You guys seem to like logic problems so here is one for ya.

Read the intro and then read the clues. Good luck

Intro:

In the weeks before Christmas, the six gifted Romberg children wrote their letters to Santa.

Each child, aged 6 to 11, made a request for a different electronic device.

Determine the device each child asked for as well as the age of each child respectively.

The ages are: 6,7,8,8,9,11.

The devices are: FET Set, Footswitch, Bulb, Power Resistor, Transistor,...

Kids Write Letters To Santa (Logic Problem)]]>

The software evaluates the following expression and if it is true says that the arc is impossible.

How does this work, please?

4 * R ^ 2 < ((X2 - X1) ^ 2 + (Y2 - Y1) ^ 2)]]>

On your travels you come to a fork in the road; unsure which road leads to your destination, you can ask bystanders for assistance. (For the purposes of this question, one road leads to heaven, the other to hell; and you wish to be directed to heaven)

There are three bystanders (all of whom know where each road leads); one bystander always tells the truth, another always gives a false answer and the third gives random answers (randomly answering a...

Fork in the road (with a twist)]]>

I got asked to compare sampl. times with theoretical variations in measurement points.

What exactly does it mean and how is it best done?]]>

Your task is by using a single cut, cutting the board into two pieces - such that when the pieces are joined together they form a square board measuring 1.2m by 1.2m.]]>

1 = 0.9999999 {recurring}

1 > 0.9999999 {recurring}]]>

Enter the three-digit number into a calculator, then enter the same three digits in the same sequence to create a six-digit number on the calculator display (e.g. if you guessed 472 as your three-digit number, the calculator will now display 472472).

Give me a moment while I use my powers of telepathy to determine your three-digit number.

>

>

>

>

>

OK, I now know the number you have chosen.

I have calculated that if you divide the...

Mathematical parlour game - guess the number]]>

Each cyclist enters the section at the bottom left corner (point A) and must exit at the top right corner (point B), but otherwise may take any route between the two points.

As a cyclist in the race, you know that you can cycle at a constant speed of 30mph on tarmac, but only at half that speed (15mph) on grass. By taking the optimum route, how long will it take you to cycle from point A to point B?...

What is the fastest cycling route?]]>

I have a solid steel sphere, 600mm in diameter and a machine that can convert the sphere into a single length of wire, with no wastage of material.

The produced wire has the same density as the original sphere.

I have set the machine to produce a wire of 1mm in diameter - exactly how long is the 1mm diameter...

How long is the piece of wire?]]>

I offer this example – representative of a typical exam-board maths question.

It might help if you work through this example with your offspring, giving them confidence when confronted by such a problem.

[Given my recent maths postings – many might consider it to be typical of my efforts]

Question – (10 points)

[Show your working to be awarded maximum points]

John is 3 years older than his...

Maths Exam Revision Practice]]>

Within the middle of the pond is a water-lily, standing at a slight angle (as shown in the diagram), the length of stem from the water to the base of the flower head is exactly 250mm. If I pull the flower towards me, when the base of the flower head sinks to the level of the pond water, I notice that the distance...

How deep is my garden pond MKII]]>

View attachment 153105]]>

I was trying to find roots of some equations using the calculator TI-92 Plus (Voyage 200 and TI-89 are similar in functionality to 92 Plus). The calculator only gives me distinct roots and I can't know which roots are repeated. For an example, please have a look on the attachment. Thanks for the help.

Regards

PG]]>

For clarity, below is a dimensioned diagram of the above problem (not to scale).

As ever, along with your answer –...

How deep is my garden pond?]]>

The king has spent many months to find a suitor for his only daughter from amongst all the eligible bachelors within his kingdom. The king’s primary criteria is that the man who will marry his daughter will be a man of intelligence.

Following a series of intelligence tests, you have made it to last three, from whom the future son-in-law of the king will be chosen.

The king has devised a final intelligence test, the first of the three remaining suitors...

Royal Wedding Fever]]>

To those who have never encountered the problem, it is a worthy problem that has stumped many – including myself. Even when informed of the answer, many still refuse to accept it.

In essence the problem is this – you are the winner on a TV game show, but to win the star prize you...

The Monty Hall Problem]]>

When I first encountered the problem, I was not convinced that there is sufficient information to give a definitive answer.

I have seen a number of worked solutions to the problem – but the simplest solution involves very little maths. In giving an answer, please show your working.

Q: How wide is the river?

Two ferry-boats start moving at exactly...

How wide is the river?]]>