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Perfect Squares and Roots

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Perfect Squares and Roots worksheet preview

Perfect Squares and Roots

Perfect squares visual pattern

📚 Part 1: Perfect Squares and Square Roots

1. Which of the following are perfect square numbers?

16

25

30

49

64

2. What is √81?

8

9

10

11

3. Calculate 13² using the distributive property: 13² = (10 + 3)²
4. Fill in the missing values:

a) 7² = _____

b) √100 = _____

c) 12² = _____

d) √196 = _____

✏️ Part 2: Estimating Square Roots

5. Between which two consecutive whole numbers does √50 lie?

Between 6 and 7

Between 7 and 8

Between 8 and 9

Between 9 and 10

6. For each number, identify which two consecutive whole numbers its square root lies between:

a) √75 is between _____ and _____

b) √110 is between _____ and _____

c) √200 is between _____ and _____

7. Explain how you can estimate the square root of a non-perfect square number:

🏠 Part 3: Real-World Applications

8. A square garden has an area of 144 square metres. What is the perimeter of the garden?
9. A square-tiled bathroom floor has 225 tiles arranged in a perfect square. How many tiles are along each edge of the floor?
10. Look at the pattern of perfect squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100...

What do you notice about the differences between consecutive perfect squares? Explain the pattern you observe:

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