Transum Software

Square Numbers

Calculate the squares of one-digit and two-digit numbers.
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No calculator

This is level 6: A mixture of more difficult calculations. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

1

The sides of a square piece of paper are each 6cm long. What is the area of the square in square centimetres?

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2

A chessboard has 8 squares on each side. How many individual squares does it have in total?

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3

A gardener plants 9 rows of 9 roses. How many roses are there in total?

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4

A square photograph measures 11cm on each side. What is its area in square centimetres?

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5

Alina arranges chairs in 16 equal rows of 16 chairs in each row, creating a perfect square. How many chairs does she use in total?

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6

Lars plants 20 tomato plants on each of 20 days. How many tomato plants will he have planted altogether?

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7

What is \(12^2 - 11^2\) ?

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8

Calculate \( 16^2 + 7^2 \).

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9

If \( x = 45\), find \(x^2\).

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10

Nick thinks of a number and squares it. The product is 1089. What was the number Nick thought of?

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11

Noreen and Doreen think of square numbers. Noreen's square number was nineteen more than Doreen's. What square number was Doreen thinking of?

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12

A square with sides of length 17 inches is cut out of the middle of a large wooden square with sides of length 55 inches. What is the top surface area of the wooden shape remaining? Give you answer as the number of square inches.

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Check

This is Square Numbers level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5

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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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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Description of Levels

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Level 1 - Figure out how many items are in a square grid

Level 2 - Squaring one digit numbers

Level 3 - Squaring one digit numbers - timed test

Level 4 - Squaring 15, 25, 35 etc

Level 5 - Squaring two digit numbers

Level 6 - A mixture of more difficult calculations

More on Square Numbers including puzzles and games.

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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Example

You may also want to use a calculator to check your working. See Calculator Workout skill ##.

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.

Log in Sign up

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