Fractions

Here is a shape made of squares.

One of these fractions is not equivalent to Which one?

There are 32 students in a class. 8 of the students study French.

What fraction of the students do not study French? Give your fraction in its simplest form.

Write 0.6 as a percentage.

What fraction of this shape is shaded? Write your fraction in its simplest form.

Circle the two fractions that are equivalent.

Write 0.3 as a fraction.

Write 0.13 as a fraction.

Write a number in the box to make the statement correct.

Write as a fraction in its simplest form.

Melanie finds this information about the number of people, in millions, who speak each of five languages as their first language.

Which of these languages is the first language of the greatest number of people?

More people speak Japanese as their first language than speak Greek as their first language.

How many more?

The number of people who speak Tamil as their first language is of the number of people who speak Bengali as their first language.

Work out the number of people who speak Bengali as their first language.

It is estimated that 861 700 people can speak Welsh.

Write 861 700 in words.

Here is a shape made of squares.

Write 0.7 as a percentage.

Write these decimals in order of size. Start with the smallest decimal.

0.49 0.459 0.4 0.049 0.14

A hall has 26 rows of seats. There are 14 seats in each row. Annie sells tickets for of the seats in the hall for a concert. She sells each ticket for 15 euros.

Work out the total amount Annie gets from selling tickets.

Sandeep sells 600 tickets for an event. He receives a total of $7200 from selling the tickets. of the tickets sold are child tickets. The rest of the tickets sold are adult tickets.

The cost of an adult ticket is $13.60

Work out the cost of a child ticket.

Write these decimals in order of size. Start with the smallest decimal.

0.5 0.54 0.45 0.504 0.405

Write 0.08 as a percentage.

Find the number that is exactly halfway between and 0.88

The two‑way table shows some information about the desserts chosen at lunch yesterday by the 80 students from Year 5 and Year 6. Each student chose one dessert from apple pie or fruit or ice cream.

Complete the two‑way table.

What fraction of these 80 students were in Year 5 and chose apple pie? Give your answer in its simplest form.

Find the highest common factor (HCF) of 130 and 208 Show your working clearly.

Asif has 200 beads. Asif gives of the 200 beads to Bernadette.

Asif gives of the 200 beads to Claudio.

Asif gives 43 beads to Derek.

What fraction of the 200 beads does Asif have left?

The language department of a college has 180 students. Each student studies exactly one of French, German, Italian or Spanish.

15 students study French. 45% of the students study German.

Express the percentage of students studying Italian or Spanish as a percentage of those studying French or German.

Antoine is going on holiday. He makes 3 separate payments to cover the total cost of his holiday.

The following table shows how much money Antoine pays to the holiday company.

Work out how much Antoine has to pay for Payment 2

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

0.47 0.4 0.74 0.477 0.407

Write 0.7 as a fraction.

Write 30 as a fraction of 48 Give your fraction in its simplest form.

Write 23% as a decimal.

Rita has some beads in a bag.

Of these beads, Rita gives

Rita now has 3 beads left in the bag.

Work out how many beads Rita originally had in the bag.

9

There are 30 dogs staying in some boarding kennels. 12 of the dogs are brown.

What fraction of the dogs in the boarding kennels are not brown? Give your fraction in its simplest form.

Sarah makes and sells mugs.

One day she makes 150 mugs. Her total cost for making these mugs is £1140

Of these mugs

32% are medium mugs and the rest are large mugs

Here is Sarah’s price list for selling each mug.

Sarah sells all 150 mugs.

Work out her percentage profit. Give your answer correct to the nearest whole number.

Sarah makes and sells mugs.

One day she makes 150 mugs. Her total cost for making these mugs is £1140

Of these mugs

32% are medium mugs and the rest are large mugs

Here is Sarah’s price list for selling each mug.

Sarah sells all 150 mugs.

Work out her percentage profit. Give your answer correct to the nearest whole number.

Here are four fractions.

When written as a decimal, one of these fractions will give a terminating decimal.

Write down the fraction.

Write as a mixed number in its simplest form.

Here is a list of four words that can be used to describe numbers.

Use the word from the list to complete the sentence below correctly.

Write the ratio 42: 96 in its simplest form.

There are only apples and pears in a fruit basket so that

the number of apples: the number of pears = 4: 11

What fraction of the fruit in the basket is pears?

Here are five fractions.

Two of the fractions in the table are equivalent to

Put a tick () in the box underneath each of these two fractions.

The diagram shows an 8-sided polygon and its diagonals.

Write down the mathematical name of an 8-sided polygon.

Shade of the polygon shown in the diagram above.

The area of a polygon is 56 cm²

There are 54 fish in a tank. Some of the fish are white and the rest of the fish are red.

Jeevan takes at random a fish from the tank. The probability that he takes a white fish is

Work out the number of white fish originally in the tank.

Jeevan puts the fish he took out, back into the tank. He puts some more white fish into the tank.

Jeevan takes at random a fish from the tank. The probability that he takes a white fish is now

Work out the number of white fish Jeevan put into the tank.

Write 0.57 as a fraction.

Write 0.02 as a percentage.

Write as a fraction in its simplest form.

Here is a shape made of squares.

Write as a fraction in its simplest form.

Write these fractions in order of size. Start with the smallest fraction.

What is the number?

