Class 8 Mathematics Fully Solved Model Paper Annual Exam 2026 PDF – PECTAA Board 2027
Grade 8 Math Solved Model Paper Annual 2026
Prepare for your exams with the Class 8 Mathematics Fully Solved Model Paper Annual Exam 2026, designed according to the latest syllabus issued by PECTAA Punjab. This solved mathematics paper provides students with a valuable opportunity to practise important questions, understand problem-solving methods, and revise key mathematical concepts before their annual examinations. As part of the PECTAA Board 2027 Model Papers series, it is a helpful resource for Grade 8 students looking for a Class 8 Maths solved paper, mathematics model paper PDF, and annual examination preparation material. Students can use this paper for self-assessment, revision, and improving their confidence in mathematics.
PUNJAB EDUCATION, CURRICULUM,
TRAINING & ASSESSMENT AUTHORITY
EXAMINATION 2026, GRADE – 8
MATHEMATICS PART – A (OBJECTIVE TYPE)
Paper
Part – A: 40 Marks, Part – B: 60 Marks, Total: 100 Marks
Total Marks MCQs:
Signature of Assistant:
Signature of Head Examiner:
Question No 1: Multiple Choice Questions (MCQs).
1. Identify the irrational number.
2. Identify the non-terminating fraction.
3. The absolute value of (-31) is:
4. The multiplicative inverse of 57 is:
5. By rounding off the number 31.4269 upto two decimal places, we get:
6. The number of significant figures in 25005 are:
7. Identify the equal sets:
8. The set A = {2,3,5,7,……,17} in set builder notation is:
9. The number of subsets of the set A = {a,b,c} will be:
10. If A = {3,6}, then the power set P(A) will be:
11. If U = {a,b,c,……,g} and A = {a,b,c} then Ac will be:
12. According to commutative law of union, A∪B is equal to:
13. The value of x in the proportion 6 : x :: 12 : 16 is:
14. The given table shows the number of boxes and their price. The price of 24 boxes will be:
| Number of boxes | x | 6 | 12 | 12 | 24 |
|---|---|---|---|---|---|
| price | y | 150 | 300 | 450 | ? |
15. 4 workers take 12 days to complete a wall. How many days would 8 workers take?
16. The price of a ball is Rs.100. If it is sold for Rs.64 then the discount percentage will be:
17. Ali wants to exchange 29520 Pakistani rupees to UK Pound. How many UK Pound will he receive? (1 UK Pound = Rs.360)
18. The next term of pattern 5,10,15,20,______ will be:
19. If an =7n + 7 then the value of a2 will be:
20. The formula to calculate the 8th term of an arithmetic sequence is:
21. The 5th term of the geometric sequence 160,80,40,20,…… is:
22. The solution of (4x – 5y)-(4x + 5y) is:
23. The solution of (30x2) ÷ (-15x) is:
24. The solution of (3xy) x (2x) is:
25. The scientific notation of number 0.000029 is:
26. The factorization of 25x2 – 49y2 is:
27. The exponent of 2a6 is:
28. If the radius of a sphere is 10cm, then its surface area will be:
29. If the radius of a sphere is 3cm, then its volume will be:
30. Identify the measure of an angle of minor arc.
31. In the given figure, line segment DE represents:
32. The value of x in the given figure is:
33. If the length of base and perpendicular height of a square pyramid is 12cm and 6cm respectively, its volume will be:
34. Identify the similar figures.
35. The angle bisector of 90° will be:
36. A rectangle ABCD is enlarged about O to make a rectangle A′B′C′D′. If OA = 6 and OA′ = 3 then scale factor is:
37. The example of discrete data is:
38. The mode of the data 5, 7, 8, 6, 7, 2, 10 is:
39. A student scored marks in four papers are 40, 56, 72, 80. The mean of his marks is:
40. The median of the data 52, 43, 57, 47, 51 is:
مندرجہ ذیل مختصر سوالات میں سے کوئی سے دس سوالات حل کریں۔ Question No. 41: Attempt any ten short questions from the following.
1. Find the square root of 103041.
2. If the volume of a cube shape is 3375cm3, then what is the measure of the edge of the cube?
3. If A = {5, 10, 15, 20} and B = {3, 5, 7, 9}, then find the value of B – A.
4. If A = {9, 10, 11, 12} and B = {8, 9, 10, 11}, then verify A∩B = B∩A.
5. A car covers the distance of 22km in 16 minutes. Find its distance covered in 32 minutes.
6. The cost price of a bike is Rs.480,000 and selling price is Rs.360,000. Find the loss percentage.
7. The general term of a geometric sequence is an = 3n. Find 1st, 3rd and 5th terms of the sequence.
8. Find the general term of the arithmetic sequence 500, 1000, 1500, 2000, ….., ….., …….
9. Add 13y4+3y2-10 and y3+4y2-5y-3.
10. Factorize the algebraic expression x2 – 14xy + 49y2.
11. The radius of a circle is 4cm and its central angle is 600. Find the length of the arc.
12. The radius of a sphere is 10cm. Find its surface area.
13. A triangle with vertices P(-2,-3), Q(7,1) and R(2,-3) rotated 1800 about the origin and landed on the triangle P′Q′R′. Find coordinates of P′, Q′ and R′.
14. Calculate the range of given data 24,36,52,70,82,96.
15. If D = X – 50, ∑D = 10 and n =5, then find the value of Mean.
☆ Attempt Any Three long questions from the following. مندرجہ ذیل انشائیہ سوالات میں سے کوئی بھی تین سوالات حل کریں۔
42. (a) Ayesha buys 1235 metres of cloth while Sana buys 23 times the length of Ayesha’s cloth. Find the difference between the lengths of both clothes. (5)
(b) Find an approximation error of 61.43+32.89536 – 487 .
43. (a) If U = {1, 2, 3, ……., 10}, A = {2, 4, ,6 ,8} and B = {3,6,9}, then verify (A∩B)c = Ac∪Bc.
Ac = {1,3,5,7,9,10}, Bc = {1,2,4,5,7,8,10}; Ac∪Bc = {1,2,3,4,5,7,8,9,10}. L.H.S = R.H.S ✔
(b) The marked price of a toy is Rs.20,000 and the selling price is Rs.15,000. Find the percentage discount.
44. (a) If A = {1,2,6,7,9}, B = {2,5,7,10} and C = {7,8,9,10}, then verify A∩(B∪C) = (A∪B)∪(A∩C)
A∩B = {2,7}, A∩C = {7,9}; (A∩B)∪(A∩C) = {2,7,9}. Both sides equal ✔ (the paper prints ∪ in the first bracket of R.H.S.; the identity verified is the distributive law A∩(B∪C) = (A∩B)∪(A∩C))
(b) The radius of a spherical tank is 3m. How many litres of water can it contain? (π =3.14)
45. (a) Find the general term and 7th term of the arithmetic sequence 3,9,15,21,………
(b) If x – 1x = 6, then find the value of x3 – 1x3 .
46. (a) Construct a right triangle, when hypotenuse = 6cm and base = 3cm.
(b) The score of 150 students in an exam are given in the table. Calculate the median of the given data.
| Score | 11 – 26 | 27 – 42 | 43 – 58 | 59 – 74 | 75 – 90 |
|---|---|---|---|---|---|
| Students (f) | 20 | 35 | 30 | 45 | 20 |
Median = l + n/2 − c.f.f × h = 42.5 + 75 − 5530 × 16 = 53.17
