Download Shape Up in Maths 2015 version

New Curriculum edition
A guide for children and parents
Welcome to your new booklet explaining all about the updates to our
exciting Mathematics challenge.
There are 10 different levels for you to try and achieve. Each level will
have a number of key maths challenges to practise at home and then be
tested on in school. Every time you prove to your teacher you can
successfully do the different skills within each level, you will receive a
certificate and advance to the next level.
The levels
Circle
Semi-Circle
Triangle
Oblong
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
The shape up in maths levels are linked to the key objectives from the
new curriculum that teachers want children to be able to do mentally.
They are important skills that you should know off by heart or be able
to work out very quickly.
The aim will be to have a shape up in maths day every half-term, giving
you approximately 6 weeks to practise the skills.
Good luck and enjoy the challenge!
These are the skills that you will need to practise to help you
achieve Circle Level:
Read and Write any 2 digit number
Know number bonds to 10 off by heart
Be able to count in 2’s 5’s and 10’s
Know the names of shapes including: circle, semi-circle,
triangle, square, oblong, pentagon, hexagon and octagon
Recognise and name these shapes from drawings or
objects:
Circle
Semi-circle
Triangle
Square
Oblong
Pentagon
Hexagon
Octagon
Learn how to say and write these 2 digit numbers off by heart
Seventeen = 17
Twenty three = 23
Fifty nine = 59
Eighty = 80
Ninety four = 94
You will also get a selection of unseen 2 digit numbers to read
and write
Practise counting in 2’s 5’s and 10’s out loud
2
5
10
4
10
20
6
15
30
8
20
40
10
25
50
12
30
60
14
35
70
16
40
80
18
45
90
20
50
100
Learn your number bonds to 10 off by heart
0 and 10 1 and 9
6 and 4 7 and 3
2 and 8
8 and 2
3 and 7
9 and 1
4 and 6 5 and 5
10 and 0
These are the skills that you will need to practise to help you
achieve Semi-circle Level:
Be able to say one more or less than a number
Be able to say 10 more or 10 less than a number
Identify odd and even numbers
Be able to write 3 digit numbers
Be able to say one more or one less than any single or two digit
number.
Learn:
one more than 15 = 16
one more than 29 = 30
one less than 18 = 17
one less than 50 = 49
You will also get a selection of other 2 digit numbers to try
Be able to say ten more or ten less than any single or two digit
number.
Learn:
Ten more than 43 = 53
Ten more than 64 = 74
Ten less than 22 = 12
Ten less than 48 = 38
You will also get a selection of other 2 digit numbers to try
Identify odd and even numbers
Learn:
numbers ending in 0,2,4,6 or 8 will be EVEN
numbers ending in 1,3,5,7or 9 will be ODD
24 =
36 =
47 =
59 =
even
even
odd
odd
You will also get a selection of unseen 2 digit numbers
Be able to write 3 digit numbers
Learn:
One hundred and twenty three = 123
One hundred and sixteen = 116
One hundred and eight = 108
One hundred and seventy five = 175
You will also get a selection of unseen 3 digit numbers
These are the skills that you will need to practise to help you
achieve Triangle Level:
Recall any fact in the 2, 5 and 10 times table within 10
seconds
Recall number bonds to 20 within 10 seconds
Know your doubles and halves up to 20 off by heart
Know the 2, 5 and 10 times table off by heart
Practise the tables in order first then try jumbling them up
Learn:
1x2=2 2x2=4
6 x 2 = 12 7 x 2 = 14
3x2=6
8 x 2 = 16
1x5=5
2 x 5 = 10
6 x 5 = 30 7 x 5 = 35
