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GCSE (1 – 9) Standard Form Quiz

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Questions and Answers

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 Signup and view all the answers

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

1.4 × 10^5 Signup and view all the answers

Write 0.21 × 10^6 in standard form.

2.1 × 10^5 Signup and view all the answers

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

2.278 × 10^-3 Signup and view all the answers

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

0.52 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.

1.39 × 10^21 m^3 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.

2.275 × 10^-29 grams Signup and view all the answers

Simplify 3x + 4x – 2x

5x Signup and view all the answers

Simplify 3m + 3m

6m Signup and view all the answers

Simplify n+n+n

3n Signup and view all the answers

Simplify a ´ b ´ c

abc Signup and view all the answers

Simplify 5p – 2p

3p Signup and view all the answers

Simplify 6h 3

18h Signup and view all the answers

Simplify k+k+8

2k+8 Signup and view all the answers

Simplify 4 ´ 3x

12x Signup and view all the answers

Simplify 7a – 3a + 6a

10a Signup and view all the answers

Simplify 8g + 6h – 3g + h

5g + 7h 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.