A Maths Lesson Starter of The Day

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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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Topics: Starter | Arithmetic | Mental Methods | Problem Solving

  • 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
  •  
  • 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 =

Answers

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

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to create another version of this Starter.



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Laptops In Lessons

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).

Laptops In Lessons

Here a concise URL for a version of this page without the comments.

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

Student Activity

 

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

Transum.org/go/?to=expression

Student Activity


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