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Mixed Medians

Find the medians of sets of different types of numbers in these self-marking exercises.
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This is level 6: squares and roots. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online.

Find the median of each of these sets. Use the ^ symbol for a power and \sqrt (followed by a space) for a square root sign. Click S for help sorting.

1 S

$$2^2, 6^2$$

☐ ☐ ✓ ✗

2 S

$$3^2, 5^2, 4^2$$

☐ ☐ ✓ ✗

3 S

$$62,5^2,7^2,49$$

☐ ☐ ✓ ✗

4 S

$$ \sqrt{121}, \sqrt{10000}, \sqrt{144}$$

☐ ☐ ✓ ✗

5 S

$$23.5, \sqrt{64}, 13, \sqrt{49}$$

☐ ☐ ✓ ✗

6 S

$$\sqrt{16},2^2,\sqrt{4^2}, 4$$

☐ ☐ ✓ ✗

7 S

$$\sqrt{7}, \sqrt{8}, \sqrt{9}, \sqrt{10}, \sqrt{11}$$

☐ ☐ ✓ ✗

8 S

$$ (-7)^2, 7^2, (-8)^2,\\8^2,(-9)^2, -9^2$$

☐ ☐ ✓ ✗

9 S

$$-3,-\sqrt{8},(-3)^2,\\-\sqrt{5},-3^2,-2.3,-2$$

☐ ☐ ✓ ✗

Check

This is Mixed Medians level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 7 Level 8

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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.
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Description of Levels

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Level 1 - Nice numbers

Level 2 - Large numbers

Level 3 - Decimals

Level 4 - Fractions

Level 5 - Multiples and factors

Level 6 - Squares and roots

Level 7 - Standard Form

Level 8 - Mixed Units

Averages and Range - Exercise on mean, median and range.

Quartiles - Practise processing the sets of numbers to find the lower and upper quartiles.

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.

Example

The video above is for the Averages exercise but there is an explanation of how to find the median at 3:04.

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.

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Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

MathQuill Animation

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Sorting

Use this area to sort the numbers in order so that you can easily find the median.

2^2, 6^2
3^2, 5^2, 4^2
62,5^2,7^2,49
\sqrt{121}, \sqrt{10000}, \sqrt{144}
23.5, \sqrt{64}, 13, \sqrt{49}
\sqrt{16},2^2,\sqrt{4^2}, 4
\sqrt{7}, \sqrt{8}, \sqrt{9}, \sqrt{10}, \sqrt{11}
(-7)^2, 7^2, (-8)^2,\\8^2,(-9)^2, -9^2
-3,-\sqrt{8},(-3)^2,\\-\sqrt{5},-3^2,-2.3,-2

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