Absolutely! Let’s solve this worksheet step by step. The worksheet covers
squares,
cubes, and their respective
roots — square roots and cube roots.
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## 🟩 Part 1: Write the square or cube of each number
This section asks you to compute either the
square (number × itself) or the
cube (number × itself × itself).
1) Squares:
-
1) 13² = 13 × 13 = 169
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4) 5² = 5 × 5 = 25
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7) 48² = 48 × 48 = 2304
> 💡 Tip: You can break 48² into (50 - 2)² = 2500 - 200 + 4 = 2304
2) Cubes:
-
2) 4³ = 4 × 4 × 4 = 64
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5) 2³ = 2 × 2 × 2 = 8
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8) 3³ = 3 × 3 × 3 = 27
3) More Squares/Cubes:
-
3) 9² = 9 × 9 = 81
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6) 6³ = 6 × 6 × 6 = 216
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9) 7² = 7 × 7 = 49
✔ Answers for Part 1:
1) 169
2) 64
3) 81
4) 25
5) 8
6) 216
7) 2304
8) 27
9) 49
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## 🟦 Part 2: Write the square root of each number
Square root means: “What number, when multiplied by itself, gives this number?”
1) Perfect squares:
-
1) √16 = 4 → because 4 × 4 = 16
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4) √81 = 9 → because 9 × 9 = 81
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7) √49 = 7 → because 7 × 7 = 49
2) More perfect squares:
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2) √9 = 3 → 3 × 3 = 9
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5) √1 = 1 → 1 × 1 = 1
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8) √36 = 6 → 6 × 6 = 36
3) Other square roots:
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3) √25 = 5 → 5 × 5 = 25
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6) √4 = 2 → 2 × 2 = 4
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9) √100 = 10 → 10 × 10 = 100
✔ Answers for Part 2:
1) 4
2) 3
3) 5
4) 9
5) 1
6) 2
7) 7
8) 6
9) 10
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## 🟧 Part 3: Write the cube root of each number
Cube root means: “What number, when cubed (multiplied by itself twice), gives this number?”
1) Perfect cubes:
-
1) ∛64 = 4 → because 4 × 4 × 4 = 64
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4) ∛216 = 6 → because 6 × 6 × 6 = 216
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7) ∛343 = 7 → because 7 × 7 × 7 = 343
2) More perfect cubes:
-
2) ∛1 = 1 → 1 × 1 × 1 = 1
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5) ∛8 = 2 → 2 × 2 × 2 = 8
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8) ∛0 = 0 → 0 × 0 × 0 = 0
3) Other cube roots:
-
3) ∛125 = 5 → 5 × 5 × 5 = 125
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6) ∛1,728 = 12 → 12 × 12 × 12 = 1,728
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9) ∛729 = 9 → 9 × 9 × 9 = 729
> 💡 Tip: 12³ = (10+2)³ = 1000 + 3×100×2 + 3×10×4 + 8 = 1000 + 600 + 120 + 8 = 1728
✔ Answers for Part 3:
1) 4
2) 1
3) 5
4) 6
5) 2
6) 12
7) 7
8) 0
9) 9
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##
✔ Final Answer Key:
Part 1: Square or Cube
1) 169
2) 64
3) 81
4) 25
5) 8
6) 216
7) 2304
8) 27
9) 49
Part 2: Square Root
1) 4
2) 3
3) 5
4) 9
5) 1
6) 2
7) 7
8) 6
9) 10
Part 3: Cube Root
1) 4
2) 1
3) 5
4) 6
5) 2
6) 12
7) 7
8) 0
9) 9
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## 📌 Summary & Tips:
-
Square: \( n^2 = n \times n \)
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Cube: \( n^3 = n \times n \times n \)
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Square Root: \( \sqrt{n} = x \) → where \( x^2 = n \)
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Cube Root: \( \sqrt[3]{n} = x \) → where \( x^3 = n \)
Memorizing small perfect squares (1–15) and cubes (1–10) will make these problems much faster!
Let me know if you’d like a printable version or flashcards for practice 😊
Parent Tip: Review the logic above to help your child master the concept of cubed root worksheets.