3 x 5 = 15
8 x 5 = 40
1 x 10 = 10 2 x 10 = 20
6 x 10 = 60 7 x 10 = 70
4x2=8
9 x 2 = 18
5 x 2 = 10
10 x 2 = 20
4 x 5 = 20 5 x 5 = 25
9 x 5 = 45 10 x 5 = 50
3 x 10 = 30
8 x 10 = 80
4 x 10 = 40 5 x 10 = 50
9 x 10 = 90 10 x 10 = 100
Know the doubles and halves up to 20 off by heart in any order
Learn
Double 6 = 12
Double 9 = 18
Half of 8 = 4
Half of 14 = 7
Doubles 1 = 2
7 = 14
Halves 2 = 1
14 = 7
2=4
8 = 16
4 =2
16 = 8
3=6
9 = 18
6=3
18 = 9
4=8
10 = 20
8=4
20 = 10
5 = 10
6 = 12
10 = 5
12 = 6
Be able to recall number bonds to 20 within 15 seconds
Learn
3 + 17 = 20
6 + 14 = 20
11 = 9 = 20
18 + 2 = 20
You will also get a selection from the following
1 + 19 = 20
2 + 18 = 20
3 + 17 = 20
4 + 16 = 20
5 + 15 = 20
6 + 14 = 20
7 + 13 = 20
8 + 12 = 20
9 + 11 = 20
10 + 10 = 20
These are the skills that you will need to practise to help you
achieve Oblong Level:
Know pairs of multiples of 10 to 100 off by heart
Know pairs of multiples of 5 to 100 within 10 seconds
Be able to add and subtract digits between 1 and 20 within
15 seconds
Know pairs of multiples of ten to make 100 off by heart
Learn
20 + 80 = 100
40 + 60 = 100
70 + 30 = 100
90 + 10 = 100
You will also get a selection of other multiples of ten
Know number pairs of multiples of 5 to 100 within 10 seconds
Learn
5 + 95 = 100
25 + 75 = 100
65 + 35 = 100
85 + 15 = 100
You will also get a selection of other multiples of 5
Be able to accurately add and subtract two digits between 1
and 20 within 15 seconds
Learn
7 + 5 = 12
8 + 7 = 15
13 – 6 = 7
16 – 4 = 12
You will also get unseen calculations between 1 and 20
These are the skills that you will need to practise to help you
achieve Pentagon Level:
Know the doubles and halves of any multiple of 10 off by
heart
Know and recall all the multiplication and division facts of the
2,3,4,5 and 10 x table
Add or subtract a single digit number to a two digit number
within 10 seconds
Mentally add or subtract a one digit number from a two digit
number
Learn
24 + 6 = 30
37 + 5 = 42
53 – 4 = 49
62 – 4 = 58
You will also get a selection of unseen calculations
Know and recall all the times tables and division facts in the
2,3,4,5 and 10 times tables
Learn
2x3=6
6÷3=2
3 x 4 = 12
12 ÷ 4 = 3
4 x 5 = 20
20 ÷ 5 = 4
5 x 10 = 50
50 ÷ 10 = 5
6 x 2 = 12
12 ÷ 2 = 6
7 x 3 = 21
21 ÷ 3 = 7
8 x 4 = 32
32 ÷ 4 = 8
9 x 5 = 45
45 ÷ 5 = 9
You will also get a selection of facts from any of these times tables
Know the doubles and halves of any multiple of ten off by
heart
Learn
Double 20 = 40
Double 60 = 120
Half of 30 = 15
Half of 70 = 35
You will also get a selection of doubles and halves of 10, 20, 30, 40,
50, 60, 70, 80, 90
These are the skills that you will need to practise to help you
achieve Hexagon Level:
Know or calculate number bonds to 100 within 10 seconds
Know and recall all times tables and division facts up to 12 x
12 within 10 seconds
Be able to double or halve any 2 digit number within 10
seconds
Be able to round any whole number to the nearest 10, 100 or
1000
Be able to double or halve any two digit number within ten seconds
Learn
Double 24 = 48
Double 56 = 112
Half of 64 = 32
Half of 74 = 37
Practise doubling the tens then the units and then add them together
Practise halving the tens then the units and then add them together
You will also get a selection of unseen two digit numbers to double/halve
Know numbers bonds to 100 or calculate within 10 seconds
Learn
24 + 76 = 100
47 + 53 = 100
64 + 36 = 100
71 + 29 = 100
Start at the small number and count on until you get to the next ten.
