ACER Certificate in Mathematics

The ACER Certificate in Mathematics level 1 is appropriate for Years 3 and 4 students performing at an above-average achievement level and for Years 5 and 6 students performing at an average achievement level.

Students who achieve the ACER Certificate in Mathematics Level 1 demonstrate skills to:

Number and algebra
  • Use addition, subtraction, multiplication and division in questions and problems
  • Find change in money problems
  • Recognise and use fractions e.g. on a number line
  • Continue number patterns and find missing numbers in number patterns

Example test questions

Sample question

Skill illustration videos

Odd and even numbers
Odd and even numbers 2
Comparing size of fractions
Finding change
Number patterns and rules
Measurement and geometry
  • Tell time and solve problems with time
  • Measure distance and length
  • Recognise and name shapes
  • Find area and perimeter
  • Identify symmetry

Example test questions

Sample question

Skill illustration videos

Reading a scale: using a measuring jug
Time elapsed: using 2 real clocks
Grid map
Statistics and probability
  • Reading and understand different tables and graphs
  • Use and understand simple probability

Example test questions

Sample question

Skill illustration videos

Tossing a coin

The ACER Certificate in Mathematics level 2 is appropriate for Years 5 and 6 students performing at an above-average achievement level and for Years 7 and 8 students performing at an average achievement level.

Students who achieve the ACER Certificate in Mathematics Level 2 demonstrate skills to:

Number and algebra
  • Use multiplication and division in multi-step problems
  • Use fractions in calculations or on number lines
  • Add and subtract decimals
  • Continue number patterns including those with decimals, fractions and shapes

Example test questions

Sample question

Skill illustration videos

Ordering fractions: creating a number line
Solving multi-step money problems
Finding missing number in equivalent number sentences
Measurement and geometry
  • Tell time and convert between 12 and 24-hour time
  • Read and use timetables
  • Find perimeter and area of shapes
  • Find volume of objects
  • Identify cross-sections
  • Read maps and find the distance between two locations on a map
  • Find and identify angles
  • Reflect or rotate shapes

Example test questions

Sample question

Skill illustration videos

Difference between perimeter and area
Matching nets and 3D shapes
Transformations: using shapes
Statistics and probability
  • Read and understand different tables and graphs including column graphs and pie charts
  • Use and find probability for objects such as dice and spinners

Example test questions

Sample question

Skill illustration videos

Rolling a dice - the possibilities
Reading a table

The ACER Certificate in Mathematics level 3 is appropriate for Years 7 and 8 students performing at an above-average achievement level.

Students who achieve the ACER Certificate in Mathematics Level 3 demonstrate skills to:

Number and algebra
  • Use negative numbers in calculations
  • Solve one and two-step problems
  • Convert between fractions, decimals and percentages
  • Use fractions, decimals and percentages in calculations
  • Interpret distance-time (line) graphs
  • Identify a number pattern that is extended
  • Use proportions and ratios when solving problems

Example test questions

Sample question

Skill illustration videos

Features of numbers
Dividing by a fraction
Rounding decimals
Best buy
Using unknowns
Measurement and geometry
  • Read and interpret timetables
  • Find the area of compound shapes
  • Convert between units of measurement
  • Identify key features of 3D objects such as faces, edges and vertices
  • Match 3-D shapes and their nets
  • Identify and give coordinates of a point

Example test questions

Sample question

Skill illustration videos

Area of a triangle
Reading a timetable
Cartesian coordinate system
Statistics and probability
  • Read and understand tables and graphs including 2-way tables
  • Calculate the mean, median, mode and range
  • Use and find probability for a range of different activities

Example test questions

Sample question

Skill illustration videos

Describing chance: Using a pack of cards
Data representation and interpretation
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