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
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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 […]
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 […]
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 […]
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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