About the test

• Perform Computation using any of the four basic operations with real numbers
• Convert among fractions, percentages and decimals
• Express a value to a given number of decimal places
• Calculate any fraction or percentage of a given quantity
• Express one quantity as a fraction or percentage of another
• Compare two quantities using ratios
• Divide a quantity in a given ratio
• Solve problems using fractions, decimals, percentages, ratios, rates, and proportions, and arithmetic mean

• Distinguish among sets of numbers (natural, whole, integers, rational, irrational)
• Order a set of real numbers
• Identify a given set of numbers as a subset of another set
• List the set of factors or a set of multiples of a given positive integer
• Compute the highest common factor or lowest common multiple of two or more positive integers
• Use properties of numbers and operations in computational tasks
• Solve problems involving concepts in number theory

• Calculate discount, sales tax, profit or loss
• Express a profit, loss, discount, markup and purchase tax as a percentage of some value
• Solve problems involving simple interest
• Solve problems involving compound interest, appreciation and depreciation
• Solve problems involving measures and money (e.g., exchange rate)

• Explain concepts relating to sets
• Represent a set in various forms
• Describe relationships among sets using set notation and symbol
• List subsets of a given set
• Determine elements in intersections, unions and complements of sets
• Construct Venn diagrams to represent relationships among sets
• Solve problems involving the use of Venn diagrams
• Solve problems in Number Theory and Algebra using concepts in Set Theory

• Differentiate between types of data (discrete vs continuous, grouped vs ungrouped)
• Determine class features for a given set of data (class interval, class boundaries, class limits, class midpoint class width)
• Construct statistical diagrams (pie charts, bar chars, line graphs, histograms, frequency polygons)
• Interpret statistical diagrams
• Determine measures of central tendency for raw, ungrouped and grouped data (mean, median, mode)
• Determine the most appropriate measure for the average of a set of data
• Determine the measures of dispersion for raw, ungrouped and grouped data (range, interquartile range and semi-interquartile range)
• Construct a cumulative frequency table for ungrouped and grouped data
• Draw cumulative frequency curve (Ogive)
• Use statistical diagrams
• Determine the proportion or percentage of the sample above or below a given value from raw data, table, or frequency curve
• Identify the sample space for an experiment
• Determine experimental and theoretical probabilities of event
• Make inference from statistics

• Use symbols to represent numbers, operations, variables, and relations
• Translate statements expressed algebraically into verbal phrases
• Perform the arithmetic operations involving directed numbers
• Perform the four basic operations with algebraic expressions
• Substitute numbers for algebraic symbols in simple algebraic expressions
• Perform binary operations
• Apply the distributive law to factorise or expand;algebraic expressions
• Simplify algebraic functions
• Use the laws of indices to manipulate expressions with integral indices
• Solve linear equations in one unknown
• Solve simultaneous linear equations in two unknowns, algebraically
• Solve a simple linear inequality in one unknown
• Change the subject of formulae
• Factorise algebraic expressions
• Solve quadratic equations
• Solve word problems
• Prove two algebraic expressions to be identical

• Explain concepts associated with relations
• Represent a relation in various ways
• State the characteristics that define a function
• Use functional notation
• Distinguish between a relation and function
• Draw and interpret graphs of linear of linear functions
• Determine the intercepts of the graph of linear functions
• Determine the gradient of a straight line
• Determine the equation of a straight line
• Solve graphically a system of two linear equations in two variables
• Represent the solution of linear inequalities in one variable using set notation, the number line, graph,
• Draw a graph to represent a linear inequality in two variables
• Derive composite functions
• State the relationship between a function and its inverse
• Derive the inverse of a function
• Determine the roots of a quadratic function using the quadratic formula or the factorisation method
• Determine the minimum or maximum value of a function
• Determine the domain and range of a function