NNC Year 6 Measures
39 minutes
39 marks
Page 1 of 26
Q1.
At a petrol station there is a scale for converting litres and gallons.
Approximately how many litres are there in 3 gallons?
Give your answer to the nearest litre.
litres
1 mark
Approximately how many gallons are there in 7 litres?
Give your answer to 1 decimal place.
gallons
1 mark
Q2.
There are 60g of rice in one portion.
How many portions are there in a 3kg bag of rice?
1 mark
Page 2 of 26
Q3.
Every day a machine makes 100 000 paper clips which go into boxes.
A full box has 120 paper clips.
How many full boxes can be made from 100 000 paper clips?
2 marks
Each paper clip is made from 9.2 centimetres of wire.
What is the greatest number of paper clips that can be made from 10 metres of wire?
2 marks
Page 3 of 26
Q4.
All the water in these two containers is to be poured into the empty container below.
Draw where the water level will be in the container.
1 mark
Q5.
Mr Jones has two sizes of square paving stones.
Page 4 of 26
He uses them to make a path.
The path measures 1.55 metres by 3.72 metres.
Calculate the width of a small paving stone.
2 marks
Q6.
Here is a drawing of a model car.
What is the length of the model?
Give your answer in centimetres, correct to one decimal place.
cm
1 mark
Page 5 of 26
The height of the model is 2.8 centimetres.
The height of the real car is 50 times the height of the model.
What is the height of the real car?
Give your answer in metres.
2 marks
Q7.
Here is a map of part of France.
Page 6 of 26
The map shows that the distance from Calais to Paris is 320 kilometres.
5 miles is approximately 8 kilometres.
Use these facts to calculate the approximate distance in miles from Calais to Paris.
2 marks
Samira bought this present in France.
Page 7 of 26
She paid 44.85 French Francs for it.
9.75 French Francs equal £1
What was the cost of the present in pounds and pence?
2 marks
Q8.
The population of the world is approximately 6200 million people.
It is increasing by approximately 93 million people each year.
Use this information to calculate the percentage increase in the population over a year.
2 marks
Page 8 of 26
Mike says,
‘An increase of 93 million people each year is more than 170 people each minute’.
Show that he is correct.
2 marks
Q9.
Here is some flour on a weighing scale.
How many grams of flour are on the scale?
grams
1 mark
Page 9 of 26
How much more flour must be added to the scale to make 1.6 kg?
1 mark
Q10.
Nisha’s kettle holds 2 litres of water.
How many millilitres are equal to 1 cup?
ml
1 mark
Page 10 of 26
Q11.
This scale shows length measurements in centimetres and feet.
Not actual size
Look at the scale.
Estimate the number of centimetres that are equal to 2
feet.
cm
1 mark
Estimate the difference in centimetres between 50cm and 1
feet.
cm
1 mark
Q12.
The photograph shows a crop circle that was made in Mexico.
People flattened crops to make a pattern inside a circle.
The photograph has been provided courtesy of Greenpeace
Page 11 of 26
Some people are planning to make a crop circle.
Here is what they plan to do:
• They will make a circle of radius 30 m.
• They will flatten about 60% of
the area of the circle.
• Together, they can flatten 450 m2 in one hour.
About how many hours do the people plan to spend making the crop circle?
You will need to use this formula:
The area of a circle is 3.142 × (radius)2
3 marks
Page 12 of 26
Q13. A school buys some yo-yos as prizes.
The yo-yos cost £4.25 each.
The school has £40 to spend on prizes.
They buy as many yo-yos as they can.
How much money is left?
2 marks
Q14.
Here are five letters on a scale.
Page 13 of 26
Match each letter to one of the capacities in the list below.
1200 ml
1.7 l
l
1560 ml
1.07 l
2 marks
Page 14 of 26
Q15.
A shop sells rolls of wire.
By Public Domain Photos [CC BY 2.0], via Flickr
roll A
roll B
Two rolls, A and B, each have 45 metres of wire on them.
The wire on roll A is cut into 1.25m lengths.
The wire on roll B is cut into 2.25m lengths.
How many more lengths of wire are cut from roll A than roll B?
2 marks
Page 15 of 26
Q16.
How many days old will the baby be when she has lived for one million seconds?
2 marks
Page 16 of 26
Q17.
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
Page 17 of 26
M1.
(a)
13 OR 14
1
(b)
1.5 OR 1.6 Do not accept 1½
1
[2]
M2.
50 (portions)
[1]
M3.
(a)
Award TWO marks for the correct answer of 833.
Do not award TWO marks for answers which are not whole
numbers, eg 833.33
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg 100 000 ÷ 120.
Accept as evidence of an appropriate method, 833.33 ... rounded to one
or more decimal places.
Calculation need not be completed for the award of the mark.
up to 2
(b)
Award TWO marks for the correct up to answer of 108.
Do not award TWO marks for answers which are not whole
numbers, eg 108.6
If the the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg: 1000 ÷ 9.2
Accept as evidence of an appropriate method, 109 OR 108.695 rounded to
one or more decimal places.
Calculation need not be completed for the award of the mark.
For ONE mark, accept correctly rounded answers based upon
the wrong conversion of units, eg
10×10 = 10.8 = 10
9.2
2
[4]
Page 18 of 26
M4.
[1]
M5.
Award TWO marks for the correct answer of 62cm OR 0.62m
Accept answers without units.
If the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg
3.72 ÷ 6 OR 372 ÷ 6
Calculation need not be performed for the award of the mark.
OR
372 – 155 – 155
Accept for ONE mark
372 ÷ 4 = 93
up to 2
[2]
M6.
