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Multi-step Problems

Solve multi-step problems in contexts, deciding which operations and methods to use and why.

  Menu   Level 1 Level 2 Level 3 More Arithmetic

This is level 2; Multiplication and division multi-step problems. You can earn a trophy if you get at least 7 questions correct.

1. I have 6 crayons which are each 17cm long. I also have a ruler which is 31cm long. How far would they reach if I arranged them on the floor in a long line?

Working:

cm Correct Wrong
2. The angles inside an irregular hexagon add up to 720°. If three of the angles are 119° and two of them are 132° what is the size of the other angle?

Working:

° Correct Wrong
3. Frank has two boxes of screws. The first box contains 58 screws and the second box contains 170 screws. If he needs four screws for every model he makes, how many models can he make with the screws he has?

Working:

Correct Wrong
4. Using the most efficient method you can think of multiply together the numbers from 3 to 8 then divide the product by seven?

Working:

Correct Wrong
5. Farmer Brown has two fields of sheep. The first field contains 17 sheep and the second field contains 64 sheep. He can only transport the sheep to the shearing station nine at a time. What is the minimum number of journeys he needs to make?

Working:

Correct Wrong
6. A 50p coin weighs 8 grams. What is the value in pounds of two kilograms of 50p coins?

Working:

£ Correct Wrong
7. If four soldiers can stand on one square metre. How many soldiers could stand on a ractanguler parade ground measuting 50 metres long and 20 metres wide?

Working:

Correct Wrong
8. Six people share the cost of a meal in a restaurant. The total cost of the starters was £32, The total cost of the main courses was £34 and the total cost of the deserts was £78. How much does each person pay?

Working:

£ Correct Wrong
9. Ayden makes Christmas crackers. Each cracker contains a toy, 2 sweets and a party hat. If each toy costs 46p, each sweet costs 8p and each hat costs 25p, how much change will he have from £50 if he makes 12 crackers?

Working:

£ Correct Wrong
10. Six security guards are deciding on the times they should be on duty so that one of them is guarding the bank at every moment of every day of the week. They multiply the number of days in a week by the number hours in a day then divide the result by six. How many hours will each guard have to work so that between them the whole week is covered?

Working:

hours Correct Wrong
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This is Multi-step Problems level 2. You can also try:
Level 1 Level 3

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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Featured Activity

Beat The Clock

Beat The Clock

It is a race against the clock to answer 30 mental arithmetic questions. There are nine levels to choose from to suit pupils of different abilities.

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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

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Description of Levels

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Level 1 - Addition and subtraction multi-step problems

Level 2 - Multiplication and division multi-step problems

Level 3 - Mixed multi-step problems

More Arithmetic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.