Name __________________________________
Ratios Homework
Q1.
Chen is cooking some pasta.
The recipe says he needs 350 grams of pasta for
4 people.
How many kilograms of pasta does he need for 12 people?
2 marks
Q2.
A recipe for fruit squash is
oranges (chopped)
lemonade
orange juice
300 g
1500 ml
750 ml
makes enough for 6 people
Trina wants to make enough squash for 10 people.
How many millilitres of lemonade will she need?
2 marks
Page 1
Brian is using 2 litres of orange juice and follows the same recipe.
How many people is this enough for?
2 marks
Q3.
Here is a recipe for fruit smoothies.
Stefan uses the recipe to make smoothies.
He uses 1 litre of yogurt.
How many strawberries does he use?
1 mark
Amir uses the same recipe.
He wants to make 5 smoothies.
He has 1 litre of orange juice.
How many more millilitres of orange juice does he need?
2 marks
Page 2
Q4.
Sapna makes a fruit salad using bananas, oranges and apples.
For every one banana, she uses 2 oranges and 3 apples.
Sapna uses 24 fruits.
How many oranges does she use?
2 marks
Q5.
Shortcrust pastry is made using flour, margarine and lard.
The flour, margarine and lard are mixed in the ratio
8 : 3 : 2 by weight.
How many grams of margarine and lard are needed to mix with 200 grams of flour?
2 marks
Page 3
Q6.
Here are the ingredients for fish pie for two people.
Omar makes fish pie for 3 people.
How many grams of fish should he use?
2 marks
Q7.
In a country dance there are 3 boys and 2 girls in every line.
42 boys take part in the dance.
How many girls take part?
2 marks
Page 4
Q8.
A and B are two chain wheels on a bike.
For every 2 complete turns that wheel A makes, wheel B makes 5 complete turns.
If wheel A makes 150 turns, how many turns will wheel B make?
1 mark
If wheel B makes 90 turns, how many turns will wheel A make?
1 mark
Page 5
M1.Award TWO marks for the correct answer of 1.05 kg.
If the answer is incorrect, award ONE mark for evidence of appropriate working, eg:
■
12 ÷ 4 = 3
350 × 3 = 1050
1050 ÷ 1000 = wrong answer
Do not accept 1050g
Accept for ONE mark 10.5 or 105 as evidence of appropriate
working.
Working must be carried through to reach an answer for the
award of ONE mark.
Up to 2m
[2]
M2.
(a) Award TWO marks for the correct answer of 2500 ml, even if the
working is incorrect.
If answer is incorrect, award ONE mark for evidence of attempt to
calculate the answer to 1500 ÷ 6 × 10 by any appropriate method, eg:
•
6 people need 1500, so 12 people need 3000,
2 people need 300 (incorrect answer given),
so 10 people need 3000 – 300 = 2800 (incorrect answer given) OR
•
1500 ÷ 6 = 250, 250 × 10 = 25000 (incorrect answer given).
The writing of an expression such as “1500 ÷ 6 × 10” alone
is insufficient for the award of the mark.
Up to 2
(b)
Award TWO marks for the correct answer of 16, even if the working is incorrect.
If answer is incorrect, award ONE mark for evidence of attempt to calculate the
answer to 2000 ÷ 750 × 6 by any appropriate method, eg:
•
750 is for 6 people, so 1500 is for 12 people, 2250 is for 18 people;
250 would be for 3 people (incorrect answer given),
so 2000 is for 18 – 3 = 15 people (incorrect answer given) OR
•
750 ÷ 6 = 120 (incorrect answer given),
2000 ÷ 120 = 16.67 (incorrect answer given).
The writing of an expression such as “2000 ÷ 750 × 6” alone
is insufficient for the award of the mark.
Up to 2
[4]
M3.
(a)
40
1
(b)
Award TWO marks for the correct answer of 250
If the answer is incorrect, award ONE mark for evidence of
appropriate method, eg:
Page 6
•
500 ÷ 2 × 5 = 1250
1250 – 1000
OR
•
litre
2 smoothies
1 litre
1
4 smoothies
litres 5 smoothies
× 1000
1
–1=
Accept for ONE mark an answer of
litre OR sight of litre with no evidence of an
incorrect method.
Accept for ONE mark an answer of 1250 OR sight of 1250
with no evidence of an incorrect method.
Answer need not be obtained for the award of ONE mark.
Up to 2
[3]
M4.
Award TWO marks for the correct answer of 8
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
1+ 2+ 3=6
24 ÷ 6 = 4
4×2
OR
6 fruits
2 oranges,
12 fruits
4 oranges
18 fruits
6 oranges
24 fruits
wrong answer
Answer need not be obtained for the award of ONE mark.
Up to 2
[2]
Page 7
M5.
Award TWO marks for the correct answer of
margarine
75g
lard
50g
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
200 ÷ 8 = 25
margarine = 3 × 25
lard = 2 × 25
OR the use of ratio, eg
8:3: 2
80 : 30 : 20
40 : 15 : 10
200 : wrong answer : 50
200 : 75 : wrong answer
Up to 2
[2]
M6.
Award TWO marks for the correct answer of 375.
If the answer is incorrect, award ONE mark for an appropriate method, such as:
•
250 ÷ 2 × 3
Calculation need not be performed for the award of ONE
mark, but the method shown must be capable of producing
the correct answer.
Up to 2
[2]
M7.
Award TWO marks for the correct answer of 28.
If answer is incorrect, award ONE mark for evidence of appropriate strategy, eg:
•
42 ÷3 × 2
•
3b and 2g
6b and 4g
•
3 6 9 12 . . . . . . 42
2 4 6 8
An actual calculation is not required for the award of one
mark. Appropriate strategy must include use of 3 : 2 (boys :
girls) ratio.
Up to 2
M8.
(a)
(b)
375 Award the mark for correct answer, even if the working is incorrect.
1
36 Award the mark for correct answer, even if the working is incorrect.
1
Page 8