A Square and A Cube: Final Assessment

Section A: Concepts

Question 1mcq

Which arrangement represents the square number

25

?

A.A

1 \times 25

row

B.A stack of

25

cubes with unequal layers

C.A

5 \times 6

rectangle

D.A

5 \times 5

dot array

Question 2mcq

A teacher asks students to find

15^2

without a calculator. What is the value?

A.

240

B.

225

C.

224

D.

30

Question 3mcq

Riya only checks the unit digit of

146

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

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

B.It can be a square based on the unit digit.

C.The unit digit test is never useful.

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

Question 4mcq

What is

\sqrt{529}

?

A.

24

B.

23

C.

529

D.

22

Question 5mcq

Between which two consecutive whole numbers does

\sqrt{50}

lie?

A.Between

8

and

9

B.Exactly at

7

C.Between

7

and

8

D.Between

6

and

7

Question 6mcq

A solid cube has

4

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

A.

64

unit cubes

B.

24

unit cubes

C.

16

unit cubes

D.

68

unit cubes

Question 7mcq

What is

\sqrt[3]{216}

?

A.

7

B.

5

C.

36

D.

6

Question 8mcq

A school wants to arrange students in a square formation with

12

students in each row. How many students are needed?

A.

132

students

B.

48

students

C.

144

students

D.

1728

students

Section B: Skills

Question 9mcq

Which arrangement represents the square number

49

?

A.A

7 \times 7

dot array

B.A

7 \times 8

rectangle

C.A

1 \times 49

row

D.A stack of

49

cubes with unequal layers

Question 10mcq

A teacher asks students to find

18^2

without a calculator. What is the value?

A.

324

B.

323

C.

342

D.

36

Question 11mcq

Riya only checks the unit digit of

1111

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

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

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

C.The unit digit test is never useful.

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

Question 12mcq

What is

\sqrt{144}

?

A.

12

B.

13

C.

11

D.

144

Question 13mcq

Between which two consecutive whole numbers does

\sqrt{70}

lie?

A.Exactly at

8

B.Between

9

and

10

C.Between

8

and

9

D.Between

7

and

8

Question 14mcq

A solid cube has

5

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

A.

25

unit cubes

B.

130

unit cubes

C.

30

unit cubes

D.

125

unit cubes

Question 15mcq

What is

\sqrt[3]{343}

?

A.

6

B.

7

C.

49

D.

8

Question 16mcq

A school wants to arrange students in a square formation with

8

students in each row. How many students are needed?

A.

32

students

B.

56

students

C.

512

students

D.

64

students

Section C: Applications

Question 17mcq

Which arrangement represents the square number

81

?

A.A

9 \times 10

rectangle

B.A

9 \times 9

dot array

C.A stack of

81

cubes with unequal layers

D.A

1 \times 81

row

Question 18mcq

A teacher asks students to find

21^2

without a calculator. What is the value?

A.

462

B.

441

C.

440

D.

42

Question 19mcq

Riya only checks the unit digit of

238

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

A.The unit digit test is never useful.

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

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

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

Question 20mcq

What is

\sqrt{225}

?

A.

225

B.

14

C.

16

D.

15

Question 21mcq

Between which two consecutive whole numbers does

\sqrt{120}

lie?

A.Between

11

and

12

B.Between

9

and

10

C.Exactly at

10

D.Between

10

and

11

Question 22mcq

A solid cube has

6

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

A.

36

unit cubes

B.

216

unit cubes

C.

222

unit cubes

D.

36

unit cubes

Question 23mcq

What is

\sqrt[3]{64}

?

A.

3

B.

4

C.

16

D.

5

Question 24mcq

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.

729

students

C.

81

students

D.

72

students

Section D: Reasoning

Question 25mcq

Which arrangement represents the square number

144

?

A.A stack of

144

cubes with unequal layers

B.A

12 \times 12

dot array

C.A

1 \times 144

row

D.A

12 \times 13

rectangle

Question 26mcq

A teacher asks students to find

13^2

without a calculator. What is the value?

A.

168

B.

26

C.

169

D.

182

Question 27mcq

Riya only checks the unit digit of

729

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

A.The unit digit test is never useful.

B.It can be a square based on the unit digit.

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

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

Question 28mcq

What is

\sqrt{324}

?

A.

17

B.

18

C.

324

D.

19

Question 29mcq

Between which two consecutive whole numbers does

\sqrt{200}

lie?

A.Exactly at

14

B.Between

14

and

15

C.Between

15

and

16

D.Between

13

and

14

Question 30mcq

A solid cube has

3

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

A.

9

unit cubes

B.

30

unit cubes

C.

18

unit cubes

D.

27

unit cubes

Question 31mcq

What is

\sqrt[3]{125}

?

A.

5

B.

6

C.

4

D.

25

Question 32mcq

A school wants to arrange students in a square formation with

10

students in each row. How many students are needed?

A.

1000

students

B.

100

students

C.

40

students

D.

90

students