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120 solved questions · 2018–2026

LAT Mathematics questions — solved

Basic arithmetic, percentages, ratios and problem-solving tricks — no calculator needed.

Mathematics preparation guide

Memory-based reconstructions, not official HEC papers. HEC does not publish official LAT past papers. These are compiled from student recall right after each test, then solved and verified by our team — the best practice material available, but not official HEC documents.

In short

We have collected 120 Mathematics questions from LAT papers held between 2018 and 2026 — all solved, all free. Basic arithmetic, percentages, ratios and problem-solving tricks — no calculator needed. Work through them below, then test yourself in practice mode.

A note on coverage: our source archive captured Mathematics sections in 26 of 31 papers — some sessions are missing this section in the source data, so this page reflects what was recoverable.

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2026 2025 2024 2023 2022 2021 2020 2019

Mathematics questions — 2026 (13)

  1. 1.
    Find the value of x: 2x + 7 = -9x - 4 — -1 General
  2. 2.
    If Object A is moving at a speed of 150 m/s, and Object B is running at 20% of Object A's speed, what is the speed of Object B? — 30 m/s General
  3. 3.
    If a car is moving toward a bus at 120 km/h and the bus is moving at 90 km/h (in the same direction to overtake), how much time will it take for the car to overtake the bus if the distance between them is 210 km? — 7 hours General
  4. 4.
    If (2a - 7b, 5b) — (-10a, 3 + b), find the values of a and b. (a = 7/16, b = 3/4) General
  5. 5.
    In the proportion 5 — 5 :: 6 : X, find the value of X. (6) General
  6. 6.
    If one angle of a triangle is 50° and the second angle is 40°, what is the third angle? — 90° General
  7. 7.
    Simplify the expression (-2 - 3i). — -2 - 3i General
  8. 8.
    What are the factors of x² - 5? — ((x - √5) (x + √5)) General
  9. 9.
    If $x+3/2=2$, find the value of $3x^{2}+27/x^{2}$ — 30 General
  10. 10.
    School A and B start at 8:00 AM, and the bells ring at the same time. School A has a lecture duration of 32 minutes, and School B has 40 minutes. At what time will the bells ring together again? — 10:40 AM General
  11. 11.
    What is the area of a rectangle if the length is 4 and the width is 3? — 12 General
  12. 12.
    There was food for 28 children for 20 days. After 8 days, 4 children left the camp. For how many days will the remaining food last for the remaining children? — 14 days General
  13. 13.
    What is the median of the values 1, 2, 3, 4, 5, 6, 2, 1, 7? — 3 General

Mathematics questions — 2025 (22)

  1. 1.
    If a person purchases a pen for 300 and sells it at a 2% profit, what is the selling price of the pen? — 306 General
  2. 2.
    Solve for x: 2x + 7 = -9x - 4. — x = -1 General
  3. 3.
    What is the relative speed when A is moving at 120 towards B and B is moving at 50 away from A? — 70 General
  4. 4.
    What is the selling price if the buying price is 750 and the profit is 10%? — 825 General
  5. 5.
    If one side of a square is 7 units, what is the area of the square? — 49 square units General
  6. 6.
    If a car moves with 75 km per hour speed, how much time does it take to cover 25 km? — 20 minutes General
  7. 7.
    The total sum of angles in a quadrilateral is 360°. If three angles sum to 200°, find the fourth. — 160° General
  8. 8.
    The average of 2 numbers is 49. If one number is 50, then the other number is — 48 General
  9. 9.
    Ahmed has pens which cost 300 rupees. He got a profit of 2%, then the amount paid to him was — 306 General
  10. 10.
    Find the value of x if 5 - x = 25 — -20 General
  11. 11.
    A car moves with the speed of 75 Km/hr, then the distance of 25 Km is covered in how many minutes? — 20 minutes General
  12. 12.
    Two sides of a quadrilateral have the angle of 200°, then what is the sum of the angles of the other two sides? — 160° General
  13. 13.
    Calculate the average of 14.5, 15.5, and 16.5. — 15.5 General
  14. 14.
    If a person travels 70 km/h, how much time is required for 14 km? — 12 minutes General
  15. 15.
    If a book costs Rs. 500 and is sold at a 3% loss, what is the selling price? — Rs. 485 General
  16. 16.
    Solve: x ÷ 12 = -3 — -36 General
  17. 17.
    If one angle is 90° and the second is 30°, what is the third angle of the triangle? — 60° General
  18. 18.
    Solve for x: 3x - 5 = 10 — 5 General
  19. 19.
    What is 15% of 200? — 30 General
  20. 20.
    If the price of a book is Rs. 400 and it is sold for Rs. 440, what is the profit percentage? — 10% General
  21. 21.
    Calculate the average of 10, 20, 30, 40, 50. — 30 General
  22. 22.
    A train travels 100 km in 2 hours. What is its speed? — 50 km/h General

