Q1.
Write these in order of size, starting with the smallest.
0.5
0.65
smallest
1 mark
Q2.
Circle the fraction that is greater than
but less than
1 mark
Q3.
The diagram shows three regular octagons joined together.
There is a dot at the centre of each octagon.
What fraction of the diagram is shaded?
1 mark
Page 1 of 15
Q4.
Write these fractions in order of size starting with the smallest.
smallest
1 mark
Q5.
Calculate
of 980
1 mark
Q6.
The Year 6 children in a school were asked to choose a musical instrument.
This is a pie chart of their choices.
Estimate what fraction of the children chose a drum.
1 mark
Page 2 of 15
There are 80 children in Year 6.
Estimate the number of children who chose a violin.
1 mark
Explain how you decided.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
15% of the 80 children chose a guitar.
How many children is this?
2 marks
Q7.
Calculate
of 325
1 mark
Page 3 of 15
Q8.
Calculate
of 5000
1 mark
Q9.
Which is larger,
or
?
Explain how you know.
...............................................................................................................................
...............................................................................................................................
...............................................................................................................................
1 mark
Q10.
Is
greater than
?
Circle Yes or No.
Yes / No
Page 4 of 15
Show how you know.
1 mark
Is
half of
?
Cirle Yes or No.
Yes / No
Show how you know.
1 mark
Page 5 of 15
Q11.
Lili and Julian each start with the same number.
Lili works out half of the number.
Julian works out three-quarters of the number.
The sum of their answers is 275
What was the number they started with?
2 marks
Q12.
Write a fraction which is greater than 0.7 and less than 0.71.
1 mark
Write a decimal which is greater than
and less than
.
1 mark
Q13.
Place these numbers in order of size, starting with the smallest.
0.19
smallest
0.9
0.091
0.109
largest
1 mark
Page 6 of 15
Place these fractions in order of size, starting with the smallest.
smallest
largest
1 mark
Q14.
12 500 people visited the museum in 1995.
This is an increase of a quarter on 1994.
How many visitors were there in 1994?
2 marks
Page 7 of 15
M1.
Numbers in order, as shown:
0.5
0.65
Accept equivalent decimals, percentages or fractions.
[1]
M2.
Fraction circled as shown:
Accept alternative unambiguous indications, eg
fraction ticked, crossed or underlined.
[1]
M3.
Accept: equivalent fractions, eg
[1]
M4.
Fractions must be written in the correct order for the award of the
mark.
Accept equivalent fractions or decimals.
[1]
M5.
367.5 OR 367½
[1]
Page 8 of 15
M6.
(a) The answer is approximately 1/7. Accept any fraction, percentage or decimal
in the range:
•
1/9 to 1/5, inclusive
•
11% to 20%, inclusive
•
0.11 to 0.2, inclusive
1
(b)
The correct answer is 10. Accept any number in the range 8 to 12, inclusive.
1
(c)
The explanation should make reference, in some form, to appropriate
fractional estimates, eg:
•
“Because it looks like a quarter of a half and that’s 10.”
•
“I thought the violin looked like half the trumpet and that was about a quarter.”
•
“I decided this because 1/4 was 20 children, so I halved 20 and made it 10.”
Explanations which lack specific reference to appropriate fractions
should not be awarded the mark, eg:
• “Because it’s a bit less than the trumpet.”
• “Because there are 6 parts to the pie chart.”
1
(d)
Award TWO marks for the correct answer of 12, even if there
are errors in the working.
Award ONE mark if the answer is incorrect, but there is evidence of an attempt to
calculate 15% of 80 by any method, eg:
•
15/100 × 80 = (incorrect answer given)
•
10% of 80 = 8, 5% is 4, so 15% of 80 = (incorrect answer given)
•
1% of 80 = 80/100 = 4/5, so 15% = 4/5 × 15 = (incorrect answer given)
The writing of “15/100 × 80” (or equivalent) alone is not sufficient
evidence of an attempt to calculate.
Up to 2
[5]
M7.
65
[1]
Page 9 of 15
M8.
4375
[1]
M9.
An appropriate explanation which recognises that:
No mark is awarded for writing
alone.
OR
Do not accept vague or arbitrary explanations, eg
•
‘Because
is bigger than
‘;
•
‘Because
comes first on a number line’.
OR
that
is less than
because 3 ×
is greater than 1
[1]
Page 10 of 15
M10.
(a)
•
Indicates Yes and gives a correct explanation, eg:
=
,
<
•
•
of 9 is 3 not 4
•
should be
•
0.33... < 0.44...
,
, not
•
=
<
•
of 27 = 9 and
of 27 = 12
Accept minimally acceptable explanation, eg:
•
•
•
,
4 is over a third of 9
•
of 9 is 3
•
is closer to a half than a third
•
•
0.33, 0.44
It is one ninth bigger
•
If you divide
by a
you get
•
! Inaccuracies in diagrams
Throughout the question, condone provided the pupil’s intention to
divide into thirds, ninths and/or eighteenths is clearly shown, and
the correct sections are shaded
Page 11 of 15
! Indicates No, or no decision made, but explanation clearly correct
Condone provided the explanation is more than minimal
Do not accept incomplete or incorrect explanation, eg:
•
If you draw a pie chart for
, more than
•
Put them into 27ths and
>
•
is shaded
×3=
1
U1
(b)
Indicates No and gives a correct explanation, eg:
•
The fractions are equal; if you multiply the numerator and denominator
by the same number the fractions are equivalent
•
=
•
×2=
•
÷2=
not
which is
not
•
To double the fraction, you don’t double the numerator and the denominator,
you just double the numerator
•
To halve the fraction, you don’t halve the denominator, only the numerator
Accept minimally acceptable explanation, eg:
•
Equal
•
Equivalent
•
Same
•
•
•
•
is half of
is half of
You only double the top number
You only halve the top number
! Indicates Yes, or no decision made, but explanation clearly
correct
Condone provided the explanation is more than minimal
Page 12 of 15
Do not accept Incomplete explanation, eg
•
If you double the top and the bottom number of
,
you get
1
U1
[2]
M11.
Award TWO marks for the correct answer of 220
If the answer is incorrect, award ONE mark
for evidence of an appropriate method, eg
275 ÷ 5 × 4
Answer need not be obtained for the award of the mark.
Up to 2
[2]
M12.
(a)
•
Any fraction greater than 7/10 AND less than 71/100, eg:
141/200
Accept decimal fractions which fit the criteria, eg:
• 0.705
1
(b)
Any decimal greater than 0.571428 recurring
AND less than 0.714285 recurring, eg:
•
0.6
Do NOT accept non-decimal fractions, eg:
•
9
4.5
/14 OR /7
1
[2]
M13.
(a)
All four numbers in their correct places.
1
Page 13 of 15
(b)
All four numbers in their correct places.
1
[2]
M14.
Award TWO marks for the correct answer of 10 000.
If answer is incorrect, award ONE mark for evidence of an appropriate strategy, eg:
•
12500 ÷ 5 × 4
Up to 2
[2]
Page 14 of 15
Page 15 of 15