Here is a list of all of the skills students learn in pre-K! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. We will track your score, and the questions will automatically increase in difficulty as you improve!
L O: 1.1: Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers
L O: 1.2: Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative
L O: 1.3: Use conventional notation for the
priority of operations, including brackets, powers,
roots and reciprocals. Recognise and use relationships between operations including inverse operations
L O: 1.4: Use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations
L O: 1.5: Interpret and compare numbers in standard form A x 10n 1?A<10, where n is a positive
or negative integer or zero
L O: 1.6: Define and interpret percentages and percentage
changes as a fraction or a decimal, interpret these multiplicatively,
express one quantity as a percentage of another, compare two quantities using percentages, interpret fractions and percentages as operators
L O: 1.7: Use standard units of mass, length, time, money and other measures, including with decimal quantities
L O: 1.8: Use approximation through rounding to estimate answers and calculate possible
resulting errors
L O: 1.9: Use the concepts and vocabulary of prime numbers, factors (or divisors), multiples, common factors, common multiples, highest common factor, lowest common multiple, prime factorisation, including using product notation and the unique factorisation
property
L O: 2.1: Use algebraic methods to solve linear equations in one and two variables. Model situations by using graphs
L O: 2.2: Recognise geometric sequences and appreciate other sequences that arise.
L O: 2.3: Recognise, sketch and produce graphs of linear and quadratic functions of one variable
with appropriate scaling, using equations in x and y
and the Cartesian plane. Work with coordinates in all four quadrants
L O: 2.4: Reduce a given linear equation in two variables to the standard form y = mx + c;
calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically. Use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
L O: 2.5: Find approximate solutions to contextual problems from given graphs of a variety of
functions, including piece-wise linear, exponential and reciprocal graphs
L O: 3.1: Divide a given quantity into two parts in a given part: part or part: whole ratio; express the division of a quantity into two parts as a ratio. Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions
L O: 3.2: Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics.
L O: 3.3: Solve problems involving direct and
inverse proportion, including graphical and algebraic
representations
L O: 4.1: Derive and apply formulae to calculate and solve
problems involving: perimeter and area of triangles, parallelograms,
trapezia, circles, volume of cuboids (including cubes) and other prisms
(including cylinders)
L O: 4.2: Draw and measure line segments and angles in geometric figures, including interpreting scale drawings. Derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures. Understand and use the relationship between parallel lines and alternate and corresponding angles
L O: 4.3: Derive and use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); recognise and use the perpendicular distance from a point to a line as the shortest distance to the line
L O: 4.4: Identify figures that are reflectively and rotationally symmetric. Identify properties of, and describe the results of, translations, rotations and reflections applied to given figures
L O: 4.5: Use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D
L O: 4.6: Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
L O: 5.1: Record, describe and analyse the frequency of outcomes of simple probability experiments involving randomness, fairness, equally and unequally likely outcomes, using appropriate language and the 0-1 probability scale
L O: 5.2: Enumerate sets and unions/intersections of sets systematically, using tables, grids and Venn diagrams
L O: 6.1: Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread
(range, consideration of outliers)
L O: 6.2: Construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or
bar) charts for ungrouped and grouped numerical data
