The four operations

Write a number in each box so that each calculation is correct.

475 =1200

180 5760

Here are four discs. There is a number on each disc.

Using each disc only once,

write down the smallest number that can be made,

write down the largest even number that can be made.

The table shows the land area, in km², of each of six US states.

Which one of these six US states has the greatest land area?

Write the number 314 161 correct to the nearest hundred.

Write down the value of the 4 in the number 294 207

Work out the sum of the land area of Oregon and the land area of Washington.

The land area of Vermont is 23 871 km²

Write the number 23 871 in words.

Cho finds this information about the areas, in square kilometres, of some South American countries.

Which of these countries has the largest area?

Write the number 163 800 in words.

Circle the word that describes the value of the 7 in 406 752

7 tenths 7 tens 7 hundreds 7 hundredths 7 thousandths

Write the number 173 626 correct to the nearest thousand.

Work out the difference between the area of Chile and the area of Uruguay.

The table gives the lengths, in metres, of five road tunnels.

Which of these five tunnels has the greatest length?

Write down the value of the 9 in the number 13 972

The length of one of the tunnels, when rounded to the nearest thousand, is 17 000 metres.

Write down the name of this tunnel.

Write the number 12 940 in words.

Work out the total length of the Arlberg tunnel and the Jinpingshan tunnel.

The table gives information about the lengths, in kilometres, of the shorelines of seven lakes.

Which of these seven lakes has the longest shoreline?

Write the number 6124 in words.

The shoreline of Lake Nasser is longer than the shoreline of Lake Inari.

How much longer?

Write down the value of the 6 in the number 4763

Two numbers in the table round to 4000 when written correct to the nearest thousand.

Write down these two numbers.

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

Work out the difference between the largest number in the list and the smallest number in the list.

The table gives the average January temperatures for five cities.

Here are the temperatures in °C

‒8 24 ‒3 12 ‒14

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

Work out the difference between the January temperature in Yinchuan and the January temperature in Valencia.

The January temperature in Winnipeg is 13°C lower than the January temperature in Tallinn.

Work out the January temperature in Winnipeg.

The January temperature in Austin is 25°C higher than the January temperature in Saskatoon.

Work out the January temperature in Austin.

Marie buys

3 birthday cards at $1.80 each 4 sheets of wrapping paper at $1.20 a sheet 2 identical rolls of sticky tape

The total cost is $17.10

Work out the cost of one roll of sticky tape.

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

122 5 150 71 39

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

0.7 0.074 3.77 0.37 0.13

Write in figures the number five thousand and eighty four.

Write down the value of the 3 in the number 1324

The bar chart gives information about the total number of countries in each of five continents.

The total number of countries in Europe is 44

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

Write down the name of the continent with 23 countries.

Which continent has 4 times as many countries as South America?

Work out the sum of the total number of countries in Africa and the total number of countries in Oceania.

The diagram shows part of a number line.

Write down the number marked with the arrow.

On the diagram below, draw an arrow to show a temperature of 240°C

Write the number 0.786 correct to 2 decimal places.

Find the value of 3.4²

Find the cube root of 373 248

Write 7 7 7 7 7 7 as a single power of 7

Write one set of brackets in each calculation to make the answer correct.

5 + 3 × 2 = 16

10 − 8 − 10 − 6 ÷ 2 = 0

The table gives information about the weight of sugar produced by each of five countries in one year.

Write the number 28 149 in words.

Which of these five countries produced the greatest weight of sugar?

Write down the value of the 8 in the number 23 787

Write the number 15 745 correct to the nearest thousand.

The table shows the number of steps Polly walked on each of five days.

On which of these days did Polly walk the greatest number of steps?

Write the number 9653 in words.

Write the number 8927 correct to the nearest ten.

Write down the value of the 9 in the number 10 980

Work out the sum of the number of steps Polly walked on Thursday and on Friday.

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.

Write in figures the number seven thousand and fifty four.

Write the number 78 263 correct to the nearest 100

Write down the value of the 7 in the number 673 000

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

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

Peter owns boarding kennels for dogs.

