A Square and A Cube: Practice 3

Section A: Core Practice

Question 1mcq

Between which two consecutive whole numbers does

\sqrt{120}

lie?

A.Between

9

and

10

B.Exactly at

10

C.Between

10

and

11

D.Between

11

and

12

Question 2mcq

A solid cube has

6

unit cubes along each edge. How many unit cubes are in the whole cube?

A.

36

unit cubes

B.

36

unit cubes

C.

222

unit cubes

D.

216

unit cubes

Question 3mcq

What is

\sqrt[3]{64}

?

A.

5

B.

16

C.

3

D.

4

Question 4mcq

A school wants to arrange students in a square formation with

9

students in each row. How many students are needed?

A.

36

students

B.

72

students

C.

729

students

D.

81

students

Question 5mcq

Which arrangement represents the square number

81

?

A.A stack of

81

cubes with unequal layers

B.A

9 \times 9

dot array

C.A

1 \times 81

row

D.A

9 \times 10

rectangle

Question 6mcq

A teacher asks students to find

21^2

without a calculator. What is the value?

A.

462

B.

441

C.

42

D.

440

Section B: Reasoning and Application

Question 7mcq

Riya only checks the unit digit of

238

. What can she conclude about whether it could be a perfect square?

A.It must be a cube, not a square.

B.Every number ending in that digit is definitely a square.

C.It cannot be a square based on the unit digit.

D.The unit digit test is never useful.

Question 8mcq

What is

\sqrt{225}

?

A.

16

B.

14

C.

225

D.

15

Question 9mcq

Between which two consecutive whole numbers does

\sqrt{120}

lie?

A.Between

9

and

10

B.Exactly at

10

C.Between

10

and

11

D.Between

11

and

12

Question 10mcq

A solid cube has

6

unit cubes along each edge. How many unit cubes are in the whole cube?

A.

36

unit cubes

B.

222

unit cubes

C.

216

unit cubes

D.

36

unit cubes

Question 11mcq

What is

\sqrt[3]{64}

?

A.

4

B.

5

C.

3

D.

16

Question 12mcq

A school wants to arrange students in a square formation with

9

students in each row. How many students are needed?

A.

36

students

B.

72

students

C.

81

students

D.

729

students