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Mathematics · Self Assessment

Practice Test: Powers & Roots

A 100-mark paper covering "Squares, Square Roots, Cubes & Cube Roots" and "Exponents & Powers: The Laws of Indices" — multiple choice, true/false, fill-in-the-blank, column matching, and short answer, all auto-graded instantly.

EDUSAMBAM Editorial Team · 45 questions · 100 marks · Instant self-assessment

Questions

100

Marks

Sections

100%

Auto-Graded

Section	Questions	Marks Each	Total
A — Multiple Choice	15	2	30
B — True / False	10	2	20
C — Fill in the Blank	10	2	20
D — Column Matching	5 pairs	2	10
E — Short Answer	5	4	20
Total	45	—	100

Fill-in-the-blank and short-answer questions are checked automatically against accepted answers — exact wording doesn't need to match, but the key term should be present.

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Section A — Multiple Choice

30 marks

15 questions · 2 marks each.

1.The square of a number is the number multiplied by:Basic2 pts

A. Itself once

B. Zero

C. 10

D. Its reciprocal

2.What is the square of 5?Basic2 pts

A. 10

B. 15

C. 25

D. 55

3.The square root of a number is:Basic2 pts

A. A value that, when multiplied by itself, gives the original number

B. Always the number divided by 2

C. Always negative

D. Always larger than the original number

4.What is the square root of 49?Basic2 pts

A. 6

B. 7

C. 8

D. 24.5

5.The cube of a number is the number multiplied by itself:Basic2 pts

A. Once

B. Twice (three times total)

C. Zero times

D. Ten times

6.What is the cube of 2?Basic2 pts

A. 4

B. 6

C. 8

D. 9

7.The cube root of a number is:Basic2 pts

A. A value that, when multiplied by itself three times, gives the original number

B. Always equal to the square root

C. Always negative

D. Always equal to the number itself

8.What is the cube root of 27?Basic2 pts

A. 2

B. 3

C. 9

D. 13.5

9.An exponent tells you:Basic2 pts

A. How many times to multiply a base number by itself

B. How many times to divide

C. The color of the number

D. The square root only

10.In the expression 3^4, the number 4 is called the:Basic2 pts

A. Base

B. Exponent

C. Root

D. Coefficient

11.In the expression 3^4, the number 3 is called the:Basic2 pts

A. Exponent

B. Base

C. Power result

D. Root

12.According to the laws of indices, when multiplying powers with the same base, you should:Basic2 pts

A. Add the exponents

B. Multiply the exponents

C. Subtract the exponents

D. Ignore the exponents

13.According to the laws of indices, when dividing powers with the same base, you should:Basic2 pts

A. Multiply the exponents

B. Subtract the exponents

C. Add the exponents

D. Square the exponents

14.Any non-zero number raised to the power of 0 equals:Basic2 pts

A. 0

B. 1

C. The number itself

D. Undefined

15.According to the laws of indices, raising a power to another power means you should:Basic2 pts

A. Multiply the exponents

B. Add the exponents

C. Subtract the exponents

D. Divide the exponents

Section B — True / False

20 marks

10 questions · 2 marks each.

16.The square of a number is the number multiplied by itself once.Intermediate2 pts

True

False

17.The square root of a number, when multiplied by itself, gives the original number.Intermediate2 pts

True

False

18.The cube of a number involves multiplying it by itself three times total.Intermediate2 pts

True

False

19.The cube root of 27 is 9.Intermediate2 pts

True

False

20.An exponent tells you how many times to multiply the base by itself.Intermediate2 pts

True

False

21.In the expression 5^2, the number 5 is the exponent.Intermediate2 pts

True

False

22.When multiplying powers with the same base, you add the exponents.Intermediate2 pts

True

False

23.When dividing powers with the same base, you subtract the exponents.Intermediate2 pts

True

False

24.Any non-zero number raised to the power of 0 equals 1.Intermediate2 pts

True

False

25.Raising a power to another power means you should add the exponents.Intermediate2 pts

True

False

Section C — Fill in the Blank

20 marks

10 questions · 2 marks each. Type the missing word or term.

26.Multiplying a number by itself once gives you its ______.Intermediate2 pts

27.A value that, when multiplied by itself, gives the original number is called a ______ root.Intermediate2 pts

28.Multiplying a number by itself three times total gives you its ______.Intermediate2 pts

29.A value that, when multiplied by itself three times, gives the original number is called a ______ root.Intermediate2 pts

30.A small number showing how many times to multiply a base by itself is called an ______.Intermediate2 pts

31.In the expression 2^5, the number 2 is called the ______.Advanced2 pts

32.When multiplying powers with the same base, you should ______ the exponents.Advanced2 pts

33.When dividing powers with the same base, you should ______ the exponents.Advanced2 pts

34.Any non-zero number raised to the power of 0 equals ______.Advanced2 pts

35.When raising a power to another power, you should ______ the exponents.Advanced2 pts

Section D — Column Matching

10 marks

Use the ▲ ▼ buttons to reorder Column B until each row lines up with the correct term in Column A. 2 marks per correct pair.

36–40.Match each term to its correct definition.Advanced10 pts

Column A

Square

Square Root

Cube

Exponent

Base

Column B

A number multiplied by itself three times total

Shows how many times to multiply the base by itself

The number being multiplied repeatedly in a power expression

A number multiplied by itself once

A value that, multiplied by itself, gives the original number

Section E — Short Answer

20 marks

5 questions · 4 marks each. Answer in one or two sentences.

41.Explain the difference between a square and a square root.Advanced4 pts

42.What is the cube of a number, and how is it calculated?Advanced4 pts

43.Explain what an exponent tells you in an expression like 4^3.Advanced4 pts

44.State the rule for multiplying powers with the same base.Advanced4 pts

45.State the rule for dividing powers with the same base.Advanced4 pts

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