The pictogram shows information about the number of dogs that were at the kennels each day from Monday to Thursday last week.

How many dogs were at the kennels on Monday?

18 dogs were at the kennels on Friday.

Show this information on the pictogram.

Peter gave each dog 2 biscuits each day.

Work out the total number of biscuits that Peter gave the dogs during the five days from Monday to Friday last week.

15Finn is asked to find the value of 5 + 3² + 12

Here is his working and his answer.

5 + 3² + 12 = 8² + 12 = 64 + 12 = 76

Finn’s answer is wrong.

Explain what Finn has done wrong in his working.

Write one pair of brackets in this calculation so that the answer is correct.

Work out the value of x² + 5y when x = –3 and y = 2

Here is a list of numbers.

2 8 14 15 16 18 20

From this list, write down

the odd number

the multiple of 6

the square number

the prime number

two numbers with a sum of 26

The table gives information about six plays written by William Shakespeare.

Which of these six plays has the greatest number of words?

Two of these six plays were written in the same year.

Write down the name of each of these plays.

The play Othello has 9329 more words in it than the play Macbeth.

Work out the number of words in the play Othello.

Write the number 21 055 in words.

Luca has 5 kg of chopped tomatoes. He also has some empty tins.

When full, each tin holds 350 g of chopped tomatoes.

Luca fills as many tins as possible with the chopped tomatoes.

Work out the weight of the chopped tomatoes remaining after Luca has filled as many tins as possible. Give the units of your answer.

Zoya buys a book and some pencils.

The book costs £6.90 Each pencil costs £0.55

Zoya has a total of £15 to spend on the book and the pencils. She buys as many pencils as she can.

Work out how many pencils she buys.

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

171 490 84 105 233

Write in figures the number five thousand, one hundred and two.

Write down the value of the 3 in the number 7439

Write the number 651 correct to the nearest hundred.

Here are four cards. Each card has a number on it.

These four cards are arranged to make the number 5763

Arrange the four cards to make the smallest possible number.

Arrange the four cards to make the largest possible even number.

Arrange two of the cards to make a prime number.

Arrange two of the cards to make a multiple of 8

The pictogram shows information about the total weight of potatoes grown last year in each of five countries.

The pictogram shows one country where the total weight of potatoes grown last year was 20 million tonnes.

Which country?

Last year, the weight of potatoes grown in The Netherlands was 6 million tonnes.

Show this information on the pictogram.

Work out the total weight of potatoes grown in Germany and in France last year.

Nav found the following table that shows the age, in years, of each of seven cities.

Write down the name of the city with the greatest age.

Write the number 2534 in words.

Write the number 2351 correct to the nearest ten.

Work out the difference between the age of Cadiz and the age of Nanjing.

A millennium is 1000 years.

What is the age of Jenin in whole millenniums?

Here is a list of numbers.

3 6 7 8 11 25 27

From the numbers in the list, write down

an even number

a multiple of 9

a square number

a prime number

Use brackets to make the statement correct. You may use more than one pair of brackets in the statement.

Sandeep buys some flowers. He has 5000 rupees to spend.

He buys 6 carnations at 220 rupees each. He also buys some roses at 295 rupees each.

Sandeep should receive 140 rupees in change from his 5000 rupees.

Work out how many roses Sandeep buys.

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

202 58 123 7 180

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

0.155 1.5 0.15 0.015 1.15

Write in figures the number five thousand two hundred and three.

Write down the value of the 6 in the number 2468

From the numbers in the box, write down

an even number

a multiple of 9

a prime number

Here are four cards. Each card has a number on it. The four cards are arranged to make the number 7358

Show how the four cards can be arranged to make the smallest number using all four cards.

Show how the four cards can be arranged to make a correct calculation below.

The table shows the average annual rainfall, in mm, for each of five countries.

Write the number 2051 in words.

Write the number 1668 correct to the nearest hundred.

The average annual rainfall for Colombia is more than the average annual rainfall for Brazil.

How much more?

The average annual rainfall for Nigeria was 283 mm more than the average annual rainfall for France.

