30247

Question

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Worked Solution

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Variant 0

DifficultyLevel

555

Question

The bar chart below shows the average cost of 1 gigabite (GB) of mobile data in 25 countries in 2020.

In how many countries is the cost of 1 GB of mobile data less than 10% of the average cost of all the countries?

Worked Solution
10% of the average cost = 6.64 ×\times 0.10
= $0.664 per GB

∴\therefore There are 6 countries (Indonesia, China, Vietnam, Russia, Italy and India) where 1 GB of mobile data costs less than $0.66 per GB.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
The bar chart below shows the average cost of 1 gigabite (GB) of mobile data in 25 countries in 2020.
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q6_var0-1.svg 770 indent vpad
part2
In how many countries is the cost of 1 GB of mobile data less than 10% of the average cost of all the countries?
solution1
| | | | -------: | -- | | 10% of the average cost | = 6.64 $\times$ 0.10 | | | = $0.664 per GB|
$\therefore$ There are 6 countries (Indonesia, China, Vietnam, Russia, Italy and India) where 1 GB of mobile data costs less than $0.66 per GB.
correctAnswer
6

Answers

Is Correct?Answer
x

4

x

5

✓

6

x

7

Variant 1

DifficultyLevel

556

Question

An international human rights group researched the average minimum wage per hour across numerous countries.

The results are recorded in the bar chart below.

In how many countries is the minimum wage per hour more than 50% greater than the average minimum wage?

Worked Solution
150% of average wage = 5.23 + 5.23 ×\times 0.5
= 5.23 + 2.615
= 7.845

∴\therefore There are 5 countries (Netherlands, France, Ireland, Luxembourg and Australia) with an average wage higher than $7.85.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
An international human rights group researched the average minimum wage per hour across numerous countries. The results are recorded in the bar chart below.
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q6_var1.svg 600 indent vpad
part2
In how many countries is the minimum wage per hour more than 50% greater than the average minimum wage?
solution1
| | | | -------: | -- | | 150% of average wage | = 5.23 + 5.23 $\times$ 0.5 | | | = 5.23 + 2.615 | | | = 7.845 |

$\therefore$ There are 5 countries (Netherlands, France, Ireland, Luxembourg and Australia) with an average wage higher than $7.85.
correctAnswer
5

Answers

Is Correct?Answer
x

4

✓

5

x

6

x

7

Variant 2

DifficultyLevel

556

Question

A think tank's research gathered data on the average minimum wage per hour across a number of countries.

The results are recorded in the bar chart below.

In how many countries is the minimum wage per hour less than 50% of the average minimum wage?

Worked Solution
50% of average cost = 5.23 ×\times 0.50
= $2.615

∴\therefore There are 5 countries (Hungary, Estonia, Chile, Latvia and Mexico) that have a minimum wage less than $2.62.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
A think tank's research gathered data on the average minimum wage per hour across a number of countries. The results are recorded in the bar chart below.
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q6_var2.svg 600 indent3 vpad
part2
In how many countries is the minimum wage per hour less than 50% of the average minimum wage?
solution1
| | | | -------: | -- | | 50% of average cost | = 5.23 $\times$ 0.50 | | | = $2.615 |
$\therefore$ There are 5 countries (Hungary, Estonia, Chile, Latvia and Mexico) that have a minimum wage less than $2.62.
correctAnswer
5

Answers

Is Correct?Answer
x

2

x

3

x

4

✓

5

Variant 3

DifficultyLevel

556

Question

An insurance company researched the average life expectancy in a number of countries.

The results are recorded in the bar chart below.

In how many countries is the life expectancy more than 1% greater than the average of the listed countries?

Worked Solution
101% of average life = 82.6 + 82.6 ×\times 0.01
= 82.6 + 0.826
= 83.426

∴\therefore There is only 1 country (Japan) that has life expectancy greater than 83.426.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
An insurance company researched the average life expectancy in a number of countries. The results are recorded in the bar chart below.
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q6_var3.svg 770 indent vpad
part2
In how many countries is the life expectancy more than 1% greater than the average of the listed countries?
solution1
| | | | -------: | -- | | 101% of average life | = 82.6 + 82.6 $\times$ 0.01 | | | = 82.6 + 0.826| | | = 83.426 |

$\therefore$ There is only 1 country (Japan) that has life expectancy greater than 83.426.
correctAnswer
1

Answers

Is Correct?Answer
✓

1

x

2

x

3

x

4

Variant 4

DifficultyLevel

556

Question

The Bill Gates Foundation is researching the 2020 population of a number of selected countries.

The results are recorded in the bar chart below.

In how many countries is the population more than 50% greater than the average of the selected countries?

Worked Solution

Calculating in millions for simplicity:
150% of average population ≈\approx 147 + 147 ×\times 0.5
≈\approx 147 + 73.5
≈\approx 220.5 million

∴\therefore There are 3 countries (United States, Indonesia and Pakistan) that have a population more than 220.5 million.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
part1
The Bill Gates Foundation is researching the 2020 population of a number of selected countries. The results are recorded in the bar chart below.
image1
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/03/RAPH-Q6_var4.svg 350 indent3 vpad
part2
In how many countries is the population more than 50% greater than the average of the selected countries?
solution1
sm_nogap Calculating in millions for simplicity:
| | | | -------: | -- | | 150% of average population | $\approx$ 147 + 147 $\times$ 0.5 | | | $\approx$ 147 + 73.5 | | | $\approx$ 220.5 million |

$\therefore$ There are 3 countries (United States, Indonesia and Pakistan) that have a population more than 220.5 million.
correctAnswer
3

Answers

Is Correct?Answer
x

1

x

2

✓

3

x

4