20343

Question

{{scenario}}

Which combination {{question}}?

Worked Solution

Calculate each option in minutes:

{{solution}}

Variant 0

DifficultyLevel

556

Question

A television producer is designing the number and length of episodes in a new series.

Which combination gives the new series the longest screen time?

Worked Solution

Calculate each option in minutes:

10 ×\times 32 = 320 minutes

8 ×\times 45 = 360 minutes

6 ×\times 56 = 336 minutes

5 ×\times 70 = 350 minutes

∴\therefore 8 episodes of 45 minutes

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
scenario
A television producer is designing the number and length of episodes in a new series.
question
gives the new series the longest screen time
solution
10 $\times$ 32 = 320 minutes 8 $\times$ 45 = 360 minutes 6 $\times$ 56 = 336 minutes 5 $\times$ 70 = 350 minutes $\therefore$ 8 episodes of 45 minutes
correctAnswer
8 episodes of 45 minutes

Answers

Is Correct?Answer
x

10 episodes of 32 minutes

✓

8 episodes of 45 minutes

x

6 episodes of 56 minutes

x

5 episodes of 1 hour 10 minutes

Variant 1

DifficultyLevel

558

Question

A dance school is designing the number and length of dance lessons for their Learn to Dance course.

Which combination provides the longest total lesson time?

Worked Solution

Calculate each option in minutes:

8 ×\times 30 = 240 mins

6 ×\times 45 = 270 mins

5 ×\times 50 = 250 mins

4 ×\times 70 = 280 mins

∴\therefore 4 lessons of 1 hour 10 minutes

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
scenario
A dance school is designing the number and length of dance lessons for their Learn to Dance course.
question
provides the longest total lesson time
solution
8 $\times$ 30 = 240 mins 6 $\times$ 45 = 270 mins 5 $\times$ 50 = 250 mins 4 $\times$ 70 = 280 mins $\therefore$ 4 lessons of 1 hour 10 minutes
correctAnswer
4 lessons of 1 hour 10 minutes

Answers

Is Correct?Answer
x

8 lessons of 30 minutes

x

6 lessons of 45 minutes

x

5 lessons of 50 minutes

✓

4 lessons of 1 hour 10 minutes

Variant 2

DifficultyLevel

556

Question

A swim school is designing the number and length of swimming lessons for its Summer squad program.

Which combination provides the longest total lesson time for the program?

Worked Solution

Calculate each option in minutes:

10 ×\times 45 = 450 mins

8 ×\times 54 = 432 mins

7 ×\times 65 = 455 mins

6 ×\times 70 = 420 mins

∴\therefore 7 lessons of 1 hour and 5 minutes

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
scenario
A swim school is designing the number and length of swimming lessons for its Summer squad program.
question
provides the longest total lesson time for the program
solution
10 $\times$ 45 = 450 mins 8 $\times$ 54 = 432 mins 7 $\times$ 65 = 455 mins 6 $\times$ 70 = 420 mins $\therefore$ 7 lessons of 1 hour and 5 minutes
correctAnswer
7 lessons of 1 hour 5 minutes

Answers

Is Correct?Answer
x

10 lessons of 45 minutes

x

8 lessons of 54 minutes

✓

7 lessons of 1 hour 5 minutes

x

6 lessons of 1 hour 10 minutes

Variant 3

DifficultyLevel

559

Question

A guitar teacher is designing the number and length of guitar lessons she can do in one day.

Which combination gives the longest total teaching time?

Worked Solution

Calculate each option in minutes:

7 ×\times 40 = 280 mins

5 ×\times 58 = 290 mins

4 ×\times 65 = 260 mins

3 ×\times 90 = 270 mins

∴\therefore 5 lessons of 58 minutes

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
scenario
A guitar teacher is designing the number and length of guitar lessons she can do in one day.
question
gives the longest total teaching time
solution
7 $\times$ 40 = 280 mins 5 $\times$ 58 = 290 mins 4 $\times$ 65 = 260 mins 3 $\times$ 90 = 270 mins $\therefore$ 5 lessons of 58 minutes
correctAnswer
5 lessons of 58 minutes

Answers

Is Correct?Answer
x

7 lessons of 40 minutes

✓

5 lessons of 58 minutes

x

4 lessons of 1 hour 5 minutes

x

3 lessons of 1 hour 30 minutes

Variant 4

DifficultyLevel

561

Question

A scuba diving instructor is designing the number and length of dives for her advanced diving course.

Which combination gives the longest total dive time?

Worked Solution

Calculate each option in minutes:

8 ×\times 40 = 320 mins

6 ×\times 52 = 312 mins

5 ×\times 66 = 330 mins

4 ×\times 71 = 284 mins

∴\therefore 5 lessons of 1 hour and 6 minutes

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
scenario
A scuba diving instructor is designing the number and length of dives for her advanced diving course.
question
gives the longest total dive time
solution
8 $\times$ 40 = 320 mins 6 $\times$ 52 = 312 mins 5 $\times$ 66 = 330 mins 4 $\times$ 71 = 284 mins $\therefore$ 5 lessons of 1 hour and 6 minutes
correctAnswer
5 dive lessons of 1 hour 6 minutes

Answers

Is Correct?Answer
x

8 dive lessons of 40 minutes

x

6 dive lessons of 52 minutes

✓

5 dive lessons of 1 hour 6 minutes

x

4 dive lessons of 1 hour 11 minutes