A Square and A Cube: Practice 2

Section A: Core Practice

Question 1mcq

Riya only checks the unit digit of

238

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

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

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

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

D.The unit digit test is never useful.

Question 2mcq

What is

\sqrt{225}

?

A.

225

B.

14

C.

16

D.

15

Question 3mcq

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 4mcq

A solid cube has

6

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

A.

222

unit cubes

B.

216

unit cubes

C.

36

unit cubes

D.

36

unit cubes

Question 5mcq

What is

\sqrt[3]{64}

?

A.

3

B.

16

C.

5

D.

4

Question 6mcq

A school wants to arrange students in a square formation with

9

students in each row. How many students are needed?

A.

729

students

B.

36

students

C.

81

students

D.

72

students

Section B: Reasoning and Application

Question 7mcq

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 8mcq

A teacher asks students to find

21^2

without a calculator. What is the value?

A.

462

B.

42

C.

441

D.

440

Question 9mcq

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

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

D.The unit digit test is never useful.

Question 10mcq

What is

\sqrt{225}

?

A.

14

B.

16

C.

225

D.

15

Question 11mcq

Between which two consecutive whole numbers does

\sqrt{120}

lie?

A.Exactly at

10

B.Between

11

and

12

C.Between

9

and

10

D.Between

10

and

11

Question 12mcq

A solid cube has

6

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

A.

222

unit cubes

B.

36

unit cubes

C.

216

unit cubes

D.

36

unit cubes