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....
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1.1 Basic calculations ©Cambridge University Press and OCR 2021 2 TIP Some questions need to be worked out in stages. Do not be tempted to do the calculations in your head. 4 Subtract the product of 27 and 15 from the sum of 582 and 260. 5 Add the difference between 1201 and 725 to the quoti...
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Add to cart1.1 Basic calculations ©Cambridge University Press and OCR 2021 2 TIP Some questions need to be worked out in stages. Do not be tempted to do the calculations in your head. 4 Subtract the product of 27 and 15 from the sum of 582 and 260. 5 Add the difference between 1201 and 725 to the quoti...
1.2 Order of operations ©Cambridge University Press and OCR 2021 2 TIP Remember that a fraction such as becomes and a root such as becomes . 2 Which of the solutions is correct in each case? Find the mistakes in the incorrect option. Option A Option B a 8 × 3 + 4 8 × 3 + 4 = 24 + 4 = ...
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Add to cart1.2 Order of operations ©Cambridge University Press and OCR 2021 2 TIP Remember that a fraction such as becomes and a root such as becomes . 2 Which of the solutions is correct in each case? Find the mistakes in the incorrect option. Option A Option B a 8 × 3 + 4 8 × 3 + 4 = 24 + 4 = ...
Expand means multiply out an expression to get rid of the brackets. Exercise 1 1 Multiply out and simplify if possible. a b c d e f g h i j k WORKED EXAMPLES Expand and simplify these expressions. a b Solutions a 3(x + 2y) − (x − 3y) You can write ‘1’ before the second bracket b...
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Add to cartExpand means multiply out an expression to get rid of the brackets. Exercise 1 1 Multiply out and simplify if possible. a b c d e f g h i j k WORKED EXAMPLES Expand and simplify these expressions. a b Solutions a 3(x + 2y) − (x − 3y) You can write ‘1’ before the second bracket b...
Exercise 1 1 Which of the following simplify to p? a b c d 2 These triangles are similar but not congruent. Are the following true or false? a b c d TIP An equation is two expressions linked by an ‘=’ sign, for example, 2 + 2x = 4x. An identity is an equation where the expressions on eit...
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Add to cartExercise 1 1 Which of the following simplify to p? a b c d 2 These triangles are similar but not congruent. Are the following true or false? a b c d TIP An equation is two expressions linked by an ‘=’ sign, for example, 2 + 2x = 4x. An identity is an equation where the expressions on eit...
4.1 AND 4.2 SEQUENCES, PATTERNS AND FINDING THE NTH TERM ©Cambridge University Press and OCR 2021 2 WORKED EXAMPLES Look at this sequence of numbers: 1, 3, 5, 7, 9 a Complete the table. Position in the sequence Value of the term Difference between terms 1 1 + 2 2 3 3 4 5 4 a Writ...
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Add to cart4.1 AND 4.2 SEQUENCES, PATTERNS AND FINDING THE NTH TERM ©Cambridge University Press and OCR 2021 2 WORKED EXAMPLES Look at this sequence of numbers: 1, 3, 5, 7, 9 a Complete the table. Position in the sequence Value of the term Difference between terms 1 1 + 2 2 3 3 4 5 4 a Writ...
4.3 AND 4.4 FUNCTIONS AND SPECIAL SEQUENCES ©Cambridge University Press and OCR 2021 2 Exercise 1 1 Here is a function. x ÷ 4 + 9 y The input is x and the output is y. Write an algebraic equation for y in terms of x. 2 Write the equation that connects the input (x) with the output (y). a x...
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Add to cart4.3 AND 4.4 FUNCTIONS AND SPECIAL SEQUENCES ©Cambridge University Press and OCR 2021 2 Exercise 1 1 Here is a function. x ÷ 4 + 9 y The input is x and the output is y. Write an algebraic equation for y in terms of x. 2 Write the equation that connects the input (x) with the output (y). a x...
Exercise 1 1 a What is the mathematical name for this shape? b What do the arrow markings on the lines mean? c Complete this statement: PQ is parallel to ................ d Complete this statement: The length of PS is equal to the length of ................ e Use letters to name the angle label...
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Add to cartExercise 1 1 a What is the mathematical name for this shape? b What do the arrow markings on the lines mean? c Complete this statement: PQ is parallel to ................ d Complete this statement: The length of PS is equal to the length of ................ e Use letters to name the angle label...
1 Write down the mathematical name of the following triangles. Choose from the words in the box. isosceles equilateral right-angled scalene a b c d 2 What is the mathematical name given to a a regular triangle b a regular quadrilateral? 3 Fill in the missing words in each sentence. a A triang...
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Add to cart1 Write down the mathematical name of the following triangles. Choose from the words in the box. isosceles equilateral right-angled scalene a b c d 2 What is the mathematical name given to a a regular triangle b a regular quadrilateral? 3 Fill in the missing words in each sentence. a A triang...
4 Identify the shapes that are not polyhedra from this list. cylinder cube cone sphere cuboid 5 Make a copy of the table below and complete it for these four 3D shapes. a b c Solid Faces Edges Vertices a b c Reminder A pyramid is a polyhedron with a polygon base and triangular faces that m...
