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Free Practice Questions for PNG Grade 8 Mathematics

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Sample PNG Grade 8 Mathematics Practice Questions

Try these sample questions to review concepts for the PNG Grade 8 Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 97+ question experience with AI tutoring.

1A coffee cooperative in Goroka harvested 34,580 kg of coffee beans in 2025 and 48,760 kg in 2026. What was the total mass of coffee beans harvested over the two years?
A.83,340 kg
B.82,340 kg
C.83,240 kg
D.84,340 kg
Explanation: Add the two quantities together: 34,580 kg + 48,760 kg. Adding column by column from the right: 0 + 0 = 0, 8 + 6 = 14 (write 4, carry 1), 5 + 7 + 1 = 13 (write 3, carry 1), 4 + 8 + 1 = 13 (write 3, carry 1), 3 + 4 + 1 = 8. The total mass is 83,340 kg.
2What is the value of the numerical expression: 24 - 4 × 3 + 16 ÷ 2?
A.38
B.20
C.4
D.14
Explanation: Apply the order of operations (BODMAS/BIDMAS). Perform multiplication and division first from left to right: 4 × 3 = 12 and 16 ÷ 2 = 8. Then perform addition and subtraction from left to right: 24 - 12 + 8 = 12 + 8 = 20.
3Simplify the fraction addition: 2/5 + 1/3.
A.3/8
B.11/15
C.1/5
D.7/15
Explanation: Find the lowest common denominator (LCD) for 5 and 3, which is 15. Convert each fraction: 2/5 = (2 × 3)/15 = 6/15, and 1/3 = (1 × 5)/15 = 5/15. Add the numerators over the common denominator: 6/15 + 5/15 = 11/15.
4Evaluate: 4 1/4 - 1 2/3.
A.2 7/12
B.3 5/12
C.2 5/12
D.3 1/12
Explanation: Convert both mixed numbers to improper fractions: 4 1/4 = 17/4 and 1 2/3 = 5/3. The LCD is 12. Converting to equivalent fractions: 17/4 = 51/12 and 5/3 = 20/12. Subtract the numerators: 51/12 - 20/12 = 31/12 = 2 7/12.
5What is the product of 2 1/2 and 3/5 in simplest form?
A.1 1/2
B.2 3/10
C.1 1/5
D.3/5
Explanation: First convert the mixed number to an improper fraction: 2 1/2 = 5/2. Next multiply the fractions: (5/2) × (3/5) = (5 × 3)/(2 × 5) = 15/10. Divide the numerator and denominator by their greatest common factor, 5, to get 3/2, which simplifies to 1 1/2.
6Work out: 3/4 ÷ 5/8. Give your answer as a mixed number in simplest form.
A.15/32
B.1 1/5
C.5/6
D.1 1/4
Explanation: To divide by a fraction, multiply by its reciprocal: (3/4) ÷ (5/8) = (3/4) × (8/5). Multiply the numerators and denominators: (3 × 8)/(4 × 5) = 24/20. Simplify by dividing by 4: 6/5 = 1 1/5.
7At a service station in Lae, petrol costs K4.25 per litre. If a PMV driver purchases 16 litres, what is the total cost?
A.K64.25
B.K68.00
C.K680.00
D.K72.00
Explanation: Multiply the price per litre by the number of litres: K4.25 × 16. We can compute 4 × 16 = 64 and 0.25 × 16 = 4. Adding these gives 64 + 4 = K68.00.
8Calculate the quotient: 14.4 ÷ 0.12.
A.1.2
B.12
C.120
D.1200
Explanation: Multiply both the dividend and divisor by 100 to make the divisor a whole number: (14.4 × 100) ÷ (0.12 × 100) = 1440 ÷ 12. Dividing 1440 by 12 yields 120.
9Out of 350 Grade 8 candidates at a school in Madang, 40% received a Certificate of Merit. How many candidates received a Certificate of Merit?
A.140
B.14
C.210
D.310
Explanation: Convert the percentage to a fraction or decimal: 40% = 40/100 = 0.40. Multiply by the total number of candidates: 0.40 × 350 = 140 candidates.
10The price of a 10 kg bag of rice increased from K80 to K96. What was the percentage increase in price?
A.16%
B.20%
C.16.7%
D.25%
Explanation: Find the absolute increase: K96 - K80 = K16. Then divide the increase by the original price and multiply by 100%: (16 / 80) × 100% = (1 / 5) × 100% = 20%.

