12 - Grange Federation

Maths TT Challenge
(Linked also to Maths Passports)
Parent Handbook
Grange Federation
Foundation Stage – Year 6
Maths TT Challenge
Objectives to be learnt within the TT Challenge
Early Years Foundation Stage
Year 1
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Count up and back in 1’s from any number 0 –
20
Count up and back in 2’s from multiples of 2 to
20
Find the dounbles of numbers to double 5
Solve real life problems involving halving
Solve real life problems involving sharing
Counting up in 5’s to 50 from 0 and back fom
50 in 5’s
Counting up and back in 10’s from any multiple
of 10 to 100
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Year 3
2, 5 and 10 times table
Double numbers up to double 10
Halve numbers up to 20
Inverse operations e.g. 30 ÷ 10 = 3
Counting up and back in jumps of 10 from any given
number below 100
Counting up and back in jumps of 2 and 5 from any
multiple of 2 and 5 (e.g. 12 and 25)
Year 2
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Year 4
Year 5 and Year 6
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2, 3, 4, 5, 8, 10, 50 and 100 times tables
Counting up and back in jumps of 2, 3, 4, 5, 10 from
any given number
Counting up and back in jumps of 8 from any
multiple of 8
Counting up in jumps of 50 and 100 from any given
number (e.g. 16  66  116  166 or 16  116 
216)
Inverse operations within 2, 3, 4, 5, 8, 10 times
tables
Doubling and halving
Clock face – counting in 5’s around the clock face to
support telling the time
Tens and units multiplied by units e.g. 25 x 4
Factors of numbers within their times table
knowledge
Prime numbers below 20
Recognise Roman Numerals from I  X
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2, 3, 4, 5, 6, 7, 8, 9, 10, 25, 50, 100 and 1000
times tables
Counting up and back in jumps of 2, 3, 4, 5, 6, 7,
8, 9, 10, 25, 50, 100 and 1000 from any given
number
Inverse operations within 2, 3, 4, 5, 6, 7, 8, 9,
10, 25, 50, 100 and 1000 times tables
Doubling and halving
Rounding numbers to nearest 10
Multiplying three digits together, e.g. 2 x 3 x 5
Tens and units multiplied by units e.g. 25 x 4
Factors of numbers within their times table
knowledge
Prime numbers below 50
Recognise Roman Numerals from I  C
2, 5 and 10 times tables
Jumps in 3 and 4
Doubling and halving
Inverse operations within 2, 5 and 10 times tables
Counting up and back in jumps of 2, 5 and 10 from
any given number below 100
Counting up and back in jumps of 3 and 4 from any
multiple of 3 and 4
Clock face – counting in 5’s around the clock face to
support telling the time
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2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 25, 50, 100 and 1000
times tables
Count up and back in decimals jumps (0.125, 0.25,
0.5, 0.75)
Counting up and back (including negative numbers)
in jumps 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 25, 50, 100
and 1000 from any given number up to and
including 1 000 000
Inverse operations within all times tables (2  12)
Doubling and halving for numbers below 1 000 000
Clock face – counting in 5’s around the clock face to
support telling the time Hundreds, tens and units
multiplied by units e.g. 125 x 4
Factors of numbers within their times table
knowledge
Common factors between two numbers, e.g. 12
and 15 both have 3 as a common factor
Prime numbers below 100
Recognise Roman Numerals from I  M
Squared numbers (up to and including 12 x 12)
Square root of numbers (up to and including 144)
Early Years Foundation Stage
Count up and back in 1’s from
any number 0  20
Count up and back in 2’s from
multiples of 2  20
Find doubles of numbers to
double 5
3, 4, 5, 6, 7, 8…
13, 14, 15, 16…
11, 12, 13, 14…
18, 19, 20
2, 4, 6, 8…
14, 16, 18…
0+0=0
1+1=2
2+2=4
3+3=6
4+4=8
5 + 5 = 10
10, 8, 6, 4…
20, 18, 16, 14…
9, 8, 7, 6, 5…
15, 14, 13, 12…
Solve real problems involving halving:
E.g. Jan made 4 playdough cakes, she shared them between 2
people. “1 for you, 1 for you, 1 for you and 1 for you”. That is 2
each – that is fair!”
Solve real problems involving sharing:
E.g. Jan made 4 playdough worms, she shared them between 4
owls. “1 for you, 1 for you, 1 for you and 1 for you”. That is 1 each
– that is fair!”