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Add to cart4 Identify the shapes that are not polyhedra from this list. cylinder cube cone sphere cuboid 5 Make a copy of the table below and complete it for these four 3D shapes. a b c Solid Faces Edges Vertices a b c Reminder A pyramid is a polyhedron with a polygon base and triangular faces that m...
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...
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Add to cartExercise 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...
6.3 AND 6.4 LOCI AND PROBLEMS ©Cambridge University Press and OCR 2021 2 2 The locus of all points that are equidistant from two lines will bisect the angle between the two lines. AB and BC represent the sides of a field. Jack is in the corner of the field at point B. He wants to walk into ...
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Add to cart6.3 AND 6.4 LOCI AND PROBLEMS ©Cambridge University Press and OCR 2021 2 2 The locus of all points that are equidistant from two lines will bisect the angle between the two lines. AB and BC represent the sides of a field. Jack is in the corner of the field at point B. He wants to walk into ...
Exercise 1 1 The scale on a map is 1 : 400. What is the actual distance (in metres) between two points that are 15 cm apart on the map? 12.3 MAPS, SCALE DRAWINGS AND BEARINGS ©Cambridge University Press and OCR 2020 2 2 Work out the real distance in km that a map distance of 15mm would repres...
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Add to cartExercise 1 1 The scale on a map is 1 : 400. What is the actual distance (in metres) between two points that are 15 cm apart on the map? 12.3 MAPS, SCALE DRAWINGS AND BEARINGS ©Cambridge University Press and OCR 2020 2 2 Work out the real distance in km that a map distance of 15mm would repres...
Exercise 1 1 Convert these areas. a 15m2 to cm2 b 8.8km2 to m2 c 3600mm2 to cm2 d cm2 to m2 2 Convert these volumes. a 6.2m3 to cm3 b cm3 to m3 c 750cm3 to mm3 d 0.6km3 to m3 12.2 Compound units of measurement ©Cambridge University Press and OCR 2020 2 3 Jack runs ...
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Add to cartExercise 1 1 Convert these areas. a 15m2 to cm2 b 8.8km2 to m2 c 3600mm2 to cm2 d cm2 to m2 2 Convert these volumes. a 6.2m3 to cm3 b cm3 to m3 c 750cm3 to mm3 d 0.6km3 to m3 12.2 Compound units of measurement ©Cambridge University Press and OCR 2020 2 3 Jack runs ...
8.4 and 8.5 Graphs and their equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.4 and 8.5 Graphs and their equations • linear equations • two linear simultaneous equations • quadratic equations • real life graphs. Linear equation graphs WORKED EXAMPLES This is th...
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Add to cart8.4 and 8.5 Graphs and their equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.4 and 8.5 Graphs and their equations • linear equations • two linear simultaneous equations • quadratic equations • real life graphs. Linear equation graphs WORKED EXAMPLES This is th...
8.3 Simultaneous equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.3 Simultaneous equations • forming two linear simultaneous equations • solving two linear simultaneous equations with two variables algebraically. WORKED EXAMPLE Two positive, whole numbers x and y have a...
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Add to cart8.3 Simultaneous equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.3 Simultaneous equations • forming two linear simultaneous equations • solving two linear simultaneous equations with two variables algebraically. WORKED EXAMPLE Two positive, whole numbers x and y have a...
8.2 Quadratic equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.2 Quadratic equations • Quadratic equations have at least one term with a variable that is squared, e.g. x2 . • Roots mean solutions. There can be zero, one or two solutions to any quadratic equation. TIP T...
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Add to cart8.2 Quadratic equations ©Cambridge University Press and OCR 2021 1 8 Equations 8.2 Quadratic equations • Quadratic equations have at least one term with a variable that is squared, e.g. x2 . • Roots mean solutions. There can be zero, one or two solutions to any quadratic equation. TIP T...
8.1 LINEAR EQUATIONS ©Cambridge University Press and OCR 2021 1 8 Equations 8.1 Linear equations • A linear equation is an equation where the highest power of the variable is 1, e.g. x + 2 = 5. • Variable means a letter representing an unknown number. • Solve means to find the unknown ...
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Add to cart8.1 LINEAR EQUATIONS ©Cambridge University Press and OCR 2021 1 8 Equations 8.1 Linear equations • A linear equation is an equation where the highest power of the variable is 1, e.g. x + 2 = 5. • Variable means a letter representing an unknown number. • Solve means to find the unknown ...
7.2 Factorising quadratic expressions ©Cambridge University Press and OCR 2021 1 7 Further algebraic expressions 7.2 Factorising quadratic expressions • factorising quadratic expressions of the form Reminder Two examples of quadratic expressions in the form are and . The highest power of...
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Add to cart7.2 Factorising quadratic expressions ©Cambridge University Press and OCR 2021 1 7 Further algebraic expressions 7.2 Factorising quadratic expressions • factorising quadratic expressions of the form Reminder Two examples of quadratic expressions in the form are and . The highest power of...
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 w...
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Add to cart14.3 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 w...
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 EXAMP...
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Add to cart13.3 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 EXAMP...
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 an...
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Add to cart13.1 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 an...
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 ...
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Add to cart10.1 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 ...
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....
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Add to cartExercise 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....
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 exam...
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Add to cart9.1 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 exam...
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