## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with logic

### The 25 Horses Puzzle

November23
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### Is there a difference between Logic and Mathematics?

November13

Yes, there is a difference between Logic and Mathematics. David Joyce, Professor of Mathematics at Clark University makes the distinction like this – “Mathematics studies numbers, geometry, and form.  Those require definitions and axioms to characterize the subjects of study.  Logic is used to prove properties based on those definitions and axioms. Logic can also […]

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### Trick Math Question Upsets Beethoven

October13

Frustrated maths fans were recently seething at a puzzling question. The trick question about Beethoven’s 9th Symphony was trending on Twitter after an alarmed person posted it. “An orchestra of 120 players takes 40 minutes to play Beethoven’s 9th symphony,” the question goes. “How long would it take for 60 players to play the symphony?” […]

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### So you want to work for Apple?

December19

The following question was one that appeared during interviews for potential employees at Apple. How would you answer it? “There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box […]

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### Can you solve the fruit puzzle?

February18

Read Post Support for some clues. Hint: not all bananas are created equal!

### Maths from the Monty Hall of Fame

July14

Monty Hall (left) was a game show host on “Let’s Make a Deal” who offered contestants a brand new car. All they had to do was choose the lucky door out of 3 possibilities. There was, clearly a 33.3% chance of choosing the car, right? Yes…right! However, after you chose a door, Monty Hall would, […]

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### You better choose the right door!

June22

Raymond Merrill Smullyan (born May 25, 1919) is an American mathematician, concert pianist, and logician, etc. One of his most famous puzzles was used in the 1986 film Labyrinth. The puzzle is based on a story of two doors and two guards. one guard always lies and one always tells the truth. One door leads […]

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### Proof

October2

A mathematical proof is an argument from accurate assumptions to reach a conclusion. Each step of the argument follows the laws of logic. Consider the logic in this statement: I can eat cheese The moon is made of cheese; Therefore, I can eat the moon! In Mathematics, a statement is not accepted as valid or […]

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### Mathematics Puzzles

November19

I don’t know about you, but solving puzzles is great mathematical fun, including the logic ones. This site by Maths is Fun has a range of great puzzles for you to try in your spare time!

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### The Census Puzzle

September26

Delight yourself in some mathematical detective work to see if you can figure this problem out! A member of a census organization is going door-to-door collecting information. He comes to a house where a woman answers the door. After introducing himself, he asks her how many adults live in the house. “Just me,” she replies, […]

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#### Post Support

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]