Pieter owns a currency conversion shop.

Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed of the 20 160 rand into euros.

He changed the rest of the rands into dollars, rupees and francs in the ratios 9: 5: 2

Pieter changed more rands into dollars than he changed into francs.

Work out how many more.

Pieter owns a currency conversion shop.

Last Monday, Pieter changed a total of 20 160 rand into a number of different currencies. He changed of the 20 160 rand into euros.

He changed the rest of the rands into dollars, rupees and francs in the ratios 9: 5: 2

Pieter changed more rands into dollars than he changed into francs.

Work out how many more.

A rectangle is made from 30 small coloured square tiles.

There are yellow tiles, blue tiles and red tiles.

30% of the rectangle is made from yellow tiles. of the rectangle is made from blue tiles.

The rest of the rectangle is made from red tiles.

Work out the number of red tiles.

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

0.76 25% 0.0766 8% 0.026

The people working for a company work in Team A or in Team B.

number of people in Team A: number of people in Team B = 3: 4 of Team A work full time.

24% of Team B work full time.

Work out what fraction of the people working for the company work full time. Give your fraction in its simplest form.

Here is a shape made of squares.

Change into a mixed number.

What fraction of the class do not walk to school?

Write down a fraction that is equivalent to

Write 0.03 as a fraction.

Write as a fraction in its simplest form.

There are only blue bricks and white bricks in a box. The ratio of the number of blue bricks to the number of white bricks is 3: 7

What fraction of the bricks in the box are blue bricks?

There are 280 counters in a bag. of the counters are red. of the counters are yellow.

The rest of the counters are green.

Work out the number of green counters in the bag.

Find which is larger

You must show all your working.

Alex makes 80 cakes to sell. He makes chocolate cakes, lemon cakes and fruit cakes where

number of number of number of:: = 3: 2: 5 chocolate cakes lemon cakes fruit cakes

Alex sells all of the chocolate cakes

The profit he makes on each cake he sells is shown in the table.

Work out the total profit that Alex makes from the cakes he sells.

Write these decimals in order of size. Start with the smallest decimal.

0.9 0.035 0.003 0.539 0.5

Write 0.6 as a percentage.

Work out the difference between and 0.68 Give your answer as a decimal.

Work out 16 ÷ 4 + 38

Find the cube root of 5832

Write 85% as a decimal.

Write these fractions in order of size. Start with the smallest fraction.

Write 36 as a fraction of 96 Give your fraction in its simplest form.

The bar chart shows information about the weight, in millions of tonnes, of bananas produced by each of four countries in 2016

In 2016, China produced 13 million tonnes of bananas.

Draw a bar on the bar chart to show this information.

One of these countries produced 6.8 million tonnes of bananas in 2016

Which country?

In 2016, a total of 113 million tonnes of bananas was produced worldwide.

What fraction of the 113 million tonnes of bananas was produced in India in 2016?

Write as a mixed number in its simplest form.

Greg bought 36 oranges. He paid 50p for each orange. Greg sold of the oranges for 60p each. He sold of the oranges for 40p each.

He sold the remainder of the oranges for 25p each.

Work out Greg’s percentage loss.

120 children go on an activity holiday. The ratio of the number of girls to the number of boys is 3: 5

On Sunday, all the children either go sailing or go climbing.

Twice as many girls go sailing as go climbing.

Work out how many children go sailing on Sunday.

5 120 children go on an activity holiday. The ratio of the number of girls to the number of boys is 3: 5

On Sunday, all the children either go sailing or go climbing.

Twice as many girls go sailing as go climbing.

Work out how many children go sailing on Sunday.

Here is a shape made from squares.

What fraction of this shape is shaded?

Write 0.23 as a fraction.

Write these decimals in order of size. Start with the smallest decimal.

3.61 3.9 3.555 3.82 3.7

Iona buys a box of cereal.

The cereal in the box weighs 0.75 kg. Each helping of the cereal eaten by Iona has a weight of 40 g.

Write 40 g as a fraction of 0.75 kg. Give your answer in its simplest form.

The cereal in the box contains 6.8 g of protein for each 100 g of cereal.

Work out the amount of protein in each of Iona’s helpings of cereal.

3 g of every 40 g helping of cereal is fat.

Write 3 g as a percentage of 40 g.

There are 12 481 people at a concert. 8906 of these people are adults. The rest of the people are children. of the children are boys.

Work out the number of girls at the concert.

Write these fractions in order of size. Start with the smallest fraction.

Write as a fraction in its simplest form.

There are 840 tickets available for a concert. of these tickets have not been sold.

How many of the tickets have been sold?

The bar chart gives information about the total number of medals won by each of six countries at the 2016 Olympic Games.

Which of these countries won the fewest total number of medals?

Great Britain won 27 gold medals.

How many of the medals won by Great Britain were not gold medals?

Write down the ratio of the total number of medals won by Russia to the total number of medals won by Germany. Give your ratio in its simplest form.

The USA won 46 gold medals 37 silver medals 38 bronze medals

What fraction of the total number of medals won by the USA were gold medals?

Write as a fraction in its simplest form.

Write these decimals in order of size.

4.81 4.013 4.85 4.807 4.02

Start with the smallest decimal.

Find the sum of and 0.72 Give your answer as a decimal.