25 → 2 × 3 = 6 → Answer = 625

Now try:

  1. 15 × 15 = ___________
  2. 35 × 35 = ___________
  3. 45 × 45 = ___________
  4. 65 × 65 = ___________

Ans: 

  1. 15 × 15 = 225
  2. 35 × 35 = 1225
  3. 45 × 45 = 2025
  4. 65 × 65 = 4225

Section F: Square Roots and Cube Roots (Finding the Number)

1. What number times itself is 25? (Square root of 25)

Ans: 5
Pair 25 as 25. Last digit is 5, so it’s 5 (5 × 5 = 25).

2. What number times itself 3 times is 8? (Cube root of 8)

Ans: 2
Try 2: 2 × 2 = 4, 4 × 2 = 8. It fits! So, it’s 2.

3. What number times itself is 64? (Square root of 64)

Ans: 8
Pair 64 as 64. Last digit is 4, so it could be 2 (2 × 2 = 4) or 8 (8 × 8 = 64). Since it’s 64, it’s 8.

4. What number times itself 3 times is 27? (Cube root of 27)

Ans: 3
Try 3: 3 × 3 = 9, 9 × 3 = 27. It fits! So, it’s 3.

5. You have 64 blocks in a cube shape. How many blocks on each side? (Cube root of 64)

Ans: 4
Try 4: 4 × 4 = 16, 16 × 4 = 64. It fits! So, each side has 4 blocks.

The document Worksheet Solution: Square and Cube Root | Vedic Math for Junior Classes - English - Class 1 is a part of the Class 1 Course Vedic Math for Junior Classes - English.
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FAQs on Worksheet Solution: Square and Cube Root - Vedic Math for Junior Classes - English - Class 1

1. What are the basic steps to square a number?
Ans. To square a number, you simply multiply the number by itself. For example, to square 4, you calculate 4 x 4 = 16. This process can be applied to any real number.
2. How do you find the cube of a number?
Ans. To find the cube of a number, you multiply the number by itself three times. For instance, to find the cube of 3, you compute 3 x 3 x 3 = 27.
3. What is the difference between square roots and cube roots?
Ans. A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4. A cube root, on the other hand, is a value that, when multiplied by itself three times, yields the original number. For example, the cube root of 27 is 3.
4. How do you calculate the square root of a number?
Ans. To calculate the square root of a number, you can use several methods: prime factorization, estimation, or a calculator. For example, the square root of 25 is 5 because 5 x 5 = 25.
5. Can all numbers have real square roots and cube roots?
Ans. Yes, all non-negative numbers have real square roots. However, negative numbers do not have real square roots because no real number multiplied by itself can yield a negative result. All numbers (positive and negative) have real cube roots, as every number can be expressed as a cube.
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