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Posts tagged with logic

Find the Prize – a great logic problem

October31

A prize is hidden under one of the following objects: One student is secretly told the shape the prize is under, and another the colour. When asked if they know the answer, they give the following responses: Question: Under which object is the prize? If you need a clue, check out ‘Post Support’.

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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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« Older Entries

Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

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)?]

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