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Standard Form :: Level 10

Test your understanding of standard form (scientific notation) with this self-marking, multiple-choice quiz.
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You can earn a trophy if you get at least 7 questions correct.

1. Which of the following numbers is the largest?

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2. Which of the following numbers is the smallest?

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3. Which of the following numbers is the largest?

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4. Which of the following numbers is the smallest?

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5. Evaluate (4.6 x 101)2

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6. Evaluate (4.7 x 10-2)3

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7. If a = 5.5 x 10-2, b = 7.3 x 10-1 and c = 6.4 x 10-4, what is ab÷c to two decimal places?

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8. If a = 7.4 x 102, b = 6.6 x 102 and c = 8.7 x 10-2, what is a + b − c to two decimal places?

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9. The dimensions of a water tank in the shape of a cuboid are 8.4 x 103mm,
5.4 x 103mm and 6.9 x 103mm. What is the capacity of the tank in standard form to 2 decimal places?

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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.

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This is Standard Form level 10. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Level 9

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.

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Description of Levels

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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 - Standard form numbers in fractions without a calculator.

Level 10 - Multiple choice exercise.

Standard Form Algebra - Deeply test your understanding of standard form by involving a little algebra.

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 don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

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

Standard Form

Standard form, also known as scientific notation, is a way of writing numbers that accommodates values too large or small to be conveniently written in standard decimal notation.

Standard Form

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 1⁄100

= 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

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

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