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Quiz Chapter 3: Squares, Square Roots, Cubes and Cube Roots

10 questions · Form 1 Mathematics Bab 3: Squares, Square Roots, Cubes and Cube Roots

Question 1 of 10Score: 0

Which of the following statements is TRUE?

Full Question List & Answer Key

Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.

1. Which of the following statements is TRUE?

  1. The cube root of a negative number is always negative
  2. The square root of any number can be negative in standard principal root evaluation
  3. All even numbers are perfect squares
  4. The square of a negative number is negative
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Answer: A

By definition, the product of three negative numbers remains negative, so ∛(-a) is always negative.

2. Calculate: (√(16) x ∛(-8))2

  1. 64
  2. -64
  3. 16
  4. -16
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Answer: A

√(16) = 4 and ∛(-8) = -2. Inside bracket: 4 x (-2) = -8. Then (-8)2 = 64.

3. What is the value of (-7)2?

  1. 49
  2. -49
  3. 14
  4. -14
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Answer: A

(-7)2 = (-7) x (-7) = 49. The square of any negative number is always positive.

4. Calculate the value of 0.42.

  1. 0.16
  2. 1.6
  3. 0.08
  4. 0.8
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Answer: A

0.4 x 0.4 = 0.16.

5. Find the value of (∛(125))2.

  1. 25
  2. 15
  3. 5
  4. 125
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Answer: A

∛(125) = 5. Then 52 = 25.

6. Calculate: 32 + ∛(27)

  1. 12
  2. 15
  3. 18
  4. 9
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Answer: A

32 = 9 and ∛(27) = 3. Thus, 9 + 3 = 12.

7. What is the value of (-3)3?

  1. -27
  2. 27
  3. -9
  4. 9
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Answer: A

(-3)3 = (-3) x (-3) x (-3) = -27. Cubing a negative number yields a negative result.

8. A square garden has an area of 169 m2. What is the length of one side of the garden?

  1. 13 m
  2. 14 m
  3. 12 m
  4. 26 m
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Answer: A

Side length = √(Area) = √(169) = 13 m.

9. Find the value of ∛(0.008).

  1. 0.2
  2. 0.02
  3. 0.002
  4. 2
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Answer: A

0.2 x 0.2 x 0.2 = 0.008, so ∛(0.008) = 0.2.

10. Estimate the value of ∛(50) to the nearest whole number.

  1. 4
  2. 3
  3. 5
  4. 6
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Answer: A

27 < 50 < 64, so ∛(27) < ∛(50) < ∛(64), which means 3 < ∛(50) < 4. Since 50 is closer to 64 than 27, ∛(50) ≈ 4.

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