Education Counts

Page navigation links

  • Education Counts Logo
  • Skip to Primary Navigation Menu
  • Skip to Secondary Navigation Menu
  • Skip to search
  • Skip to content

Site Search

Site Search

Site navigation menus

  • Know your region
  • Find your nearest school
  • Early learning services
  • Directories
  • Publications
  • Statistics
  • Topics
  • Data Services

Search the education counts website

Find pages with

Narrow results by:

The Adult Literacy and Life Skills (ALL) Survey: Numeracy skills and education in New Zealand and Australia
Publications

Publication Details

This report provides an initial investigation into the relationships between education level, numeracy, participation in up-skilling and self-assessed numeracy through the adult populations of New Zealand and Australia.

Author(s): Paul Satherley and Elliot Lawes, Research Division, Ministry of Education.

Date Published: August 2009

Section 3: Numeracy levels in New Zealand & Australia

In Figure 1 below, the distribution of numeracy levels in New Zealand are compared with those in Australia. In Figure 2, the distribution of numeracy levels by education level in New Zealand are compared with those in Australia.

Based on their performance in the ALL survey's numeracy test, respondents were assigned one of five "cognitive levels". The following list provides descriptions of typical tasks associated with each cognitive level.

Level 1:

Tasks require the ability to perform simple one-step calculations.

Level 2:

Tasks demand the capacity to execute one- or two-step calculations and estimations.

Level 3:

Typical tasks involve the facility to manipulate mathematical symbols, perhaps in several stages.

Level 4:

A task might demand the completion of multiple-step calculations requiring some reasoning.

Level 5:

Tasks incorporate the capability to understand and use abstract mathematical ideas with justification.
Figure 1: Numeracy Levels in New Zealand and Australia

Figure 1: Numeracy Levels in New Zealand and Australia

Note:

  1. Levels 3, 4 and 5 were grouped to ensure statistically robust statistics.


Figure 1 shows the percentages of the adult populations of New Zealand and Australia at Level 1, Level 2 and Level 3, 4, or 5. Level 3 is considered to be the minimum for full participation in the knowledge society and economy; hence the columns for New Zealand and Australia in Figure 1 are both "anchored" at the Level 2/3 threshold.

New Zealand and Australia have very similar overall distributions of numeracy levels: in both countries around half of the adult population have numeracy skills below the minimum considered necessary for full participation in the knowledge society and economy.

Figure 2: Numeracy Levels by education level in New Zealand and Australia

Figure 2: Numeracy Levels by education level in New Zealand and Australia

Note:

  1. Levels 3, 4 and 5 were grouped to ensure statistically robust statistics.


Figure 2 shows, for each education level, the percentages of the adult populations of New Zealand and Australia in that education level at Level 1, Level 2 and Level 3, 4, or 5.

For both countries, the percentage of those with levels 3, 4 or 5 numeracy skills was higher for higher education levels. For example, 13% of New Zealanders with lower secondary or less education had levels 3, 4 or 5 numeracy skills. This compares with 41% for those with upper secondary education and 66% for those with a tertiary education.

In each of the three reported education levels Australia performed better than New Zealand – particularly in the lower secondary or less education level.

Figure 2 presents an apparent contradiction with Figure 1: Australia performed better than New Zealand at every education level but almost the same overall. To reconcile these figures note that approximately 34% of Australian adults had lower secondary or less education (compared with 10% of New Zealand adults), approximately 33% of Australian adults had upper secondary education (compared with 46% of New Zealand adults), and approximately 34% of Australian adults had tertiary education (compared with 44% of New Zealand adults). So although those with lower secondary or less education levels in Australia performed better than their New Zealand counterparts, there were relatively more of them, hence the overall numeracy distributions of Figure 1 are similar.

Navigation

  • Publication Series
  • Adult Literacy and Life Skills
  • The ALL Survey: Numeracy skills & education in NZ & Australia

Downloads

  • Full Report (PDF, 287.9 KB)
  • Full Report (DOC, 1.3 MB)

Sections

  1. Section 1
  2. Section 2
  3. Section 3
  4. Section 4
  5. Section 5

Where to find out more

  • The ALL Survey: Numeracy skills & education in NZ & Australia

Contact us

For more information about the content on this webpage, please email the Tertiary Mailbox

