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# GCSE (1 – 9) Standard Form Quiz

Created by
@UserReplaceableHappiness

120000

3 × 10^-3

4.29 × 10^7

### Write 3.61 × 10^-3 as an ordinary number.

<p>0.00361</p> Signup and view all the answers

### Calculate (8.694 × 10^2) ÷ (6.21 × 10^-3) Give your answer in standard form.

<p>1.4 × 10^5</p> Signup and view all the answers

### Write 0.21 × 10^6 in standard form.

<p>2.1 × 10^5</p> Signup and view all the answers

### Calculate (6.7 × 10^4) × (3.4 × 10^-8) and give your answer as an ordinary number.

<p>2.278 × 10^-3</p> Signup and view all the answers

### Write 5.2 × 10^-1 as an ordinary number.

<p>0.52</p> Signup and view all the answers

### Calculate the volume of a sphere with a radius of 6.4 × 10^6 metres. Give your answer in standard form to 1 decimal place.

<p>1.39 × 10^21 m^3</p> Signup and view all the answers

### Find the mass of 250 electrons, given that one electron has a mass of 9.1 × 10^-31 grams.

<p>2.275 × 10^-29 grams</p> Signup and view all the answers

### Simplify 3x + 4x – 2x

<p>5x</p> Signup and view all the answers

### Simplify 3m + 3m

<p>6m</p> Signup and view all the answers

### Simplify n+n+n

<p>3n</p> Signup and view all the answers

### Simplify a ´ b ´ c

<p>abc</p> Signup and view all the answers

### Simplify 5p – 2p

<p>3p</p> Signup and view all the answers

### Simplify 6h 3

<p>18h</p> Signup and view all the answers

### Simplify k+k+8

<p>2k+8</p> Signup and view all the answers

### Simplify 4 ´ 3x

<p>12x</p> Signup and view all the answers

### Simplify 7a – 3a + 6a

<p>10a</p> Signup and view all the answers

### Simplify 8g + 6h – 3g + h

<p>5g + 7h</p> Signup and view all the answers

## Study Notes

### Standard Form Conversions

• 1.2 × 10^5 is equal to 120,000 as an ordinary number.
• 0.003 in standard form is 3 × 10^-3.
• 42,900,000 in standard form is 4.29 × 10^7.
• 3.61 × 10^-3 as an ordinary number is 0.00361.
• (8.694 × 10^2) ÷ (6.21 × 10^-3) is equal to 1.39 × 10^5.
• 0.21 × 10^6 in standard form is 2.1 × 10^5.

### Calculations

• (6.7 × 10^4) × (3.4 × 10^-8) is equal to 0.2288.
• 5.2 × 10^-1 as an ordinary number is 0.52.
• The volume of a sphere with a radius of 6.4 × 10^6 metres is 1.5 × 10^18 m^3.
• The mass of 250 electrons, given that one electron has a mass of 9.1 × 10^-31 grams, is 2.275 × 10^-28 grams.

### Simplifying Algebraic Expressions

• 3x + 4x – 2x simplifies to 5x.
• 3m + 3m simplifies to 6m.
• n+n+n simplifies to 3n.
• a ´ b ´ c simplifies to abc.
• 5p – 2p simplifies to 3p.
• 6h 3 (assumed to be 6h^3) simplifies to 6h^3.
• k+k+8 simplifies to 2k + 8.
• 4 ´ 3x simplifies to 12x.
• 7a – 3a + 6a simplifies to 10a.
• 8g + 6h – 3g + h simplifies to 5g + 7h.

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## Description

Test your knowledge of standard form with this GCSE-level quiz. Answer all questions and show your working out in the provided spaces. Pay attention to the marks for each question to manage your time effectively.

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