1st Year Maths Past Papers
All Solved 1st Year Maths Past Papers written by Honorable Professor Mr. Adnan Haider Suib. These notes are very helpful in the preparation of 1st Year Maths Past Papers of all Punjab Boards (Faisalabad Board, Gujranwala Board, Lahore Board, Multan Board, Rawalpindi Board, D.G. Khan Board, Bahawalpur Board, Sargodha Board, Sahiwal Board ) for the students of the Intermediate part-I and these are according to the paper patterns of all Punjab boards.
Summary and Contents:
Topics which are discussed in the notes are given below:
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- The system of angular measurement in which the angle is measured in radian is called:
(a) Sexagesimal System (b) β Circular System (c) English System (d) Gradient System
- With usual notation , if π = πππ, π = πππ, then unit of π½ is:
(a) ππ (b) ππ2
(c) β No unit (d) ππ3
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- πΒ° is equal to:
(a) 0.175 πππ (b) β0.0175πππ (c) 1.75 πππ (d) 0.00175πππ
- Circular measure of angle between the hands of a watch at π
β²πΆ πππππ is
(a) 45Β° (b) β 120Β° (c) 3π /2
(d) 270Β°
- If π½ = ππΒ° , π = ππππ , then π =
(a) β
9
2
π (b) 2
9
π (c) 812mm (d) 810mm
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- Angles with same initial and terminal sides are called:
(a) Acute angles (b) Allied Angles (c) βCoterminal angles (d) Quadrentel angles
- An angle is in standard position , if its vertex is
(a) βAt origin (b) at π₯ β ππ₯ππ (c) ππ‘π¦ β ππ₯ππ (d) in 1st Quad Only
- If initial and the terminal side of an angle falls on π β ππππ ππ π β ππππ then it is called:
(a) Coterminal angle (b) β Quadrantal angle (c) Allied angle (d) None of these
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- In right angle triangle, the measure of the side opposite to ππΒ° is:
(a) βHalf of Hypotenuse (b) Half of Base (c) Double of base (d) None of these
- The point (π, π) lies on the terminal side of angle:
(a) 0Β° (b) β 90Β° (c) 180Β° (d) 270Β°
- The point (βπ, π) lies on the terminal side of angle:
(a) 0Β° (b) 90Β° (c) β 180Β° (d) 270Β°
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- The point (π, βπ) lies on the terminal side of angle:
(a) 0Β° (b) 90Β° (c) 180Β° (d) β 270Β°
- Angles associated with basic angles of measure π½ to a right angle or its multiple are called:
(a) Coterminal angle (b) angle in standard position (c) β Allied angle (d) obtuse angle
- Smallest +πππ number which when added to the original circular measure of the angle
gives the same value of the function is called:
(a) Domain (b) Range (c) Co domain (d) βPeriod
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- The graph of trigonometric functions have:
(a) Break segments (b) Sharp corners (c) Straight line segments (d) β smooth curves
24.
- Curves of the trigonometric functions repeat after fixed intervals because trigonometric
functions are
(a) Simple (b) linear (c) quadratic (d) β periodic
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- A βTriangleβ has :
(a) Two elements (b) 3 elements (c) 4 elements (d) β 6 elments
- When we look an object above the horizontal ray, the angle formed is called angle of:
(a) βElevation (b) depression (c) incidence (d) reflects
- When we look an object below the horizontal ray, the angle formed is called angle of:
(a) Elevation (b) β depression (c) incidence (d) reflects
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- A triangle which is not right is called:
(a) βOblique triangle (b) Isosceles triangle (c) Scalene triangle (d) Right isosceles triangle
- To solve an oblique triangle we use:
(a) βLaw of Sine (b) Law of Cosine (c) Law of Tangents (d) All of these
- Which can be reduced to Pythagoras theorem,
(a) Law of sine (b) β law of cosine (c) law of tangents (d) Half angle formulas
- To solve an oblique triangles when measure of three sides are given , we can use:
(a) βHeroβs formula (b) Law of cosine (c) Law of sine (d) Law of tangents
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- The circle passing through the thee vertices of a triangle is called:
(a) βCircum circle (b) in-circle (c) ex-centre (d) escribed circle
- The point of intersection of the right bisectors of the sides of the triangle is :
(a) βCircum centre (b) In-centre (c) Escribed center (d) Diameter
- Inverse of a function exist only if it is:
(a) Trigonometric function (b) β(1 β 1) function (c) onto function (d) an into function
- An equation containing at least one trigonometric function is called:
(a) Trigonometric function (b) βTrigonometric equation (c) Trigonometric value (d) None
- For the general solution , we first find the solution in the interval whose length is equal to
its:
(a) Range (b) domain (c) co-domain (d) β period
- All trigonometric functions are β¦β¦β¦functions.
(a) βPeriodic (b) continues (c) injective (d) bijective
- General solution of every trigonometric equation consists of :
(a) One solution only (b) two solutions (c) β infinitely many solutions (d) no real solution