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Edexcel GCSE Maths

Topic questions Number Standard form

Standard form

36 questions · 105 marks · about 2 hours

Standard form questions

TopicStandard form

Edexcel 1MA1 Standard form 36 questions

Paper 1 June 2025 Foundation tier, Question 23 3 marks

23Work out 5.7 × 102 + 9.8 × 103 Give your answer in standard form.

[3]
Reveal mark scheme Mark scheme for question 23

Paper 1 June 2025 Higher tier, Question 5 3 marks

Work out 5.7 × 102 + 9.8 × 103 Give your answer in standard form.

[3]
Reveal mark scheme Mark scheme for question 5

Paper 3 June 2025 Higher tier, Question 9 2 marks

(a)

Write 5.73 maths symbol 106 as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Write 0.035 in standard form.

[1]

Paper 2 November 2024 Foundation tier, Question 27 2 marks

271.25 × 10–12 = k × (4 maths symbol 10–20) Work out the value of k. Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 27

Paper 2 November 2024 Higher tier, Question 8 2 marks

8 1.25 × 10–12 = k × (4 maths symbol 10–20) Work out the value of k. Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 8

Paper 3 November 2024 Foundation tier, Question 18, also on the Higher paper 2 marks

(a)

Write 3.402 maths symbol 105 as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 18(a)
(b)

Write 0.8026 in standard form.

[1]
Reveal mark scheme Mark scheme for question 18(b)

Paper 3 November 2024 Higher tier, Question 2, also on the Foundation paper 2 marks

(a)

Write 3.402 maths symbol 105 as an ordinary number.

[1]
(b)

Write 0.8026 in standard form.

[1]

Paper 3 June 2024 Foundation tier, Question 23, also on the Higher paper 4 marks

(a)(i)

Write 5.3×104as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 23(a)(i)
(a)(ii)

Write 7.4×10–5as an ordinary number.

[1]
(b)

Calculate the value of 9.7×106 + 2.45×107 Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 23(b)

Paper 3 June 2024 Higher tier, Question 2, also on the Foundation paper 4 marks

(a)(i)

Write 5.3×104as an ordinary number.

[1]
(a)(ii)

Write 7.4×10–5as an ordinary number.

[1]
(b)

Calculate the value of 9.7×106 + 2.45×107 Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 2(b)

Paper 3 November 2023 Foundation tier, Question 20, also on the Higher paper 2 marks

(a)

Write 468 000 in standard form.

[1]
(b)

Write 5.037×10–4 as an ordinary number.

[1]

Paper 3 November 2023 Higher tier, Question 1, also on the Foundation paper 2 marks

(a)

Write 468 000 in standard form.

[1]
Reveal mark scheme Mark scheme for question 1(a)
(b)

Write 5.037maths symbol10–4 as an ordinary number.

[1]

Paper 3 June 2023 Foundation tier, Question 28 4 marks

(a)

Write (9maths symbol104): (4.5maths symbol106) in the form 1:n where n is an integer.

[2]
Reveal mark scheme Mark scheme for question 28(a)
(b)

Write the following numbers in order of size. Start with the smallest number.

Question 28, shown as an image
[2]
Reveal mark scheme Mark scheme for question 28(b)

Paper 3 November 2022 Foundation tier, Question 29, also on the Higher paper 3 marks

(a)

Write 6.75 maths symbol 10−4 as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 29(a)
(b)
Question 29, shown as an image

Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 29(b)

Paper 3 November 2022 Higher tier, Question 9, also on the Foundation paper 3 marks

(a)

Write 6.75 maths symbol 10−4 as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 9(a)
(b)
Question 9, shown as an image

Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 9(b)

Paper 1 June 2022 Foundation tier, Question 26, also on the Higher paper 4 marks

(a)

Write 1.63 × 10−3 as an ordinary number.

[1]
(b)

Write 438 000 in standard form.

[1]
(c)

Work out (4 × 103) × (6 × 10−5) Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 26(c)

Paper 1 June 2022 Higher tier, Question 4, also on the Foundation paper 4 marks

(a)

Write 1.63 maths symbol 10−3 as an ordinary number.

[1]
(b)

Write 438 000 in standard form.

[1]
(c)

Work out (4 × 103) maths symbol (6 × 10−5) Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 4(c)

Paper 3 November 2021 Foundation tier, Question 23, also on the Higher paper 4 marks

(a)

Write 4.5maths symbol105 as an ordinary number.

[1]
(b)

Write 0.007 in standard form.

[1]
(c)

Work out 4.2maths symbol103 + 5.3maths symbol102 Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 23(c)

Paper 3 November 2021 Higher tier, Question 3, also on the Foundation paper 4 marks

(a)

Write 4.5maths symbol105 as an ordinary number.

[1]
(b)

Write 0.007 in standard form.

[1]
(c)

Work out 4.2maths symbol103 + 5.3maths symbol102 Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 3(c)

Paper 1 November 2020 Foundation tier, Question 28, also on the Higher paper 2 marks

Write these numbers in order of size. Start with the smallest number.

Question 28, shown as an image
[2]
Reveal mark scheme Mark scheme for question 28

Paper 1 November 2020 Higher tier, Question 9, also on the Foundation paper 2 marks

Write these numbers in order of size. Start with the smallest number.

Question 9, shown as an image
[2]
Reveal mark scheme Mark scheme for question 9

Paper 3 November 2020 Higher tier, Question 10 4 marks

10A person’s heart beats approximately 105 times each day. A person lives for approximately 81 years.

(a)

Work out an estimate for the number of times a person’s heart beats in their lifetime. Give your answer in standard form correct to 2 significant figures.

[2]
Reveal mark scheme Mark scheme for question 10(a)
(b)

2 × 1012 red blood cells have a total mass of 90 grams.

