20301

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

564

Question

Pablo cuts a square out of a rectangular piece of paper, as shown below.



The square Pablo cut out has a side length of 6 cm.

Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (28 ×\times 20) −- (6 ×\times 6)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Pablo cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v0.svg 330 indent3 vpad
The square Pablo cut out has a side length of 6 cm. Which of these expressions gives the area of Pablo's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | | = {{{correctAnswer}}} |
correctAnswer
(28 $\times$ 20) $-$ (6 $\times$ 6)

Answers

Is Correct?Answer
✓

(28 ×\times 20) −- (6 ×\times 6)

x

(22 ×\times 14) + (6 ×\times 6)

x

(28 + 20) −- (6 + 6)

x

(28 + 20) + (6 ×\times 6)

Variant 1

DifficultyLevel

563

Question

Jacko cuts a square out of a rectangular piece of paper, as shown below.



The square Jacko cut out has a side length of 5 cm.

Which of these expressions gives the area of Jacko's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (24 ×\times 15) −- (5 ×\times 5)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Jacko cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v1.svg 310 indent3 vpad
The square Jacko cut out has a side length of 5 cm. Which of these expressions gives the area of Jacko's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | |= {{{correctAnswer}}}|
correctAnswer
(24 $\times$ 15) $-$ (5 $\times$ 5)

Answers

Is Correct?Answer
x

(10 ×\times 19) + (5 ×\times 5)

x

(24 + 15) −- (5 ×\times 5)

x

(24 + 15) + (5 ×\times 5)

✓

(24 ×\times 15) −- (5 ×\times 5)

Variant 2

DifficultyLevel

562

Question

Clint cuts a square out of a rectangular piece of paper, as shown below.



The square Clint cut out has a side length of 12 cm.

Which of these expressions gives the area of Clint's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (45 ×\times 30) −- (12 ×\times 12)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Clint cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v2.svg 330 indent3 vpad
The square Clint cut out has a side length of 12 cm. Which of these expressions gives the area of Clint's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | | = {{{correctAnswer}}} |
correctAnswer
(45 $\times$ 30) $-$ (12 $\times$ 12)

Answers

Is Correct?Answer
x

(33 ×\times 18) + (12 ×\times 12)

✓

(45 ×\times 30) −- (12 ×\times 12)

x

(45 + 30) −- (12 ×\times 12)

x

(45 + 30) + (12 ×\times 12)

Variant 3

DifficultyLevel

561

Question

Mateo cuts a square out of a rectangular piece of paper, as shown below.



The square Mateo cut out has a side length of 20 cm.

Which of these expressions gives the area of Mateo's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (90 ×\times 60) −- (20 ×\times 20)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Mateo cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v3.svg 330 indent3 vpad
The square Mateo cut out has a side length of 20 cm. Which of these expressions gives the area of Mateo's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | | = {{{correctAnswer}}} |
correctAnswer
(90 $\times$ 60) $-$ (20 $\times$ 20)

Answers

Is Correct?Answer
x

(90 + 60) + (20 ×\times 20)

x

(90 + 60) −- (20 ×\times 20)

✓

(90 ×\times 60) −- (20 ×\times 20)

x

(70 ×\times 40) + (20 ×\times 20)

Variant 4

DifficultyLevel

560

Question

Lola cuts a square out of a rectangular piece of paper, as shown below.



The square Lola cut out has a side length of 25 cm.

Which of these expressions gives the area of Lola's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (65 ×\times 49) −- (25 ×\times 25)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lola cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v4.svg 370 indent3 vpad
The square Lola cut out has a side length of 25 cm. Which of these expressions gives the area of Lola's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | | = {{{correctAnswer}}} |
correctAnswer
(65 $\times$ 49) $-$ (25 $\times$ 25)

Answers

Is Correct?Answer
x

(40 ×\times 24) + (25 ×\times 25)

x

(65 −- 49) −- (25 ×\times 25)

x

(65 + 49) −- (25 ×\times 25)

✓

(65 ×\times 49) −- (25 ×\times 25)

Variant 5

DifficultyLevel

559

Question

Leticia cuts a square out of a rectangular piece of paper, as shown below.



The square Leticia cut out has a side length of 4 cm.

Which of these expressions gives the area of Leticia's piece of paper after cutting out the square?

Worked Solution
Area = Area of larger rectangle −- Area of square
= (34 ×\times 14) −- (4 ×\times 4)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Leticia cuts a square out of a rectangular piece of paper, as shown below.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/08/Measurement_NAP-D4-NC13_v5.svg 400 indent3 vpad
The square Leticia cut out has a side length of 4 cm. Which of these expressions gives the area of Leticia's piece of paper after cutting out the square?
workedSolution
| | | | --------------------- | -------------------------------------------- | | Area | = Area of larger rectangle $-$ Area of square | | | = {{{correctAnswer}}} |
correctAnswer
(34 $\times$ 14) $-$ (4 $\times$ 4)

Answers

Is Correct?Answer
✓

(34 ×\times 14) −- (4 ×\times 4)

x

(34 + 14) −- (4 ×\times 4)

x

(34 −- 14) + (4 ×\times 4)

x

(30 ×\times 10) + (4 ×\times 4)

Tags