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Mandy's Matching

Mandy invites you to match the question with the corresponding percentages description.

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This is Mandy's Matching level 1. You can also try:
Level 2

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?

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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Description of Levels

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Level 1 - Easy

Level 2 - Hard

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.

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.

How to match Mandy's questions

  1. Each blue box contains a percentage word problem. Each yellow card contains two lines of maths that belong to one of the blue boxes.
  2. Drag every yellow card into the white box at the bottom of the blue card it matches.
  3. Once all 8 yellow cards have been placed, a Check button appears. Click it to see how many you got right – it won’t tell you which ones are wrong, so you'll need to think it through again.
  4. Drag any card out of its box at any time to try it somewhere else. If you drop a card onto a box that's already full, the card already there gets sent back to the middle so you can swap it.
  5. Keep checking and adjusting until you get all 8 matches correct.

The method behind the cards

Every yellow card gives you two facts about the same quantity, written as a percentage. The first line is always the amount you already know; the second line is the amount you need to find. One possible method is to work out what 1% is worth, then scale up or down from there.

Find \(1\%\) first — divide the amount you know by its percentage.
Then multiply (or divide) to get the percentage you want.

Worked examples

Example 1 – a price going up or down +

A second-hand caravan cost £4600. The price falls by 35% when it is sold again. How much is it sold for?

\(100\% = 4600\)
\(1\% = 4600 \div 100 = 46\)
The price falls by 35%, so it is sold for \(65\%\) of the original.
\(65\% = 46 \times 65 = 2990\)
It is sold for £2990.
Example 2 – working backwards to find the original amount +

A season ticket for Kendal Town FC this season is to go up by 20%. It will cost £168. How much was a season ticket last season?

This time the amount you know is not the 100% amount – it's the new, increased amount.
\(120\% = 168\)
\(1\% = 168 \div 120 = 1.4\)
\(100\% = 1.4 \times 100 = 140\)
A season ticket was £140 last season.
Example 3 – finding the percentage itself +

The captain of a football team scored 12 out of the 40 goals they scored that season. What percentage of the goals did he score?

Here both amounts are given, and it's the percentage that's missing.
\(100\% = 40\)
\(1\% = 40 \div 100 = 0.4\)
\(?\% = 12 \div 0.4 = 30\)
He scored 30% of the goals.
Spotting which type of question you have +

Read the question and ask yourself which of these three things is missing:

  • The new amount is missing → you're given the original (100%) and a percentage change. Find 1%, then scale up to the percentage you need (see Example 1).
  • The original amount is missing → you're given an amount that is more or less than 100% (e.g. "it will cost £168" after a 20% rise = 120%). Find 1% from that amount, then scale to 100% (see Example 2).
  • The percentage is missing → you're given two actual amounts (e.g. 12 out of 40). Find 1% from the total, then divide the other amount by 1% (see Example 3).

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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