Here's the complete solution to
Worksheet-1: Square and Square Root, with explanations for each question.
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✔ Multiple-Choice Questions – Solutions & Explanations
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(1) The square of 5 is:
→
Square means multiplying the number by itself:
5 × 5 =
25
✔ Correct Answer:
(B) 25
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(2) The square of 6 is:
6 × 6 =
36
✔ Correct Answer:
(B) 36
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(3) The square of 9 is:
9 × 9 =
81
✔ Correct Answer:
(A) 81
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(4) The square of 15 is:
15 × 15 = (10 + 5)² = 100 + 100 + 25 =
225
✔ Correct Answer:
(D) 225
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(5) The square of 17 is:
17 × 17 = (10 + 7)² = 100 + 140 + 49 =
289
✔ Correct Answer:
(C) 289
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(6) The square of 19 is:
19 × 19 = (20 - 1)² = 400 - 40 + 1 =
361
✔ Correct Answer:
(B) 361
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(7) The square of 21 is:
21 × 21 = (20 + 1)² = 400 + 40 + 1 =
441
✔ Correct Answer:
(C) 441
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(8) The square of 56 is:
56 × 56 = (50 + 6)² = 2500 + 600 + 36 =
3136
✔ Correct Answer:
(A) 3136
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(9) The square of 33 is:
33 × 33 = (30 + 3)² = 900 + 180 + 9 =
1089
✔ Correct Answer:
(C) 1089
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(10) The square root of 49 is:
→ Square root means: what number multiplied by itself gives 49?
7 × 7 = 49 → So, √49 =
7
*(Note: While -7 is also a square root mathematically, in elementary worksheets like this, they usually expect the
principal (positive) square root.)*
✔ Correct Answer:
(D) 7
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(11) The square root of 64 is:
8 × 8 = 64 → √64 =
8
✔ Correct Answer:
(D) 8
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(12) The square root of 81 is:
9 × 9 = 81 → √81 =
9
✔ Correct 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 |
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✔ Total Score: 12/12 — Perfect!
Let me know if you’d like a printable version or more practice worksheets! 😊
Parent Tip: Review the logic above to help your child master the concept of square root worksheet grade 8.
