Free Practice Questions for NCEA L1 Maths
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Key Facts: NCEA L1 Maths Exam
4 standards
Level 1 Mathematics and Statistics has four 5-credit achievement standards (91944 to 91947)
NZQA - Mathematics and Statistics
2 internal, 2 external
91944 and 91945 are internal; 91946 and 91947 are external examinations
NZQA - Search Standards and Assessment
Refreshed 2024
New Level 1 achievement standards were introduced in 2024 under the NCEA Change Programme
NCEA Education
10 credits
The Numeracy co-requisite (unit standard 32406) is worth 10 credits
NZQA - Unit standard 32406
20 credits
Students need a 20-credit literacy and numeracy co-requisite for any NCEA level
NZQA - Literacy and Numeracy
60 credits
NCEA Level 1 requires 60 credits at Level 1 plus the co-requisite
NZQA - How to achieve NCEA
Multiple choice
The external Numeracy assessment is a digital, mostly multiple-choice Common Assessment Activity
NZQA - Literacy and Numeracy assessments
100
Free original practice questions here
OpenExamPrep
NCEA Level 1 Mathematics and Statistics is New Zealand's Year 11 maths qualification, assessed through four refreshed 5-credit achievement standards introduced in 2024: 91944 and 91945 internally and 91946 and 91947 in external examinations. Students must separately meet the 20-credit literacy and numeracy co-requisite, including the Numeracy assessment (unit standard 32406, 10 credits), an external digital multiple-choice Common Assessment Activity marked by NZQA. Standards are graded Not Achieved, Achieved, Merit or Excellence, and NCEA Level 1 needs 60 Level 1 credits plus the co-requisite. The core content is number, algebra, measurement and geometry, statistics and probability. This 100-question bank gives original Year 11-level practice across those strands.
Sample NCEA L1 Maths Practice Questions
Try these sample questions to review concepts for the NCEA L1 Maths exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Evaluate: 6 + 4 × 3 − 2.
2A jumper costs $80 and is reduced by 25% in a sale. What is the sale price?
3What is 3/4 written as a decimal?
4A recipe for 4 people needs 600 g of flour. How much flour is needed for 6 people?
5Two friends share $45 in the ratio 2 : 3. How much does the person with the larger share receive?
6Calculate −7 − (−4).
7A shop adds 15% GST to a pre-tax price of $40. What is the price including GST?
8Which of these is largest: 0.6, 5/8, 0.58, 3/5?
9A 500 g block of cheese costs $7.50. What is the cost per 100 g?
10A car uses 8 litres of petrol per 100 km. How much petrol is needed to drive 250 km?
About the NCEA L1 Maths Exam
NCEA Level 1 Mathematics and Statistics is the Year 11 mathematics qualification in New Zealand, assessed through four refreshed achievement standards introduced in 2024, each worth 5 credits. Two standards are internally assessed during the year (91944 statistical enquiry and 91945 mathematical methods in an Aotearoa or Pacific context) and two are externally examined at the end of the year (91946 interpreting and applying mathematical and statistical information, and 91947 demonstrating mathematical reasoning). Alongside the subject, every NCEA student must meet a separate 20-credit literacy and numeracy co-requisite, which includes a Numeracy assessment (unit standard 32406, 10 credits) delivered as an external, mostly multiple-choice digital Common Assessment Activity set and marked by NZQA. The core content spans number, algebra, measurement and geometry, statistics and probability, blending straightforward numeracy with multi-step problem solving set in real New Zealand contexts.
Exam sponsor: New Zealand Qualifications Authority (NZQA). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Assessment
Four 5-credit achievement standards: 91944 Explore data using a statistical enquiry process (internal), 91945 Use mathematical methods to explore problems relating to life in Aotearoa New Zealand or the Pacific (internal), 91946 Interpret and apply mathematical and statistical information in context (external), and 91947 Demonstrate mathematical reasoning (external). The separate Numeracy co-requisite (unit standard 32406, 10 credits) is an external digital multiple-choice Common Assessment Activity.
Time Limit
Each external Mathematics and Statistics examination (91946 and 91947) runs about 2 hours. The digital Numeracy Common Assessment Activity is usually completed within about 60 to 70 minutes.
