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Sunday, 7 April 2024

MATHEMATICS II - FOR CLASS X (Science Group) - GUESS PAPER 2024 - By Sir Sajjad Akber Chandio

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Mathematics II
For Class X (Science Group)
Guess Paper 2024

By Sir Sajjad Akber Chandio
Sets And Functions
Q.1: If A = {1,2,3,4…..10 }, B={2,4,6,8,10}, U= {1,2,3…….12 } verify Demorgan’s law (AUB)’= A'∩B'
Q.2: Find x and y (x+5, 8) and (9, y-6)
Q.3: A = {1,2,5}, B = {2,4,6}, C= {2,4}. Then prove that:
  1. A∆B = (AUB) - (A∩B)
  2. A∩B x B∩C
Q4: A = {1,2,3……6}, B = {2,4,6,8,10}, U = {1,2,3……12}. Verify Demorgan’s law (A∩B)’ = A'UB'

Variations

Matrices And Determinants

Basic Statistics
Q1: find the mean, Mode, Medium, G.M, H.M, of electricity consumption (in kWh) of a shop for 60 days.

Q2: If x= 51,55,52,54,58,60,61,62,52,57,52,64. Find mean, median, mode, valiance, range, G.M, H.M.

Pythagoras’s Theorem
Q1: a=15cm, b=12cm, c= 13cm

Introduction To Trigonometry
Q1: from the top of a light house 102m high a measure of the angle of depression of a ship is 18°30’. How far is the ship from the light house?
Q2: A ladder makes angle 60° with the ground and reached the height of 6m on the wall, find the length of the ladder?
Q3: Find the angle of elevation when a 6m high bamboo makes a shadow of length 2√3 m?
Q4: Find the remaining trigonometric functions ∫ ratios: if,

Theory Of Quadratic Equations
Q1: Show that:
  1. (1+Ɯ)(1+ Ɯ2)(1+ Ɯ4)(1+ Ɯ8) = (Ɯ + Ɯ2)4
  2. (a+ Ɯb+ Ɯ2c)(a+ Ɯ2b+ Ɯc) = a2+b2+c2-ab-ba-ca
Q2: Sum of the roots of equation 2x2-3x+4m=0 is 6 times the product of its roots.
Q3: The roots of the equation on 5x2-7x+k-2 = 0 satisfy the relation 2α+5β= 1.

Practical Geometry Circles
Q1: Construct the ∆ABC and draw its circumcircle in each case.
  1. mAB = 5.5cm, mAC = 6 cm and m∠A = 50°
  2. mAB = 6cm, mBC = 4.5cm and mAC = 5cm
Q2: Draw two equal circles each of radius 3.3cm with centres at the points A and B such that mAB=7.8cm
a)Draw direct common tangent to this circle.
b) Draw transverse common tangents to these circles.

Partial Fraction
  1. x2 + 7x + 3/x2(x + 3)
  2. 6x – 5 / (x2 + 10) (x + 1)

Theorem
Long
1: If the square of one side of triangle is equal to the sum of the squares of the other two sides, then the triangle is a right angled triangle. Prove it. (23.2 pg. 177)
2: If two circles touch externally, the distance between their centres is equal to the sum of their radii. Prove it. (26.4 case a pg. 217)

Short
1: Prove that one and one circle can pass through three vertices of triangle. (Example 1 chap 25 pg. 198)
2: Perpendicular from the centre of the circle to chord bisect it (25.3 pg. 200)
3: The angled in a segment greater than the semi-circle is less than a right angle. (28.3b pg. 237)
4: If the angles subtended by two chords of a circle (or congruent circles) at the Centres (corresponding centres) are equal, the chords are equal. Prove it.
5: A line parallel to one side of triangle and intersecting the other two sides, divides them proportionally. Prove it.


6 comments:

  1. Replies
    1. Education is the key to success15 June 2021 at 01:24

      We will try to upload within two days
      JAZAKALLAH

      Delete
  2. Thanks for uploading all Mcqs.
    you did brilliant work.

    ReplyDelete
    Replies
    1. Education is the key to success17 June 2021 at 14:50

      JAZAKALLAH

      Delete
  3. Thanks for uploading this preperation paper❤

    ReplyDelete
  4. Education is the key to success25 June 2021 at 06:43

    JAZAKALLAH

    ReplyDelete