Download NNC Year 6 - Winteringham Primary

NNC Year 6
Place Vlaue
26 minutes
25 marks
Page 1 of 15
Q1.
A drink and a box of popcorn together cost 90p.
2 drinks and a box of popcorn together costs £1.45.
What does a box of popcorn cost?
1 mark
Explain how you got your answer.
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1 mark
Q2.
Abdi starts a sequence of numbers.
He begins with 10 000 and subtracts 7 each time.
The first five numbers in his sequence are
10 000
9 993
9 986
9 979
9 972 …
Abdi says,
“If I continue my sequence, the first negative number in it will be –3.”
Is Abdi correct? Circle Yes and No.
Yes / No
Page 2 of 15
Explain how you know.
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2 marks
Q3.
Here is a table of temperatures at dawn on the same day.
What is the difference in temperature between London and Paris?
°C
1 mark
At noon the temperature in New York has risen by 5°C.
What is the temperature in New York at noon?
°C
1 mark
Q4.
Megan makes a sequence of numbers starting with 100.
She subtracts 45 each time.
Write the next two numbers in the sequence.
100
55
10
2 marks
Page 3 of 15
Q5.
Circle two different numbers which multiply together to make 1 million.
10
100
1000
10 000
100 000
1 mark
Q6.
The rule for this sequence of numbers is ‘add 3 each time’.
1
4
7
10
13
16 …
The sequence continues in the same way.
Mary says,
‘No matter how far you go there will never be a multiple of 3 in the sequence’.
Is she correct?
Circle Yes or No.
Yes / No
Explain how you know.
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1 mark
Q7.
Paulo makes a sequence of numbers.
He chooses a starting number and then subtracts equal amounts each time.
The third number in his sequence is 45
The tenth number is –32
Page 4 of 15
What is the first number in the sequence?
2 marks
Page 5 of 15
Q8.
Here is part of a time line.
Draw a line from each invention to the correct point on the time line.
One has been done for you.
2 marks
Page 6 of 15
Q9.
The rule to get each number in a sequence is
subtract the previous number from 100, then divide the answer by 2
Here is part of the sequence.
Write the two missing numbers.
40
30
35
32.5
33.75
2 marks
Q10.
Here is part of a number line.
It is divided into equal sections.
Write the letter of the section where each of these numbers belongs.
The number 99 has been done for you.
number
section
99
J
29
–83
–15
44
2 marks
Page 7 of 15
Q11.
The numbers in this sequence increase by 3 each time.
3
6
9
12
...
The numbers in this sequence increase by 5 each time.
5
10
15
20
...
Both sequences continue.
Write a number greater than 100 which will be in both sequences.
2 marks
Q12.
Write the letter of the arrow that points to the number 50 000
...............................
1 mark
Q13.
Runa nd Jon each start with the same number.
Runa rounds the number to the nearest hundred.
Jon rounds the number to the nearest ten.
Page 8 of 15
Runa’s answer is double Jon’s answer.
Explain how this can be.
1 mark
Q14.
Jon makes a sequence of numbers.
His rule is to add the same amount each time.
Write in the missing numbers.
–1
19
1 mark
Q15.
Chen chooses a prime number.
He multiplies it by 10 and then rounds it to the nearest hundred.
His answer is 400.
Write all the possible prime numbers Chen could have chosen.
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2 marks
Page 9 of 15
M1.
(a)
35p
Answer to 17a may be embedded in answer to 17b.
In this case, award one mark for correct answer.
1
(b)
Explanation which includes reference to any appropriate method even if the
answer is incorrect, eg:
•
I took 90 from 145 and took my answer from 90.
•
If a drink and popcorn costs 90p you add to it however much it takes to make 145,
which is 55p so you times 55 by 2 which is 110 and take away 145 and you get 45
(incorrect answer).
OR
a trial and improvement approach, eg:
•
I thought they might both cost 45p. I guessed the drink and doubled it to make 90p, then
added another 45 but I got 10 less than £1.45. So I tried 55 and it worked so the
popcorn is 35.
Accept appropriate numerical working elsewhere on page as
adequate explanation. If there is no working and no explanation,
there is no mark for 17b, even if 17a is correct.
If answer to 17a is correct, accept appropriate non-numerical
answer to 17b, (ie no reference to actual amounts of money).
1
[2]
M2.
