30044

Question

A type of mortar can be produced by mixing cement and sand in the ratio {{ratio}}.

How much {{choose1}} is required to make {{mass}} kilograms of this mortar?

Worked Solution

Cement : Sand = {{ratio}}

⇒\Rightarrow {{fraction}} of mortar is {{choose1}}
∴\therefore Sand required = {{fraction}} ×\times {{mass}}
= {{{correctAnswer}}}

Variant 0

DifficultyLevel

565

Question

A type of mortar can be produced by mixing cement and sand in the ratio 2:32:3.

How much sand is required to make 30 kilograms of this mortar?

Worked Solution

Cement : Sand = 2:32:3

⇒\Rightarrow 35\dfrac{3}{5} of mortar is sand
∴\therefore Sand required = 35\dfrac{3}{5} ×\times 30
= 18 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
ratio
$2:3$
choose1
sand
mass
30
fraction
$\dfrac{3}{5}$
correctAnswer
18 kilograms

Answers

Is Correct?Answer
x

10 kilograms

x

12 kilograms

✓

18 kilograms

x

20 kilograms

Variant 1

DifficultyLevel

565

Question

A type of mortar can be produced by mixing cement and sand in the ratio 3:43:4.

How much sand is required to make 28 kilograms of this mortar?

Worked Solution

Cement : Sand = 3:43:4

⇒\Rightarrow 47\dfrac{4}{7} of mortar is sand
∴\therefore Sand required = 47\dfrac{4}{7} ×\times 28
= 16 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
ratio
$3:4$
choose1
sand
mass
28
fraction
$\dfrac{4}{7}$
correctAnswer
16 kilograms

Answers

Is Correct?Answer
x

12 kilograms

✓

16 kilograms

x

18 kilograms

x

21 kilograms

Variant 2

DifficultyLevel

565

Question

A type of mortar can be produced by mixing cement and sand in the ratio 2:52:5.

How much cement is required to make 35 kilograms of this mortar?

Worked Solution

Cement : Sand = 2:52:5

⇒\Rightarrow 27\dfrac{2}{7} of mortar is cement
∴\therefore Sand required = 27\dfrac{2}{7} ×\times 35
= 10 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
ratio
$2:5$
choose1
cement
mass
35
fraction
$\dfrac{2}{7}$
correctAnswer
10 kilograms

Answers

Is Correct?Answer
✓

10 kilograms

x

14 kilograms

x

21 kilograms

x

25 kilograms

Variant 3

DifficultyLevel

565

Question

A type of mortar can be produced by mixing cement and sand in the ratio 3:53:5.

How much sand is required to make 80 kilograms of this mortar?

Worked Solution

Cement : Sand = 3:53:5

⇒\Rightarrow 58\dfrac{5}{8} of mortar is sand
∴\therefore Sand required = 58\dfrac{5}{8} ×\times 80
= 50 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
ratio
$3:5$
choose1
sand
mass
80
fraction
$\dfrac{5}{8}$
correctAnswer
50 kilograms

Answers

Is Correct?Answer
x

30 kilograms

x

32 kilograms

x

48 kilograms

✓

50 kilograms

Variant 4

DifficultyLevel

565

Question

A type of mortar can be produced by mixing cement and sand in the ratio 2:32:3.

How much cement is required to make 30 kilograms of this mortar?

Worked Solution

Cement : Sand = 2:32:3

⇒\Rightarrow 25\dfrac{2}{5} of mortar is cement
∴\therefore Sand required = 25\dfrac{2}{5} ×\times 30
= 12 kilograms

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
ratio
$2:3$
choose1
cement
mass
30
fraction
$\dfrac{2}{5}$
correctAnswer
12 kilograms

Answers

Is Correct?Answer
x

10 kilograms

✓

12 kilograms

x

18 kilograms

x

20 kilograms

Tags

  • ch_ratio