Counting up in 5’s to 50 and back from 50 in 5’s
Counting up and back in 10’s from any multiple of
10 to 100
5, 10, 15, 20…
35, 40, 45, 50
30, 35, 40…
10, 20, 30, 40…
70, 80, 90…
30, 40, 50, 60…
35, 30, 25, 20…
50, 45, 40…
25, 20, 15, 10…
90, 80, 70, 60…
30, 20, 10, 0
60, 50, 40, 30…
If your child can do these – then why not take a look at the Year 1 TT Challenge
Year 1
2, 5 and 10 times table (in any order as well as chanting)
Inverse operations e.g. 30 ÷ 10 = __
2 x table
0x2=0
1x2=2
2x2=4
3x2=6
4x2=8
5 x 2 = 10
6 x 2 = 12
7 x 2 = 14
8 x 2 = 16
9 x 2 = 18
10 x 2 = 20
11 x 2 = 22
12 x 2 = 24
Inverse
0÷2=0
2÷2=1
4÷2=2
6÷2=3
8÷2=4
10 ÷ 2 = 5
12 ÷ 2 = 6
14 ÷ 2 = 7
16 ÷ 2 = 8
18 ÷ 2 = 9
20 ÷ 2 = 10
22 ÷ 2 = 11
24 ÷ 2 = 12
5 x table
0x5=0
1x5=5
2 x 5 = 10
3 x 5 = 15
4 x 5 = 20
5 x 5 = 25
6 x 5 = 30
7 x 5 = 35
8 x 5 = 40
9 x 5 = 45
10 x 5 = 50
11 x 5 = 55
12 x 5 = 60
Inverse
0÷5=0
5÷5=1
10 ÷ 5 = 2
15 ÷ 5 = 3
20 ÷ 5 = 4
25 ÷ 5 = 5
30 ÷ 5 = 6
35 ÷ 5 = 7
40 ÷ 5 = 8
45 ÷ 5 = 9
50 ÷ 5 = 10
55 ÷ 5 = 11
60 ÷ 5 = 12
10 x table
0 x 10 = 0
1 x 10 = 10
2 x 10 = 20
3 x 10 = 30
4 x 10 = 40
5 x 10 = 50
6 x 10 = 60
7 x 10 = 70
8 x 10 = 80
9 x 10 = 90
10 x 10 = 100
11 x 10 = 110
12 x 10 = 120
Inverse
0 ÷ 10 = 0
10 ÷ 10 = 1
20 ÷ 10 = 2
30 ÷ 10 = 3
40 ÷ 10 = 4
50 ÷ 10 = 5
60 ÷ 10 = 6
70 ÷ 10 = 7
80 ÷ 10 = 8
90 ÷ 10 = 9
100 ÷ 10 = 10
110 ÷ 10 = 11
120 ÷ 10 = 12
Doubling and halving within 2, 5 and 10 times tables
Within the 2 x table
Within the 5 x table
Within the 10 x table
6 doubled = 6 x 2 = 12
30 doubled = 30 x 2 = 60
100 doubled = 100 x 2 = 200
8 doubled = 8 x 2 = 16
50 doubled = 50 x 2 = 100
70 doubled = 70 x 2 = 140
9 doubled = 9 x 2 = 18
Half of 50 = 50 ÷ 2 = 25
Half of 100 = 100 ÷ 2 = 50
Half of 10 = 10 ÷ 2 = 5
Half of 25 = 25 ÷ 2 = 12 ½
Half of 80 = 80 ÷ 2 = 40
Half of 8 = 8 ÷ 2 = 4
Counting up and back in jumps of 2, 5 and 10 from any given number below 100 e.g. starting
at 3, count up in 2’s, 5’s and 10’s
Counting up and back in 2’s Counting up and back in 5’s Counting up and back in 10’s
4  6  8  10  12
12  10  8  6  4
15  20  25  30
45  40  35  30
30  40  50  60
43  33  23  13  3
If you can do these – then why not take a look at the Year 2 TT Challenge
Year 2
2, 3, 4, 5 and 10 times table (in any order as well as chanting)
Inverse operations e.g. 27 ÷ 3 = __
3 x table
Inverse
4 x table
Inverse
0x3=0
0÷3=0
0x4=0
0÷4=0
