Algebra, NAP_55066

Question

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Worked Solution

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Variant 0

DifficultyLevel

597

Question

Flame picked a total of 350 kilograms of pumpkins in 5 days.

After the first day, she picked 20 more kilograms than the previous day.

How may kilograms of pumpkins did she pick on the first day?

Worked Solution

Average kilograms per day

= 350 ÷\div 5

= 70


⇒\Rightarrow 70 will be midpoint of the 5 kilogram values


Kilograms each day were:

30, 50, 70, 90, 110


∴\therefore Kilograms of pumpkins picked on 1st day = 30

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Flame picked a total of 350 kilograms of pumpkins in 5 days. After the first day, she picked 20 more kilograms than the previous day. How may kilograms of pumpkins did she pick on the first day?
workedSolution
Average kilograms per day >= 350 $\div$ 5 >= 70
$\Rightarrow$ 70 will be midpoint of the 5 kilogram values
Kilograms each day were: >30, 50, 70, 90, 110
$\therefore$ Kilograms of pumpkins picked on 1st day = {{{correctAnswer}}}
correctAnswer
30

Answers

Is Correct?Answer
x

15

x

20

✓

30

x

70

Variant 1

DifficultyLevel

599

Question

Lenny walked a total of 400 kilometres 5 months.

For each month after the first month, she walked 30 more kilometres than the previous month.

How may kilometres did she walk in the first month?

Worked Solution

Average kilometres per month

= 400 ÷\div 5

= 80


⇒\Rightarrow 80 will be midpoint of the 5 kilometre values


kilometres walked each month were:

20, 50, 80, 110, 140


∴\therefore Kilometres walked during 1st month = 20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lenny walked a total of 400 kilometres 5 months. For each month after the first month, she walked 30 more kilometres than the previous month. How may kilometres did she walk in the first month?
workedSolution
Average kilometres per month >= 400 $\div$ 5 >= 80
$\Rightarrow$ 80 will be midpoint of the 5 kilometre values
kilometres walked each month were: >20, 50, 80, 110, 140
$\therefore$ Kilometres walked during 1st month = {{{correctAnswer}}}
correctAnswer
20

Answers

Is Correct?Answer
x

5

✓

20

x

50

x

80

Variant 2

DifficultyLevel

601

Question

Ursula did 600 burpees during a 5 day challenge at her gym.

For each day after the first day, she did 50 more burpees than the previous day.

How may burpees did she do on the first day of the challenge?

Worked Solution

Average burpees per day

= 600 ÷\div 5

= 120


⇒\Rightarrow 120 will be midpoint of the 5 burpee values


Burpees each day were:

20, 70, 120, 170, 220


∴\therefore Number of burpees on 1st day = 20

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ursula did 600 burpees during a 5 day challenge at her gym. For each day after the first day, she did 50 more burpees than the previous day. How may burpees did she do on the first day of the challenge?
workedSolution
Average burpees per day >= 600 $\div$ 5 >= 120
$\Rightarrow$ 120 will be midpoint of the 5 burpee values
Burpees each day were: >20, 70, 120, 170, 220
$\therefore$ Number of burpees on 1st day = {{{correctAnswer}}}
correctAnswer
20

Answers

Is Correct?Answer
✓

20

x

50

x

120

x

300

Variant 3

DifficultyLevel

602

Question

Morris ran 400 kilometres during a 5 week challenge at his gym.

For each week after the first week, he ran 15 more kilometres than he had run the previous week.

How may kilometres did he run during the second week?

Worked Solution

Average kilometres per week

= 400 ÷\div 5

= 80


⇒\Rightarrow 80 will be midpoint of the 5 kilometre values


Kilometres each week were:

50, 65, 80, 95, 110


∴\therefore Kilometres run during 2nd week = 65

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Morris ran 400 kilometres during a 5 week challenge at his gym. For each week after the first week, he ran 15 more kilometres than he had run the previous week. How may kilometres did he run during the second week?
workedSolution
Average kilometres per week >= 400 $\div$ 5 >= 80
$\Rightarrow$ 80 will be midpoint of the 5 kilometre values
Kilometres each week were: >50, 65, 80, 95, 110
$\therefore$ Kilometres run during 2nd week = {{{correctAnswer}}}
correctAnswer
65

Answers

Is Correct?Answer
x

15

x

50

✓

65

x

80

Variant 4

DifficultyLevel

603

Question

Keigan rode 800 kilometres during a 5 week cycling challenge.

For each week after the first week, he rode 30 more kilometres than he had run the previous week.

How may kilometres did he ride during the fifth week?

Worked Solution

Average kilometres per week

= 800 ÷\div 5

= 160


⇒\Rightarrow 160 will be midpoint of the 5 kilometre values


Kilometres each week were:

100, 130, 160, 190, 220


∴\therefore Kilometres run during 5th week = 220

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Keigan rode 800 kilometres during a 5 week cycling challenge. For each week after the first week, he rode 30 more kilometres than he had run the previous week. How may kilometres did he ride during the fifth week?
workedSolution
Average kilometres per week >= 800 $\div$ 5 >= 160
$\Rightarrow$ 160 will be midpoint of the 5 kilometre values
Kilometres each week were: >100, 130, 160, 190, 220
$\therefore$ Kilometres run during 5th week = {{{correctAnswer}}}
correctAnswer
220

Answers

Is Correct?Answer
x

100

x

160

x

190

✓

220

Variant 5

DifficultyLevel

604

Question

Kirrily baked a total of 500 cookies in 5 days.

Each day after the first day, she baked 20 more cookies than the previous day.

How may cookies did she bake on the fourth day?

Worked Solution

Average cookies per day

= 500 ÷\div 5

= 100


⇒\Rightarrow 100 will be midpoint of the 5 cookie values


Cookies each day were:

60, 80, 100, 120, 140


∴\therefore Cookies baked on 4th day = 120

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Kirrily baked a total of 500 cookies in 5 days. Each day after the first day, she baked 20 more cookies than the previous day. How may cookies did she bake on the fourth day?
workedSolution
Average cookies per day >= 500 $\div$ 5 >= 100
$\Rightarrow$ 100 will be midpoint of the 5 cookie values
Cookies each day were: >60, 80, 100, 120, 140
$\therefore$ Cookies baked on 4th day = {{{correctAnswer}}}
correctAnswer
120

Answers

Is Correct?Answer
x

25

x

80

x

100

✓

120

Tags

  • staging_suejones