The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Powers of 2

In this worksheet, students work with the powers of 2 as an example of a geometric sequence.

'Powers of 2' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Equations and Algebra

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Here is a sequence of numbers:

1,   2,   4,   8,   16,   32,   64,   128...

 

Starting at 1, we get the next number by multiplying by 2 or doubling the previous number.

 

These numbers are also called the powers of 2.

20 = 1

21 = 2

22 = 4

23 = 8

24 = 16

25 = 32

26 = 64

27 = 128

... etc...

 

The 'powers of 2' are an example of a geometric sequence, where each term after the first is found by multiplying the previous term by a fixed number, called the common ratio. The common ratio is 2.

The 'powers of 2' sequence goes on for ever. It is infinite and grows quickly!

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, ?, 16, 32, ...

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, ?, 64, ...

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, ?, ...

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, ?, ...

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, 128, ?, ...

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, 128, 256, ?, ...

Is the following number a power of 2?

 

33

yes

no

Is the following number a power of 2?

 

127

yes

no

Is the following number a power of 2?

 

1024

yes

no

Is the following number a power of 2?

 

2044

yes

no

  • Question 1

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, ?, 16, 32, ...

CORRECT ANSWER
8
EDDIE SAYS
Double 4 or halve 16.
  • Question 2

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, ?, 64, ...

CORRECT ANSWER
32
EDDIE SAYS
Double 16 or halve 64.
  • Question 3

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, ?, ...

CORRECT ANSWER
64
EDDIE SAYS
Double 32.
  • Question 4

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, ?, ...

CORRECT ANSWER
128
EDDIE SAYS
Double 64.
  • Question 5

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, 128, ?, ...

CORRECT ANSWER
256
EDDIE SAYS
Double 128.
  • Question 6

Work out the missing term in this 'powers of 2' sequence:

 

1, 2, 4, 8, 16, 32, 64, 128, 256, ?, ...

CORRECT ANSWER
512
EDDIE SAYS
Double 256.
  • Question 7

Is the following number a power of 2?

 

33

CORRECT ANSWER
no
EDDIE SAYS
All powers of 2 after the first are even.
  • Question 8

Is the following number a power of 2?

 

127

CORRECT ANSWER
no
EDDIE SAYS
128 is a power of 2, so 127 cannot be.
127 is odd.
  • Question 9

Is the following number a power of 2?

 

1024

CORRECT ANSWER
yes
EDDIE SAYS
... 64, 128, 256, 512, 1024, ...
  • Question 10

Is the following number a power of 2?

 

2044

CORRECT ANSWER
no
EDDIE SAYS
... 64, 128, 256, 512, 1024, 2048, ...
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Start your £1 trial today.
Subscribe from £10/month.