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 No. of circles n c

AGE

1

2

Age No. of Squares No. of circles n c

AGE

1

2

3

Age No. of Squares No. of circles n c

AGE

1

3

4

2

Age No. of Squares No. of circles n c

AGE

1

3

4

2

Age No. of Squares No. of circles n c

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 circlesThis 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)

NumberShape (n) 1 2 3 4

Number ofCircles (c) 2 5 8 11

Number ofSquares (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’

SATS QUESTION