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Mensa Puzzle February 2022 Entry Form
In a basket of fruit there are 7 more apples than bananas and 5 more oranges than bananas. There are 2 more pears than peaches and 2 more oranges than pears. The number of bananas added to the number of pears is 13. How many items of fruit are in the basket?
My answer = 41
bananas 5, peaches 6, pears 8, oranges 10, apples 12
https://www.mensa.org.uk/puzzles/competitions43 
Mensa Puzzle March 2022 Entry Form
A factory recycles paper plates for use in its canteen.
Nine used plates are required to make each new plate.
If there are 681 used plates, how many new plates can possibly be made in total?
My answer = 85
681/9 = 75 remainder 6 = 81
81/9 = 9
9/9 = 1
75+9+1 = 85
https://www.mensa.org.uk/puzzles/competitions18 
OneEye said:Mensa Puzzle March 2022 Entry Form
A factory recycles paper plates for use in its canteen.
Nine used plates are required to make each new plate.
If there are 681 used plates, how many new plates can possibly be made in total?
My answer = 85
681/9 = 75 remainder 6 = 81
81/9 = 9
9/9 = 1
75+9+1 = 85
https://www.mensa.org.uk/puzzles/competitions
75 x 9 = 675.Thank you to everyone who posts on the competitions boards. You all rock!9 
I made it 84!5

Further explanation
Step 1  You can make 75 new plates from 675 old ones, and have 6 old ones remaining
Step 2  Take the 75 used new plates plus the 6 old ones (ie. 81 plates) and make 9 brand new plates
Step 3  Take the 9 used brand new plates and make 1 final new plate.
You have made 75 + 9 +1 = 85 plates14 
OneEye said:Further explanation
Step 1  You can make 75 new plates from 675 old ones, and have 6 old ones remaining
Step 2  Take the 75 used new plates plus the 6 old ones (ie. 81 plates) and make 9 brand new plates
Step 3  Take the 9 used brand new plates and make 1 final new plate.
You have made 75 + 9 +1 = 85 plates
I just washed the plates. 🤔 ¯\_(ツ)_/¯
Sunshine is free & gives you vitamin D.3 
Mensa Puzzle April 2022 Entry Form
Six April Fool’s jokes were played on a group of year 7 children, and one third of the jokes had the children fooled.
Four April Fool’s jokes were played on the year 6 pupils, and half of them caught out the children.
If the children were tricked 34 times between them, how many children took part?
My answer = 17
If y=number of year 7 kids and z=number of year 6 kids then
(6/3)y+(4/2)z=34
2y+2z=34
y+z=17
https://www.mensa.org.uk/puzzles/competitions34 
Mensa Puzzle May 2022 Entry Form
Rearrange the letters of TREE COWARDS to give two vegetables.
My answer = CARROT SWEDE
42 
Mensa Puzzle June 2022 Entry Form
Find 7letter words to fit the clues, all the words end in the same three letters. What are the words?
_ _ _ _ _ _ _ A marine creature
_ _ _ _ _ _ _ A small mat
_ _ _ _ _ _ _ Part of a book
My answer = LOBSTER, COASTER, CHAPTER43 
Mensa Puzzle July 2022 Entry Form
An insect crawls along a path at 141 metres per hour.It returns, over exactly the same distance, at 47 metres per hour.What is the insect’s average speed over the entire journey?
My answer = 70.5 metres per hour
You can imagine a distance, say 141m for the insect to travel  takes 1 hr one way and 3 hours the other, so 282/4 = 70.5
but the formula to use is 2ab/(a+b) = 2x47x141/(47+141) = 13254/188 = 70.544
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