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OCR GCSE Maths Formatting answers

Formatting answers

This page covers the following topics:

Standard form is a format of providing answers, typically used for very large or very small numbers. It uses powers of 10 to show the number by expressing it in the form a Γ— 10Λ’, where s is a positive or negative integer and a is grater than or equal to 1 and less than 10. s represents the number of places the decimal point moves; if it is positive, the decimal moves to the right, and if it is negative, the decimal moves to the left.

Standard form

A unit of measurement is one unit of a quantity. There are standard units that are used for different quantities. For length, kilometres (km) and metres (m) are used for long distances, and centimetres (cm) and millimetres (mm) are used for shorter distances. For mass, kilograms (kg) are used for great masses and grams (g) are used for smaller ones. Time can be measured in seconds, minutes or hours. Price can be measured in pounds (Β£), euros €) or pence/cents (p).

Questions will ask for answers to be given to a specific number of decimal places, which is the number of digits after the decimal point. If the digit after the last one that is kept is greater than or equal to 5, 1 is added to the last digit. Price is always given to 2 decimal places.

Standard units

When rounding to the nearest 10, 100 etc or to a specific number of decimal places/significant figures, if the digit after the cutβˆ’off point is 5 or above, round up βˆ’ if it’s under 5, round down.

Rounding

In estimation questions, round values to 1 s. f. to get approximate answers. To calculate bounds, half the degree of accuracy and add it to the estimation for the upper bound or subtract for the lower bound.

Estimation and approximation

1

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The area of a circle can be calculated using A = Ο€rΒ². Calculate the area of the given circle in mΒ² and give your answer in standard form to 3 significant figures.

OCR GCSE Maths Formatting answers The area of a circle can be calculated using A = Ο€rΒ². Calculate the area of the given circle in mΒ² and give your answer in standard form to 3 significant figures.
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2

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The radius of a Helium atom is 31 picometers. Given that 1 meter is equivalent 1000000000000 picometers, give the radius of a Helium atom in meters and in standard form.

OCR GCSE Maths Formatting answers The radius of a Helium atom is 31 picometers. Given that 1 meter is equivalent 1000000000000 picometers, give the radius of a Helium atom in meters and in standard form.
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3

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Give the units in which mass must be measured in.

OCR GCSE Maths Formatting answers Give the units in which mass must be measured in.
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4

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Deduce the units of the volume of a cube of side 1 km.

OCR GCSE Maths Formatting answers Deduce the units of the volume of a cube of side 1 km.
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5

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How many seconds are in 2 hours?

OCR GCSE Maths Formatting answers How many seconds are in 2 hours?
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6

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Round 2.578 to two decimal places.

OCR GCSE Maths Formatting answers Round 2.578 to two decimal places.
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7

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Round 0.005708 to three significant figures.

OCR GCSE Maths Formatting answers Round 0.005708 to three significant figures.
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8

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Alex wants to use area A of his garden shown below as a flower bed. Calculate the area of the flower bed in cmΒ², give your answer to the nearest 100 cmΒ².

OCR GCSE Maths Formatting answers Alex wants to use area A of his garden shown below as a flower bed. Calculate the area of the flower bed in cmΒ², give your answer to the nearest 100 cmΒ².
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9

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What is the lower bound of 6940 g, measured to the nearest 10 g?

OCR GCSE Maths Formatting answers What is the lower bound of 6940 g, measured to the nearest 10 g?
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10

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Alice is 1.6 m tall (rounded to the nearest 10 cm), Beth is 158 cm tall (rounded to the nearest 1 cm). What is the smallest possible difference in their heights?

OCR GCSE Maths Formatting answers Alice is 1.6 m tall (rounded to the nearest 10 cm), Beth is 158 cm tall (rounded to the nearest 1 cm). What is the smallest possible difference in their heights?
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