Ratio

Use ratio notation, simplify ratios, and divide a quantity into parts based on a given ratio.

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This is level 6: dividing a quantity in a given ratio. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online.

 1 Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £36. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned? ☐ ☐ ✓ ✗ 2 Share £54 in the ratio 8:1. How much will the smaller share be? ☐ ☐ ✓ ✗ 3 Share 30kg in the ratio 1:5. How heavy will the larger share be? ☐ ☐ ✓ ✗ 4 The ratio of boys to girls in a school is 5:6. How many girls are at the school if there are 1210 students altogether. ☐ ☐ ✓ ✗ 5 The ratio of sunny days to cloudy days in the month of June was 3:2. How many sunny days were there? ☐ ☐ ✓ ✗ 6 One kilogram of sugar is shared between a jar and a jug in the ratio 3:7. How many grams of sugar went into the jar? ☐ ☐ ✓ ✗ 7 In the winter the ratio of daylight to darkness on a particular day is 5:7. How many hours of daylight were there? ☐ ☐ ✓ ✗ 8 To make orange squash you need to mix cordial and water in the ratio 1:8. How much cordial would you need to make 108 cups of squash? ☐ ☐ ✓ ✗ 9 Samantha is 8 years old. Her brother Kevin is 5 years old. The pocket money they receive is in the same ratio as their ages. How many pence does Kevin receive if their pocket money totals £14.30 ? ☐ ☐ ✓ ✗ 10 A toy car and a battery together costs £42. The ratio of the cost of the car to the battery is 13:1. How much did the battery cost? ☐ ☐ ✓ ✗
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This is Ratio level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 7 Level 8

There is also a related exercise on the Unitary Method.

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.

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Connect 4 Factors

A mathematical version of the popular Connect 4 game based on getting four numbers with a common factor in a line. Fun for one, two or a whole class of pupils.

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Monday, November 9, 2020

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Description of Levels

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Level 1 - Identifying ratios from pictures

Level 2 - Simplifying ratios

Level 3 - Simplifying ratios with mixed units

Level 4 - Reducing a ratio to the form 1:n or n:1

Level 5 - Simplifying ratios with fractional parts

Level 6 - Dividing a quantity in a given ratio

Level 7 - Comparing the parts of a ratio

Level 8 - Using ratios in real life

Retro: Real life problems adapted from an old Mathematics textbook

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

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

Introduction to Ratios

Please be aware that the levels referenced in this video pertain to the structure of the exercise when it consisted of only seven levels. Following the production of the video, I introduced a new Level 4, focused on simplifying ratios to the form 1:n. Consequently, the previous Level 4 was reassigned as Level 5, Level 5 advanced to Level 6, and this pattern continued accordingly. I am confident you will be able to navigate these changes; my apologies for any inconvenience caused.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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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