Mathematics questions — 2024 (18)

  1. 1.
    Car A is moving with a speed of 60 km/hr... (Numerical Problem) — 200 km General
  2. 2.
    There is a 10% increase in length and 10% increase in width of a rectangle. What is the % change in area? — 21% General
  3. 3.
    Solution of equation... — 2 General
  4. 4.
    (Incomplete Statement) — 1000 General
  5. 5.
    If 10 clothes are dried up together in 5 hours, in how many hours can 20 clothes be dried up together? — 5 hours General
  6. 6.
    Athar left home for the bus stop 15 minutes earlier than usual. It takes 10 minutes to reach the bus stop. He reached the stop at 8:40 AM. What time does he usually leave home? — 8:45 AM General
  7. 7.
    A car travels 120 km in 2 hours. What is its speed in km/h? — 60 km/h General
  8. 8.
    What is 20% of 500? — 100 General
  9. 9.
    Simplify: 4 + 4 / 2 * 3 - 1 — 9 General
  10. 10.
    If a person purchases a pen for 300 and sells it at a 2% profit, what is the selling price of the pen? — 306 General
  11. 11.
    If the average of two numbers is 49, one number is 50, the other is? — 48 General
  12. 12.
    Solve for x: 5 – x = 25. — -20 General
  13. 13.
    On the first day, a carpenter completed 3/8 of a work and on the second day, he completed an additional 1/4 work. What fraction of the work is left undone? — 3/8 General
  14. 14.
    We have 60 students playing football and 55 playing cricket. If 5 students aren't playing any games, that means 95 students are playing at least one game. Find the number of students playing both games? — 20 General
  15. 15.
    (Explanation — Total = 100 assumed or derived from set theory context. If Total=115 (60+55), overlap is required. Using formula n(AUB) = n(A) + n(B) - n(AnB). If 95 play at least one, and 60+55=115, then 115-95 = 20 overlap). General
  16. 16.
    If Tank is full with Pipe A in 15 minutes and empty from Pipe B and C in 40 minutes and 45 minutes respectively, how much time will it take to fill the tank if all pipes are open while the tank is 2/9 full? — 40 minutes General
  17. 17.
    What is the solution to the equation 2X + 5 = 9? — X = 2 General
  18. 18.
    (Explanation — 2X = 9 - 5 -> 2X = 4 -> X = 2) General

Mathematics questions — 2023 (13)

  1. 1.
    What is the LCM of 36 and 60? — 180 General
  2. 2.
    What is the perimeter of a square with a side length of 6 feet? — 24 feet General
  3. 3.
    Simplify {2x + 3} + (6x - 3) - (3x - 5) — 5x + 5 General
  4. 4.
    Cost of one dozen eggs is Rs. 250. Cost of 30 eggs? — Rs. 625 General
  5. 5.
    Solve — 4³ + 2⁵ - 2⁷ = -32 General
  6. 6.
    Maximum sum of AP 20, 18, 16, 14...: 110 General
  7. 7.
    Solve — 28 - [36 - 2{5 + 7 - 6} ÷ 3] = -4 General
  8. 8.
    Angle between hands of a clock at 6 — 30: 15° General
  9. 9.
    If a person purchases a pen for 300 and sells it at a 2% profit, what is the selling price? — 306 General
  10. 10.
    If the average of two numbers is 49, one number is 50, the other is? — 48 General
  11. 11.
    Solve for x — 5 – x = 25. x = -20 General
  12. 12.
    On the first day, a carpenter completed 3/8 of a work and on the second day, he completed an additional 1/4 work. What fraction of the work is left undone? — 3/8 General
  13. 13.
    (Explanation — 3/8 + 1/4 = 3/8 + 2/8 = 5/8 completed. Remaining = 1 - 5/8 = 3/8) General

Mathematics questions — 2022 (15)

  1. 1.
    Amount of Zakat on 28,560? — 714 (Calculation: 28,560 × 2.5%) General
  2. 2.
    The Supplementary angle of 160 degrees is? — 20 degrees General
  3. 3.
    Simplify — 12a⁵ + 18a⁶? 6a⁵(2 + 3a) General
  4. 4.
    What is the set of natural numbers? N = {1, 2, 3, 4, ...} General
  5. 5.
    (Note — This question appeared within the Islamic Studies section in the original source but is a math question) General
  6. 6.
    Find the perimeter of a triangle with sides 6.5 cm, 7 cm, and 8 cm. 21.5 cm General
  7. 7.
    A car owner earns 30% profit on a sale of a car. If the cost of that car is Rs. 5,00,000 then the profit he will get is — 150,000 General
  8. 8.
    Find the supplement of 123° angles — 57° General
  9. 9.
    The area of a square having each side length 6 feet is — 36 ft² General
  10. 10.
    Anwar has Rs. 167000 in his bank account. The amount of Zakat he would have to pay after 1 year is — 4175 General
  11. 11.
    What is the external angle between the hands of a clock when it is 5 minutes to 4 O'Clock? — 147.5 degrees (or 212.5 reflex angle depending on interpretation) General
  12. 12.
    The salary of a man has increased by 20%. If he now gets Rs. 3000, his salary before the increase was — 2500 General
  13. 13.
    The diameter of a circle is 32 cm, and its circumference is — 100.5 cm General
  14. 14.
    Find the perimeter of a triangle whose lengths are 11.5 cm, 3.5 cm, and 7 cm. 22 cm General
  15. 15.
    Naveed has Rs. 80,000; calculate the amount of zakat at the rate of 2.5% at the end of a year. Rs. 2000 General

