Читать книгу The Ultimate Mathematical Challenge: Over 365 puzzles to test your wits and excite your mind - Литагент HarperCollins USD, F. M. L. Thompson - Страница 8
Оглавление1. How many van loads?
A transport company’s vans each carry a maximum load of 12 tonnes. A firm needs to deliver 24 crates each weighing 5 tonnes.
How many van loads will be needed to do this?
2. An L-ish puzzle
Beatrix places copies of the L-shape shown on a 4 × 4 board so that each L-shape covers exactly three cells of the board.
She is allowed to turn around or turn over an L-shape.
What is the largest number of L-shapes she can place on the board without overlaps?
3. Granny’s meter
Yesterday, the reading on Granny’s electricity meter was 098657. She was shocked to realise that all six of these digits are different.
How many more units of electricity will she use before the next time all the digits are different?
4. Paper folding
Three shapes X, Y and Z are shown below.
A sheet of A4 paper (measuring 297 mm × 210 mm) is folded once and placed flat on the table.
Which of these shapes could be made?
5. How many triangles?
In total, how many triangles of any size are there in the diagram?
6. Four dice
Rory uses four identical standard dice to build the solid shown in the diagram.
Whenever two dice touch, the numbers on the touching faces are the same. The numbers on some of the faces of the solid are shown.
What number is written on the face marked with an asterisk?
(On a standard dice, the numbers on opposite faces add to 7.)
7. Making 73
Taran thought of a whole number and then multiplied it by either 5 or 6. Krishna added 5 or 6 to Taran’s answer. Finally Eshan subtracted either 5 or 6 from Krishna’s answer.
The final result was 73. What number did Taran choose?