About the PNG Grade 8 Mathematics Exam

Independent English-language MCQ practice for PNG Grade 8 Mathematics. Number operations, measurement, geometry, chance and data, and introductory algebra. These are editorial practice groupings rather than verified examination mark allocations. This is independent English-language MCQ study practice. It is not an official translation, format simulation, or substitute for writing, speaking, practical, or performance assessment. Passages, resource-booklet extracts, datasets, and policy scenarios written for these exercises are illustrative unless a named primary source is identified. They are not the actual 2026 paper or resource booklet.

Exam sponsor: Department of Education, Measurement Services Division (MSD). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written Mathematics national examination. Current question count, duration, and calculator rules were not verified. Show mathematical working and follow the current school and examination instructions. No separate mandatory national oral, practical, or case-study component was verified; this does not remove school assessment requirements.

Time Limit

2026 per-paper duration not verified; confirm current instructions

Passing Score

No universal 2026 pass mark verified; confirm current certification and selection requirements

Exam / Certification Fees

Official fee not verified; confirm with your school or MSD

Exam sponsor website

Fees, 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.

20 study questions; official weight not verified

Number And Operations

Selected independent practice in number and operations. These are editorial study groupings, not official blueprint allocations.

20 study questions; official weight not verified

Measurement

Selected independent practice in measurement. These are editorial study groupings, not official blueprint allocations.

18 study questions; official weight not verified

Space And Geometry

Selected independent practice in space and geometry. These are editorial study groupings, not official blueprint allocations.

20 study questions; official weight not verified

Chance And Data

Selected independent practice in chance and data. These are editorial study groupings, not official blueprint allocations.

19 study questions; official weight not verified

Patterns And Algebra

Selected independent practice in patterns and algebra. These are editorial study groupings, not official blueprint allocations.

Preparing for the PNG Grade 8 Mathematics Exam

What You Need to Know

  • Passing score: No universal 2026 pass mark verified; confirm current certification and selection requirements
  • Assessment: Written Mathematics national examination. Current question count, duration, and calculator rules were not verified. Show mathematical working and follow the current school and examination instructions. No separate mandatory national oral, practical, or case-study component was verified; this does not remove school assessment requirements.
  • Time limit: 2026 per-paper duration not verified; confirm current instructions
  • Exam / certification fees: Official fee not verified; confirm with your school or MSD Official sources

Using Our Practice Resources

  • Work through all 97 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

PNG Grade 8 Mathematics: Suggested Study Strategy

1Work calculations on paper before selecting an answer.
2Check units, fraction operations, and whether an answer is reasonable.
3Confirm current calculator rules from the examination instructions.

Frequently Asked Questions

When is the 2026 assessment scheduled?

The Department’s 2026 calendar lists 19–22 October 2026 for this assessment or its grade-level examination window. Follow your school’s subject timetable.

What is the official assessment format?

Written Mathematics national examination. Current question count, duration, and calculator rules were not verified.

What language and eligibility information was verified?

Official curriculum resources are published in English, but a current examination-specific response-language policy was not verified. Confirm permitted response languages with your school or MSD. This practice bank uses English. This is a Grade 8 school assessment administered through nominated candidates and registered subject choices, rather than an unrestricted public certification test. Confirm nomination, schoolwork, and any FODE pathway requirements with the school or provider.

What other assessment work is required?

Show mathematical working and follow the current school and examination instructions. No separate mandatory national oral, practical, or case-study component was verified; this does not remove school assessment requirements.

What are the fee, duration, question count, and pass mark?

A current official per-paper fee, duration, item count, and universal pass mark were not verified as of 7 October 2026. Confirm them with your school or MSD; tuition-subsidy policy alone does not establish a zero examination fee.

How should this English-language MCQ bank be used?

This is independent English-language MCQ study practice. It is not an official translation, format simulation, or substitute for writing, speaking, practical, or performance assessment. Passages, resource-booklet extracts, datasets, and policy scenarios written for these exercises are illustrative unless a named primary source is identified. They are not the actual 2026 paper or resource booklet.