Download Investigating Doubling and Halving

Can I use my doubling and halving skills to solve problems?
Each sequence below begins with a number. Can you keep
doubling the number until you get to the end?
1)
2
2)
20
3)
50
4)
13
26
416
Some of the number sequences below are missing their numbers.
The rule is to keep halving the previous number. Can you work out
the missing numbers?
1)
64
16
2)
112
28
14
3)
40
5
4)
800
100
Can I use my doubling and halving skills to solve problems?
Explore the following sequences but beware, there are some
missing numbers!
Explain if the pattern is doubling or halving. And work out the
missing numbers of the sequence.
1)
13
26
2)
480
120
3)
96
24
4)
19
5)
10
6)
1120
7)
8
8)
25
9)
2016
10)
17
38
104
416
152
608
80
280
35
64
100
252
34
Follow the rule and write the first 10 numbers in the sequence.
Just choose 3 to do from the list below.
11)
12)
13)
14)
Rule:
Rule:
Rule:
Rule:
Double and add 1.
Double and subtract 2.
Double and add 2.
Double and add 10.
Starting
Starting
Starting
Starting
Number
Number
Number
Number
=
=
=
=
12
27
19
25
Ultimate Challenge
If you want to show off, then have a go at some of these. Can you
write the next 3 numbers in the sequence?
16) 3, 7, 15, 31, 63.
17) 100, 60, 40, 30, 25.
18) 14, 26, 50, 98, 204.
19) 5, 15, 35, 75, 155.
20) 966, 482, 240, 118, 57