Passing Score
Achievement standards are graded Not Achieved, Achieved, Merit or Excellence; there is no single fixed pass percentage. The Numeracy co-requisite is graded Achieved or Not Achieved. NCEA Level 1 requires 60 credits at Level 1 plus the 20-credit literacy and numeracy co-requisite.
Exam / Certification Fees
There is no fee for domestic school students to sit NCEA externals or the Numeracy Common Assessment Activity; private and international candidates may pay NZQA entry fees set each year.
Exam sponsor websiteFees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.
Our practice resources: topics covered
We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.
Number
Integers and order of operations, fractions, decimals and percentages, percentage change, rates, ratios and proportional reasoning, money and best-buy problems set in everyday New Zealand contexts. Mixes single-step numeracy items with multi-step problems.
Algebra
Expanding and factorising expressions, solving linear equations and inequalities, substitution into and rearranging formulae, recognising and continuing patterns and linear relationships, and solving simple quadratic equations.
Measurement and Geometry
Perimeter, area and volume of common shapes, Pythagoras' theorem, angle rules, units and unit conversions, scale and maps, and basic coordinate geometry including gradient and distance.
Statistics
The statistical enquiry cycle, choosing and reading data displays, and calculating and comparing the mean, median, mode and range to describe and compare data sets.
Probability
Theoretical and experimental probability, expected number of outcomes, two-way tables and tree diagrams for one-stage and two-stage situations.
Preparing for the NCEA L1 Maths Exam
What You Need to Know
- Passing score: Achievement standards are graded Not Achieved, Achieved, Merit or Excellence; there is no single fixed pass percentage. The Numeracy co-requisite is graded Achieved or Not Achieved. NCEA Level 1 requires 60 credits at Level 1 plus the 20-credit literacy and numeracy co-requisite.
- Assessment: Four 5-credit achievement standards: 91944 Explore data using a statistical enquiry process (internal), 91945 Use mathematical methods to explore problems relating to life in Aotearoa New Zealand or the Pacific (internal), 91946 Interpret and apply mathematical and statistical information in context (external), and 91947 Demonstrate mathematical reasoning (external). The separate Numeracy co-requisite (unit standard 32406, 10 credits) is an external digital multiple-choice Common Assessment Activity.
- Time limit: Each external Mathematics and Statistics examination (91946 and 91947) runs about 2 hours. The digital Numeracy Common Assessment Activity is usually completed within about 60 to 70 minutes.
- Exam / certification fees: There is no fee for domestic school students to sit NCEA externals or the Numeracy Common Assessment Activity; private and international candidates may pay NZQA entry fees set each year. Official sources
Using Our Practice Resources
- Work through all 100 available questions
- Review every answer and explanation
- Track weak areas and revisit them
- Use our AI tutor for tough concepts
NCEA L1 Maths: Suggested Study Strategy
Frequently Asked Questions
How is NCEA Level 1 Mathematics and Statistics assessed?
Through four 5-credit achievement standards. 91944 and 91945 are internally assessed during the year, while 91946 and 91947 are sat in end-of-year external examinations. Each standard is graded Not Achieved, Achieved, Merit or Excellence.
What is the Numeracy co-requisite and how does it relate to maths?
The Numeracy co-requisite (unit standard 32406, 10 credits) is a separate external digital assessment, mostly multiple choice, set and marked by NZQA. Together with the two literacy assessments it forms the 20-credit literacy and numeracy co-requisite every NCEA student must meet.
How many credits do I need for NCEA Level 1?
You need 60 credits at Level 1 plus the 20-credit literacy and numeracy (or te reo matatini and te pāngarau) co-requisite. The co-requisite only needs to be met once and then counts for every NCEA level.
Can I use a calculator?
Yes. A calculator is allowed in the external Mathematics and Statistics examinations and in the Numeracy Common Assessment Activity. It must be a standard non-graphing, non-communicating calculator following NZQA rules.
Did the standards change recently?
Yes. Refreshed Level 1 Mathematics and Statistics achievement standards were introduced in 2024 as part of the NCEA Change Programme, replacing the older Level 1 standards with four broader 5-credit standards.
Are these official NZQA questions?
No. These are original OpenExamPrep practice questions modelled on NCEA Level 1 content. NZQA provides official past examination papers, exemplars and Numeracy practice activities separately on its website.