Q1.
Complete this three-digit number so that it is a multiple of 9.
1 mark
Q2.
Circle one number on the grid which can be divided by 9 with a remainder of 1.
1 mark
Page 1 of 12
Q3.
Write these numbers in the correct places on the Venn diagram.
Some numbers are already placed.
99
170
221
2 marks
Q4.
Here is a diagram for sorting numbers.
Write these three numbers in the correct boxes.
You may not need to use all of the boxes.
9
17
20
2 marks
Page 2 of 12
Q5.
Circle all the multiples of 8 in this list of numbers.
18
32
56
68
72
1 mark
Q6.
Here are four number cards.
Which two number cards are factors of 42?
1 mark
Q7.
Here is a diagram for sorting numbers.
Write one number in each white section of the diagram.
less
than 1000
1000
or more
multiples
of 20
not multiples
of 20
2 marks
Page 3 of 12
Q8.
Here are four digit cards.
Choose two cards each time to make the following two-digit numbers.
The first one is done for you.
an even number
a multiple of 9
a square number
a factor of 96
2 marks
Q9.
Here is a sorting diagram for numbers.
Write a number less than 100 in each space.
even
not even
a square number
not a square number
2 marks
Page 4 of 12
Q10.
Here is a number sentence.
+ 27 > 85
Circle all the numbers below that make the number sentence correct.
30
40
50
60
70
1 mark
Q11.
Write these numbers in the correct places on the diagram.
5
6
7
8
2 marks
Q12.
Write one number which fits all three of these statements.
It is a multiple of 4
It is a multiple of 6
It ends in ’8’
1 mark
Page 5 of 12
Explain why a number which ends in ’3’ cannot be a multiple of 4
1 mark
Q13.
Here are six digit cards.
Use all six digit cards to make three multiples of 3
1 mark
Page 6 of 12
M1.
Any three-digit number that is a multiple of 9,eg:
If correct, the sum of the digits will be 9 or 18.
If boxes are blank, accept answer elsewhere on the page.
[1]
M2.
109 OR 118 circled.
Accept both 109 and 118 circled.
[1]
M3.
Award TWO marks for all three numbers correctly placed in the
regions as shown:
If the answer is incorrect, award ONE mark for two numbers correctly placed.
Do not accept a number repeated in different regions, eg
Do not penalise answers which offer additional numbers
(other than 99, 170, and 221) on the diagram, whether correctly
placed or not.
Up to 2
[2]
Page 7 of 12
M4.
Award TWO marks for numbers placed in boxes as shown below:
If the answer is incorrect, award ONE mark for two numbers correctly placed.
Do not accept a number repeated in different boxes.
Ignore any numbers on the diagram other than those given.
Up to 2
[2]
M5.
All three numbers circled as shown:
Do not award the mark if additional incorrect numbers are circled.
Accept unambiguous alternatives, eg ticks, numbers crossed or
underlined.
[1]
M6.
Cards completed as shown:
3
and
7
Accept answers in either order.
[1]
M7.
Award TWO marks for one correct number written in each white
section of the table, eg
less
than 1000
1000
or more
multiples
of 20
100
2000
not multiples
of 20
19
1001
Page 8 of 12
If the answer is incorrect, award ONE mark for three sections completed correctly.
Accept more than one number in each section as long as all are
correct.
Up to 2
[2]
M8.
Award TWO marks for all three numbers correct as shown:
•
a multiple of 9
•
a square number
•
a factor of 96
OR
If the answer is incorrect, award ONE mark for two numbers correct.
Up to 2
[2]
M9.
Award TWO marks for a correct number written in each
of the four boxes.
even
not even
a square
number
0 OR 4 OR 16
OR 36 OR 64
1 OR 9 OR 25
OR 49 OR 81
not a square
number
even AND
not a square AND
less than 100
odd AND
not square AND
less than 100
If the answer is incorrect, award ONE mark for three boxes completed correctly.
Accept more than one number in each box, provided all are
correct.
Up to 2
[2]
Page 9 of 12
M10.
Numbers circled as shown:
Accept alternative unambiguous indications,
eg numbers ticked, crossed or underlined.
[1]
M11.
Award TWO marks for numbers written in the correct regions as shown:
If the answer is incorrect, award ONE mark for any three numbers written in the correct regions.
Do not accept numbers written in more than one region.
Accept alternative indications such as lines drawn from the
numbers to the appropriate regions of the diagram.
Lines need not touch the time line provided the intended accuracy
is clear.
Up to 2
[2]
Page 10 of 12
M12.
(a)
A multiple of 12 which ends in ‘8’, eg 48 OR 108 OR 168 OR 228 OR 288
1
(b)
An explanation which recognises that an odd number cannot be a
multiple of 4, eg:
•
‘A multiple of 4 cannot be odd’
•
‘All multiples of 4 are even’
•
‘An odd number cannot be a multiple of 4’
•
‘Multiples of 4 must end in 0, 2, 4, 6 or 8’
•
‘4, 8, 12, 16, 20, 24 don’t end in 3’.
Do not accept vague or incomplete explanations, eg:
• ‘3 is not a multiple of 4’
• ‘3 is too small’
• ‘4 is even and 3 is an odd number’
• ‘13, 23, 33 and 43 are not multiples of 4’
• ‘A number which ends in 3 cannot be a multiple of 4’
• ‘3 isn’t in the 4 times table’
• ‘4 doesn’t go into any number that ends in 3’.
U1
[2]
M13.
Three multiples of 3, eg:
OR
Multiples may be given in any order.
Digits may be in either order, eg 24 OR 42
Do not accept digits used more than once.
Do not accept digits other than those shown.
U1
[1]
Page 11 of 12
Page 12 of 12