50081

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

584

Question

Blart has a device that counts his steps each day.

He aims to complete 10 000 steps each day.

The fraction of steps he has completed toward his target one day is  670010 000\dfrac{6700}{10\ 000}.

What percentage of steps does Blart need to complete to reach his target?

Worked Solution

Steps completed = 6700 ÷ 10 000 = 0.67

∴\therefore Percentage of steps to complete

= 1 − 0.67
= 0.33
= 33%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Blart has a device that counts his steps each day. He aims to complete 10 000 steps each day. The fraction of steps he has completed toward his target one day is  $\dfrac{6700}{10\ 000}$. What percentage of steps does Blart need to complete to reach his target?
workedSolution
Steps completed = 6700 ÷ 10 000 = 0.67
$\therefore$ Percentage of steps to complete
> > \= 1 − 0.67\ > > = 0.33\ > > = {{{correctAnswer}}}
correctAnswer
33%

Answers

Is Correct?Answer
x

0.33%

x

0.67%

✓

33%

x

67%

Variant 1

DifficultyLevel

583

Question

Anna's smart watch records the kilometres she runs in her morning training session.

Her aim is to complete 10 kilometres in today's session.

The fraction of kilometres she has completed toward today's target is  8.510\dfrac{8.5}{10}.

What percentage of kilometres does Anna need to complete to reach her target?

Worked Solution

Kilometres completed = 8.5 ÷ 10 = 0.85

∴\therefore Percentage of kilometres to complete

= 1 − 0.85
= 0.15
= 15%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Anna's smart watch records the kilometres she runs in her morning training session. Her aim is to complete 10 kilometres in today's session. The fraction of kilometres she has completed toward today's target is  $\dfrac{8.5}{10}$. What percentage of kilometres does Anna need to complete to reach her target?
workedSolution
Kilometres completed = 8.5 ÷ 10 = 0.85
$\therefore$ Percentage of kilometres to complete
> > \= 1 − 0.85\ > > = 0.15\ > > = {{{correctAnswer}}}
correctAnswer
15%

Answers

Is Correct?Answer
x

85%

✓

15%

x

0.85%

x

0.15%

Variant 2

DifficultyLevel

586

Question

Julian has a device that counts his steps each day.

He aims to complete 5 000 steps each day.

The fraction of steps he has completed toward his target one day is  24005000\dfrac{2400}{5000}.

What percentage of steps does Julian need to complete to reach his target?

Worked Solution

Steps completed = 2400 ÷ 5000 = 0.48

∴\therefore Percentage of steps to complete

= 1 − 0.48
= 0.52
= 52%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Julian has a device that counts his steps each day. He aims to complete 5 000 steps each day. The fraction of steps he has completed toward his target one day is  $\dfrac{2400}{5000}$. What percentage of steps does Julian need to complete to reach his target?
workedSolution
Steps completed = 2400 ÷ 5000 = 0.48
$\therefore$ Percentage of steps to complete
> > \= 1 − 0.48\ > > = 0.52\ > > = {{{correctAnswer}}}
correctAnswer
52%

Answers

Is Correct?Answer
✓

52%

x

48%

x

0.52%

x

0.48%

Variant 3

DifficultyLevel

594

Question

Shakespeare is writing a new play.

He aims to write 25 000 words per day.

The fraction of words he has completed toward his target one day is  17 58025 000\dfrac{17\ 580}{25\ 000}.

What percentage of words does Shakespeare need to complete to reach his target?

Worked Solution

Words completed = 17 580 ÷ 25 000 = 0.7032

∴\therefore Percentage of words to complete

= 1 − 0.7032
= 0.2968
= 29.68%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Shakespeare is writing a new play. He aims to write 25 000 words per day. The fraction of words he has completed toward his target one day is  $\dfrac{17\ 580}{25\ 000}$. What percentage of words does Shakespeare need to complete to reach his target?
workedSolution
Words completed = 17 580 ÷ 25 000 = 0.7032
$\therefore$ Percentage of words to complete
> > \= 1 − 0.7032\ > > = 0.2968\ > > = {{{correctAnswer}}}
correctAnswer
29.68%

Answers

Is Correct?Answer
✓

29.68%

x

35%

x

65%

x

70.32%

Variant 4

DifficultyLevel

596

Question

Ford is a car salesman.

He aims to sell $270 000 worth of cars each month.

The fraction of sales he has completed toward his target this month is  201 987270 000\dfrac{201\ 987}{270\ 000}.

What percentage of sales does Ford need to complete to reach his target this month?

Worked Solution

Sales achieved = 201 987 ÷ 270 000 = 0.7481

∴\therefore Percentage of sales to complete

= 1 − 0.7481
= 0.2519
= 25.19%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Ford is a car salesman. He aims to sell $270 000 worth of cars each month. The fraction of sales he has completed toward his target this month is  $\dfrac{201\ 987}{270\ 000}$. What percentage of sales does Ford need to complete to reach his target this month?
workedSolution
Sales achieved = 201 987 ÷ 270 000 = 0.7481
$\therefore$ Percentage of sales to complete
> > \= 1 − 0.7481\ > > = 0.2519\ > > = {{{correctAnswer}}}
correctAnswer
25.19%

Answers

Is Correct?Answer
x

20.20%

✓

25.19%

x

74.81%

x

79.8%

Variant 5

DifficultyLevel

581

Question

A factory produces electronic components.

The expected number of components produced each shift is 1500.

The fraction of components produced in a shift is 10501500\dfrac{1050}{1500}.

What percentage of components does the factory need to complete to reach the target?

Worked Solution

Components completed = 1050 ÷ 1500 = 0.7

∴\therefore Percentage of components to complete

= 1 − 0.7
= 0.3
= 30%

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A factory produces electronic components. The expected number of components produced each shift is 1500. The fraction of components produced in a shift is $\dfrac{1050}{1500}$. What percentage of components does the factory need to complete to reach the target?
workedSolution
Components completed = 1050 ÷ 1500 = 0.7
$\therefore$ Percentage of components to complete
> > \= 1 − 0.7\ > > = 0.3\ > > = {{{correctAnswer}}}
correctAnswer
30%

Answers

Is Correct?Answer
x

0.30%

x

0.70%

✓

30%

x

70%

Tags

  • ms_ca