Factorise - Study guides, Study notes & Summaries

(a) Simplify (x3)5 Answer ALL questions. Write your answers in the spaces provided. You must write down all the stages in your working. (b) Expand and simplify 4(x + 3) + 7(4 − 2x) ...................................................... (1) (c) Factorise fully 15x3 + 3x2y .................................................................................. (2) ..................................................

Lesson 1 - Problem solving strategies Lesson Notes In this lesson the focus will be on problem solving. Problem solving strategies In this lesson we will focus on examples of problem solving quizs, which form about 15% of a Maths exam in Grade 10. They are quite challenging and are for those learners working for a distinction in Maths. Example (working with fractions) Determine the values of x, y and z. Elaborations Lesson 2 - Example (working with general rules) ...

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area of a circle - correct answer surface area of a sphere - correct answer surface area of a cone - correct answer πr x slanted length x πr^2 volume of cone - correct answer volume of a sphere - correct answer area of trapezium - correct answe...

Finding the LCM of two numbers when you have the prime factors - correct answer - List all the prime factors out - If a factor appears more than once, list it that many times, e.g. 2, 2, 2, 3, 4 and 2, 2, 3, 4 would be 2, 2, 2, 3, 4 - Multiply these together Finding the HCF of two numbers when you have the prime factors - correct answer - List all the prime factors that appear in both numbers - Mu...

A level Maths Verified Solutions If two lines are perpendicular, what must their gradients equal to when multiplied together? ️-1 What is the equation to calculate the gradient of a line? ️y₂-y₁/x₂-x₁ What is the equation to calculate the length of a line? ️√(y₂−y₁)^2 + (x₂-x₁)^2 What is the equation to calculate the midpoint of a line? ️(x₂+x₁) over 2 , (y₂+y₁) over 2 What is the equation of a circle? ️x²+y²=r² How do you find the midpoint of...

Prime Numbers - correct answer A number which has exactly two factors. The number one and itself. Mean - correct answer A type of average found by adding up a list of numbers and dividing by how many numbers are in the list. Mode - correct answer The most common number Median - correct answer The middl...

area of a circle surface area of a sphere surface area of a cone πr x slanted length x πr^2 volume of cone volume of a sphere area of trapezium 1/2(a+b) x height circumference of a circle π x d volume of a cuboid l x w x h volume of a cylinder volume of a pyramid 1/3 x area of base x h distance speed x time density mass/volume pressure force/area Pythagoras' Theorem a^2 + b^2 = c^2 Quadratic equation when ax^2 + bx + c = 0 Sine rule a/sinA = ...

What is 2^x multiplied by 3^x? Let x=2 2^2 X 3^2 = 4 X 9 = 36 36=6^2 So answer is 6^x How would you solve (x^3 - 2x)/3x^2 Break down fraction to (x^3/ 3x^2) - (2x/3x^2) then continue to simplify fractions and cancel out like terms How would you factorise 4x^4 - 13x^2 + 9 Change 4x^4 and 13x^2 into 4(x^2)^2 and 13(x^2) Then let (x^2) be y and substitute y to get 4y^2-13y+9=0 which factorises into (4y-9)(y-1)=0 Which is equal to (4x^2 -9)(x^2 -1) This is difference between two squares so...

Finding the LCM of two numbers when you have the prime factors - - List all the prime factors out - If a factor appears more than once, list it that many times, e.g. 2, 2, 2, 3, 4 and 2, 2, 3, 4 would be 2, 2, 2, 3, 4 - Multiply these together Finding the HCF of two numbers when you have the prime factors - - List all the prime factors that appear in both numbers - Multiply these together Multiplying fractions - Multiply the top and bottom separately Dividing fractions - Turn the second...