Write these numbers in order of size.
Start with the smallest number.
Did this page help you?
Write these numbers in order of size.
Start with the smallest number.
Did this page help you?
Show that is the same as 25
Did this page help you?
Show that is equal to
Did this page help you?
Write as an ordinary number.
Write as a number in standard form.
Did this page help you?
Work out the value of
Give your answer in standard form.
Did this page help you?
Write 0.000068 in standard form.
Did this page help you?
Write in standard form.
Write as an ordinary number.
Did this page help you?
Write in standard form.
Write as an ordinary number.
Did this page help you?
Write down the reciprocal of 5.
Did this page help you?
Write as a single power of 5
Did this page help you?
Write down the value of , given that
..................................
Write down the value of , given that
.............................
Find the value of , given that
.......................................................
Did this page help you?
Write as an ordinary number.
Write in standard form.
Did this page help you?
Circle the number that is written in standard form.
Did this page help you?
Circle the expression that has the largest value when
Did this page help you?
Write these numbers in standard form.
Work out giving your answer in standard form.
Did this page help you?
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.
Did this page help you?
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.
Did this page help you?
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.
Did this page help you?
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.
Did this page help you?
Write the following numbers in order of size.
Start with the smallest number.
Did this page help you?
Write down the value of .
Write down the value of .
Write these numbers in order of size.
Start with the smallest number.
Did this page help you?
Write down the value of .
Find the value of .
Did this page help you?
Write down the value of .
Write down the value of .
Work out the value of .
Did this page help you?
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.
Did this page help you?
Work out
Give your answer as an ordinary number.
Did this page help you?
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.
Did this page help you?
Calculate .
Give your answer in standard form.
Did this page help you?
Work out the value of .
Give your answer in standard form.
Did this page help you?
Work out the value of 25-3.
Work out the value of 3503.
Give your answer in standard form.
Did this page help you?
Patrick has to work out the exact value of
Patrick says,
" of is so "
Explain what is wrong with what Patrick says.
Did this page help you?
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.
Did this page help you?
Write as a power of 2.
Did this page help you?
You are given that
Find the value of
Did this page help you?
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]
Did this page help you?
Show that
can be written in the form .
Find the value of .
Did this page help you?
Show that
Show that
Did this page help you?
Write down the value of .
Show that =
Did this page help you?
Show that = 200
Show that
Solve .
Did this page help you?
Write in standard form.
Work out
Give your answer in standard form.
Did this page help you?
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.
Did this page help you?
Write as an ordinary number.
Work out the value of
Give your answer in standard form.
Did this page help you?
Find the value of .
Give your answer in standard form correct to significant figures.
Did this page help you?
Work out the value of .
Give your answer in standard form correct to significant figures.
is increased by
is increased by
Lottie says,
"The value of will increase because both and are increased."
Lottie is wrong.
Explain why.
Did this page help you?
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.
Did this page help you?
Work out the value of (3.5 x 106) ÷ (5 x 10-3).
Give your answer in standard form.
Did this page help you?
Simplify
Give your answer in the form 2a where is an integer.
Show each stage of your working clearly.
Did this page help you?
where is an integer.
Find an expression, in terms of , for
Give your answer in standard form.
Did this page help you?
Show that can be written as
Did this page help you?