1x3=3
3÷3=1
1x4=4
4÷4=1
2x3=6
6÷3=2
2x4=8
8÷4=2
3x3=9
9÷3=3
3 x 4 = 12
12 ÷ 4 = 3
4 x 3 = 12
12 ÷ 3 = 4
4 x 4 = 16
16 ÷ 4 = 4
5 x 3 = 15
15 ÷ 3 = 5
5 x 4 = 20
20 ÷ 4 = 5
6 x 3 = 18
18 ÷ 3 = 6
6 x 4 = 24
24 ÷ 4 = 6
7 x 3 = 21
21 ÷ 3 = 7
7 x 4 = 28
28 ÷ 4 = 7
8 x 3 = 24
24 ÷ 3 = 8
8 x 4 = 32
32 ÷ 4 = 8
9 x 3 = 27
27 ÷ 3 = 9
9 x 4 = 36
36 ÷ 4 = 9
10 x 3 = 30
30 ÷ 3 = 10
10 x 4 = 40
40 ÷ 4 = 10
11 x 3 = 33
33 ÷ 3 = 11
11 x 4 = 44
44 ÷ 4 = 11
12 x 3 = 36
36 ÷ 3 = 12
12 x 4 = 48
48 ÷ 4 = 12
Doubling and halving within 2, 3, 4, 5 and 10 times tables
Within the 3 x table
Within the 4 x table
6 doubled = 6 x 2 = 12
16 doubled = 16 x 2 = 32
12 doubled = 12 x 2 = 24
48 doubled = 48 x 2 = 96
15 doubled = 15 x 2 = 30
Half of 48 = 48 ÷ 2 = 24
Half of 18 = 18 ÷ 2 = 9
Half of 32 = 32 ÷ 2 = 16
Half of 36 = 36 ÷ 2 = 18
Counting up and back in jumps of 2, 3, 4, 5 and 10 from any given number within the 2, 3, 4,
5 and 10 times table
Counting up and back in 4’s
8  12  16  20  24
24  20  16  12  8
Counting up and back in 3’s
9  12  15  18  21
21  18  15  12  9
Clock face – counting in 5’s around the clock face to support telling the time
How many minutes is the minute hand pointing to?
If you can do these – then why not take a look at the Year 3 TT Challenge
Year 3
2, 3, 4, 5, 8 and 10 times table (in any order as well as chanting)
Inverse operations e.g. 27 ÷ 3 = __
8 x table
Inverse
Roman Numerals
Doubling and halving
within 8 times tables
to 10
to 20
0x8=0
0÷8=0
I
1 XI
11
8 doubled = 8 x 2 = 16
1x8=8
8÷8=1
II 2 XII 12
32 doubled = 32 x 2 = 64
2 x 8 = 16
16 ÷ 8 = 2
III 3 XIII 13
64 doubled = 64 x 2 = 128
3 x 8 = 24
24 ÷ 8 = 3
IV 4 XIV 14
4 x 8 = 32
32 ÷ 8 = 4
V 5 XV 15
Half of 56 = 56 ÷ 2 = 28
5 x 8 = 40
40 ÷ 8 = 5
VI 6 XVI 16
Half of 24 = 24 ÷ 2 = 12
6 x 8 = 48
48 ÷ 8 = 6
VII 7 XVII 17
Prime numbers below 20
7 x 8 = 56
56 ÷ 8 = 7
VIII 8 XVIII 18
8 x 8 = 64
64 ÷ 8 = 8
IX 9 XIX 19
9 x 8 = 72
72 ÷ 8 = 9
X 10 XX 20
10 x 8 = 80
80 ÷ 8 = 10
11 x 8 = 88
88 ÷ 8 = 11
12 x 8 = 96
96 ÷ 8 = 12
2, 3, 5, 7, 11,
13, 17, 19
Counting up and back in 8’s Counting up and back in 50’s Counting up and back in 100’s
from any multiple of 50
from any given number
from any multiple of 8
24  32  40  48
450  500  550
3  103  203  303
Clock face – counting in 5’s around the clock face to support telling the time
How many minutes is the minute hand pointing to?
