# Make an Expression

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

You score:

### 0

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: 1 Using the digits 1,2,3 and 4 to make an expression for: 2 Using the digits 1,2,3 and 4 to make an expression for: 3 Using the digits 1,2,3 and 4 to make an expression for: 4 Using the digits 1,2,3 and 4 to make an expression for: 5 Using the digits 1,2,3 and 4 to make an expression for: 6 Using the digits 1,2,3 and 4 to make an expression for: 7 Using the digits 1,2,3 and 4 to make an expression for: 8 Using the digits 1,2,3 and 4 to make an expression for: 9 Using the digits 1,2,3 and 4 to make an expression for: 10 Using the digits 1,2,3 and 4 to make an expression for: 11 Using the digits 1,2,3 and 4 to make an expression for: 12 Using the digits 1,2,3 and 4 to make an expression for: 13 Using the digits 1,2,3 and 4 to make an expression for: 14 Using the digits 1,2,3 and 4 to make an expression for: 15 Using the digits 1,2,3 and 4 to make an expression for: 16 Using the digits 1,2,3 and 4 to make an expression for: 17 Using the digits 1,2,3 and 4 to make an expression for: 18 Using the digits 1,2,3 and 4 to make an expression for: 19 Using the digits 1,2,3 and 4 to make an expression for: 20 Using the digits 1,2,3 and 4 to make an expression for: 21 Using the digits 1,2,3 and 4 to make an expression for: 22 Using the digits 1,2,3 and 4 to make an expression for: 23 Using the digits 1,2,3 and 4 to make an expression for: 24 Using the digits 1,2,3 and 4 to make an expression for: 25 Using the digits 1,2,3 and 4 to make an expression for: 26 Using the digits 1,2,3 and 4 to make an expression for: 27 Using the digits 1,2,3 and 4 to make an expression for: 28 Using the digits 1,2,3 and 4 to make an expression for: 29 Using the digits 1,2,3 and 4 to make an expression for: 30 Using the digits 1,2,3 and 4 to make an expression for: 31 Using the digits 1,2,3 and 4 to make an expression for: 32 Using the digits 1,2,3 and 4 to make an expression for: 33 Using the digits 1,2,3 and 4 to make an expression for: 34 Using the digits 1,2,3 and 4 to make an expression for: 35 Using the digits 1,2,3 and 4 to make an expression for: 36 Using the digits 1,2,3 and 4 to make an expression for: 37 Using the digits 1,2,3 and 4 to make an expression for: 38 Using the digits 1,2,3 and 4 to make an expression for: 39 Using the digits 1,2,3 and 4 to make an expression for: 40 Using the digits 1,2,3 and 4 to make an expression for: 41 Using the digits 1,2,3 and 4 to make an expression for: 42 Using the digits 1,2,3 and 4 to make an expression for: 43 Using the digits 1,2,3 and 4 to make an expression for: 44 Using the digits 1,2,3 and 4 to make an expression for: 45 Using the digits 1,2,3 and 4 to make an expression for: 46 Using the digits 1,2,3 and 4 to make an expression for: 47 Using the digits 1,2,3 and 4 to make an expression for: 48 Using the digits 1,2,3 and 4 to make an expression for: 49 Using the digits 1,2,3 and 4 to make an expression for: 50 Using the digits 1,2,3 and 4 to make an expression for: 51 Using the digits 1,2,3 and 4 to make an expression for: 52 Using the digits 1,2,3 and 4 to make an expression for: 53 Using the digits 1,2,3 and 4 to make an expression for: 54 Using the digits 1,2,3 and 4 to make an expression for: 55 Using the digits 1,2,3 and 4 to make an expression for: 56 Using the digits 1,2,3 and 4 to make an expression for: 57 Using the digits 1,2,3 and 4 to make an expression for: 58 Using the digits 1,2,3 and 4 to make an expression for: 59 Using the digits 1,2,3 and 4 to make an expression for: 60 Using the digits 1,2,3 and 4 to make an expression for: 61 Using the digits 1,2,3 and 4 to make an expression for: 62 Using the digits 1,2,3 and 4 to make an expression for: 63 Using the digits 1,2,3 and 4 to make an expression for: 64 Using the digits 1,2,3 and 4 to make an expression for: 65 Using the digits 1,2,3 and 4 to make an expression for: 66 Using the digits 1,2,3 and 4 to make an expression for: 67 Using the digits 1,2,3 and 4 to make an expression for: 68 Using the digits 1,2,3 and 4 to make an expression for: 69 Using the digits 1,2,3 and 4 to make an expression for: 70 Using the digits 1,2,3 and 4 to make an expression for: 73 Using the digits 1,2,3 and 4 to make an expression for: 74 Using the digits 1,2,3 and 4 to make an expression for: 75 Using the digits 1,2,3 and 4 to make an expression for: 77 Using the digits 1,2,3 and 4 to make an expression for: 78 Using the digits 1,2,3 and 4 to make an expression for: 79 Using the digits 1,2,3 and 4 to make an expression for: 80 Using the digits 1,2,3 and 4 to make an expression for: 81 Using the digits 1,2,3 and 4 to make an expression for: 82 Using the digits 1,2,3 and 4 to make an expression for: 83 Using the digits 1,2,3 and 4 to make an expression for: 84 Using the digits 1,2,3 and 4 to make an expression for: 87 Using the digits 1,2,3 and 4 to make an expression for: 88 Using the digits 1,2,3 and 4 to make an expression for: 89 Using the digits 1,2,3 and 4 to make an expression for: 90 Using the digits 1,2,3 and 4 to make an expression for: 91 Using the digits 1,2,3 and 4 to make an expression for: 92 Using the digits 1,2,3 and 4 to make an expression for: 94 Using the digits 1,2,3 and 4 to make an expression for: 95 Using the digits 1,2,3 and 4 to make an expression for: 96 Using the digits 1,2,3 and 4 to make an expression for: 97 Using the digits 1,2,3 and 4 to make an expression for: 98 Using the digits 1,2,3 and 4 to make an expression for: 99 Using the digits 1,2,3 and 4 to make an expression for: 100 Using the digits 1,2,3 and 4 to make an expression for: 1000 Using the digits 1,2,3 and 4 to make an expression for: 10000
Check

This is Make an Expression 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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#### Equatero

Find the mathematical expression from a series of guesses and clues. This is the numerical version of the extremely popular internet sensation Wordle and UK TV quiz show called Lingo.

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Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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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.

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## 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.

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