TUESDAY CHALLENGES:
FAMILY FUN CHALLENGE:
Find the solution to this problem all together by getting some checkers pieces out:
There are four black counters lined up on one side and four white counters lined up on the other side on a 4x4 grid.
The counters can only move diagonally, any number of spaces (just like a bishop in chess).
What is the least number of moves it takes to get all the black counters lined up where the white ones started and the white counters lined up where the black ones started?
Rule: counters cannot jump or land on top of one another.
MEDIUM CHALLENGE:
Felix is a ferryman. He has a small boat and takes people back and forth across the River Dee. His charges are:
ADULTS: $2.50
TEENAGERS: $1
CHILDREN 50 cents
Some days he has lots of passengers and some days he has just a few. Last Tuesday morning, Felix noticed something a bit special - he had ferried 20 passengers (some adults, some teenagers and some children) and he had collected exactly 20.
Work out how many of each type of passenger there must have been on Tuesday morning to make this possible.
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HARD CHALLENGE FOR PARENTS AND FAMILIES
A solo dice game is played where, on each turn, a normal pair of
dice is rolled. The score is calculated by taking the product, rather
than the sum, of the two numbers shown on the dice.
On a
particular game, the score for the second roll is five more than the
score for the first; the score for the third roll is six less than that
of the second; the score for the fourth roll is eleven more than that of
the third; and the score for the fifth roll is eight less than that of
the fourth. What was the score for each of these five throws?