Work out the average mass of 1 red blood cell. Give your answer in standard form.

[2]
Reveal mark scheme Mark scheme for question 10(b)

Paper 3 November 2019 Foundation tier, Question 28, also on the Higher paper 3 marks

(a)

Write 32 460 000 in standard form.

[1]
Reveal mark scheme Mark scheme for question 28(a)
(b)
Question 28, shown as an image
[1]
Reveal mark scheme Mark scheme for question 28(b)
(c)

Asma was asked to compare the following two numbers.

Question 28, shown as an image

She says,

“6.212 is bigger than 4.73 so A is bigger than B.”

Is Asma correct? You must give a reason for your answer.

[1]
Reveal mark scheme Mark scheme for question 28(c)

Paper 3 November 2019 Higher tier, Question 7, also on the Foundation paper 3 marks

(a)

Write 32 460 000 in standard form.

[1]
Reveal mark scheme Mark scheme for question 7(a)
(b)
Question 7, shown as an image
[1]
Reveal mark scheme Mark scheme for question 7(b)
(c)

Asma was asked to compare the following two numbers.

Question 7, shown as an image

She says,

“6.212 is bigger than 4.73 so A is bigger than B.”

Is Asma correct? You must give a reason for your answer.

[1]
Reveal mark scheme Mark scheme for question 7(c)

Paper 2 June 2019 Foundation tier, Question 27, also on the Higher paper 2 marks

(a)

Write 0.00562 in standard form.

[1]
Reveal mark scheme Mark scheme for question 27(a)
(b)

Write 1.452 × 103 as an ordinary number.

[1]

Paper 2 June 2019 Higher tier, Question 8, also on the Foundation paper 2 marks

(a)

Write 0.00562 in standard form.

[1]
(b)

Write 1.452 × 103 as an ordinary number.

[1]

Paper 3 June 2019 Higher tier, Question 11 3 marks

In May 2019, the distance between Earth and Mars was 3.9 maths symbol 107 km. In May 2019, a signal was sent from Earth to Mars. Assuming that the signal sent from Earth to Mars travelled at a speed of 3 maths symbol 105 km per second,

(a)

how long did the signal take to get to Mars?

[2]
Reveal mark scheme Mark scheme for question 11(a)
(b)

The speed of the signal sent from Earth to Mars in May 2019 was actually less than 3 maths symbol 105 km per second.

How will this affect your answer to part (a)?

[1]
Reveal mark scheme Mark scheme for question 11(b)

Paper 2 November 2018 Foundation tier, Question 27 4 marks

(a)

Write the number 0.000 075 47 in standard form.

[1]
Reveal mark scheme Mark scheme for question 27(a)
(b)

Write 3.42 maths symbol 104 as an ordinary number.

[1]
Reveal mark scheme Mark scheme for question 27(b)
(c)
Question 27, shown as an image
[2]
Reveal mark scheme Mark scheme for question 27(c)

Paper 2 November 2018 Higher tier, Question 7 3 marks

(a)

Write the number 0.000 086 23 in standard form.

[1]
Reveal mark scheme Mark scheme for question 7(a)
(b)
Question 7, shown as an image

Give your answer in standard form, correct to 3 significant figures.

[2]
Reveal mark scheme Mark scheme for question 7(b)

Paper 3 June 2018 Higher tier, Question 9 4 marks

w = 5.6maths symbol 10–5 d = 1.4maths symbol 10–4

(a)

Work out the value of T. Give your answer in standard form correct to 3 significant figures.

[2]
Reveal mark scheme Mark scheme for question 9(a)
(b)

w is increased by 10% d is increased by 5%

Lottie says, “The value of T will increase because both w and d are increased.”

Lottie is wrong. Explain why.

[2]
Reveal mark scheme Mark scheme for question 9(b)

Paper 2 November 2017 Higher tier, Question 6 4 marks

Also involves Indices

Figure for question 6
(a)

Find the value of x.

[1]
Reveal mark scheme Mark scheme for question 6(a)
(b)

maths symbolmaths symbolymaths symbolmaths symbol

Find the value of y.

[1]
Reveal mark scheme Mark scheme for question 6(b)
(c)

maths symbolamaths symbolb can be written in the form 10w

Show that wmaths symbolamaths symbolb

[2]
Reveal mark scheme Mark scheme for question 6(c)

Paper 3 November 2017 Foundation tier, Question 25, also on the Higher paper 2 marks

Work out (13.8 × 107) × (5.4 × 10−12) Give your answer as an ordinary number.

[2]
Reveal mark scheme Mark scheme for question 25

Paper 3 November 2017 Higher tier, Question 7, also on the Foundation paper 2 marks

Work out (13.8 × 107) × (5.4 × 10−12) Give your answer as an ordinary number.

[2]
Reveal mark scheme Mark scheme for question 7

Paper 2 June 2017 Higher tier, Question 10 4 marks

The table shows some information about eight planets.

PlanetDistance from Earth (km)Mass (kg)
Earth05.97 1024
Jupiter6.29 1081.898 1027
Mars7.83 1076.42 1023
Mercury9.17 1073.302 1023
Neptune4.35 1091.024 1026
Saturn1.28 1095.68 1026
Uranus2.72 1098.683 1025
Venus4.14 1074.869 1024
(a)

Write down the name of the planet with the greatest mass.

[1]
Reveal mark scheme Mark scheme for question 10(a)
(b)

Find the difference between the mass of Venus and the mass of Mercury.

[1]
Reveal mark scheme Mark scheme for question 10(b)
(c)

Nishat says that Neptune is over a hundred times further away from Earth than Venus is.

Is Nishat right? You must show how you get your answer.

[2]
Reveal mark scheme Mark scheme for question 10(c)

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