0

#### [3*] When a questions requires to find the area and/or perimeter but the sides of the shape have been given as algebraic expressions, why do we use brackets?

#### [1] For Algebraic Fractions, what do you do to the numerator or denominator when there is a x^2 subtracting a square number?

#### [4] When solving, and there is a fraction on one side of the equal sign in algebraic equations, why do I multiply both sides by the denominator?

#### [14] In solving, and there is a square root on one side of the equals sign, to get rid of it, would I square the equation?

#### [16] If the final answer includes 1/2, and it says "give your answer in its simplest form" which one would be right?

#### [2*] How do you know when a question requires Simultaneous Equations to calculate and solve the word problem?

#### [3] For Simultaneous Equations, is it better to subtract the smallest Xs from the biggest, or the smallest total number from the biggest?

#### [6] For Linear Simultaneous Equations, do I have to multiply everything in the equation by the same number?

#### [9*] For Linear Simultaneous Equations, where there are different operations in the equations, do I make those the same?

#### [12*] For Quadratic Simultaneous Equations, does the Linear expression always have to be / rearranged to 'y=...' whilst the other is 'x^2 + y^2 =...'?

#### [13] For Linear Simultaneous Equations, if I make the Xs the same, do I need to make the Ys the same as well?

#### [3*] For Quadratics where there is a single bracket being squared, would I have to write the bracket out twice?

#### [9*] In Solving Quadratic questions when the sides of a shape are in linear algebraic expressions, how do I know which of the x-values to choose from, if I need to substitute an x-value into an algebraic expression for a measurement?

#### [2*] With Factorisation to solve for x values, for which do I have to find two numbers that multiply to get it, and then add to get something else?

#### [4*] If 'b' is negative in the quadratic equation, then does it become positive for the '-b' part of the Quadratic Formula?

#### [1] When solving Completing the Square questions, do you change the answer into a decimal or leave as a surd?

#### [3*] When questions state "give answer in the form...", why is there a '+' there? ie. (x + a)^2 + b. My answer has a subtraction sign!

#### [4] In Completing the Square questions, when you need to find the minimum value, what is the purpose of the 'y'?

#### We are currently

#### [2] For Cyclic Quadrilaterals (in Circle Theorems), would I gain / lose marks for putting a + b = 180 degrees, if in a rush?

#### [3] In the reasoning for same segment angles (in Circle Theorems), os there a difference between saying "same two points" and "common chord" or are they the same thing?

#### [4] For Cyclic Quadrilateral reasons, do you have to include that all 4 points must touch the circumference of the circle?

#### [6*] In Circle Theorems, what would happen if you wrote descriptions / reasons the other way around? ie. Angle at centre vs. circumference

#### [2] When answering questions that ask for the answer in terms of pi, do I still put the units afterwards?

#### [3] What is the difference between the term "shaded region" and "shaded segment" or are they the same?

#### [2*] When using the Sine or Cosine Rule, does it matter how I label my own triangle? Can you label your triangle yourself?

#### [3*] For Cosine Rule (finding an angle), does it matter which numbers are a, b and c? How do you know which one to minus?

#### [2] If the Foundation Tier paper focuses on Grades 5-1 topics and Higher Tier paper focuses on Grades 9-4 topics, does that mean Higher Tier students do not need to know Grades 3-1 topics?

