Transcript Scorpios - Hinchingbrooke

Write down the next 3 numbers in each sequence.
1) 2, 4, 6, 8, 10, …….
2) 1, 3, 5, 7, 9, …….
3) 1, 4, 9, 16, 25, 36, ……
4) 1, 2, 1, 3, 1, 4, …….
5) 1, 1, 2, 3, 5, 8, 13, ……
6) 5, 4, 3, 2, 1, ……
7) 4, 7, 10, 13, 16, …..
8) 1, 10, 100, 1000, 10000, …..
9) 2, 4, 8, 16, …….
10) 80, 40, 20, 10, …..
11) 5, 15, 45, 135, ……
12) 3, 3, 5, 4, 4, 3, …….
Scorpios are a strange bread of bug that live in my
maths garden!
They are made of:
Some squares (for the body)
Some circles (for the limbs and bits)
Every year of their age their body ‘grows’ an extra
square. The limbs then change according to a set
rule.
AGE
1
Age
No. of Squares
n
No. of circles
c
AGE
1
2
Age
No. of Squares
n
No. of circles
c
AGE
1
2
3
Age
No. of Squares
n
No. of circles
c
AGE
1
2
3
4
Age
No. of Squares
n
No. of circles
c
AGE
1
Age
No. of Squares
n
No. of circles
c
2
3
4
How many circles in a scorpio 10 years old? What is the rule?
Harder Scorpio!!!!
AGE
1
AGE
1
2
AGE
1
2
3
AGE
1
2
3
Draw me a 4
year old scorpio.
4
How many circles on a 10 year old scorpio?
What is the ‘rule’ connecting the number of squares (age) to the
number of circles?
General Method:
1) Draw more scorpios
2) Draw a table showing the age (number of squares)
against the number of circles
3) Look at difference in the number of circles
This will tell you which times table the growth is
based on
4) Write down the time table next to the number of
circles and adjust the rule to make it work!
1)
2)
3)
4)
5)
5)
6)
7)
8)
SATS QUESTION
Number
Shape (n)
1
2
3
4
Number of
Circles (c)
2
5
8
11
Number of
Squares (s)
3
5
7
9
If the formula for circles is c = 3n -1
What is the formula for squares (s) in terms of ‘n’