Work out the average annual rainfall for Nigeria.

Change 6 metres into centimetres.

Change 4500 grams into kilograms.

Lauren has 3 litres of fruit juice. She is going to use the fruit juice to make some drinks for a party. Each cup of drink will contain 225 millilitres of fruit juice.

Lauren is going to make as many cups of drink as possible.

Work out how much fruit juice Lauren has left when she has made as many cups of drink as possible. Give your answer in millilitres.

Angelina buys 3 packets of seeds at $2.45 each packet 2 bags of compost at $6.20 each bag and 4 plant pots

Each plant pot costs the same amount of money.

Angelina paid a total of $34.35 for the seeds, compost and plant pots.

Work out the cost of each plant pot.

Mairi has a 2 metre length of string. She cuts from the string as many lengths of 35 centimetres as possible.

Work out the length of string that she has left. Give your answer in centimetres.

The table gives the total area of forest in each of six countries.

Which of these six countries has the least total area of forest?

Write down the value of the 4 in 92 410

Two of the six countries each have a total area of forest of 5000 km² when rounded to the nearest thousand.

Write down the name of the two countries.

Write the number 3371 in words.

The table shows the average number of spectators per match, for each of six Spanish football teams, in one season.

Which team had the lowest average number of spectators per match?

Write the number 65 731 correct to the nearest thousand.

Write down the value of the 6 in the number 38 699

In one match, Sevilla played Valencia. In the match, Sevilla had 8 shots on target and Valencia had 12 shots on target.

Write the ratio 8:12 in its simplest form.

In the same match, Valencia had 72% possession of the ball.

Write 72% as a fraction in its simplest form.

The table shows the height, in metres, of each of seven volcanoes.

Which of these volcanoes has the greatest height?

Write down the value of the 8 in the number 4585

Write the number 6046 in words.

Write the number 5137 correct to the nearest hundred.

Work out the difference in the height of the Acamarachi volcano and the height of the Semeru volcano.

The table shows the heights, in metres, of five mountains.

Which of these mountains has the greatest height?

Write the number 5895 in words.

Write down the value of the 8 in 4810

Work out the difference between the height of Aconcagua and the height of Puncak Jaya.

Iwan is going to buy the following items

1 plant pot at £8 3 bags of soil at £4.50 for each bag some packets of seeds at £1.10 for each packet.

Iwan has a total of £30 to spend on these items. He buys as many packets of seeds as he can.

Work out how much change Iwan should receive.

In Koko’s shop

5 chocolate bars cost $5.75

2 chocolate bars and 3 packets of sweets cost $7.85

Work out the cost of one packet of sweets.

On the number line, show the inequality –2 y < 1

–3 –2 –1 0 1 2 3

n is an integer.

Write down all the values of n that satisfy –3.4 n ≤ 2

Here is a list of numbers in a box.

From the numbers in the list, write down

a multiple of 11

a factor of 30

a square number

a prime number

two numbers whose sum is 84

The temperature in New York is –2C

At the same time, the temperature in Rabat is 16C higher than the temperature in New York.

Work out the temperature in Rabat.

Also, at the same time, the temperature in Helsinki is 17C lower than the temperature in New York.

Work out the temperature in Helsinki.

Paolo has a bag of flour. The flour in the bag has a weight of 3 kilograms.

Paolo makes 8 pies using the flour in the bag.

3 of the pies each need 150 grams of the flour. 5 of the pies each need 180 grams of the flour.

Work out the weight of flour that remains in the bag when Paolo has made these pies. Give your answer in grams.

The table gives information about the amount of crude oil, in barrels, produced per day by each of six countries in 2015

Write down the name of the country that produced the least number of barrels of crude oil.

Work out the difference between the number of barrels of crude oil produced by Vietnam and the number of barrels of crude oil produced by Australia.

Thailand produced 248 200 barrels of crude oil.

Write 248 200 correct to the nearest thousand.

Matt buys a notebook and some pencils.

The notebook costs $2.35 Each pencil costs $0.74

Matt has a total of $20 to spend on the notebook and the pencils. He buys the greatest number of pencils that he can.