Award TWO marks for Yes AND an appropriate explanation which
implies the division of 10,000 by 7 to leave a remainder of 4 which
is then interpreted as resulting in the first negative term of the
sequence being –3, eg
‘If you divide 10,000 by 7 down to the smallest positive number,
then take 7 the answer is –3’
‘1428 × 7 = 9996. Take this off 10,000 and you get 4.
Take another 7 and you get –3’ ‘10,003 is a multiple of 7’
The division may be done by a series of subtractions,
eg: 7,000, then 700’s then 70’s etc.
No mark is awarded for ‘Yes’ alone.
Award ONE mark if the explanation recognises the need to
divide 10,000 by 7 and results in an incorrect response in
the range –6 to 6 inclusive AND is consistent with Yes/No
conclusion given, eg:
‘7 goes into 10.004 and 9,997 so the first negative will be –4’.
Up to 2
[2]
Page 10 of 15
M3.
(a)
10
Accept +10 OR –10
Do not accept an incomplete calculation, eg: 4 + 6
1
(b)
–4
Accept ‘negative 4’ OR ‘minus 4’ OR ‘4 below’.
Do not accept ‘4–’.
1
[2]
M4.
(a)
–35 (in left-hand box)
Accept for ONE mark ‘35–’ AND ‘80–’
1
(b)
–80 (in right-hand box)
Accept for ONE mark any two negative numbers such that the
second is 45 less than the first.
1
[2]
M5.
OR
Accept alternative indications such as the numbers crossed or
underlined.
Do not accept 1000 circled twice.
[1]
Page 11 of 15
M6.
Explanation which recognises that
each number is one more than a multiple of 3,eg
•
‘It starts at 1 and keeps adding 3 so it misses all the multiples of 3’,
•
‘Multiples of 3 are all 1 less than the numbers’.
No mark is awarded for circling ‘Yes’ alone.
Do not accept vague or arbitrary explanations such as
• ‘They’re too big’;
• ‘It doesn’t go far enough’;
• ‘It is adding 3 all the time’.
If ‘No’ is circled but a correct unambiguous explanation is
given then award the mark.
[1]
M7.
Award TWO marks for the correct answer of 67
If the answer is incorrect, award ONE mark for evidence of an appropriate method, eg
7 gaps = 77
1 gap = 11
Answer need not be obtained for the award of the mark.
Up to 2
[2]
M8.
(a) Answer for tin can joined to the time line in the range
1805 to 1815 exclusive.
1
(b)
Answer for computer joined to the time line in the range
1940 to 1950 exclusive.
1
[2]
M9.
20
1
33.125
Accept equivalent fractions or decimals
1
U1
[2]
Page 12 of 15
M10.
Award TWO marks for all four letters in the correct order as shown:
99
J
29
G
–83
A
–15
E
44
H
If the answer is incorrect, award ONE mark for three letters correct.
Up to 2
[2]
M11.
Award TWO marks for a multiple of 15 which is greater than 100, eg
105 OR 120 OR 135 OR 150 OR 300
Accept more than one answer if all are correct.
If the answer is incorrect, award ONE mark for evidence of appropriate method, eg:
Accept for ONE mark 30, 45, 60, 75 OR 90
← Not spotting matching number (105)
← One step size incorrect (96 to 98)
← One step size incorrect (75 to 80)
← Multiple greater than 100 but not calculated
Answer need not be obtained for the award of ONE mark.
Up to 2
[2]
M12.
B
Accept unambiguous indication
[1]
Page 13 of 15
M13.
Gives a correct explanation with a number x such that 50 ≤ x < 55, or −5 < x < 5,
as an example, eg:
•
53 to the nearest hundred is 100, and to the nearest ten is 50 and 2 × 50 = 100
•
If it’s 50 or more but less than 55 it will round to 100 (nearest hundred) and 50
(nearest ten) and 100 is double 50
•
0 is 0 to the nearest 100 and 0 to the nearest 10 and twice 0 is 0
Accept minimally acceptable explanation, eg:
•
51 rounds to 50 and 100
•
54
50 and 54
100
•
50 rounds to 100
•
0 rounds to 0
Do not accept incomplete or incorrect explanation, eg:
•
They used 51
•
50 × 2 = 100
•
They could use between 50 and 55, which round to 100
U1
[1]
M14.
[1]
M15.
Gives only the three correct prime numbers in any order, ie:
•
37, 41, 43
2
or
Gives at least two correct prime numbers and
not more than one incorrect number, eg:
•
37, 39, 41, 43
•
39, 41, 43
•
41, 43
1
[2]
Page 14 of 15
Page 15 of 15