# Maths FAQs

**Algebra**

**Click to View** the 75+ Questions already here...

#### Forming, Using and Solving Expressions

#### [1*] How do you form equations and algebraic expressions from sentences or wordy questions?

#### [2*] When the angles of a triangle are given in algebraic form, do I have to find out what 'x' is?

#### Algebraic Fractions - H

#### Equations of Linear Lines (Gradients, Parallel - H, Perpendicular - H)

#### [1] What does the 'negative reciprocal' mean? - H

#### [2] For Equations of Straight Lines, will the x-coordinate always be 0?

#### Factorise, Expand, Simplify and Solve

#### [1] What does 'expand' mean?

#### [2] What is the difference between 'factorising' and 'solving'?

#### [3] When simplifying, can I take x from x^2 or add the two terms together?

#### [5] When solving equations, such as 2y = -6, is it always RHS divided by LHS?

#### [6] If expanding, what happens when you multiply x^2 by x?

#### [7] When simplifying by collecting "like terms", do -px and -px cancel out, where p is any integer?

#### [8] When expanding triple brackets, can you multiply any two brackets together to begin?

#### [9] Does a^2 + a^2 = 2a^2?

#### [10] Is (-x)^2 still a negative or do the two minuses cancel out?

#### [11] Will we have to factorise cubic expressions?

#### [12*] When working out algebraic equations, can I move the numbers before the Xs?

#### [13*] When solving, does it matter which side of the equal sign I do more things to?

#### [15] When solving equations, do I equal it to 0?

#### Functions | Inverse and Composite - H

#### [1*] Why do we change f(x) to y?

#### [2*] Where did gf(x) come from?

#### [3] What is the point of doing the inverse of a function?

#### Rearranging Formulae

#### [1] When rearranging formulae, will I get marks for factorising my final answer?

#### [2] Once I have rearranged an equation, is that it?

#### Sequences (Linear, Quadratic - H)

#### [1*] For Quadratic Sequences, what are the rules for formulating the nth term?

#### [2*] How do I work out the rest of the nth term of a Quadratic Sequence following the xn^2 part?

#### [3] In Quadratic Sequences, where does the extra number come from?

#### Simultaneous Equations (Linear, Quadratic - H)

#### [1*] What is the difference between Linear and Quadratic Simultaneous Equations?

#### [4*] For Linear Simultaneous Equations, when do I use the adding method?

#### [5*] In Simultaneous Equations, what is a quick way of making the unknowns the same?

#### [7] For Simultaneous Equations, do I have to put 0x or 0y to indicate the elimination?

#### [8] Do Simultaneous Equations come up on the Non Calculator or Calculator paper?

#### [10*] For Quadratic Simultaneous Equations, what is the point of finding two more values?

#### [11] For Linear Simultaneous Equations, does it matter whether you make the Xs or the Ys the same?

#### Quadratics

#### [1] When solving, and I have a quadratic, what do I do next?

#### [2] In Quadratics, can I divide everything by x?

#### [4*] What is the FOIL method? How does it work? Do I always have to use it?

#### [5] When there is a square root on one side of my solving, can I not do anything with it?

#### [6] In questions with x^2, does a = 1?

#### [7] What does x-coefficient mean?

#### [8*] How do you know which method to use when solving / finding the values of x in a Quadratic?

#### Solving Quadratics | Factorisation (with Coefficients - H)

#### [1*] What does it mean by the 'difference of two squares'?

#### [3] When solving quadratics by Factorisation, will it always be equal to 0?

#### [4*] How do I know which factor to put into which bracket?

#### [5*] How do I factorise quadratics with a coefficient of x^2? ie. a > 1

*Video/Audio explanation COMING SOON*

#### Solving Quadratics | Quadratic Formula - H

#### [1] How do I know if I need to use the Quadratic Formula?

#### [2*] What is the discriminant?

#### [3*] When using the Quadratic Formula, do you put brackets around the square symbol too?

#### [5] For the Quadratic Formula, do I have to put the minus symbol with 'b'?

#### [6*] In the Quadratic Formula, how do I know what my a, b and c are?

#### [7] Is the Quadratic Formula equal to 0?

#### [8*] Do you have to write down both answers for 'x' in Quadratic Formula questions?

#### [9*] With the Quadratic Formula, what happens when both a and c are positive or negative?

#### Solving Quadratics | Completing the Square - H

#### [2*] Why is there a 'p' in the Completing the Square question? ie. (x + p)^2 + q

#### [5*] What do the 3 equal sign lines mean?

#### Graphs (Quadratic, Cubic and Reciprocal)

#### [1] What is a 'parabola'?

**Geometry and Measures**

#### We are currently **loading questions** for this section...

#### Angles | Parallel Lines

#### [1] What do the pairs of arrowheads on lines mean?

#### [2] For Angles between parallel lines, is it only co-interior angles that add up to 180 degrees?

#### [3*] Why are angles written as three letters?

#### Angles | Polygons (Interior and Exterior)

#### [1] COMING SOON...?

#### Circle Theorems - H

#### [1] For Circle Theorems, what does the 'O' mean?

#### [5*] Why are angles written as three letters?

#### Circles | Circumference, Area, Arcs, Sectors and Segments

#### [1] Will I have to know the formulas of Circles - Length of Arcs, and Areas of Sectors and Segments?

#### Compound Shapes

#### COMING SOON...

#### Pythagoras' Theorem (incl. 3D - H)

#### [1] Is there a quicker way of doing Pythagoras' Theorem questions?

#### [2] In Pythagoras, do I still have to square the longest side?

#### Shapes | Perimeters, Areas, Volumes and Descriptions

#### COMING SOON...

#### Similarity and Congruence

#### COMING SOON...

#### Trigonometry

#### COMING SOON...

#### Trigonometry | SOHCAHTOA

#### COMING SOON...

#### Trigonometry | Sine and Cosine Rules - H

#### [1*] How do you know when to use Sine Rule vs. Cosine Rule?

#### Trigonometry | Areas of Non Right Angle Triangles - H

#### COMING SOON...

#### Trigonometry | Exact Values

#### COMING SOON...

#### Vectors (Column, Proofs - H)

#### [1] What do the arrows on questions about Vectors indicate?

#### [2] How do we know when it is a Vectors' question?

**Number**

#### COMING SOON

#### BIDMAS / Rules of Operations

#### COMING SOON...

#### Bounds - H

#### COMING SOON...

#### Conversions | Decimals, Fractions and Percentages

#### COMING SOON...

#### Powers and Roots

#### Content Toggle Headline

#### Index Laws

#### [1] What happens when you multiply x^2 by x?

#### Standard Form

#### COMING SOON...

#### Surds - H

#### COMING SOON...

#### Using a Calculator

#### COMING SOON...

#### Rounding

#### COMING SOON...

#### Rounding | Decimal Places

#### COMING SOON...

#### Rounding | Significant Figures

#### COMING SOON...

**Ratio / Proportion / Rate of Change**

#### COMING SOON

#### Simple and Compound Interest, Rate of Depreciation

#### COMING SOON...

#### Conversions | Units

#### COMING SOON...

#### Direct and Inverse Proportions

#### COMING SOON...

**Statistics ****and Probability**

****

#### COMIING SOON

#### Averages

#### COMING SOON...

#### Frequency Trees

#### COMING SOON...

#### Scatter Graphs

#### COMING SOON...

#### Venn Diagrams

#### COMING SOON...

**General**

#### Questions are loading here...

#### Foundation Tier vs. Higher Tier

#### [1] What topics are only related to HIGHER Tier?

#### Mathematical Notation / Diagram Details

#### [1*] What do the 3 equal sign lines mean?

#### [2*] Why are angles written as three letters?

#### [3*] Will they always use the dashes on lines of equal length, ie isosceles triangles?

#### Terminology / Glossary

#### [1] What does 'x-coefficient' mean?

#### [2] What is a 'parabola'?

#### [3] What does 'expand' mean?

#### [4] What is the 'discriminant'?

#### Mark Scheme

#### [1] What is the difference between 'method marks' and 'accuracy marks'?

**COMING SOON!** Audio/Video versions for further explanations by The UK's No.1 Maths Coach