Home » Activities » Year 8

## Year 8

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
• Understand, compare and sort integers, decimals and fractions
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
• Add, subtract, multiply and divide number, decimals and fractions
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
• Exponents and square roots
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
• Scientific notations
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
• Percentage
L O: 1.7: Use standard units of mass, length, time, money and other measures, including with decimal quantities
• Measurements using standard units
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
• Number theory
L O: 2.1: Use algebraic methods to solve linear equations in one and two variables. Model situations by using graphs
• Interpret and solve equations
L O: 2.2: Recognise geometric sequences and appreciate other sequences that arise.
• Arithmetic and geometric sequences
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
• Slope-intercept form and solution of 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
• Graphs of different functions
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
• Interpret and solve ratios
L O: 3.2: Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics.
• Change in percentage and interest
L O: 3.3: Solve problems involving direct and inverse proportion, including graphical and algebraic representations
• Direct and Inverse relations
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)
• Area, Perimeter and volume of figures
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
• Understand lines and angles and interpret these as properties of figures
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
• Constructions
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
• Translation, Reflection and Rotation
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
• Properties of a 3D shape
L O: 4.6: Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
• Pythagoras theorem and its use
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
• Interpret and find probability
L O: 5.2: Enumerate sets and unions/intersections of sets systematically, using tables, grids and Venn diagrams
• Set theory 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)
• Mean, median and mode of discrete, continuous and grouped data
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
• Data graphs
Top of Page