Posts by: toni
A photographer is taking photographs.
She has to arrange the people in two rows one behind the other in order of height.
Each person at the back must be taller than the person directly in front of them.
Along the rows the heights must increase from left to right.
How many different arrangements are there […]
2 x 3 x 4 x 5 + 1 = 11 x 11
21 x 22 x 23 x 24 + 1 = 505 x 505
Pick your own four consecutive numbers, find their product and add one. Is your answer a perfect square?
Show that if you add 1 to the […]
What is the sum of all the digits in all the integers from one to one million?
Don’t do a lot of tedious adding up – think mathematically!
Note: the digits in the integers from one to ten add up to 46
(not 55 because 10 contributes only 1 to this sum.)
The Olympic emblem consists of five overlapping rings containing nine regions.
Place the numbers 1, 2, 3, … 9 in the nine regions so that the total in each ring is the same.
Can you complete the solutions given in the 4 diagrams?
Choose four consecutive whole numbers, for example, 4, 5, 6 and 7.
Multiply the first and last numbers together (28).
Multiply the middle pair together (30).
Choose different sets of four consecutive whole numbers and do the same.
What do you notice about the difference between the two […]
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