50083

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

620

Question

A local soccer club has 1600 fans.

At a game, one-quarter of the fans wear a yellow jersey and the rest wear red.

25% of the red jerseys have a black stripe down the back.

How many red jerseys have a black stripe?

Worked Solution
Total red jerseys\text{Total red jerseys} = 34×1600\dfrac{3}{4} \times 1600
= 1200

∴\therefore Red jerseys with black stripe
= 0.25 × 1200
= 300

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A local soccer club has 1600 fans. At a game, one-quarter of the fans wear a yellow jersey and the rest wear red. 25% of the red jerseys have a black stripe down the back. How many red jerseys have a black stripe?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total red jerseys}$ | = $\dfrac{3}{4} \times 1600$ | | | = 1200 |

$\therefore$ Red jerseys with black stripe
>>| | | --------------------- | | = 0.25 × 1200| | = {{{correctAnswer}}}|
correctAnswer
300

Answers

Is Correct?Answer
x

100

x

240

✓

300

x

1200

Variant 1

DifficultyLevel

621

Question

A rock band fan club has 2000 members.

One-fifth of the members have seen the band once and the rest have seen the band more than once.

40% of those who have seen the band more than once are over 35 years old.

How many of those who have seen the band more than once are over 35 years old?

Worked Solution
Total seen band > 1\text{Total seen band > 1} = 45×2000\dfrac{4}{5} \times 2000
= 1600

∴\therefore Seen the band > 1 and over 35
= 0.40 × 1600
= 640

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A rock band fan club has 2000 members. One-fifth of the members have seen the band once and the rest have seen the band more than once. 40% of those who have seen the band more than once are over 35 years old. How many of those who have seen the band more than once are over 35 years old?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total seen band > 1}$ | = $\dfrac{4}{5} \times 2000$ | | | = 1600 |

$\therefore$ Seen the band > 1 and over 35
>>| | | --------------------- | | = 0.40 × 1600| | = {{{correctAnswer}}}|
correctAnswer
640

Answers

Is Correct?Answer
✓

640

x

720

x

800

x

1800

Variant 2

DifficultyLevel

622

Question

A local netball club has 600 fans.

At a game, one-third of the fans wear a blue hat and the rest wear white.

30% of the white hats have a black logo on the front.

How many white hats have a black logo?

Worked Solution
Total white hats\text{Total white hats} = 23×600\dfrac{2}{3} \times 600
= 400

∴\therefore White hats with black logo
= 0.30 × 400
= 120

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A local netball club has 600 fans. At a game, one-third of the fans wear a blue hat and the rest wear white. 30% of the white hats have a black logo on the front. How many white hats have a black logo?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total white hats}$ | = $\dfrac{2}{3} \times 600$ | | | = 400 |

$\therefore$ White hats with black logo
>>| | | --------------------- | | = 0.30 × 400| | = {{{correctAnswer}}}|
correctAnswer
120

Answers

Is Correct?Answer
x

60

✓

120

x

180

x

400

Variant 3

DifficultyLevel

623

Question

A peak hour Sydney Metro train has a maximum load of 2000 passengers.

Of those passengers, one-fifth are seated and the rest are standing.

40% of those standing are on the train for longer than 10 minutes.

How many standing passengers are on the train for longer than 10 minutes?

Worked Solution
Total standing passengers\text{Total standing passengers} = 45×2000\dfrac{4}{5} \times 2000
= 1600

∴\therefore Standing passengers on the train for longer than 10 minutes
= 0.40 × 1600
= 640

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A peak hour Sydney Metro train has a maximum load of 2000 passengers. Of those passengers, one-fifth are seated and the rest are standing. 40% of those standing are on the train for longer than 10 minutes. How many standing passengers are on the train for longer than 10 minutes?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total standing passengers}$ | = $\dfrac{4}{5} \times 2000$ | | | = 1600 |

$\therefore$ Standing passengers on the train for longer than 10 minutes
>>| | | --------------------- | | = 0.40 × 1600| | = {{{correctAnswer}}}|
correctAnswer
640

Answers

Is Correct?Answer
x

160

x

400

x

480

✓

640

Variant 4

DifficultyLevel

624

Question

A light globe factory produces 1500 globes per day.

One-third of the globes are halogen and the rest are LED.

20% of the LED globes produced are soft yellow in colour.

How many of the LED globes are soft yellow in colour?

Worked Solution
Total LED globes\text{Total LED globes} = 23×1500\dfrac{2}{3} \times 1500
= 1000

∴\therefore LED globes soft yellow in colour
= 0.20 × 1000
= 200

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A light globe factory produces 1500 globes per day. One-third of the globes are halogen and the rest are LED. 20% of the LED globes produced are soft yellow in colour. How many of the LED globes are soft yellow in colour?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total LED globes}$ | = $\dfrac{2}{3} \times 1500$ | | | = 1000 |

$\therefore$ LED globes soft yellow in colour
>>| | | --------------------- | | = 0.20 × 1000| | = {{{correctAnswer}}}|
correctAnswer
200

Answers

Is Correct?Answer
x

100

✓

200

x

300

x

1000

Variant 5

DifficultyLevel

625

Question

A hiking group has 125 members and they embark on a 100 kilometre hike.

Only one-fifth of the hikers complete the entire distance.

60% of the hikers who did not finish completed less than 75 kilometres.

How many of the hikers who did not finish completed less than 75 kilometres?

Worked Solution
Total that did not finish\text{Total that did not finish} = 45×125\dfrac{4}{5} \times 125
= 100

∴\therefore Hikers who completed less than 75 kms
= 0.60 × 100
= 60

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
A hiking group has 125 members and they embark on a 100 kilometre hike. Only one-fifth of the hikers complete the entire distance. 60% of the hikers who did not finish completed less than 75 kilometres. How many of the hikers who did not finish completed less than 75 kilometres?
workedSolution
| | | | --------------------- | -------------------------------------------- | | $\text{Total that did not finish}$ | = $\dfrac{4}{5} \times 125$ | | | = 100 |

$\therefore$ Hikers who completed less than 75 kms
>>| | | --------------------- | | = 0.60 × 100| | = {{{correctAnswer}}}|
correctAnswer
60

Answers

Is Correct?Answer
x

100

x

75

✓

60

x

12

Tags

  • ms_ca