Standard Form (Edexcel IGCSE Maths A (Modular): Higher Unit 2): Exam Questions

Work out 

An approximation for the value of  is given by

Use your calculator to show that this approximation is within 0.1 of 3.14

Use a calculator to find the decimal value of  .

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.

Write the following numbers in order of size. Start with the smallest number.

Write these numbers in order of size.
Start with the smallest number.

The table shows some information about eight planets.

Write down the name of the planet with the greatest mass.

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.

Is Nishat right?
You must show how you get your answer.

Work out 
Give your answer as an ordinary number.

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.

Calculate .
Give your answer in standard form.

Work out the value of .
Give your answer in standard form.

Work out the value of 350³.
Give your answer in standard form.

The table shows information about the surface area of each of the world’s oceans.

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.

.......................square kilometres

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.

...........................

A company makes sweets.
The sweets are put into packets.

Here are some facts.

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.

i) Calculate the number of sweets made by one machine each hour.
Give your answer as an ordinary number correct to the nearest 10.

[3]

ii) State one assumption you have made in part (c)(i).

[1]

The table shows the population, correct to two significant figures, of each of six countries in April 2016.

Write 9.3×10⁷ as an ordinary number.

Which of these countries had the least population?

The population of China was 1.382×10⁹ in April 2016.
The population of India was 1.327×10⁹ in April 2016.

Work out the difference between the population of China and the population of India in April 2016.
Give your answer in standard form.

Write in standard form.

Work out 
Give your answer in standard form.

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.

Work out the mass of this star.
Give your answer in kg in standard form.

Write  as an ordinary number.

Work out the value of 
Give your answer in standard form.

Find the value of .
Give your answer in standard form correct to significant figures.

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.

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.

Work out the value of (3.5 x  10⁶) ÷ (5 x 10^-3).
Give your answer in standard form.

Find 4% of 4.5 × 10¹⁵⁷
Give your answer in standard form