Write these numbers in order of size.
Start with the smallest number.
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Write these numbers in order of size.
Start with the smallest number.
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Show that is the same as 25
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Show that is equal toÂ
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Write as an ordinary number.
Write as a number in standard form.
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Work out the value ofÂ
Give your answer in standard form.
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Write 0.000068 in standard form.
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Write in standard form.
Write as an ordinary number.
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Write in standard form.
Write as an ordinary number.
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Write down the reciprocal of 5.
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Write as a single power of 5Â
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Write down the value of , given thatÂ
..................................Â
Write down the value of , given thatÂ
.............................
Find the value of , given thatÂ
.......................................................
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Write as an ordinary number.
Write in standard form.
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Circle the number that is written in standard form.
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Circle the expression that has the largest value when  Â
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Write these numbers in standard form.
Work out giving your answer in standard form.
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A grain of salt weighs kg on average.
A packet contains 0.35 kg of salt.
Use this information to calculate the number of grains of salt in the packet.
Explain why your answer to part (a) is unlikely to be the actual number of grains of salt in the packet.
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Tom researches the weights of plant seeds.
Write the three types of seed in order according to the weight of one seed.
Write the lightest type of seed first.
You must show how you decide.
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A newborn baby has an approximate mass of 3.5 kilograms.
A human cell has an approximate mass of 2.7 × 10–11 grams.
Use these values to estimate the number of human cells in a newborn baby.
Give your answer in standard form, correct to 2 significant figures.
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One sheet of paper is cm thick.
Mark wants to put sheets of paper into the paper tray of his printer.
The paper tray is cm deep.
Is the paper tray deep enough for sheets of paper?
You must explain your answer.
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Write the following numbers in order of size.
Start with the smallest number.
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Write down the value of .
Write down the value of .
Write these numbers in order of size.
Start with the smallest number.
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Write down the value of  .
Find the value of .
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Write down the value of .
Write down the value of .
Work out the value of .
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The table shows some information about eight planets.
Planet | Distance from Earth (km) | Mass (kg) |
Earth | ||
Jupiter | ||
Mars | ||
Mercury | ||
Neptune | ||
Saturn | ||
Uranus | ||
Venus |
Find the difference between the mass of Venus and the mass of Mercury.
Nishat says that Neptune is over a hundred times further away from Earth than Venus is.
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Work outÂ
Give your answer as an ordinary number.
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Write down the value of 100.
Write 6.7 x 10-5 as an ordinary number.
Work out the value of (3 x 107) x (9 x 106).
Give your answer in standard form.
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Calculate .
Give your answer in standard form.
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Work out the value of .
Give your answer in standard form.
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Work out the value of 25-3.
Work out the value of 3503.
Give your answer in standard form.
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Patrick has to work out the exact value ofÂ
Patrick says,
     " of is so "
Explain what is wrong with what Patrick says.
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The table shows information about the surface area of each of the world’s oceans.
Ocean | Surface area in square kilometres |
 Pacific | |
 Indian | |
 Southern | |
 Arctic | |
 Atlantic |
Work out the difference, in square kilometres, between the surface area of the Atlantic Ocean and the surface area of the Indian Ocean.
Give your answer in standard form.
The surface area of the Pacific Ocean is times the surface area of the Arctic Ocean.
Work out the value of .
Give your answer correct to the nearest whole number.
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Write as a power of 2.
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You are given thatÂ
Find the value of
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A company makes sweets.
The sweets are put into packets.
Here are some facts.
sweets are made every day |
 |
packets of sweets are |
Calculate the mean number of sweets in one packet.
Sweets are made on 288 days each year.
Calculate the number of sweets made each year.
Give your answer in standard form.
The company has 152 machines making the sweets.
Each machine operates for 15 hours each day.
[3]
[1]
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Show that
can be written in the form .
Find the value of .
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Show that   Â
Show that
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Write down the value of .
Show that =Â
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Show that = 200
Show that
Solve   .
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Write in standard form.
Work outÂ
Give your answer in standard form.
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Write as a number in standard form.
Write as an ordinary number.
The mass of the Sun is kg.
The mass of the largest known star is times the mass of the Sun.
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Write as an ordinary number.
Work out the value ofÂ
Give your answer in standard form.
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     Â
Find the value of .
Give your answer in standard form correct to significant figures.
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Work out the value of .
Give your answer in standard form correct to significant figures.
is increased byÂ
is increased byÂ
Lottie says,
        "The value of will increase because both and are increased."
Lottie is wrong.
Explain why.
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Write 8.2 x 105 as an ordinary number.
Write 0.000 376 in standard form.
Work out the value of (2.3 x 1012) ÷ (4.6 x 103)
Give your answer in standard form.
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Work out the value of (3.5 x 106) ÷ (5 x 10-3).
Give your answer in standard form.
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Simplify Â
Give your answer in the form 2a where is an integer.
Show each stage of your working clearly.
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where is an integer.
Find an expression, in terms of , forÂ
Give your answer in standard form.
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Show that  can be written asÂ
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