lawyer

#Lemon Law

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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.

Liam Kelsall, Holden Lane High Friday, January 12, 2007 Can we see some answers please? Our best answer is

2 1

3 2 K Hudson, Drigg Wednesday, January 31, 2007 Elegant starter with lots of fun ideas to explore. The kids soon arrived at 2222 and went from there! Akbar Ali, Whitefield Community School Monday, December 10, 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. Chelsea Maher, Harrytown High School Stockport Tuesday, January 8, 2008 without being told the single digit integer ruler, Chelsea Maher came up with

1 2

3 6.5

Well done Mr Wilson, 2MW Friday, January 18, 2008 Our Year 5 class, (all of whom are brainboxes obviously!) have come up with 2222, 3113, 4004, 1421 and 3023 J Nicholl, Kellett School Hong Kong Wednesday, January 30, 2008 A pupil in my class saw the pattern that the apple digits must add up to 8. Miss Hickman, Wildern Friday, March 14, 2008 My year nines found that the combination 1241 was a solution not already listed Mrs Simpson and 4M4, Torry Academy, Aberdeen Thursday, January 8, 2009 David in 4M4 found this solution: 0, 0, 8, 0 Yeah. Catherine Potter Sunday, September 13, 2009 It was really fun! All my family and I did it. Mr Baker, Somerset, UK Wednesday, October 28, 2009 My year 8 class loved this starter

Soon found that if apples were lettered

a b

c d

then 2a+b+c=8 and b+c+2d=8

Brilliant one thanks :). Lee, Adelaide Thursday, November 5, 2009 0,5,3,0 and the mirror also work. Mr Peter Okurut, Benjamin Britten High School, Lowestoft Monday, January 11, 2010 Using algebra,

04. Mr Page & 7J1, John Ferneley College Wednesday, January 13, 2010 7J1 found out using a,b,c,d to stand for the apples that:-

a + b + c + d = 8

a = d (Archie Herrick & Josh Leach). Mrs Gocht, Year 3 Saturday, January 23, 2010 Also

1 2

4 1

works, my class loved it and I have year 3, but it did take them awhile! bless there little hearts! Alistair Carratt, Sanderson High School Wednesday, February 3, 2010 I work in an ASN school. My S5B class tried this puzzle and one pupil found 2,2,2,2 and another found 1,3,3,1. This led us to find a pattern - all numbers must add up to 8 and the grid must have symmetry across the diagonals. We found 25 solutions. Mrs Ward, Cleeve School Tuesday, May 18, 2010 We found out that 06

20 is a possible of 88. 6T, Widford Lodge Wednesday, January 12, 2011 We found 15 11 and 16 01 too. It was good fun! Mrodwyer, Churchdown School Glos Year 8 Wednesday, January 12, 2011 Year 8 pupils did this 5 minute starter and arrived at all the previous answers already posted. very sharp class. and would like to add 0800. Mrs. W And 1C1, Torry Academy, Scotland Thursday, January 13, 2011 We found, 2222 by Donnelly and 1331 by Natasha then noticed they added to 8. Great! Year 6M, Garswood Primary Thursday, January 13, 2011 We tried this in staff meeting verses our year sixes. Year Six got the answer quicker than some of our teachers! Mr J Saye, 8 Friday, January 14, 2011 Castle Rock High School Coalville

My Set 1 Year 8 class had 5 minutes to complete this task, one girl came up with another way to get 88 in the lemon:

2 3

1 2

Well done to RMc.

Mr Saye. Gr 12 Advanced Functions, Port Hope, Ontario, Canada Tuesday, January 18, 2011 Lemon Number 95

also works. Roy Froud, Bournemouth Thursday, July 7, 2011 I would like to ask students if they could solve the problem sent home from school to my 9-year-old great nephew:

a b

c d

In the grid shown, replace letters a, b, c, d, by 4 different numbers from 1 to 9 so that adding the two rows and two columns together sums to 200.

Example:

7 1

3 8

71 + 38 + 73 + 18 = 200

See if you can find the 10 other combinations that work

In all the above, b and c are interchangeable, leading to another 11 solutions, although, as has been pointed out to me by my nephew, this amounts to transposing rows and columns.

Voluntary Maths Tutor. Lars, Norway Wednesday, October 19, 2011 Why does the answers not show any solutions where an apple has the number 0?

I used this way to solve the problem: