GCSE Mathematics WJEC
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114 topics in 5 modules
☑️ Number 23 topics
- Calculating Tips
- Ordering Numbers and Place Values
- Multiplying and Dividing Whole Numbers
- Multiplying and Dividing with Decimals
- Negative Numbers
- Rounding Numbers
- Estimating
- Bounds
- Special Types of Number
- Multiples, prime factors and factors
- HCF and LCM
- Fractions
- Fractions, percentages and decimals
- Fractions and recurring decimals
- Percentages
- Compound Growth and Decay
- Types of Interest Rate
- Ratios
- Direct and Inverse Proportions
- Powers and Roots
- Standard Form
- Manipulating Surds
- Venn Diagrams
☑️ Surds 10 topics
- Understanding the Concept of Surds
- Squaring and Cube Roots
- Simplification of Surds
- Rationalizing the Denominator
- Operations with Surds (Addition, Subtraction, Multiplication, Division)
- Simplifying Expressions Involving Surds
- Expansion of Surds
- Converting Between Surds and Decimal Form
- Solving Equations with Surds
- Real World Applications of Surds
☑️ Algebra 30 topics
- Algebra- Simplifying
- Algebra- Multiplying and Dividing
- Multiplying Double Brackets
- Fractions
- Using Formulas
- Solving Equations
- Formulas and Equations from Words
- Rearranging Formulas
- Factorising Quadratics
- The Quadratic Formula
- Quadratic Equations
- Trial and Improvement
- Algebraic Fractions
- Sequences
- Inequalities
- Graphical Inequalities
- Simultaneous Equations
- Algebraic Proportion
- Coordinates and Midpoints
- Straight Lines
- y= mx + c
- Drawing Straight Line Graphs
- Parallel and Perpendicular Lines
- Quadratic Graphs
- Harder Graphs
- Graph Transformations
- Real-Life Graphs
- Distance-Time Graphs
- Velocity-Time graphs
- Gradients of Real-Life Graphs
☑️ Geometry and Measure 28 topics
- Symmetry
- Polygons
- Triangles and Quadrilaterals
- Congruence and Similarity
- Perimeters and Area
- Area- Circles
- Nets and Surface Areas
- 3D Shapes- Volume
- Projections
- Reading Scales
- Reading Timetables
- The Four Transformations
- Area and Volume Conversions
- Compound Measures
- Angle Basics
- Angle and Shapes
- Parallel Lines
- Circle Geometry
- Quadrilateral and Triangle Construction
- Loci and Construction
- Bearings
- Maps and Scale Drawings
- Pythagoras' Theorem
- Trigonometry- Sin, Cos and Tan
- The Sine and Cosine Rules
- 3D Pythagoras
- 3D Trigonometry
- Trigonometric Graphs
☑️ Statistics 23 topics
- Planning an Investigation
- Sampling
- Collecting Data
- Mean, Median, Mode and Range
- Averages and Spread
- Simple Charts and Graphs
- Pie Charts
- Scatter Diagram
- Interpreting Data
- Frequency Tables- Finding Averages
- Averages from Grouped Data
- Frequency Polygons and Diagrams
- Box and Whisker Plots
- Cumulative Frequency
- Histograms and Frequency Density
- Histograms and Frequency Distributions
- Probability Basics
- Counting Outcomes
- Probability Experiments
- The AND/OR Rule
- Tree Diagrams
- Conditional Probability
- Probability from Venn Diagrams
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GCSE Mathematics WJEC Revision Content
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GCSE Mathematics WJEC - Number - Calculating Tips Content Preview
Number
Calculating Tips
- The ability to calculate tips is a practical application of percentages, an important concept in number mathematics.
- Remember that "percentage" literally means "per 100", so 15% is the same as 15 out of 100, or 0.15 in decimal form.
- To find the amount of a tip, multiply the total bill by the tip rate. If a bill is £25 and you wish to leave a 20% tip, calculate 25 * 0.20 = £5.
- Many people find it helpful to work out a 10% tip first and then adjust appropriately. To get 10%, simply move the decimal point one place to the left.
- If you want to leave a 15% tip, figure out 10%, then halve that number to find 5%, and add the two amounts together.
- The tip is usually given in addition to the total bill, so add the tip amount to the cost of the total bill to give the total amount to pay.
- Always check your calculation. If the percentage tip seems too high or low for the total cost, you may have made a mistake in your calculation.
- Practice makes perfect. Try to calculate the tip quickly and accurately without using a calculator. This skill not only comes in handy in everyday life, but also helps you to understand and apply percentage calculations more effectively.
Question: A group of friends dined at a restaurant, and the total bill came to £88. If they decided to leave a 12% tip, how much did they pay in total?
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