AQA · Mathematics · 8300
GCSE Maths: Standard form
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Standard form (Corbettmaths Video 300), 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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What is 35000 written in standard form?
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3.5 × 10⁴
What is 1.2 × 10³ written as an ordinary number?
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1200
What is 4.7 × 10⁻² written as an ordinary number?
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0.047
Which of these numbers is in correct standard form: 5.55 + 10⁻⁸, 36 × 10⁻⁵, 0.3 × 10⁵, or 6.5 × 10⁸?
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6.5 × 10⁸. In standard form, the coefficient must be between 1 and 10.
What is 0.00000008 written in standard form?
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8 × 10⁻⁸
Why is 5.4 × 10³ not correct standard form for 0.0054?
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The exponent should be negative for numbers less than 1. The correct answer is 5.4 × 10⁻³.
What is 375 × 10⁶ written in correct standard form?
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3.75 × 10⁸. Move the decimal to get a coefficient between 1 and 10, then adjust the exponent accordingly.
Calculate (4 × 10⁵) × (2 × 10⁴) in standard form.
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8 × 10⁹. Multiply coefficients (4 × 2 = 8) and add exponents (5 + 4 = 9).
Calculate (3 × 10⁴) ÷ (6 × 10⁻³) in standard form.
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5 × 10⁶. Divide coefficients (3 ÷ 6 = 0.5 = 5 × 10⁻¹) and subtract exponents (4 − (−3) = 7), giving 5 × 10⁶.
How many grains of rice are in 2500 kg of rice if one grain has a mass of 0.03 g?
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8.33... × 10⁷ (or approximately 8.3 × 10⁷). Convert 2500 kg to 2.5 × 10⁶ g, then divide by 3 × 10⁻².
Calculate (2.6 × 10⁶) + (7.1 × 10⁵) in standard form.
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3.31 × 10⁶. Convert 7.1 × 10⁵ to 0.71 × 10⁶, then add: 2.6 + 0.71 = 3.31.
What is the relationship between circumference and diameter of a circle?
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Diameter = Circumference ÷ π
To convert a distance in kilometres to metres, multiply by ?.
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1000
What formula relates distance, speed, and time?
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Time = Distance ÷ Speed
What is the general form of a number written in standard form?
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a × 10ⁿ, where 1 ≤ a < 10 and n is an integer.
To convert a positive ordinary number to standard form, move the decimal point to create a number between 1 and 10, then multiply by 10 to the power of ?.
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the number of places moved
What does a negative exponent mean in standard form (e.g., 10⁻⁴)?
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It indicates a very small number; 10⁻⁴ = 0.0001 (move the decimal point 4 places to the left).
The formula for the surface area of a sphere is A = ?.
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4πr²
When calculating percentage, what is the formula?
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Percentage = (Part ÷ Whole) × 100
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