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Mathematics for IGCSE & O level - Powers And Roots (Section 1)

1
Which operation does the symbol √ represent?
Answer
(C)
Finding the square root
2
What is the cube root of 1000?
Answer
(A)
10
3
What is the positive square root of 169?
Answer
(C)
13
4
Which of the following is equivalent to 2⁷?
Answer
(C)
128
5
What is the result of 40.84101 x 2.4²?
Answer
(C)
235.2577
6
The cube root of 1728 is:
Answer
(B)
12
7
What is the value of 2.5⁴?
Answer
(C)
39.0625
8
If a cube has a volume of 216 cm³, what is the length of one side?
Answer
(C)
6 cm
9
What is the result of 1.2³?
Answer
(B)
1.728
10
What is the cube of the integer 2?
Answer
(C)
8
11
Which of the following is a square number AND a cube number?
Answer
(D)
64
12
What is the square root of 144?
Answer
(C)
12
13
What are the two answers that must be used to get to the volume of a cube?
Answer
B
C
14
Which of the following statements are correct regarding sets P, Q, and R if Q ⊆ P, Q ∩ R = ∅, and P ∩ R ≠ ∅?
Answer
C
D
15
Which number, when cubed, equals 1?
Answer
(B)
1
16
Which of the following represents the area of a square with a side of 7?
Answer
(C)
49
17
What is the value of 4² × ³√390625?
Answer
(C)
1600
18
What operation must be performed first in the calculation 7² - 4²?
Answer
(C)
Exponentiation (Squaring)
19
What is the cube root of 64?
Answer
(A)
4
20
If n(A ∪ B) = n(C), and the Venn diagram shows n(A ∩ B) = 7, n(A) = 2x, n(B) = 5, n(C) = 8, what is x?
Answer
(A)
1.5
21
How can you write 4*4*4 using exponents?
Answer
(B)
4³
22
Which of the following is the cube of 3?
Answer
(D)
27
23
What is the result of 0.7²?
Answer
(C)
0.49
24
What set notation would you use for multiples of 12 in terms of E, T, and F (multiples of 2, 3, and 4, respectively)?
Answer
(D)
T ∩ F
25
What is the value of 25²?
Answer
(A)
625
26
What is the value of ∛27?
Answer
(A)
3
27
What is the result of 5³ - 2³?
Answer
(C)
97
28
What is ∛1?
Answer
(B)
1
29
If the area of a square is 144 cm², what is the length of one side?
Answer
(B)
12 cm
30
What is the result of the expression 3.4⁴?
Answer
(C)
133.6336
31
The side length of a cube has been measured to be 3 cm. What is the cube's volume?
Answer
(D)
27 cm³
32
If you have a square with an area of 81, what is the length of one side?
Answer
(D)
9
33
Which of these is the same as 5²?
Answer
(D)
25
34
Which operation is the inverse of squaring?
Answer
(C)
Taking the square root
35
The square root of 49 is:
Answer
(B)
7
36
What is the square of 12?
Answer
(C)
144
37
What does the square root of a number represent?
Answer
(B)
The number that, when multiplied by itself, equals the original number.
38
Which of the following is a square number?
Answer
(B)
25
39
Which key operations are typically labeled on a calculator for powers and roots?
Answer
A
B
C
D