20183

Question

{{name}} is a {{work}}.

If {{gender}} needs {{mass1}} kilograms of {{item1}} to mix with {{item2}} and {{item3}} to make {{mass2}} kilograms of {{item4}}, how many kilograms of {{item1}} does {{gender}} need to make 1 kilogram of {{item4}}?

Worked Solution

{{mass1}} kg of {{item1}} ⇒\rArr {{mass2}} kg of {{item4}}

{{{correctAnswer}}} kg of {{item1}} ⇒\rArr 1 kg of {{item4}}

Variant 0

DifficultyLevel

575

Question

Guy is a builder.

If he needs s\large s kilograms of sand to mix with concrete and water to make c\large c kilograms of cement, how many kilograms of sand does he need to make 1 kilogram of cement?

Worked Solution

s\large s kg of sand ⇒\rArr c\large c kg of cement

sc\dfrac{\large s}{\large c} kg of sand ⇒\rArr 1 kg of cement

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Guy
work
builder
gender
he
mass1
$\large s$
item1
sand
item2
concrete
item3
water
mass2
$\large c$
item4
cement
correctAnswer
$\dfrac{\large s}{\large c}$

Answers

Is Correct?Answer
x

s+cc\dfrac{\large s + c}{\large c}

x

s−c\large s - c

✓

sc\dfrac{\large s}{\large c}

x

cc−s\dfrac{\large c}{\large c - s}

Variant 1

DifficultyLevel

575

Question

Michelle is a baker.

If she needs s\large s kilograms of sugar to mix with flour, yeast and water to make d\large d kilograms of dough, how many kilograms of sugar does she need to make 1 kilogram of dough?

Worked Solution

s\large s kg of sugar ⇒\rArr d\large d kg of dough

sd\dfrac{\large s}{\large d} kg of sugar ⇒\rArr 1 kg of dough

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Michelle
work
baker
gender
she
mass1
$\large s$
item1
sugar
item2
flour, yeast
item3
water
mass2
$\large d$
item4
dough
correctAnswer
$\dfrac{\large s}{\large d}$

Answers

Is Correct?Answer
x

ds\dfrac{\large d}{\large s}

x

s+ds\dfrac{\large s + d}{\large s}

x

s−d\large s - d

✓

sd\dfrac{\large s}{\large d}

Variant 2

DifficultyLevel

573

Question

Bob is a pie maker.

If he needs m\large m kilograms of meat to mix with gravy and salt to make p\large p kilograms of pie mince, how many kilograms of meat does he need to make 1 kilogram of pie mince?

Worked Solution

m\large m kg of meat ⇒\rArr p\large p kg of pie mince

mp\dfrac{\large m}{\large p} kg of meat ⇒\rArr 1 kg of pie mince

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Bob
work
pie maker
gender
he
mass1
$\large m$
item1
meat
item2
gravy
item3
salt
mass2
$\large p$
item4
pie mince
correctAnswer
$\dfrac{\large m}{\large p}$

Answers

Is Correct?Answer
✓

mp\dfrac{\large m}{\large p}

x

p−m\large p - m

x

p+mp\dfrac{\large p + m}{\large p}

x

pm\dfrac{\large p}{\large m}

Variant 3

DifficultyLevel

576

Question

Leah is a an Italian chef.

If she needs p\large p kilograms of flour to mix with sugar and water to make q\large q kilograms of pasta dough, how many kilograms of flour does she need to make 1 kilogram of pasta dough?

Worked Solution

p\large p kg of flour ⇒\rArr q\large q kg of pasta dough

pq\dfrac{\large p}{\large q} kg of flour ⇒\rArr 1 kg of pasta dough

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Leah
work
an Italian chef
gender
she
mass1
$\large p$
item1
flour
item2
sugar
item3
water
mass2
$\large q$
item4
pasta dough
correctAnswer
$\dfrac{\large p}{\large q}$

Answers

Is Correct?Answer
x

p+qq\dfrac{\large p + q}{\large q}

x

qp\dfrac{\large q}{\large p}

x

q−pq\dfrac{\large q - p}{q}

✓

pq\dfrac{\large p}{\large q}

Variant 4

DifficultyLevel

573

Question

Jamie is a chef.

If he needs c\large c kilograms of cheese to mix with potatoes and cream to make p\large p kilograms of potato bake, how many kilograms of cheese does he need to make 1 kilogram of potato bake?

Worked Solution

c\large c kg of cheese ⇒\rArr p\large p kg of potato bake

cp\dfrac{\large c}{\large p} kg of cheese ⇒\rArr 1 kg of potato bake

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
name
Jamie
work
chef
gender
he
mass1
$\large c$
item1
cheese
item2
potatoes
item3
cream
mass2
$\large p$
item4
potato bake
correctAnswer
$\dfrac{\large c}{\large p}$

Answers

Is Correct?Answer
x

p−c\large p - c

x

p+cp\dfrac{\large p + c}{\large p}

✓

cp\dfrac{\large c}{\large p}

x

p−cp\dfrac{\large p - c}{\large p}