301 Moved Permanently - Free Printable
Educational worksheet: 301 Moved Permanently. Download and print for classroom or home learning activities.
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Step-by-step solution for: 301 Moved Permanently
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Show Answer Key & Explanations
Step-by-step solution for: 301 Moved Permanently
Here is the complete solution to Worksheet-1: Square and Square Root with explanations for each question.
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- Square of a number: Multiply the number by itself.
Example: \(5^2 = 5 \times 5 = 25\)
- Square root of a number: A value that, when multiplied by itself, gives the original number.
Example: \(\sqrt{49} = 7\) because \(7 \times 7 = 49\).
> ⚠️ Note: In elementary math (especially multiple-choice worksheets like this), “the square root” usually refers to the principal (positive) square root, unless otherwise specified.
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## ✔ Solutions & Explanations:
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(1) The square of 5 is:
\(5^2 = 5 \times 5 = 25\)
✔ Answer: (B) 25
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(2) The square of 6 is:
\(6^2 = 6 \times 6 = 36\)
✔ Answer: (B) 36
---
(3) The square of 9 is:
\(9^2 = 9 \times 9 = 81\)
✔ Answer: (A) 81
---
(4) The square of 15 is:
\(15^2 = 15 \times 15 = 225\)
✔ Answer: (D) 225
---
(5) The square of 17 is:
\(17^2 = 17 \times 17 = 289\)
✔ Answer: (C) 289
---
(6) The square of 19 is:
\(19^2 = 19 \times 19 = 361\)
✔ Answer: (B) 361
---
(7) The square of 21 is:
\(21^2 = 21 \times 21 = 441\)
✔ Answer: (C) 441
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(8) The square of 56 is:
\(56^2 = 56 \times 56\)
Let’s compute:
\(50^2 = 2500\), \(6^2 = 36\), and cross term \(2 \times 50 \times 6 = 600\)
So, \(56^2 = (50 + 6)^2 = 2500 + 600 + 36 = 3136\)
✔ Answer: (A) 3136
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(9) The square of 33 is:
\(33^2 = 33 \times 33\)
Compute:
\(30^2 = 900\), \(3^2 = 9\), cross term \(2 \times 30 \times 3 = 180\)
So, \(33^2 = 900 + 180 + 9 = 1089\)
✔ Answer: (C) 1089
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(10) The square root of 49 is:
\(\sqrt{49} = 7\) (since \(7 \times 7 = 49\)) — principal (positive) root
✔ Answer: (D) 7
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(11) The square root of 64 is:
\(\sqrt{64} = 8\) (since \(8 \times 8 = 64\))
✔ Answer: (D) 8
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(12) The square root of 81 is:
\(\sqrt{81} = 9\) (since \(9 \times 9 = 81\))
✔ Answer: (C) 9
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## 📝 Final Answer Key:
| Question | Correct Answer |
|----------|----------------|
| (1) | B |
| (2) | B |
| (3) | A |
| (4) | D |
| (5) | C |
| (6) | B |
| (7) | C |
| (8) | A |
| (9) | C |
| (10) | D |
| (11) | D |
| (12) | C |
---
✔ All answers are based on standard mathematical definitions taught at the elementary/middle school level.
If you’re practicing for a test or homework, this worksheet reinforces basic squares and square roots — essential for algebra readiness!
Let me know if you’d like a printable answer sheet or practice problems! 📘✨
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🔷 Concept Review:
- Square of a number: Multiply the number by itself.
Example: \(5^2 = 5 \times 5 = 25\)
- Square root of a number: A value that, when multiplied by itself, gives the original number.
Example: \(\sqrt{49} = 7\) because \(7 \times 7 = 49\).
> ⚠️ Note: In elementary math (especially multiple-choice worksheets like this), “the square root” usually refers to the principal (positive) square root, unless otherwise specified.
---
## ✔ Solutions & Explanations:
---
(1) The square of 5 is:
\(5^2 = 5 \times 5 = 25\)
✔ Answer: (B) 25
---
(2) The square of 6 is:
\(6^2 = 6 \times 6 = 36\)
✔ Answer: (B) 36
---
(3) The square of 9 is:
\(9^2 = 9 \times 9 = 81\)
✔ Answer: (A) 81
---
(4) The square of 15 is:
\(15^2 = 15 \times 15 = 225\)
✔ Answer: (D) 225
---
(5) The square of 17 is:
\(17^2 = 17 \times 17 = 289\)
✔ Answer: (C) 289
---
(6) The square of 19 is:
\(19^2 = 19 \times 19 = 361\)
✔ Answer: (B) 361
---
(7) The square of 21 is:
\(21^2 = 21 \times 21 = 441\)
✔ Answer: (C) 441
---
(8) The square of 56 is:
\(56^2 = 56 \times 56\)
Let’s compute:
\(50^2 = 2500\), \(6^2 = 36\), and cross term \(2 \times 50 \times 6 = 600\)
So, \(56^2 = (50 + 6)^2 = 2500 + 600 + 36 = 3136\)
✔ Answer: (A) 3136
---
(9) The square of 33 is:
\(33^2 = 33 \times 33\)
Compute:
\(30^2 = 900\), \(3^2 = 9\), cross term \(2 \times 30 \times 3 = 180\)
So, \(33^2 = 900 + 180 + 9 = 1089\)
✔ Answer: (C) 1089
---
(10) The square root of 49 is:
\(\sqrt{49} = 7\) (since \(7 \times 7 = 49\)) — principal (positive) root
✔ Answer: (D) 7
---
(11) The square root of 64 is:
\(\sqrt{64} = 8\) (since \(8 \times 8 = 64\))
✔ Answer: (D) 8
---
(12) The square root of 81 is:
\(\sqrt{81} = 9\) (since \(9 \times 9 = 81\))
✔ Answer: (C) 9
---
## 📝 Final Answer Key:
| Question | Correct Answer |
|----------|----------------|
| (1) | B |
| (2) | B |
| (3) | A |
| (4) | D |
| (5) | C |
| (6) | B |
| (7) | C |
| (8) | A |
| (9) | C |
| (10) | D |
| (11) | D |
| (12) | C |
---
✔ All answers are based on standard mathematical definitions taught at the elementary/middle school level.
If you’re practicing for a test or homework, this worksheet reinforces basic squares and square roots — essential for algebra readiness!
Let me know if you’d like a printable answer sheet or practice problems! 📘✨
Parent Tip: Review the logic above to help your child master the concept of square and square roots worksheet.