(a)
8.7cm
Do not accept 8cm 7mm OR 87mm
1
(b)
Award TWO marks for the correct answer of 1.40m OR 1.4.
Accept for TWO marks 1m 40cm
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
50 × 2.8 ÷ 100
Calculation need not be performed for the award of the mark.
Award ONE mark for 14 OR 140 OR 1400, OR 50 × 2.8
up to 2
[3]
Page 19 of 26
M7.
(a)
Award TWO marks for the correct answer of 200
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
320 ÷ 8 × 5
Calculation need not be performed for the award of the mark.
Up to 2
(b)
Award TWO marks for the correct answer of £4.60
If the answer is incorrect, award ONE mark for evidence of an appropriate
method, eg
44.85 ÷ 9.75
Accept for TWO marks £4 60 OR £4-60 OR £4.60p
Accept for ONE mark £4.6 OR £460p OR £460 as evidence of an
appropriate method.
Calculation need not be performed for the award of the mark.
Up to 2
[4]
M8.
(a)
Award TWO marks for the correct answer of 1.5%
If the answer is incorrect, award ONE mark for evidence of an
appropriate method, eg
93 ÷ 6200 × 100
Calculation need not be completed for the award of the mark.
Up to 2
(b)
Award TWO marks for a calculation
that demonstrates that Mike is correct, ie
that 93 000 000 each year is equivalent to approximately
177 people each minute.
Ignore any incorrect rounding of a correct calculation.
Award ONE mark for evidence of an appropriate method to calculate the
equivalent increase in population each minute, eg
93 000 000 ÷ 365 ÷ 24 ÷ 60
Calculation need not be completed for the award of the mark.
Accept methods that use any of the following for the number
of days in the year:
365 OR 366 OR 365.25 OR 52 × 7
Accept for ONE mark the correct method even if it leads to
the wrong conclusion.
Up to 2
[4]
Page 20 of 26
M9.
(a)
400
Answer must be in grams.
1
(b)
1200g OR 1.2 kg
OR
for finding the correct difference between 1.6 kg and the answer given for (a).
Accept 1200 OR 1.2 OR 1kg 200g
1
[2]
M10.
250
Do not accept
litre.
[1]
M11.
(a)
Answer in the range 76cm to 78cm inclusive.
1
(b)
Answer in the range 3cm to 5cm inclusive.
1
[2]
M12.
4
3
U1
Page 21 of 26
or
Shows or implies at least two of these three steps correctly:
1. A correct method for evaluating the area of the circle in which the
squaring is interpreted correctly
2. A correct method for finding 60% of a quantity
3. Division by 450
eg:
•
Shows the value 3.7(...) or 3.8 [1, 2 and 3 but rounding omitted]
•
Shows the value 1696.(...) or 1697 [1 and 2]
•
π × 900 × 6 ÷ 10 [1 and 2]
•
3.142 × 302 × 60 ÷ 100 ÷ 450 [2 and 3]
•
3.142 × 302 = 188.52 (error)
188.52 × 0.6 ÷ 450 = 0.25(...) [2 and 3]
•
2827.(...) ÷ 450 [1 and 3]
Do not accept Ambiguous implication for method
eg, 6.284 to imply 1 and 3
2
or
Shows or implies one of the three steps above correctly, eg:
•
Shows the value 2827.(...) or 2828 [1]
•
3.142 × 900 [[1[]
•
π × 30 × 30 [1]
•
60% of 188.52 (error) = 113.(...) [2]
•
3.142 × 30 = 94.26 (error)
94.26 ÷ 450 = 0.2(...) [3]
1
[3]
Page 22 of 26
M13.
Award TWO marks for the correct answer of £1.75
If the answer is incorrect, award ONE mark for evidence of appropriate method, eg:
•
40 ÷ 4.25 = 9.411…
4.25 × 9 = 38.25
40 – 38.25
OR
•
10 yo-yos cost £42.50
9 yo-yos cost £42.50 – £4.25 = £38.25
£40 – £38.25
Accept for ONE mark £175 OR £175p OR 1.75p as evidence of
appropriate method.
Accept for ONE mark sight of £38.25 OR 38.25 OR 3825
Answer need not be obtained for the award of ONE mark.
Up to 2
[2]
M14.
Award TWO marks for all five letters in the correct order as shown:
If the answer is incorrect, award ONE mark for at least three letters correct.
Accept alternative unambiguous indications, eg
Up to 2
[2]
Page 23 of 26
M15.
Award TWO marks for the correct answer of 16
If the answer is incorrect, award ONE mark for
evidence of an appropriate method, eg
45 ÷ 1.25 = 36
45 ÷ 2.25 = 20
36 – 20
Answer need not be obtained for the award
of ONE mark.
Up to 2
[2]
M16.
11 OR 12 OR any value between 11.5 and 11.6 inclusive
2
or
Any value between 277 and 288 inclusive seen (value takes account
of seconds in a minute and minutes in an hour)
OR
Any value between 694 and 695 inclusive seen (value takes account
of hours in a day and either seconds in a minute or minutes in an hour)
OR
Shows or implies a complete, correct method, eg:
•
1 000 000 ÷ 60 ÷ 60 ÷ 24
•
1 000 000 ÷ 86 400
•
16 666 ÷ 60 ÷ 24
Do not accept place value errors in the value taken for one million
in an otherwise correct method, eg:
100 000 ÷ 60 ÷ 60 ÷ 24
1
[2]
Page 24 of 26
M17.
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]
Page 25 of 26
Page 26 of 26