Rounding

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.

A circle has radius 6.4 cm

Work out the area of the circle. Give your answer correct to 3 significant figures.

A bus travels a distance of 1262 km from Beijing to Shanghai. The bus takes 17 hours.

Work out the average speed of the bus. Give your answer, in km/h, correct to the nearest whole number.

Change a speed of 50x metres per second to a speed in kilometres per hour.

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.

Slavomir invests 5200 euros in a savings account for 4 years. He gets 2.5% per year compound interest.

Work out how much money Slavomir will have in the savings account at the end of 4 years. Give your answer correct to the nearest euro.

The diagram shows a solid wooden cylinder.

The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 1208 cm³

Work out the value of h Give your answer correct to the nearest whole number.

The density of the wood is 1.25 g/cm³

Work out the mass of the cylinder. Give your answer in kilograms.

The diagram shows a roof support.

The roof support is made from four lengths of wood, AB, AC, BC and MC

AC = BC = 9 m AB = 12 m

angle AMC = 90°

Lewis is going to buy lengths of wood to make the roof support.

The wood costs 21.50 euros per metre. Each length of wood he buys has to be a whole number of metres.

Work out the total cost of the wood Lewis needs to buy. Show your working clearly.

The diagram shows a solid wooden cylinder.

The cylinder has radius 8 cm and height h cm. The volume of the cylinder is 1208 cm³

Work out the value of h Give your answer correct to the nearest whole number.

The density of the wood is 1.25 g/cm³

Work out the mass of the cylinder. Give your answer in kilograms.

The diagram shows isosceles triangle EFG

EF = GF

Angle EFG = 130° The area of triangle EFG is 74 cm²

Work out the length of EF Give your answer correct to 3 significant figures.

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.

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.

Work out the value of

Give your answer as a decimal. Write down all the figures on your calculator display.

Write your answer to part (a) correct to 3 significant figures.

Nanette buys 60 notebooks for a total cost of 780 dirhams.

Nanette sells 70% of the notebooks for 22 dirhams each. She sells the remaining notebooks for 19 dirhams each.

Work out Nanette’s percentage profit. Give your answer correct to 3 significant figures.

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.

Write 0.8 as a percentage.

Write down the value of the 3 in the number 4.7634

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

0.204 0.24 0.04 0.2 0.042

Write 25.786 21 correct to 2 decimal places.

Find the square root of 1296

Work out the value of

Give your answer as a decimal. Write down all the figures on your calculator display.

Write your answer to part (a) correct to 3 significant figures.

The diagram shows a solid triangular prism.

Work out the total surface area of the triangular prism. Give your answer correct to 3 significant figures.

The diagram shows a triangle ABC inside a semicircle.

A, B and C are points on the semicircle.

AB is the diameter of the semicircle.

Angle ACB = 90° Angle BAC = 50° AC = 18 cm

Work out the perimeter of the semicircle. Give your answer correct to 2 significant figures.

R and T are points on a circle, centre O

RT = 12 cm M is the midpoint of RT Angle ROM = 52

Work out the area of the circle. Give your answer correct to 3 significant figures.

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.

The diagram shows two solids, A and B, made from two different metals.

Solid A is in the shape of a cylinder with radius 3 cm and height 7 cm Solid A has a mass of 2000 g

Solid B has a mass of 3375 g Solid B has a volume of 450 cm³

All of the metal from Solid A and Solid B is melted down to make a uniform Solid C

Given that there is no change to mass or volume during this process

work out the density of Solid C Give your answer correct to one decimal place.

_........ g / cm³

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?

The diagram shows a solid cylinder made from iron.

The cylinder has diameter 18 cm and height 3.5 cm The mass of the cylinder is 7.04 kg

Work out the density of the iron. Give your answer in g/cm³ correct to 2 significant figures.

Here is a parallelogram PQRS, in which angle SPQ is acute.

PQ = 6.1 cm PS = 3.8 cm

The area of the parallelogram is 18 cm²

Work out the length of QS Give your answer correct to 3 significant figures.

Write down the number marked with the arrow on the scale above.

Mark with an arrow () the number 0.04 on the scale below.

Write the number 5.68 correct to one decimal place.

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.

A circle has a diameter of 14 cm.

Calculate the area of the circle. Give your answer correct to 3 significant figures.

Use your calculator to work out the value of

Give your answer as a decimal. Write down all the figures on your calculator display.

Write your answer to part (a) correct to 3 decimal places.

Milly went on a car journey. She travelled from Anesey to Breigh to Clando and then to Duckbridge.

For Anesey to Breigh, Milly drove the 245 km in 2.5 hours. For Breigh to Clando, Milly drove the 220 km at an average speed of 80 km/h For Clando to Duckbridge, Milly drove at an average speed of 72 km/h in 50 minutes.

Work out Milly’s average speed, in km/h, for the journey from Anesey to Duckbridge. Give your answer correct to one decimal place.