Home Close Menu
  • Know your Region Show submenu
  • Find your nearest school Show submenu
  • Early Learning Services Show submenu
  • Directories Show submenu
    • Early Childhood Services Directory – APIShow submenu
    • Early Childhood ServicesShow submenu
    • School Directory – APIShow submenu
    • New Zealand SchoolsShow submenu
    • Māori Schools DirectoryShow submenu
      • Māori Schools DirectoryShow submenu
    • Pacific Schools DirectoryShow submenu
    • Tertiary ProvidersShow submenu
    • School Mergers, Closures & NewShow submenu
  • Publications Show submenu
    • Early Childhood EducationShow submenu
    • MāoriShow submenu
      • KME & MMEShow submenu
      • English-medium EducationShow submenu
      • KME or MME, & English-mediumShow submenu
    • SchoolingShow submenu
      • LearnersShow submenu
        • Learners in GeneralShow submenu
        • Education | Learning OutcomesShow submenu
        • Student Engagement | BehaviourShow submenu
      • Learning Support & WellbeingShow submenu
      • WorkforceShow submenu
      • Parents & WhānauShow submenu
      • School Networks | SystemShow submenu
      • CurriculumShow submenu
      • Digital TechnologyShow submenu
      • Large Scale International StudiesShow submenu
    • PacificShow submenu
    • Tertiary EducationShow submenu
      • COVID-19Show submenu
      • LearnersShow submenu
      • Beyond StudyShow submenu
        • DestinationsShow submenu
          • The mobility patterns of New Zealand's doctoral graduatesShow submenu
        • EmploymentShow submenu
        • Income & EarningsShow submenu
        • Other Economic OutcomesShow submenu
        • Social OutcomesShow submenu
      • MonitoringShow submenu
      • Literacy & NumeracyShow submenu
      • Research Performance/FundingShow submenu
      • SystemShow submenu
      • Annual ReportsShow submenu
      • Occasional PapersShow submenu
      • NZ University RankingsShow submenu
      • e-learningShow submenu
    • Learning SupportShow submenu
    • InternationalShow submenu
    • Publication SeriesShow submenu
  • Statistics Show submenu
    • Action Plan for Pacific Education measurement framework dataShow submenu
    • Annual monitoring reading recoveryShow submenu
    • Apprenticeship boostShow submenu
    • Attainment of 18-year-oldsShow submenu
    • AttendanceShow submenu
    • Beyond studyShow submenu
    • Daily attendance dashboardShow submenu
    • ECE financesShow submenu
    • ECE servicesShow submenu
    • ECE staffingShow submenu
    • Early learning participationShow submenu
    • Early leaving exemptionsShow submenu
    • Entering & leaving teachingShow submenu
    • Financial resourcingShow submenu
    • Financial support for tertiary studentsShow submenu
    • First Year Fees Free tertiary educationShow submenu
    • Funding to schoolsShow submenu
    • HomeschoolingShow submenu
    • StaffingShow submenu
      • How does New Zealand’s tertiary education staffing compare internationally?Show submenu
    • Initial teacher education statisticsShow submenu
    • International students in NZShow submenu
    • Language use in ECEShow submenu
    • Micro-credentials & training schemesShow submenu
    • Māori language in schoolingShow submenu
    • NZ's workplace-based learnersShow submenu
    • National school roll projectionsShow submenu
    • Number of schoolsShow submenu
    • Ongoing resourcing schemeShow submenu
    • Pacific language in schoolingShow submenu
    • Per student funding for schoolsShow submenu
    • School board representationShow submenu
    • School boardsShow submenu
    • School donationsShow submenu
    • School leaver pathwaysShow submenu
    • School leaver's attainmentShow submenu
    • School rollsShow submenu
    • School subject enrolmentShow submenu
    • Stand-downs, suspensions, exclusions & expulsionsShow submenu
    • Teacher numbersShow submenu
      • 2021Show submenu
      • 2020Show submenu
    • Teacher turnoverShow submenu
    • Tertiary achievement & attainmentShow submenu
    • Tertiary enrolments in language courses, including Te Reo Māori coursesShow submenu
    • Tertiary participationShow submenu
    • Tertiary population dataShow submenu
    • Tertiary researchShow submenu
    • Tertiary summary tablesShow submenu
    • Pathways from Year 11Show submenu
    • Transient studentsShow submenu
    • Traumatic incidentsShow submenu
    • University rankings fact sheetsShow submenu
    • Vocational education & trainingShow submenu
  • Topics Show submenu
    • He Whakaaro: Education InsightsShow submenu
  • Data Services Show submenu

Site information

  • Site map
  • Contact us
  • About this site
  • Glossary
  • Copyright, Legal & Privacy
  • Links
  • © Education Counts 2026
  • Ministry of Education logo.
  • New Zealand Government logo.
Scroll to top of page