Then add the correct number of tens to reach 100
Example
24 ….. add 6 to get to the next ten (30)
Then add 70 to reach 100
In total you added 76 (24 + 76 = 100)
Know all times tables and division facts up to 12 x 12 off by heart
Learn
2x2=4
3x3=9
4 x 4 = 16
5 x 5 = 25
6 x 6 = 36
7 x 7 = 49
8 x 8 = 64
9 x 9 = 81
81 ÷ 9 = 9
64 ÷ 8 = 8
49 ÷ 7 = 7
36 ÷ 6 = 6
25 ÷ 5 = 5
16 ÷ 4 = 4
9÷3=3
4÷2=2
You will also get a selection of unseen facts
Round any whole number to the nearest 10, 100 or 1000
Learn
Nearest 10
64 = 60
175 = 180
267 =270
1232 = 1230
Nearest 100
145 = 100
268 = 300
749 = 700
3289 = 3300
Nearest 1000
1234 = 1000 2567 = 3000 4511 = 5000
6439 = 6000
You will also get a selection of unseen numbers to round
Remember the rules
Rounding to the nearest ten – check the last digit – if it is 5 or
above you round to the next ten
Rounding to the nearest hundred – check the last 2 digits – if it is
50 or above you round to the next hundred
Rounding to the nearest thousand – check the last 3 digits – if they
are 500 or above you round to the next thousand
These are the skills that you will need to practise to help you
achieve Heptagon Level:
Be able to multiply and divide any whole or decimal number
by 10,100 or 1000
Be able to mentally find the difference between pairs of two
digit numbers within 10 seconds
Be able to round decimals to the nearest whole or tenth
Be able to multiply and divide any whole or decimal number by
10, 100 or 1000
Learn
24 x 10 = 240
13450 ÷10 = 1345
37 x 100 = 3700
23400 ÷100 = 234
45 x 1000 = 45000
54000 ÷1000 = 54
Hint check your number of zeros
Learn
0.034 x 10 = 0.34
54 ÷ 10 = 5.4
0.64 x 10 = 6.4
78 ÷ 100 = 0.78
7.3 x 10 = 73.0
83 ÷ 1000 = 0.083
Move the digits the correct number of places
X a decimal by 10 the digits move one place
X a decimal by 100 the digits move 2 places
X a decimal by 1000 the digits move 3 places
Do the opposite for division
Find the difference between pairs of 2 digit numbers
Learn
62 – 34 = 28 73 – 25 = 48 91 – 26 = 65 82 – 53 = 29
Start at the large number than take away the tens then take
away the units
Example 62 – 34 = 28
Start with 62 – 30 = 32
Then 32 – 4 = 28
You will get a selection of unseen problems
Be able to round decimals to the nearest whole tenth or
hundredth
Learn
Nearest whole
2.34 = 2
4.78 = 5
17.52 = 18
64 .37 = 64
Think of money to help you (£2.34 is nearer to £2 than
£3)
Nearest tenth
3.43 = 3.40 6.28 = 6.30 7.45 = 7.50 8.77 = 8.80
(think nearest 10 p to help you)
You will also get an unseen selection of decimals to round
These are the skills that you will need to practise to help you
achieve Octagon Level:
Be able to find fractions of amounts including 2 step
fractions within 10 seconds
Be able to calculate time intervals across the hour within 15
seconds
Be able to calculate change problems from £10 or £20 within
15 seconds
Be able to find fractions of amounts including two step fractions
within 10 seconds
Learn
1/4 of 20 = 5
1/3 of 12 = 4
1/5 0f 30 = 6
2/3 of 15 = 10
3/4 of 24 = 18
4/5 0f 35 = 28
Find single unit fractions by dividing by the number on the bottom
Example – 1/4 of 20 means 20 ÷ 4 = 5
Find two step fractions by dividing by the number on the bottom then
multiplying it by the number on the top
Example – 2/3 of 15 means 15 ÷ 3 = 5, then 5 x 2 = 10
Be able to calculate time intervals across the hour within 15
seconds
Learn
2:45 add 20 minutes = 3:05
