Can you find the easy way to calculate this square root without doing any long division?
Hint: Think of factors!
Click here for the EASY CALC worksheet.
Click for The EASY CALC Notes for Teachers
How Many Factors?
See the Inclusion and Home Learning Guide for related activities on the same topic for ages 4 to 18+.
How many factors does 72 have?
Investigate numbers that are products of a square number and a cube number. How many factors do they have?
How does the number 1 behave in the world […]
How Old Am I?
It is my birthday and in 15 years’ time, my age will be the square of my age 15 years ago!
Can you work out how old I am?
Now I am thinking “Was there ever a time in my life when I had other special birthdays?”
Could I have said:
“In 3 […]
One to Eight
Which of the following products are close to 1368:
20 x 40 20 x 50 20 x 70
40 x 50 40 x 70 or 50 x 70?
In these three multiplication sums, using the digits 1 to 8 once and only […]
(1) Some 4 digit numbers can be written as the product of a 3 digit number and a 2 digit number using the digits 1 to 9 each once and only once.
Can you use the digits 1 to 9 once, but only once, to replace the stars and complete the multiplication * *9 […]
Can you use the digits 1, 2, 3, 4, 5 and 6, each only once, to make a number which is divisible by 6
… so that when the final or last digit is removed it becomes a 5-digit number divisible by 5, and when the last digit is removed from that number […]
Biggest Divisor Same Remainder
What is the largest number that, when divided into each of 1905, 2587, 3951, 7020 and 8725, leaves the same remainder each time?
When a problem seems difficult a good strategy is to try a simple case.
The diagram should help you to find the answer to the same question […]
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 […]
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