# Standard Form 9

## Test your understanding of standard form (scientific notation) with this self-marking, multiple-choice quiz.

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8Level 9ExamDescriptionHelp

You can earn a trophy if you get at least 7 questions correct.

1. Which of the following numbers is the largest?

 A. 3.58 x 102   B. 3.78 x 104   C. 8.68 x 101   D. 5.8 x 102   E. 5.6 x 101

2. Which of the following numbers is the smallest?

 A. 8.48 x 106   B. 7.48 x 106   C. 9.85 x 106   D. 4.06 x 106   E. 1.13 x 107

3. Which of the following numbers is the largest?

 A. 2.44 x 10-1   B. 6.13 x 10-4   C. 3.4 x 10-1   D. 6.67 x 10-2   E. 6.77 x 10-1

4. Which of the following numbers is the smallest?

 A. 5.69 x 10-2   B. 9.23 x 10-3   C. 5.44 x 10-3   D. 1.17 x 10-6   E. 6.19 x 10-6

5. Evaluate (6.3 x 102)2

 A. 6.3 x 104   B. 39.69 x 104   C. 3.969 x 103   D. 3.969 x 105   E. 6.3 x 104

6. Evaluate (8.1 x 10-3)3

 A. 8.1 x 10-27   B. 531.441 x 10-27   C. 5.31441 x 10-1   D. 5.31441 x 10-7   E. 8.1 x 10-9

7. If a = 7.7 x 102, b = 8.7 x 10-1 and c = 5.4 x 10-4, what is ab÷c to two decimal places?

 A. 36,174,600.00   B. 16,389.95   C. 1,240,555.56   D. 32,016.60   E. 361,746.00

8. If a = 6.6 x 10-1, b = 7.5 x 10-2 and c = 5.2 x 10-2, what is a + b − c to two decimal places?

 A. 0.68   B. 0.79   C. 0.53   D. 0.64   E. 1

9. The dimensions of a water tank in the shape of a cuboid are 7.7 x 103mm,
7.3 x 103mm and 7 x 103mm. What is the capacity of the tank in standard form to 2 decimal places?

 A. 3.93 x 109 m3   B. 3.93 x 102 m3   C. 3.93 x 1027 m3   D. 39.35 x 1010 m3   E. 3.93 x 104 m3

10. The speed of light is approximately 3 x 108 metres per second. Express this in kilometres per hour in standard form to 3 significant figures.

 A. 1.08 x 109   B. 3.00 x 105   C. 1.08 x 1012   D. 3.00 x 109   E. 108 x 107

This is Standard Form 9 level 9. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

## Instructions

Try your best to answer the questions above. Choose one of the five possible answers. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file. You can also claim a 'Transum Trophy' by completing this quiz.

## Transum.org

This web site contains hundreds of free mathematical activities for teachers and students. Click here to go to the main page which links to all of the resources available.

## More Activities:

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

#### Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

There are answers to this exercise but they are only available to teachers who have subscribed to Transum and are currently signed in on this computer.

A Transum subscription unlocks the answers to most of the student online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum topic pages so that teachers can easily find the excellent resources we have found and add to the collection themselves.

Class lists, lesson plans and assessment data can also be stored in the Class Admin application and the teacher also has access to the Transum Trophies earned by class members.

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper Secondary/High school.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

## Description of Levels

Close

Level 1 - Converting from standard form. Positive indices.

Level 2 - Converting from standard form. Negative indices.

Level 3 - Converting from standard form. Mixed including zero as the index.

Level 4 - Converting to standard form. The inverse of level 1.

Level 5 - Converting to standard form. The inverse of level 2.

Level 6 - Converting to standard form. The inverse of level 3.

Level 7 - Mixed calculations.

Level 8 - Mixed calculations without a calculator.

Level 9 - Multiple choice exercise.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you donâ€™t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Examples

To convert a number to standard form means to write it in the form a x 10b where a is a number greater than or equal to one and less than ten and b is an integer.

34800

= 3.48 x 10000

= 3.48 x 10 x 10 x 10 x 10

= 3.48 x 104

0.0348

= 3.48 ÷ 100

= 3.48 x 1100

= 3.48 x 10-2

Finally note that any number raised to the power zero is 1 so:

3.48

= 3.48 x 1

= 3.48 x 100

Close