Transum Software

Make an Expression

A challenge to use the available digits to form an expression with a value equal to the given total

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Advanced Help More

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For this advanced challenge you cannot concatenate digits (you can't put 2 and 3 together to make 23) but you can use exponentials and factorials.

Earn trophies based on the number of correct solutions:

Level 6: for finding at least 30 solutions;

Level 7: for finding at least 40 solutions;

Level 8: for finding at least 50 solutions;

Level 9: for finding at least 60 solutions;

Level 10: for finding at least 70 solutions;

Level 11: for finding at least 80 solutions;

Level 12: for finding at least 90 solutions;

Using the digits 1,2,3 and 4 to make an expression for:

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Using the digits 1,2,3 and 4 to make an expression for:

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Using the digits 1,2,3 and 4 to make an expression for:

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Using the digits 1,2,3 and 4 to make an expression for:

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This is Make an Expression level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5

CentExpression One Digit Only

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 - Use all of the digits 1 to 4 to form expressions with totals 1 - 12.

Level 2 - Use all of the digits 1 to 4 to form expressions with totals 13 - 24.

Level 3 - Use all of the digits 1 to 4 to form expressions with totals 25 - 36.

Level 4 - Use all of the digits 1 to 4 to form expressions with totals 37 - 48.

Level 5 - Mixed Questions

Advanced - For this advanced challenge you cannot concatenate digits (you can't put 2 and 3 together to make 23) but you can use exponentials and factorials.

The 12 Ways of Christmas - A special festive variation of the Make an Expression challenge.

CentExpression - Find an expression for 100 using the digits 1 to 9

One Digit Only - Find expressions for target numbers using repeated digits.

More on this topic including lesson Starters, visual aids and investigations.

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.

Help

The idea is to make correct mathematical expressions using all of the given digits to equal the target numbers. Click the pink buttons in the order you wish to see their values in the expressions. Press the C button to clear the expression and start again.

For this advanced challenge you cannot concatenate digits (you can't put 2 and 3 together to make 23) but you can use exponentials and factorials.

Examples:

2^3 means 2³ = 2 × 2 × 2 = 8

5! means 5 × 4 × 3 × 2 × 1 = 120

This Numberphile video of the four 4s problem might give you some ideas!

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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