Mathematics Equivalency Testing  

Higher Level Syllabus 2013 to 2015

Week 1 

Standard Form & Calculations/Calculator Skills 

• Writing normal numbers in Standard Index Form
• Writing numbers from Standard Index Form to normal numbers
• Solving calculations in Standard Index Form using a scientific calculator and the relative function
• Solving calculations written as normal numbers using a scientific calculator
• Evaluating powers, roots and exponential functions using a scientific calculator
• Long multiplication
• Estimation
• Multiplying by powers of 10
• Prime Factors, Highest Common Factor and Lowest Common Multiple

Week 2 

Further Calculations/Non-Calculator Skills

• Conversion of one currency to another
• Converting Imperial to Metric units and Metric units to Imperial
• Fractions and Decimals
• Solve percentage problems Including Compound and Simple Interest
• Percentage Increase and Decrease including Profit and Loss

Week 3 

Angles 

• Identifying and calculating angles from the following:
• Angles in a Triangle
• Angles on a Straight Line
• Angles where Parallel Lines are involved in the diagram
• Interior and Exterior angles in Regular”Shapes”

Week 4 

Areas and Volumes 

• Areas of regular shapes including:
• Triangles & Rectangles
• Trapeziums & Circles
• Volumes of Cuboids
• Cylinders & Prisms
• All formula for Areas and Volumes must be learnt as not information sheets are given in the examination.

Week 5 

Ratios 

• Ratios in the form of 3:7
• Ratios of similar shapes
• Ratios of ingredients when cooking

Week 6 

Pythagoras and Trigonometry

• Calculate the length of a side of a right angled triangle using Pythagoras Theorem.
• Calculate the length of a side of a right angled triangle or an unknown angle using one of the three
• Trigonometry ratios. Sine, Cosine or Tangent.
• Understand and use a scientific calculator for both of these topics.

Week 7 

Algebra 

• Factorising equations.
• Expanding and simplifying equations.
• Solving equations.
• Writing algebraic expressions.
• Solving Simultaneous Equations by the elimination method.
• Find solutions to quadratic equations by factors.

Week 8 

Number Sequences or Number Patterns

• Complete a number pattern.
• Explain in words how to complete the pattern.
• Write the expression for the “nth” term for a given pattern.

Week 9 

Graphs 

• Complete Scatter Graphs and draw a line of best fit.
• Take data from Scatter Graphs, including the Correlation.
• Complete the table of results for Straight Line Graphs.
• Draw Straight Line Graphs and use the graph to give values of X and Y.
• Complete the table of results for Quadratic Graphs.
• Draw Quadratic Graphs and find the solutions from the graph.

Week 10 

Statistics 

• Calculate the Mean, Mode and Median.
• Complete Frequency and Cumulative Frequency tables.
• Draw Cumulative Frequency Graphs.
• From the graphs clearly identify the Median, Upper, Lower and Inter Quartile values.

Week 11 

Probability 

• Writing probabilities from given information.
• This will be either as a fraction or decimal.
• Writing down all possible outcomes of events.
• Work out the probability of an event happening.
• Work out the probability of combined events.
• Complete Tree Diagrams.

Week 12 

Miscellaneous 

• Draw Stem and Leaf Diagrams, including a Key
• Calculate Moving Averages
• Inequalities
• Identify Lines, Areas and Volumes from given formula