Math (SAT®)128Updated 3 Oct 20262 pages

Mathematics Formulas and Equations

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Pawarin Phetmalaikul@pawarinphetmalaikul_mqxt
Getting ready for your GCSE Maths Foundation exam? You'll have access to some formulae during the test, but there are crucial ones you absolutely must memorise. Let's break down exactly what you'll be given and what you need to know by heart.
Math – page 1

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Formulae Given in Your Exam

Good news - you won't need to memorise everything! Your exam paper will provide several key formulae when you need them.

Probability calculations become much easier with the given formula: P(A or B) = P(A) + P(B) - P(A and B). This helps you work out the chance of either event A or event B happening. Remember, you subtract the overlap to avoid counting it twice.

For geometry and measurement, you'll get the trapezium area formula and all the circle formulae (circumference and area). More complex 3D shapes like spheres and cones will have their surface area and volume formulae provided too. The kinematics formulae for motion problems will also be there when you need them.

Pythagoras' theorem and trigonometry ratios (sin, cos, tan) will be given, along with the compound interest formula. This means you can focus on understanding how to use these formulae rather than frantically trying to remember them.

Pro tip: Even though these formulae are provided, practise using them beforehand so you can apply them quickly during the exam!

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Formulae You Must Memorise

Here's what you absolutely need to learn by heart - no help from the exam paper for these ones!

Basic area and volume formulae are essential knowledge. You must know how to find the area of rectangles (base × height), triangles (½ × base × height), parallelograms (base × height), and cuboids (length × width × height). The cylinder volume formula (πr²h) is also on your must-know list.

Compound measures are really just fancy ratios you need to memorise. Speed equals distance divided by time, density equals mass divided by volume, and pressure equals force divided by area. These pop up regularly in real-world maths problems.

The exact trigonometric values table might look scary, but focus on the common angles: 0°, 30°, 45°, 60°, and 90°. Learn the patterns - notice how sin and cos values are related, and how tan becomes undefined at 90°.

Memory hack: Create flashcards for these formulae and test yourself daily. The more you practise, the more automatic they become!

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