Fractions, decimals & percentages

Write the following numbers in order of size, smallest first.

smallest

Write 0.06 as a percentage.

Write 1% as a decimal.

Write 35% as a fraction. Give your answer in its simplest form.

Work out 15% of 2 litres. Give your answer in millilitres.

Heidi and Ben both work with the same positive number N.

Ben works out 0.63 × N.

Tick (✓) the correct statement.

Give a reason why you ticked the statement.

Heidi correctly works out the area of a circle with radius 10 cm. Heidi uses the formula A = πr².

Heidi’s answer is 314.1592654 cm².

Ben correctly works out the area of the same circle using the same formula. Ben’s answer is bigger than Heidi’s answer.

Show how this can happen.

Complete this table of fractions, decimals and percentages.

Write the following numbers in order of size, smallest first.

0.329 0.34 0.3041 0.346

smallest

Write the following in order of size, smallest first.

0.2 2^-2 2 × 10^-2

Show how you decide.

smallest

Write 0.6 as a fraction in its simplest form.

Jane and Kofi both have the same number of newspapers to deliver.

By 8 am

• Jane has delivered 64% of her newspapers

• Kofi has delivered of his newspapers.

Who has delivered the greater proportion of their newspapers? Show how you decide.

Work out the smallest possible number of newspapers that Jane must deliver.

Write the following in order of size, smallest first. 0.2 2^-2 2 × 10^-2

Show how you decide.

smallest

Without using a calculator, show that can be written as

Explain how = can be used to find as a decimal and write down its value.

Show your working and give a reason for your answer.

........ is smaller because........

Work out.

Give your answer as a fraction in its simplest form.

Write these numbers in order of size, starting with the smallest.

smallest

Write 0.17 as a fraction.

Write 0.04 as a percentage.

Write down the percentage of this circle that is shaded.

Work out.

where is a fraction in its lowest terms. Find the value of p and the value of q.

Sam says that written as a decimal is 0.78. Is Sam correct? Show how you decide.

Write 65% as a fraction in its simplest form.

25 people entered a competition. 4 of them won a prize.

Work out the percentage of people that won a prize.

Increase 250 by 20%.

A student says that they have placed the following values in order starting with the smallest.

Has the student done this correctly? Show how you decide.

A student says that they have placed the following values in order starting with the smallest.

Has the student done this correctly? Show how you decide.

Write as a fraction in its simplest form.

Write the following in order of size, smallest first.

smallest

What fraction of this shape is shaded?

What percentage of this shape is shaded?

Write 0.2 as a fraction. Give your answer in its simplest form.

Work out 80% of 30.

Write the following numbers in order of size, smallest first.

0.529 0.54 0.51 0.502

smallest

In a quiz, Darcy answered 16 of the 20 questions correctly.

What fraction of the questions did Darcy answer correctly? Give your fraction in its lowest terms.

Write the fraction as a decimal.

Write as a fraction in its simplest form.

Write 2% as a decimal.

Write 0.16 as a fraction in its simplest form.

Work out 70% of 50.

Beth multiplies a number by 3 and divides the answer by 10.

By what fraction has the number been reduced?

Find a fraction which is bigger than and smaller than

Write as a fraction in its simplest form. You must show full working in support of your answer.

A number that does not divide exactly by 2........

A number that has no factors except itself and 1........

Write down all the multiples of 4 between 21 and 29.

Write down a common multiple of 4 and 6.

Insert brackets to make this calculation correct.

4 - 1 × 2 = 6

Write 7% as a fraction.

Simplify fully by rationalising the denominator.

Complete this table of fractions, decimals and percentages.

Elsa divides a two-digit number by another two-digit number. She gets the answer .

She says that there is only one possible pair of numbers that will give this answer. Is she correct? Show how you decide.

Show your working and give a reason for your answer.

........ is bigger because........

Write 42% as a fraction. Give your answer in its simplest form.

Fill in each missing number.

0.36 × 20 =........ × 10

14 ÷ 50 =........ ÷ 100

Without using a calculator, show that can be written as

Explain how = can be used to find as a decimal and write down its value.

Write these fractions as decimals.

A plank of wood 2.4 m long is cut into 6 pieces of equal length.

How long is each piece?

Write down.

3091 rounded to the nearest hundred

3% as a decimal

the cube root of 27

Complete the statement below using a number from this list.

- 2 0 - 6 6

Write the following numbers in order of size, smallest first.

0.4 0.5 0.06 0.444 0.46

smallest

Convert to a fraction.

Write the following in order of size, smallest first.

smallest

Write 0.26 as a fraction. Give your answer in its simplest form.

Elsie changes to a decimal.

This is her working.

Where a line of working is wrong, write the correct working beside it.

Ali has 1 litre of squash. He always mixes 0.05 litres of squash with 200 ml of water to make a glass of drink.

Find the total volume of the drink that Ali can make. Give your answer in litres.

to a fraction. Give your answer in its lowest terms.

Work out.

Complete this table of fractions, decimals and percentages.

Write 45% as a fraction in its simplest form.

Alan and Brian share a sum of money in the ratio 1: 4.

What fraction of the money does Alan receive?

Sally divided a two-digit number by another two-digit number. Her answer was 3.18181818........

Find two numbers that Sally could have used.