Tens and units multiplied by units mentally
25 x 4 = 100
36 x 3 = 108
99 x 9 = 891
Factors of numbers within times tables knowledge
Factors of 18 =
1 and 18
2 and 9
6 and 3
Factors of 9 =
1 and 9
3 (and 3)
Factors of 36=
36 and 1
18 and 2
12 and 3
9 and 4
If you can do these – then why not take a look at the Year 4 TT Challenge
Year 4
2, 3, 4, 5, 6, 7, 8, 9, 10 11 and 12 times table (in any order as well as chanting)
Inverse operations e.g. 27 ÷ 3 = __
6 x table
Inverse
7 x table
Inverse
9 x table
Inverse
0x6=0
0÷6=0
0x7=0
0÷7=0
0x9=0
0÷9=0
1x6=6
6÷6=1
1x7=7
7÷7=1
1x9=9
9÷9=1
2 x 6 = 12
12 ÷ 6 = 2
2 x 7 = 14
14 ÷ 7 = 2
2 x 9 = 18
18 ÷ 9 = 2
3 x 6 = 18
18 ÷ 6 = 3
3 x 7 = 21
21 ÷ 7 = 3
3 x 9 = 27
27 ÷ 9 = 3
4 x 6 = 24
24 ÷ 6 = 4
4 x 7 = 28
28 ÷ 7 = 4
4 x 9 = 36
36 ÷ 9 = 4
5 x 6 = 30
30 ÷ 6 = 5
5 x 7 = 35
35 ÷ 7 = 5
5 x 9 = 45
45 ÷ 9 = 5
6 x 6 = 36
36 ÷ 6 = 6
6 x 7 = 42
42 ÷ 7 = 6
6 x 9 = 54
54 ÷ 9 = 6
7 x 6 = 42
42 ÷ 6 = 7
7 x 7 = 49
49 ÷ 7 = 7
7 x 9 = 63
63 ÷ 9 = 7
8 x 6 = 48
48 ÷ 6 = 8
8 x 7 = 56
56 ÷ 7 = 8
8 x 9 = 72
72 ÷ 9 = 8
9 x 6 = 54
54 ÷ 6 = 9
9 x 7 = 63
63 ÷ 7 = 9
9 x 9 = 81
81 ÷ 9 = 9
10 x 6 = 60
60 ÷ 6 = 10
10 x 7 = 70
70 ÷ 7 = 10
10 x 9 = 90
90 ÷ 9 = 10
11 x 6 = 66
66 ÷ 6 = 11
11 x 7 = 77
77 ÷ 7 = 11
11 x 9 = 99
99 ÷ 9 = 11
12 x 6 = 72
72 ÷ 6 = 12
12 x 7 = 84
84 ÷ 7 = 12
12 x 9 = 108
108 ÷ 9 = 12
11 x table
0 x 11 = 0
1 x 11 = 11
2 x 11 = 22
3 x 11 = 33
4 x 11 = 44
5 x 11 = 55
6 x 11 = 66
7 x 11 = 77
8 x 11 = 88
9 x 11 = 99
10 x 11 = 110
11 x 11 = 121
12 x 11 = 132
1x2x3=6
4 x 5 x 3 = 60
8 x 9 x 2 = 144
Inverse
0 ÷ 11 = 0
11 ÷ 11 = 1
22 ÷ 11 = 2
33 ÷ 11 = 3
44 ÷ 11 = 4
55 ÷ 11 = 5
66 ÷ 11 = 6
77 ÷ 11 = 7
88 ÷ 11 = 8
99 ÷ 11 = 9
110 ÷ 11 = 10
121 ÷ 11 = 11
132 ÷ 11 = 12
12 x table
0 x 12 = 0
1 x 12 = 12
2 x 12 = 24
3 x 12 = 36
4 x 12 = 48
5 x 12 = 60
6 x 12 = 72
7 x 12 = 84
8 x 12 = 96
9 x 12 = 108
10 x 12 =120
11 x 12 = 132
12 x 12 = 144
5 x 5 x 3 = 75
9 x 9 x 9 = 729
3 x 5 x 4 = 80
Inverse
0 ÷ 12 = 0
12 ÷ 12 = 1
24 ÷ 12 = 2
36 ÷ 12 = 3
48 ÷ 12 = 4
60 ÷ 12 = 5
72 ÷ 12 = 6
84 ÷ 12 = 7
96 ÷ 12 = 8
108 ÷ 12 = 9
120 ÷ 12 = 10
132 ÷ 12 = 11
144÷ 12 = 12
Multiplying three single
digit numbers together
25 x
table
25
50
75
100
125
150
175
200….