Work out how many pencils he buys.

Pavel asked 60 people at an airport where they came from. All of the 60 people came from Europe or Africa or Asia.

9 people came from Africa. 14 females came from Europe. 3 males came from Africa. 16 of the 29 males came from Asia.

Using this information, complete the two-way table.

The table shows the depth of six ocean trenches.

Which of these trenches has the greatest depth?

Write down the value of the 5 in the number 8594

Write the number 4437 in words.

When written correct to the nearest hundred, one of the numbers in the table is 8500

What is this number?

The Mariana Trench is 2864 metres deeper than the Diamantina Trench.

Work out the depth of the Mariana Trench.

There are 32 children in a nursery.

Sandeep buys 5 boxes of balloons. There are 25 balloons in each box.

Sandeep shares the balloons equally between the 32 children so that each child gets as many balloons as possible.

Work out the number of balloons that are not shared between the 32 children.

Andreas, Isla and Paulo share some money in the ratios 3: 2: 5

The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives.

Andreas buys a video game for £48.50 with some of his share of the money.

Work out how much money Andreas has left from his share of the money when he has bought the video game.

The table shows the land area, in km², of each of six African countries.

Write down the name of the country with the greatest land area.

Write 823 290 correct to the nearest thousand.

Work out the difference between the land area of Botswana and the land area of Kenya.

The land area of the Gambia is 10 120 km²

Write the number 10 120 in words.

Write down the largest possible four digit number using all the digits that are in the box.

From the numbers in the circle, write down

a multiple of 6

a prime number

Mike is going to buy

1 hammer at £6 2 boxes of nails at £3.50 for each box 4 pieces of wood at £4.20 for each piece some pairs of gloves at £1.80 for each pair

Mike has £40 to spend in total on these items. He wants to buy as many pairs of gloves as he can.

Work out the greatest number of pairs of gloves that Mike can buy.

Write in figures the number seventy thousand, two hundred and sixteen.

Write down a common factor of 20 and 30

Write down a square number that is between 20 and 40

Find the cube root of 3375

Write brackets in the following calculation so that the answer is correct.

42 – 6 ÷ 6 – 3 = 40

In the diagram, A, B, C and D are points on a straight line.

AB = 30 cm AC = 96 cm BC = 3CD

Work out the length of AD.

Complete the number machine by writing the correct output on the dotted line.

Complete the number machine by writing the correct input on the dotted line.

Here is an incomplete number machine.

Complete the number machine.

Here are five mathematical signs

Write one of these five signs in each box so that each of these statements is true.

The table gives information about the boiling points and the freezing points of some elements.

Which of these elements has the lowest boiling point?

Which of these elements has the largest difference in temperature between its boiling point and its freezing point?

Dr Strauss is going to cool chlorine from its boiling point to its freezing point. He knows that it will take 2 minutes for the temperature of the chlorine to go down 10C.

Work out how long it will take the chlorine to cool from its boiling point to its freezing point?

The table gives the surface areas, in square kilometres, of six lakes in Africa.

Which of these lakes has the least surface area?

Write the number 6405 in words.

Write the number 68 879 correct to the nearest thousand.

Sammy says that the surface area of Lake Malawi is about 5 times the surface area of Lake Albert.

Is Sammy correct? Give a reason for your answer.

Here are four discs. Each disc has a number on it.

These four discs are arranged to make the number 3854

Arrange the four discs to make the largest possible number.

Arrange the four discs to make a multiple of 5

Arrange the four discs to make the smallest possible odd number.

Write 1782 correct to the nearest hundred.

Write the number thirty two thousand and forty five in figures.

Billy works out the answer to 2 + 5 7 He says that the answer is 49

Billy is not correct as the answer should be 37

Explain what Billy has done wrong.

Chen says,

“A prime number added to an even number always gives an odd number.”

Give an example to show that Chen is not correct.

3 kg of carrots cost £1.35 5 kg of carrots and 2 kg of potatoes cost a total of £4.15

Find the cost of 1 kg of potatoes.