# Four To Seven

Which of the numbers from one to twenty can you make with the digits:

4, 5, 6 and 7

You can use any mathematical operations but you must use all four digits once in each calculation.

Example 20 = 4(7 - 6) x 5

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• Mr Kavanagh's Fifth Class, Cork, Ireland
•
• Our class figured out half of the solutions. We would have gotten more but we ran out of time.
• Alex Lee, NLCS Jeju
•
• Thease are the answers from my Y6 student.
1.(7-6)x(5-4)
2.(7-6)+(5-4)
3.(7-4)x(6-5)
4.(7-5)+(6-4)
5.square root(7-5)+(6-4)
6.4+(5+7)/6
7.56/4-7
8.(4+5)-(7-6)
9.(6+4)/5 +7
10.(4+7)-(6-5)
11.7x5-6x4
12.6x4-(5+7)
13.(6+7)x(5-4)
14.76/4-5
15.7^2-6x5-4
16.54/6+7
17.4x7-(5+6)
18.6x(5+7)/4
19.4x5-(7-6)
20.square root 4+6+5+7.
• Mrs Milne, Strandtown Primary School
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• Our class really enjoyed this starter and as a class solved every one!

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Previous Day | This starter is for 15 April | Next Day

### Here is a blank grid to collect in answers from the class

4, 5, 6 and 7

 1 = 2 = 3 = 4 = 5 = 6 = 7 = 8 = 9 = 10= 11 = 12 = 13 = 14 = 15 = 16 = 17 = 18 = 19 = 20 =

There are many different answers. These are not the only ones

 1 = (7 - 6)(5 - 4) 2 = 7 - 6 + 5 - 4 3 = 6(7 - 5) ÷ 4 4 = 7 + 6 - 5 - 4 5 = 5(√64 -7) 6 = √64 -7 + 5 7 = 64 - 57 8 = 6 - 7 + 5 + 4 9 = 74 - 65 10 = 7 - 6 + 5 + 4 11 = 75 - 64 12 = 7 + 6 - 5 + 4 13 =  67 - 54 14 = 7 + 6 + 5 - 4 15 = 5(6 + 4 - 7) 16 = 4(6 + 5 - 7) 17 = 5(6 - 4) + 7 18 = 74 - 56 19 = 5 x 4 - 7 + 6 20 = 4(7 - 6) x 5

## Change Numbers

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 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Transum.org/go/?Start=April15

Here is the URL which will take them to a different type of mental maths activity.

Transum.org/go/?to=pairs21

Here is the URL which will take them to a similar 4 digit calculation challenge.

Transum.org/go/?to=expression

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