50 x
table
50
100
150
200…
100 x
table
100
200
300
400…
And from any number…
17
34
72
42
84
172
67
134
272
92
184
372
1000 x
table
1000
2000
3000
4000…
56
1056
2056
3056
Roman Numerals
to 10
to 20
I
1 XI
11
II
2 XII
12
III 3 XIII
13
IV 4 XIV
14
V
5 XV
15
VI 6 XVI
16
VII 7 XVII 17
VIII 8 XVIII 18
IX 9 XIX
19
X
10 XX
20
to 100
XXX 30 LXXX 80
XL 40 XC
90
L
50 C
100
LX 60
LXX 70
Doubling and halving
within all times tables
8 doubled = 8 x 2 = 16
32 doubled = 32 x 2 = 64
64 doubled = 64 x 2 = 128
Half of 56 = 56 ÷ 2 = 28
Half of 24 = 24 ÷ 2 = 12
Prime numbers below 50
2, 3, 5, 7, 11, 13,
17, 19, 23, 29, 31,
37, 41, 43, 47
Rounding to nearest 10
63  60
98  100
576  580
Counting up and back in 8’s
from any given number
Counting up and back in
50’s from any given
number
3  11  19  27  35 3  53  103  153
Counting up and back in
100’s from any given
number
3  103  203  303
Tens and units multiplied by units mentally
25 x 4 = 100
36 x 3 = 108
99 x 9 = 891
Factors of numbers within times tables knowledge
Factors of 18 =
1 and 18
2 and 9
6 and 3
Factors of 9 =
1 and 9
3 (and 3)
Factors of 36=
36 and 1
18 and 2
12 and 3
9 and 4
If you can do these – then why not take a look at the Year 5 and 6 TT Challenge
Year 5 and Year 6
All times table (in any order as well as chanting) as well as 0.125, 0.25, 0.5 and 0.75
Inverse operations e.g. 30 ÷ 10 = __
0.125 x table
0.25 x table
0 x 0.125 = 0
1 x 0.125 = 0.125
2 x 0.125 = 0.25
3 x 0.125 = 0.375
4 x 0.125 = 0.5
5 x 0.125 = 0.625
6 x 0.125 = 0.75
7 x 0.125 = 0.875
8 x 0.125 = 1
9 x 0.125 = 1.125
10 x 0.125 = 1.25
11 x 0.125 = 1.375
12 x 0.125 = 1.5
0 x 0.25 = 0
1 x 0.25 = 0.25
2 x 0.25 = 0.5
3 x 0.25 = 0.75
4 x 0.25 = 1
5 x 0.25 = 1.25
6 x 0.25 = 1.5
7 x 0.25 = 1.75
8 x 0.25 = 2
9 x 0.25 = 2.25
10 x 0.25 = 2.5
11 x 0.25 = 2.75
12 x 0.25 = 3
0.5 x table
0 x 0.5 = 0
1 x 0.5 = 0.5
2 x 0.5 = 1
3 x 0.5 = 1.5
4 x 0.5 = 2.0
5 x 0.5 = 2.5
6 x 0.5 = 3.0
7 x 0.5 = 3.5
8 x 0.5 = 4.0
9 x 0.5 = 4.5
10 x 0.5 = 5.0
11 x 0.5 = 5.5
12 x 0.5 = 6.0
0.75 x table
0 x 0.75 = 0
1 x 0.75 = 0.75
2 x 0.75 = 1.5
3 x 0.75 = 2.25
4 x 0.75 = 3.0
5 x 0.75 = 3.75
6 x 0.75 = 4.5
7 x 0.75 = 5.25
8 x 0.75 = 6
9 x 0.75 = 6.75
10 x 0.75 = 7.5
11 x 0.75 = 8.25
12 x 0.75 = 9
Count back in jumps from a given
starting point using negative
numbers
Count back in 5’s from 8…
8, 3, -2, -7, -12…
Count back in 0.5’s from 1…
1, 0.5, 0, -0.5, -1…
Know that:
1 000 000 is one million
750 000 is seven hundred and fifty thousand
or three quarters of a million
500 000 is five hundred thousand
or half a million
250 000 is two hundred and fifty thousand,
or quarter of a million
I can double and halve any
number below 1 000 000
Tens and units multiplied by units mentally
25 x 4 = 100
36 x 3 = 108
99 x 9 = 891
Hundreds, tens and units multiplied by units mentally
325 x 4 = 1300
136 x 3 = 408
999 x 9 = 8991
Factors of numbers within times tables knowledge
Factors of 18 =
1 and 18
2 and 9
6 and 3
Factors of 9 =
1 and 9
3 (and 3)
Factors of 36=
36 and 1
18 and 2
12 and 3
9 and 4
Common factors of two numbers within times tables knowledge
Common Factors of
18 and 12=
2, 3, 4, 6
Common Factor of
9 and 15=
3
Common Factors of
4 and 36=
2 and 4
Recognise Roman Numerals from I  M
M = 1000 – use the table to try and make a range of numbers!
Recognise all the prime number below 100
2
3 5 7 11 13 17 19 23 29
31 37 41 43 47 53 59 61 67
71 73 79 83 89 97
Know the square numbers up to and including 12 x
12…
4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144 (and
continue if you have learnt these!)
Know the root numbers of squared numbers…
e.g. the root number of 144 is 12 ( 12 x 12 is 144)
the root of 36 is 6 (6 x 6 is 36)