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 gives information about the average house price in England in 2018 and

Work out the percentage increase in the average house price from 2018 to 2019 Give your answer correct to one decimal place.

The average house price in 2019 was 7.7% greater than the average house price in 2017

Work out the average house price in 2017 Give your answer correct to 3 significant figures.

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.

11

Write down all the figures on your calculator display.

Write your answer to part (a) correct to 2 significant figures.

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.

A circle has diameter 18 cm.

Work out the area of the circle. Give your answer correct to 3 significant figures.

The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge.

Speed (s kilometres per hour)	Frequency
40 s 50	10
50 s 60	16
60 s 70	19
70 s 80	23
80 s 90	12

Write down the modal class.

Work out an estimate for the mean speed of the motorbikes as they pass under the bridge. Give your answer correct to 3 significant figures.

_........ kilometres per hour

Kuro invests 50 000 yen for 3 years in a savings account. She gets 2.4% per year compound interest.

Work out how much money Kuro will have in her savings account at the end of the 3 years. Give your answer correct to the nearest yen.

The region, shown shaded in the diagram, is a path.

The boundary of the path is formed by two semicircles, with the same centre O, and two straight lines.

The inner semicircle has a radius of 7 metres. The path has a width of 2 metres.

Work out the perimeter of the path. Give your answer correct to one decimal place.

A train takes 6 hours 39 minutes to travel from New Delhi to Kanpur. The train travels a distance of 429 km.

Work out the average speed of the train. Give your answer in km/h correct to one decimal place.

Gladys buys a table for $465 to sell in her shop.

She sells the table for $520

Work out the percentage profit that Gladys makes from the sale of the table. Give your answer correct to 3 significant figures.

Gladys has a sale in her shop.

She decreases all the normal prices by 12% The normal price of an armchair was $550

Work out the sale price of the armchair.

The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12 cm. The point E lies on DC and also on the semicircle.

Work out the area of the shaded region. Give your answer correct to 3 significant figures.

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.

Write down all the figures on your calculator display.

Give your answer to part (a) correct to 2 significant figures.

A circle has radius 18 cm.

Work out the circumference of the circle. Give your answer correct to 3 significant figures.

Gavin bought 3 pairs of jeans in the USA. He paid a total of $72

Gavin sold the 3 pairs of jeans in England. He sold each pair of jeans for £34.50

£1 = $1.34

Work out Gavin’s percentage profit. Give your answer correct to the nearest whole number.

A rocket travelled 100 km at an average speed of 28 440 km/h.

Work out how long it took the rocket to travel the 100 km. Give your answer in seconds, correct to the nearest second.

Harold bought an antique clock for £1200 The clock increased in value by 8% per year.

Find the value of the clock exactly 3 years after Harold bought the clock. Give your answer correct to the nearest £.

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.

Markus makes a steel framework. The framework is in the shape of the right‑angled triangle ABC shown in the diagram.

The steel that Markus uses costs $22 per metre. The steel can only be bought in a length that is a whole number of metres.

Work out the total cost of the steel that Markus buys in order to make the framework.

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 24.8635 correct to 3 significant figures.

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

0.501 0.51 0.5 0.55

Write 0.3 as a fraction.

Write 0.46832 correct to 2 decimal places.

The diagram shows a rectangle and a diagonal of the rectangle.

Work out the length of the diagonal of the rectangle. Give your answer correct to 1 decimal place.

A plane takes 3 hours 36 minutes to fly from the Cayman Islands to New York. The plane flies a distance of 2470 km.

Work out the average speed of the plane in km/h. Give your answer correct to the nearest whole number.

A plane takes 3 hours 36 minutes to fly from the Cayman Islands to New York. The plane flies a distance of 2470 km.

Work out the average speed of the plane in km/h. Give your answer correct to the nearest whole number.

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

Ocean	Surface area in square kilometres
Pacific	1.56108
Indian	6.86107
Southern	2.03107
Arctic	1.41107
Atlantic	1.06108

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 k times the surface area of the Arctic Ocean.

Work out the value of k. Give your answer correct to the nearest whole number.

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.

Use your calculator to work out the value of

Write down all the figures on your calculator display.

Write your answer to part (a) correct to 1 significant figure.

The diagram shows a cylinder.

The cylinder has radius 8.2 cm and height 10 cm. The cylinder is empty.

Pam pours 1.5 litres of water into the cylinder.

Work out the depth of the water in the cylinder. Give your answer correct to 1 decimal place.

ABCD is a trapezium.

21.2 cm C

Calculate the perimeter of the trapezium. Give your answer correct to 3 significant figures.

Write 0.63 as a fraction.

Write 46 821 correct to the nearest 100

Write 73.654 correct to 1 decimal place.

Write 0.09 as a percentage.

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.

Work out the value of + Give your answer as a decimal. Write down all the figures on your calculator display.

Give your answer to part (a) correct to 3 significant figures.

Find the cube root of 421.875

Work out the value of

Write down all the figures on your calculator display.

Write your answer to part (b)(i) correct to 2 significant figures.