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One-Eye

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/competitions

One-Eye

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

hannonle

One-Eye 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

I think it's 75 new plates (with 6 old plates remaining)

75 x 9 = 675. 

falconer99

I made it 84!

One-Eye

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

drowl

One-Eye 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)_/¯

One-Eye

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/competitions

One-Eye

Mensa Puzzle May 2022 Entry Form

Rearrange the letters of TREE COWARDS to give two vegetables.

My answer = CARROT SWEDE

One-Eye

Mensa Puzzle June 2022 Entry Form

Find 7-letter 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, CHAPTER

One-Eye

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 = 70.5