AQA · Mathematics · 8300
GCSE Maths: Standard form: division
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Standard form: division (Corbettmaths Video 303), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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Write 35000 in standard form.
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3.5 × 10⁴
Write 1.2 × 10³ as an ordinary number.
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1200
Write 0.000345 in standard form.
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3.45 × 10⁻⁴
Why is writing 48100000 as 481 × 10⁵ incorrect standard form?
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In standard form, the first number must be between 1 and 10. The correct answer is 4.81 × 10⁷.
Why is writing 0.0054 as 5.4 × 10³ incorrect standard form?
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The power should be negative for numbers less than 1. The correct answer is 5.4 × 10⁻³.
Write 375 × 10⁶ in standard form.
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3.75 × 10⁸
Calculate (2.05 × 10⁵) × (8.17 × 10³) in standard form.
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1.67485 × 10⁹ (or 1.67 × 10⁹ if rounded)
Calculate (3 × 10⁴) ÷ (6 × 10⁻³) in standard form.
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5 × 10⁶
Calculate (5 × 10⁴)² in standard form.
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2.5 × 10⁹
How many grams are in 2500 kg? (Give answer in standard form)
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2.5 × 10⁶ g
Calculate (2.6 × 10⁶) + (7.1 × 10⁵) in standard form.
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3.31 × 10⁶
Calculate the cube root of 8 × 10¹² in standard form.
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2 × 10⁴
When converting the speed of light from m/s to km/s, what operation do you perform?
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Divide by 1000 (since 1 km = 1000 m).
What formula relates distance, speed, and time?
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Distance = Speed × Time, or equivalently Time = Distance ÷ Speed.
When multiplying numbers in standard form, how do you combine the powers of 10?
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Add the exponents. For example, (a × 10ᵐ) × (b × 10ⁿ) = (a × b) × 10⁽ᵐ⁺ⁿ⁾.
When dividing numbers in standard form, how do you combine the powers of 10?
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Subtract the exponents. For example, (a × 10ᵐ) ÷ (b × 10ⁿ) = (a ÷ b) × 10⁽ᵐ⁻ⁿ⁾.
How do you write 8.024 × 10⁻⁴ as an ordinary number?
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Move the decimal point 4 places to the left: 0.0008024.
What is the formula for the surface area of a sphere in terms of its radius?
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A = 4πr², where r is the radius of the sphere.
What is the relationship between a sphere's diameter and its radius?
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The radius is half the diameter, or r = d/2.
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