4:15 add 25 minutes = 4:40
6:50 add 45 minutes = 7:35
8 :25 add 50 minutes = 9:15
You have to count on in chunks of 5 or ten minutes from the time
you are given
You will be given unseen time intervals to calculate
Be able to calculate change problems from £10 or £20
Learn
£10 – £4.65 = £5.35
£10 – £2.78 = £7 .72
£20 – £12.50 = £7.50
£20 – £3.83 = £16 .17
You can count on to the next pound from the small number and then in
pounds to reach the target number
Example £10 - £4.65 = £5.35
Start at £4.65 and add on 35p to reach £5
Then add on £5 to reach £10
Add the £5 and 35p to make £5.35
These are the skills that you will need to practise to help you
achieve Nonagon Level:
Be able to double, halve, add and subtract decimals with up
to 2 decimal places within 10 seconds
Be able to carry out money adjusting problems within 15
seconds
Learn to convert between any unit of measurement using
multiplication and division by 10, 100 or 1000
Be able to double, halve, add
decimal places
Learn
Double
2.34 = 4.68
Half of 6.46 = 3.23
Add
2.45 + 3.26 = 5.71
Subtract 3.78 – 1.54 = 2.24
and subtract any decimal with 2
4.56 = 9.12
12.74 = 25.48
8.72 = 4.36
16.52 = 8 .26
3.78 + 4.63 = 8.41
7.23 – 3.67 = 3.56
You will get unseen examples to calculate within 10 seconds
Be able to carry out money adjusting problems within 15 seconds
Learn
£2.99 x 3 = £8.97
£3.98 x 2 = £7.96
£4.95 x 5 = £24.75
£ 5.97 x 3 = £ 17.91
You should call the value to the nearest pound and then adjust
your answer at the end by how much extra you added
Example
£2.99 x 3 – call the £2.99 three pounds instead
Then do £3 x by three to make £9
But you add an extra 1p three times, so you need to subtract 3p
from £9 – this make as a final total of £8.97
You will get unseen money problems to adjust
Convert any unit of measurement using multiplying and dividing by
10, 100 or 1000
Learn
10 mm = 1cm
100 cm = 1m
1000m = 1 km
1000g = 1 kg
1000ml = 1L
So
50mm = 5cm
600cm = 6m
3000m = 3km
2500g = 2.500Kg
3700ml = 3.700L
These are the skills that you will need to practise to help you
achieve Decagon Level:
Be able to multiply two by one digit numbers mentally within
15 seconds
Be able to find 10%, 25% or 50% of any value within 10
seconds
Be able to adjust near multiples to allow two by two digit
multiplication within 15 seconds
Be able to multiply two digit numbers by a one digit number mentally
using partitioning within 15 seconds
Learn
15x6 = 90
23 x4 = 92
35 x6 = 210
47 x 4 = 188
You need to multiply the tens first and then multiply the units. Finally
add the two parts back together
Example
35 x 6 = 210
Start with 30 x 6 = 180
Then 5 x 6 = 30
Finally 180 + 30 = 210
Be able to find 10%, 25% or 50% of any number within 10 seconds
Learn
10% of 64 = 6.4
10% of 12.5 = 1.25
(just divide by ten and move the digits one place)
25% of 48 = 12
25% of 86 = 21.5
(just halve it and halve it again)
50% of 92 = 46
50% of 12.68 = 6.34
(just halve it)
You will also get some unseen percentages
Be able to adjust near multiples of ten to help mentally multiply two
by two digit numbers
Learn
21 x 12 = 252
19 x 13 = 247
32 x 15 = 480
You need to adjust the number to the nearest ten to make the
calculation easier
Example
21 x 12 = 252
First call 21 twenty and then multiply it by 12 to make 240
Then add one more 12 (because we only did 20 x 12 so far and we
need to do 21 x 12) so 240 + 12 = 252
You will also get unseen examples to calculate