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Here are some fractions: 3/10, 2/8, 4/12, 12/40, 5/20. Which of these fractions are equivalent to 1/4?

Before we begin lets quickly do some reviewing. What are fractions and how can we write them? Fractions are often used when we don't want to write down numbers that are really long. A fraction , simply put i...
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Answered by Michael L. • Maths tutor
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Expand and simplify (2x-2)(4x+6)

For this question the FOIL method can be used. FOIL stands for first, outside, inside, and last, and is used to make sure each term is multiplied by each other term. Firstly, multiply the first terms of each...
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Answered by Seren A. • Maths tutor
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A rectangle has a shorter side with a length of x and a longer side with a length of x + 8, the perimeter of the rectangle is 80cm. Calculate the value of x.

For this question, one would sum the algebraic lengths of the rectangle, creating a result of 4x + 16. This is the algebraic perimeter of the rectangle which must be equated to the numerical value of the per...
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Answered by Ben S. • Maths tutor
4086 Views

How do you approach a simultaneous equations problem?

There should be at least as many simultaneous equations as there are unknown variables - or else you cannot get a numerical answer! Start by trying to eliminate one of the variables. You can multiply the equ...
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Answered by Annie H. • Maths tutor
3684 Views

ABCD is a square of side 10 cm. Each side of the square is a tangent to the circle. Work out the total area of the shaded regions in terms of . Give your answer in its simplest form.

Here it's best to start this question off by drawing a diagram. Draw a square with each side having a length of 10cm and a circle which touches each side of the square only once (as eacn side of the square i...
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Answered by Benedicty M. • Maths tutor
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