Mathematics questions — 2021 (10)

  1. 1.
    Find the number if 60% of x - 60 = 60 — 200 General
  2. 2.
    Railway compartments calculation (848160 / 53) — 16002 General
  3. 3.
    Angle equal to its complement — 45 degrees General
  4. 4.
    Rectangle breath (Area 2500, Length 50) — 50m General
  5. 5.
    Average of 2, 3, 7 — 4 General
  6. 6.
    A college in Lahore has 1156 Students. The college principal wants to arrange the students in a square. Find the number of students in the front row? — 34 General
  7. 7.
    Amjad has Rs. 12000 in his bank account. Amjad has given (3/4) of his amount to his brother. How many rupees Amjad has given to his brother? — 9000 General
  8. 8.
    A father wants to distribute Rs. 5,000,000 in his 2 sons, Waheed and Naveed, in a ratio of 2 — 3 respectively. How much money does Waheed Receive? 2,000,000 General
  9. 9.
    Find the value of B in the below-given equation — 12 | 100 | 30 | B? 25 General
  10. 10.
    Solve the following — (12a⁵ + 18a⁶) / 6a³ = 2a² + 3a³ General

Mathematics questions — 2020 (15)

  1. 1.
    Apples originally — 700 General
  2. 2.
    Number of hens — 27 General
  3. 3.
    Find number (x * x/3 = 192) — 24 General
  4. 4.
    Tank capacity — 40 liters General
  5. 5.
    Angle at 6 O'clock — 180 degree General
  6. 6.
    Speed of a car is 60km/hr. Distance covered in 1 hour and 15 minutes is? — 75 Km General
  7. 7.
    If one side of a square is 35m, then the area of the square is? — 1225 m² General
  8. 8.
    How many surfaces are there in a cube? — 6 General
  9. 9.
    If Sam's age is 27 years in 2019, then his age in 2009 was? — 17 General
  10. 10.
    What is 7% equal to? — 0.07 General
  11. 11.
    What is 40% of 700? — 280 General
  12. 12.
    The area of a square having each side length of 3 feet is? — 9 square feet General
  13. 13.
    Find the perimeter of the triangle which has 6.5 cm, 7 cm, and 8 cm sides. 21.5 cm General
  14. 14.
    Amount of Zakat on 28,560? — 714 (2.5% of 28,560) General
  15. 15.
    The supplementary angle of 160 degrees is? — 20 degrees General

Mathematics questions — 2019 (14)

  1. 1.
    25 x 0.75 — 0.9375 General
  2. 2.
    100 + 200 + 300 + 400 — 1000 General
  3. 3.
    15% of 400 — 60 General
  4. 4.
    Car travel distance calculation (80km/h for 1.5h + 2h) — 280 km General
  5. 5.
    35 x 0.75 — 26.25 General
  6. 6.
    (x+y)(2x+2y) — 2x² + 4xy + 2y² General
  7. 7.
    10³ + 10² — 1100 General
  8. 8.
    2/4 + 7/5 - 1/4 — 1.65 General
  9. 9.
    Boy's distance from starting point — 1 km General
  10. 10.
    3/4 - 1/4 + 2/4 + 4/8 — 1.5 General
  11. 11.
    Profit of 5% on 5,000,000 — 250,000 General
  12. 12.
    Girls in class of 60 (30% boys) — 42 General
  13. 13.
    If x/3 + 5x/3 + 12x - 4 = 0, then x is — 2/7 General
  14. 14.
    Simplify {2x+3}+(6x-3)-(3x-5) — 5x+5 General

Mathematics — FAQs

How many Mathematics questions appear in LAT?
Mathematics is one of the core tested areas. Across our 31-paper archive we have collected 120 Mathematics questions — practicing all of them covers nearly every pattern HEC repeats.
Are these Mathematics questions solved?
Yes — every question below carries its answer. They are memory-based reconstructions from students who appeared in each session: perfect for practice, though not official HEC documents.
How do I master Mathematics for LAT 2027?
Work through the questions below topic by topic, then read our Mathematics preparation guide for strategy, and finally attempt full papers in practice mode under timed conditions.

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