ASSIGNMENT FELLOWS

7.1 Multiplying two binomials ©Cambridge University Press and OCR 2021 1 7 Further algebraic expressions 7.1 Multiplying two binomials • expanding the product of two binomials. Reminder A binomial is an expression that contains two terms, e.g. (2x + 3) and (3x − 1). The product of two binomials is written like this (2x + 3)(3x − 1) (there is no need to put the ‘×’ between the brackets). Multiply out means find the product. Simplify means collect like terms. WORKED EXAMPLE...

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OCR GCSE MATHS 9.1 ANGLE FACTS OCR GCSE 9.2 PARALLEL LINES AND ANGLES A+GRADED OCR GCSE MATHS 10.1 EQUIVALENT FRACTION(QUESTIONS AND ANSWERS) OCR GCSE MATHS 13.3 PERCENTAGE CHANGE EXAM OCR GCSE MATHS 8.1 LINEAR EQUATIONS(LATEST EDITION) OCR GCSE MATHS 8.3 SIMULTANEOUS EQUATIONS A+GRADED OCR GCSE 8.2 MATHS QUADRATIC EQUATIONS EXAM

9.1 Angle facts ©Cambridge University Press and OCR 2020 1 9 Angles 9.1 Angle facts None of the diagrams on this worksheet are to scale. • angles around a point • angles on a straight line • vertically opposite angles. TIP Symbols can be used to label and refer to angles. For example, we could refer to the angle below as or or x. WORKED EXAMPLE Angles around a point total 360° Work out the size of the angle marked x in the diagram and state whether it is acute, obtuse or...

Exercise 1 1 Using the diagram below, identify one pair of angles that are a vertically opposite b alternate c corresponding. 9.2 Parallel lines and angles ©Cambridge University Press and OCR 2020 2 2 In the diagram, AB is parallel to DC. Work out angle BDC. 3 AB and CD are parallel lines. EF and FB are straight lines. Complete the following statements. x = 50° because ……………………………………… y = 75° because ………………………………………. 4 ...

10.1 EQUIVALENT FRACTIONS ©Cambridge University Press and OCR 2020 1 10 Fractions 10.1 Equivalent fractions • Factor means a number that divides exactly into another number without leaving a remainder. • Lowest Common Multiple means the smallest positive whole number that is a multiple of two or more numbers. • Mixed number is a number made up of a whole number and a fraction, e.g. . • Proper fraction has the numerator (top) less than the denominator (bottom), e.g. . • Impro...

13.1 AND 13.2 CHANGING BETWEEN PERCENTAGES, FRACTIONS AND DECIMALS AND PERCENTAGE CALCULATIONS ©Cambridge University Press and OCR 2020 1 13 Percentages 13.1 and 13.2 Changing between percentages, fractions and decimals and percentage calculations • changing between fractions, decimals and percentages • calculating a percentage of an amount • writing a quantity as a percentage of another. 13.1 Changing between fractions, decimals and percentages Remember: to change a fraction ...

13.3 Percentage change ©Cambridge University Press and OCR 2020 1 13 Percentages 13.3 Percentage change • increasing and decreasing amounts by a given percentage • finding original values • finding percentage change. Increasing and decreasing amounts by a given percentage WORKED EXAMPLE Increase 50 by 8%. Solution Method 1 First find 8% of 50. The increase is 4. The increased value is 50 + 4 = 54. The answer is 54. Method 2 Original value = 100% Increase = 8% New val...

14.3 AND 14.4 CHANGING THE SUBJECT OF A FORMULA AND WORKING WITH FORMULAE ©Cambridge University Press and OCR 2020 1 14 Algebraic formulae • using inverse operations to rearrange formulae to make another variable the subject • formulae you should know and formulae you may be asked to work with. 14.3 Changing the subject of a formula Rearranging formulae WORKED EXAMPLE Make c the subject of the formula X = . Solution X = Multiply both sides of the formula by c. Divide both sides b...

Exercise 1 1 Estimate and measure the size of these angles. a b Using protractors to draw angles WORKED EXAMPLE Use a protractor to draw ∠ABC = 76°. Solution Draw a horizontal line using your ruler. Mark a point on the line and label it B. Place the centre of the protractor exactly on B. Be careful! When choosing which scale to use on your protractor, remember that 76° is an acute angle. Mark 76° with a pencil. Remove the protractor and draw a line from B through the 76° mark...