All topics · Chapter 4
Indices and Standard Form
13 exam-style questions at four levels. Type your working one line at a time and it is marked line by line — method marks and accuracy marks, like the ECZ scheme.
Foundation5 questions
Simplify 2³ × 2⁴, giving your answer in index form.
ECZ Paper 1 · 2 marks · Foundation level
Simplify 5⁸ ÷ 5³, giving your answer in index form.
ECZ Paper 1 · 2 marks · Foundation level
Evaluate 7⁰ + 3².
ECZ Paper 1 · 2 marks · Foundation level
Write 2⁻³ as a fraction in its simplest form.
ECZ Paper 1 · 2 marks · Foundation level
Write 45 000 in standard form.
ECZ Paper 1 · 2 marks · Foundation level
Application4 questions
Evaluate (3²)³ ÷ 3⁴.
ECZ Paper 1 · 3 marks · Application level
Work out (2 × 10³) × (4 × 10⁴), giving your answer in standard form.
ECZ Paper 1 · 3 marks · Application level
Work out (6 × 10⁵) ÷ (3 × 10²), giving your answer in standard form.
ECZ Paper 1 · 3 marks · Application level
The diameter of a speck of dust is 0.000 045 m. Write this diameter in standard form, in metres.
ECZ Paper 1 · 3 marks · Application level
Analysis2 questions
Mastery2 questions
Light travels at 3 × 10⁸ m/s. In a model, the distance from the Sun to the Earth is 4.5 × 10¹¹ m. (a) Calculate the time, in seconds, that light takes to travel from the Sun to the Earth. Give your answer in standard form. (b) Write your answer to (a) in minutes.
ECZ Paper 2 · 4 marks · Mastery level
(a) Simplify (3⁴ × 3⁻²) ÷ 3³, giving your answer in index form. (b) Work out (5 × 10⁻³)² ÷ (2 × 10⁻⁴), giving your answer in standard form.
ECZ Paper 2 · 6 marks · Mastery level
Working through the whole syllabus? The full topic list and our weekly revision routine put this chapter in context.