Class 8 Maths Half-Yearly Sample Question Paper 2026–27
Preparing for the Class 8 Maths Half-Yearly Examination 2026–27? This Class 8 Maths Half-Yearly Sample Question Paper is a useful practice resource for students who want to revise important concepts and improve their exam preparation.
Based on NCERT Ganita Prakash Part 1, this sample question paper includes Assertion and Reason questions, MCQs, Very Short Answer Questions, Long Answer and Application-Based Questions, Case Study and Competency-Based Questions, and Super HOTS.
Students can use this Class 8 Mathematics Sample Paper for revision, homework, classroom practice and self-assessment before the exam.
CLASS VIII – MATHEMATICS
HALF-YEARLY EXAMINATION 2026–27
NCERT – GANITA PRAKASH PART 1
General Instructions
- All questions are compulsory unless an internal choice is given.
- Show all necessary steps and mathematical reasoning.
- Calculators are not permitted.
- Draw neat and labelled figures wherever required.
- Read each question carefully.
- Marks are indicated against each question.
- For Assertion–Reason questions, select the correct option from the four choices given.
A Assertion & Reason
Reason (R): 1728 = 12³.
Reason (R): When powers with the same non-zero base are divided, their exponents are subtracted.
Reason (R): Numbers can be represented using combinations of 2 and 1.
Reason (R): Its place values involve successive powers of 60.
Reason (R): A square has four right angles, which is one of the defining properties of a rectangle.
Reason (R): 6 = 2 × 3 and 2 and 3 are relatively prime.
Reason (R): 98 × 25 = (100 − 2) × 25.
Reason (R): In direct proportion, both quantities increase or decrease in the same ratio.
B Multiple Choice Questions
C Very Short Answer Questions
a) 5 b) 6
a) 94 b) 149
a) Identify its base.
b) Write the next landmark number.
a) 2 b) 3 c) 9
Give reasons.
D Long Answer / Application
a) Show that 1,296 is a perfect square.
b) How many tiles will be placed in each row if they are arranged as a square?
c) Find the next perfect square after 1,296.
d) How many additional tiles are required to make the next perfect square?
a) Express 4 as a power of 2.
b) Express 8 as a power of 2.
c) Apply the laws of exponents.
d) Express the final answer as a single power of 2.
System A: Counts mainly in groups of 2 and has number names based on combinations of 2 and 1.
System B: Uses symbols associated with powers of 10.
System C: Uses base 60 and place value.
System D: Uses dots, bars and a shell-like symbol and is associated with an almost base-20 system.
System E: Uses rods arranged vertically and horizontally to indicate place value.
System F: Uses ten digits, including 0, in a decimal place-value system.
Answer the following:
a) Identify Systems A, B and C.
b) Identify Systems D and E.
c) Identify System F.
d) Which of these systems is our modern decimal place-value system?
a) Find x.
b) Find all four angles.
c) Explain why ∠A + ∠B = 180°.
d) Verify that the sum of the four angles is 360°.
E Case Study / Competency-Based
a) What is meant by one-to-one correspondence in counting?
b) How does grouping make counting large collections easier?
c) What is a base-n number system?
d) Explain how place value and zero make the Hindu number system efficient.
a) Find the distance travelled per litre.
b) How far will the car travel using 20 litres?
c) How much petrol will be required to travel 450 km?
d) Explain why distance travelled and petrol used are directly proportional under the given conditions.
F Super HOTS
a) Identify the base.
b) Write the next two landmark numbers.
c) Express 90 in this base system.
d) Write the corresponding place values.
e) How is this system different from the decimal system?
f) State one advantage of a place-value system.
The side of the square is 12 cm and the length of the rectangle is 16 cm.
a) Find the perimeter of the square.
b) Find the breadth of the rectangle.
c) Find the area of the square.
d) Find the area of the rectangle.
e) Which figure has the greater area?
f) Find the difference between their areas.
📚 Follow The Busy Brains
For more Class 4 to Class 8 sample papers, Maths, Science, SST, English practice papers, worksheets and exam preparation videos, subscribe to The Busy Brains.
▶ SUBSCRIBE ON YOUTUBE