Lemon Law

A Maths Starter of The Day

Change the numbers on the apples so that the number on the lemon is 88.

[Double click an apple number to change it]

The Lemon Law states that the numbers on the apples are all single digit integers. The numbers on the oranges combine the apple numbers as tens and units. The number on the lemon is the sum of the oranges.

Can 88 be made according to the lemon law?
If not, can you prove it?
If it can be, how many different ways can it be done?

Which numbers can be made by the lemon law?

 

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"Can we see some answers please? Our best answer is
2 1
3 2"

Liam Kelsall, Holden Lane High
Friday, January 12, 2007

 

"Elegant starter with lots of fun ideas to explore. The kids soon arrived at 2222 and went from there!"

K Hudson, Drigg
Wednesday, January 31, 2007

 

"Both 2222 and 1331 give 88. This is because 22+22+22+22=88 and 13+31+13+31=88 I believe these are the only two solutions due to the symmetry in the answers."

Akbar Ali, Whitefield Community School
Monday, December 10, 2007

 

"without being told the single digit integer ruler, Chelsea Maher came up with

1 2
3 6.5

Well done"

Chelsea Maher, Harrytown High School Stockport
Tuesday, January 08, 2008

 

"Our Year 5 class, (all of whom are brainboxes obviously!) have come up with 2222, 3113, 4004, 1421 and 3023 "

Mr Wilson, 2MW
Friday, January 18, 2008

 

"A pupil in my class saw the pattern that the apple digits must add up to 8."

J Nicholl, Kellett School Hong Kong
Wednesday, January 30, 2008

 

"My year nines found that the combination 1241 was a solution not already listed"

Miss Hickman, Wildern
Friday, March 14, 2008

 

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This starter has scored a mean of 4.0 out of 5 based on 43 votes.
 

  

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Answers
Click Here
Teacher, do your students have one to one access to computers?

Whether your students each have a TabletPC or share a desktop PC, this activity lends itself to eLearning (Engaged Learning).

Here's the simple URL which will take
them to this activity.

http://www.transum.org/go/?to=Lemon