Standard form questions & revision notes

This handy revision worksheet for KS3-4 provides clear explanations, worked examples and progressive standard form questions to help students master writing, converting, comparing and calculating with numbers in standard form.

What’s included

• Comprehensive standard form questions with progressive difficulty levels and calculator/non-calculator sections
• Clear explanations and fully worked examples to guide learning step-by-step
• Practice exercises covering eight key topic areas, from basic concepts to advanced calculations

Available to download as a free PDF or subscribe to access an editable version. Answers included!

What’s covered in this standard form revision worksheet

The first part has questions shown alongside fully worked answers and tips to help guide understanding. The second part has exercises for students. The sheet is divided into sections, covering:

• what is standard form?
• writing large numbers in standard form
• writing small numbers in standard form
• writing as ordinary numbers
• ordering
• multiplication and division of numbers in standard form
• addition and subtraction of numbers in standard form
• using a calculator.

How to use these standard form questions and revision notes

Use these materials in class or for homework assignments and revision sessions. The standard form questions can be attempted individually or worked through as a class, with opportunities for group discussion about different approaches to solving standard form problems. Students could be given the questions initially and then the answers to mark and correct their work.

Looking for more like this?

Browse all standard form resources, or try:

• Standard form (KS4)
• Standard form practice (KS3 & KS4)
• Standard form poster (KS3 & KS4)

Standard form questions in this worksheet

There are seven sets of non-calculator questions included in the worksheet, building in difficulty, plus a final set of calculator questions.

The first five sets of standard form questions (non-calculator) from the worksheet are shown below.

Exercise A - Write using standard form:

1. 20000000
2. 5700
3. 26600000000 
4. 0.04
5. 0.00073
6. 0.0000000148
7. 150    
8. 3 million    
9. 1/4 million
10. 0.73 million
11. Six hundred thousand
12. 0.05 million

Exercise B  - Write as ordinary numbers

1. 9 x 10⁶
2. 5.06 x 10⁴
3. 3.7 x 10²
4. 1.0072 x 10⁵
5. 2.631 x 10⁶
6. 4.2 x 10^-5
7. 2.34 x 10^-1
8. 8.44 x 10^-2
9. 5.76 x 10⁰

Exercise C - Write using standard form

1. 350 x 10²
2. 350 x 10²
3. 531 x 10^-4
4. 0.832 x 10^-4
5. 0.0012 x 10⁶
6. 532000 x 10⁷

Exercise D - Put into order of size, smallest first

1. 7.8 x 10¹²,   6.2 x 10⁷,   9.05 x 10¹¹,   5.76 x 10⁸,   7.42 x 10⁹
2. 3.65 x 10⁹,   4.83 x 10⁸,   7.14 x 10⁶,   3.7 x 10⁹,   4.9 x 10⁸
3. 5.3 x 10^-3,   2.7 x 10^-2,   3.45 x 10^-3,   8.6 x 10^-4,   4.35 x 10^-4
4. 2.71 x 10⁵,   8.4 x 10⁵,   52.1 x 10⁴,   0.38 x 10⁶,   6 x 10⁵
5. 2500,   2.5 x 10¹,   0.25 x 10⁵,   250 x 10⁰,   0.25million