Linear equations
problem
Fibs
The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21....
How many Fibonacci sequences can you find containing the number 196
as one of the terms?
problem
Fair shares?
A mother wants to share a sum of money by giving each of her
children in turn a lump sum plus a fraction of the remainder. How
can she do this in order to share the money out equally?
problem
Letter land
If: A + C = A; F x D = F; B - G = G; A + H = E; B / H = G; E - G =
F and A-H represent the numbers from 0 to 7 Find the values of A,
B, C, D, E, F and H.
problem
Terminology
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
problem
Leonardo's problem
A, B & C own a half, a third and a sixth of a coin collection.
Each grab some coins, return some, then share equally what they had
put back, finishing with their own share. How rich are they?
problem
How many miles to go?
How many more miles must the car travel before the numbers on the milometer and the trip meter contain the same digits in the same order?
problem
Your number was...
Think of a number and follow my instructions. Tell me your answer, and I'll tell you what you started with! Can you explain how I know?
problem
Burning down
One night two candles were lit. Can you work out how long each candle was originally?
problem
A problem of time
Consider a watch face which has identical hands and identical marks
for the hours. It is opposite to a mirror. When is the time as read
direct and in the mirror exactly the same between 6 and 7?