A Square and A Cube: Practice 4

Section A: Core Practice

Question 1mcq

What is

\sqrt[3]{64}

?

A.

5

B.

16

C.

4

D.

3

Question 2mcq

A school wants to arrange students in a square formation with

9

students in each row. How many students are needed?

A.

72

students

B.

81

students

C.

729

students

D.

36

students

Question 3mcq

Which arrangement represents the square number

81

?

A.A

9 \times 9

dot array

B.A stack of

81

cubes with unequal layers

C.A

9 \times 10

rectangle

D.A

1 \times 81

row

Question 4mcq

A teacher asks students to find

21^2

without a calculator. What is the value?

A.

441

B.

462

C.

42

D.

440

Question 5mcq

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.The unit digit test is never useful.

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

Question 6mcq

What is

\sqrt{225}

?

A.

14

B.

16

C.

225

D.

15

Section B: Reasoning and Application

Question 7mcq

Between which two consecutive whole numbers does

\sqrt{120}

lie?

A.Between

11

and

12

B.Between

10

and

11

C.Between

9

and

10

D.Exactly at

10

Question 8mcq

A solid cube has

6

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

A.

216

unit cubes

B.

222

unit cubes

C.

36

unit cubes

D.

36

unit cubes

Question 9mcq

What is

\sqrt[3]{64}

?

A.

3

B.

16

C.

4

D.

5

Question 10mcq

A school wants to arrange students in a square formation with

9

students in each row. How many students are needed?

A.

81

students

B.

36

students

C.

729

students

D.

72

students

Question 11mcq

Which arrangement represents the square number

81

?

A.A

1 \times 81

row

B.A

9 \times 9

dot array

C.A

9 \times 10

rectangle

D.A stack of

81

cubes with unequal layers

Question 12mcq

A teacher asks students to find

21^2

without a calculator. What is the value?

A.

462

B.

440

C.

42

D.

441