20 Questions
Write 1.2 × 10^5 as an ordinary number.
120000
Write 0.003 in standard form.
3 × 10^-3
Write 42 900 000 in standard form.
4.29 × 10^7
Write 3.61 × 10^-3 as an ordinary number.
0.00361
Calculate (8.694 × 10^2) ÷ (6.21 × 10^-3) Give your answer in standard form.
1.4 × 10^5
Write 0.21 × 10^6 in standard form.
2.1 × 10^5
Calculate (6.7 × 10^4) × (3.4 × 10^-8) and give your answer as an ordinary number.
2.278 × 10^-3
Write 5.2 × 10^-1 as an ordinary number.
0.52
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.
1.39 × 10^21 m^3
Find the mass of 250 electrons, given that one electron has a mass of 9.1 × 10^-31 grams.
2.275 × 10^-29 grams
Simplify 3x + 4x – 2x
5x
Simplify 3m + 3m
6m
Simplify n+n+n
3n
Simplify a ´ b ´ c
abc
Simplify 5p – 2p
3p
Simplify 6h 3
18h
Simplify k+k+8
2k+8
Simplify 4 ´ 3x
12x
Simplify 7a – 3a + 6a
10a
Simplify 8g + 6h – 3g + h
5g + 7h
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.
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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