Posts tagged word problems
UKMT (UK Mathematics Trust): [√ n]
UKMT (UK Mathematics Trust): [√ n]

The notation [√ n] means the integer part of the square root of n. How quickly can you solve?

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Education, Maths, Maths Challenge, Maths Problem Solving, Puzzle For The Day, School, UKMT, Word ProblemsSarah NorrisLando EducationLando, Lando Education, mathematics, maths, maths challenge, maths puzzles, maths problem of the day, m, matg, maths problems, mathematical puzzles, mathematical puzzle, Problem of the day, word problems, UKMT, UK Maths Trust, square root, √, notation, integarComment
Parallel (Simon Singh): Googol
Parallel (Simon Singh): Googol

The mathematical term “googol” was invented in 1920 by 9-year-old Milton Sirotta, nephew of American mathematician Edward Kasner. A googol is 10100, which means it is written as 1 followed by one hundred zeroes.

The fact that it can be written in such a compact form, 10100, is deceiving, because it represents a phenomenonally gigantic number of mind-blowing proportions. A googol is about one hundred billion billion times bigger than the number of particles in the visible universe (1080).

Although the company and search engine Google is spelt differently, it based its name on the huge number googol, because its ambition was to provide users with huge amounts of information.

  1. What is googol squared?

  2. What is √(googol)?

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Education, Maths, Maths Problem Solving, School, Parallel, Simon Singh, Word ProblemsSarah NorrisLando EducationLando Education, Lando, maths, maths problems, mathematics, googol, Simon Singh, Parallel, word problemsComment
Art of Problem Solving (AoPS): True or False
Art of Problem Solving (AoPS): True or False

Each statement is either true or false. How many of the following statements are true?

1. The answers to statements 2 and 3 are different.

2. The answers to statements 3 and 4 are different.

3. The answers to statements 4 and 5 are different.

4. The answers to statements 5 and 6 are different.

5. The answers to statements 6 and 7 are different.

6. The answers to statements 7 and 8 are different.

7. The answers to statements 8 and 1 are the same.

8. The answers to statements 1 and 2 are the same.

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AoPS, Art of Problem Solving, Education, Maths, Maths Problem Solving, School, Word ProblemsSarah NorrisLando EducationLando Education, Lando, maths, AoPS, Art of Problem Solving, school, true or false, word problems, maths problemsComment
Parallel (Simon Singh): Happy Numbers
Parallel (Simon Singh): Happy Numbers

So for a number to be happy, just take the digits, square each digit and add all the squares to create a new number. Then repeat the process with the new number, and continue until you end up with the number 1 or find the numbers stuck in a repeating loop that does not contain 1.

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Maths, Parallel, Simon Singh, Word Problems, School, Education, Maths Problem SolvingSarah NorrisLando Educationhappy numbers, Parallel, Simon Singh, word problems, maths, maths problems, week 1Comment