10 questions · Form 1 Mathematics Bab 3: Squares, Square Roots, Cubes and Cube Roots
Calculate the value of ∛(-64).
Prefer reading to quizzing? All 10 questions are listed below with the answer and explanation under each one.
1. Calculate the value of ∛(-64).
Answer: A
(-4) x (-4) x (-4) = -64, so ∛(-64) = -4.
2. Calculate: √(0.09) + ∛(0.027)
Answer: A
√(0.09) = 0.3 and ∛(0.027) = 0.3. Thus, 0.3 + 0.3 = 0.6.
3. Estimate the value of √(30) to the nearest whole number.
Answer: A
25 < 30 < 36, so √(25) < √(30) < √(36), which means 5 < √(30) < 6. Since 30 is closer to 25 than 36, √(30) ≈ 5.
4. Calculate the value of 0.42.
Answer: A
0.4 x 0.4 = 0.16.
5. Find the value of (∛(125))2.
Answer: A
∛(125) = 5. Then 52 = 25.
6. What is the value of (-3)3?
Answer: A
(-3)3 = (-3) x (-3) x (-3) = -27. Cubing a negative number yields a negative result.
7. Calculate: (√(16) x ∛(-8))2
Answer: A
√(16) = 4 and ∛(-8) = -2. Inside bracket: 4 x (-2) = -8. Then (-8)2 = 64.
8. Calculate the value of √(144).
Answer: A
12 x 12 = 144, so √(144) = 12.
9. Which of the following is a perfect cube?
Answer: A
125 = 5 x 5 x 5 = 53, making 125 a perfect cube.
10. Estimate the value of ∛(50) to the nearest whole number.
Answer: A
27 < 50 < 64, so ∛(27) < ∛(50) < ∛(64), which means 3 < ∛(50) < 4. Since 50 is closer to 64 than 27, ∛(50) ≈ 4.