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3 shops sell TVs and all 3 are having sales. Here are the three original prices of the TVs and their discounts: X12: £150 (25%), Teli-vise: £235 (1/2 off), Xpert: £60 (with a year of weekly £8 payments). Which TV is the cheapest once discounted.

X12 = £150 x (1-0.25) = £112.50 Teli-vise: £235 / 2 = £117.50 Xpert: £60 + (12 x £8) = £156 Therefore the X12 is the cheapest television after the discount has been applied.
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Answered by George C. • Maths tutor
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Adam can pay for his gym membership in one go at £180 or in monthly sums of £20. Work out the percentage increase of paying monthly to 1 decimal place.

We need to start by working out the price Adam will pay for the entire year if he chooses the monthly option. We do this by multiplying £20 x 12 months = £240. Next we need to find the difference (increase) ...
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Answered by Timothy N. • Maths tutor
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Solve the simultaneous equations: 3x+2y=4 and 2x+y=3

When solving simultaneous equations there are several options, the two most common methods being substitution and elimination. For this example I shall use elimination. In order to do so, either x or y must ...
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Answered by Catherine G. • Maths tutor
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Explain the use of the quadratic formula to solve quadratic equations.

To explain this to a student, I would start by explaining the general formula for a quadratic equation, (ax^2 + bx + c = 0). Then I would show using an example, how the a,b and c can be substituted with numb...
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Answered by Tom N. • Maths tutor
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How would you work out the length of an hypotenuse, if the length of the opposite side is 3 cm and the length of the opposite side is 4 cm?

You would use Pythagoras theorem, which states, a^2 + b^2 = c^2. Where a is the opposite side to the angle, b is the side adjacent to the angle and c is the hypotenuse. So if a = 3 cm, and b = 4 cm, c^2 woul...
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Answered by Othniel A. • Maths tutor
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