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What is an Algorithm?

An algorithm is a set of instructions given to a computer to carry out a particular task.

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The width of a rectangle is X cm.  The length is 1·5 cm more than the width.  The perimeter of the rectangle is 17 cm. Write down an equation satisfied by X  and solve it to find X.

Let's call the length 'L', and the width 'X'. Since the length is 1.5cm more than width, we can form the equation: L = X + 1.5 (Equation 1)Let's call the perimeter 'P'....

Answered by Oliver D. • Maths tutor

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Write the following in their simplest form: a) 8^0 b) 64^(2/3) c) 0.54545454...

a) 8⁰= 1b) 64^2/3 = (64^1/3)² = 4² =16c) 0.54545454... = x 100x = 54.545454.... 100x-x = 54 99x = 54 x = 54/99 x = 6/11...

Answered by Emmanuel S. • Maths tutor

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You're on a game show and have a choice of three boxes, in one box is £10, 000 in the other two are nothing. You pick one box, the host then opens one of the other boxes showing it's empty, should you stick or switch?

At the moment of your first choice you have a 1/3 chance of picking the box with the prize and a 2/3 chance of getting nothing. After your choice those probabilities remain locked in and do not change as ...

Answered by Jonathan B. • Maths tutor

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You are sitting in a boat on a lake, you have with you in the boat a large rock. You throw the rock out of the boat and it sinks to the bottom of the lake, does the water level of the lake go up, down or stay the same?

Whilst in the boat the rock (and you) are floating, this means that the amount of water displaced by the rock is the mass of the rock. When the rock sinks to the bottom of the lake the amount of water dis...

Answered by Jonathan B. • Physics tutor

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