write the numbers from 1 to 8 into the squares, so that the squares with consecutive numbers do not...
TRANSCRIPT
Write the numbers from 1 to 8 into the squares, so that the squares with consecutive numbers do not touch (neither edges nor corners).
Try to place all the numbers from 1 to 9 in the right place
in the grid.
Odd Even Multiple of 3
Prime
Square
Factor of 168
4422
991133
66
55
77 88
FOUR is an even number with an even number of letters
Primes:2357
1113171923293137
Squares:149
162536496481
100121144
Cubes:18
2764
125216343512729
100013311728
Triangulars:136
101521283645556678
Evens:2468
1012141618202224
Odds:13579
11131517192123
A married couple has two children. Given that the probability of having boys and girls are equal, and also given that one of their children is a girl, what is the chance that the other will also be a girl?
A group of 100 soldiers suffered the following injuries in a battle: 70 soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an arm.What is the minimum number of soldiers who must have lost all 4?
3030
2525
1515
2020
1010
A clock is broken into two pieces.
The numbers on each piece add up to the same answer.
Where did the clock face break?
39
39
If I went halfway to a town 60 km away at the speed of 30 km/hour, how fast do I have to go the rest of the way to have an average speed of 60 km/hour over the entire trip?
It’s impossible. You need to complete the 60km distance in one hour, and you’ve already been on the road for an hour.
Right now Mummy is 21 years older then her child. In 6 years her child will be 5 times younger than she.Where is Daddy?
Child’s age = CMummy’s age = M = C + 215(C + 6) = M + 6 5(C + 6) = C + 21 + 6 5C + 30 = C + 27 4C = -3 C = -3/4
This pool has 4 taps.
Tap A takes 1 day to fill the pool.
Tap B takes 2 days.
Tap C takes 3 days.
Tap D takes 6 days.
How long would it take to fill the pool if all 4 taps were running simultaneously?
Tap A: 1 pool per day
Tap B: ½ pool per day
Tap C: 1/3 pool per day
Tap D: 1/6 pool per day
Altogether:
6/6 + 3/6 + 2/6 + 1/6 =
12/6 = 2 pools per day
Time taken to fill one pool at this rate:
½ a day
DiophantusThis tomb tells scientifically the
measure of his life. He was a boy for a sixth of his life; after a further twelfth, his cheeks acquired a beard; He was married after a
further seventh, and in the fifth year after his marriage he fathered a
son. Alas, his son died at only half the span of his father’s life, and
after finding comfort in maths for a further 4 years, he passed away.
These cylindrical vessels (of negligible thickness) are placed one inside the other, then filled with water, then removed from each other.
Which one contains the most water?