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Nội dung text 9th full book guess paper math.pdf



Federal board Guess Paper 2025 Math class 9 SECTION – C (Marks 24) (3 × 8 = 24) Note: Attempt all questions. Marks of each question are given Question Question 1 Chapter 10 Chapter 6 1. Construct a LMN when LM=4.1 cm ,MN=4 cm and MN=4cm and ⋖ M = 900 . Draw perpendicular bisectors of sides of triangles .Are they concurrent . 2. Construct a △ XYZ when XY=6 cm and ⋖ X = 450 And ⋖ Y = 600 . Draw altitudes of triangles .Are they concurrent . 3. Construct a ABC when AB=4.7 cm ,BC=4.5 cm and AC=4.6cm . Draw bisectors of Three angle of triangles .Are they concurrent 4. Construct a triangle and prove that the median of a triangles is concurrent .(example 9) 5. Show that the median of the following triangle is concurrent if ABC when AB=5.8 cm ,BC=5 cm and ⋖ Y = 450 . 1. If sinθ = √3 2 and terminal ray of is in first quadrant ,then find the remaining trigonometric ratios for same value of θ. 2. Solve the right angled triangle if △ ABC , ⋖ C = 900 .,a=4cm ,c=4 √2 cm 3. from A point at distance of 20 m from a tree ,angle of elevation of a tree is 300 .find height of the tree 4. An Aeroplane at an altitude of 900 m find that two ships are sailing towards it in the same direction .The angles of depression of ships as observed from plane are 300 and 600 . Find distance between ships . 5. Prove that √ 1−cosθ 1+cosθ = sinθ 1+cosθ 6. Show that sec2θ − tan2θ = 1 7. Show that sin2θ − cos2θ = 1 8. A Ship sails from port A to Port B at a bearing of 0400 for 35 km .Then ,it sails at a bearing of 1350 for 50 km from B to port C .Find (a) The distance between port A and port C (b) The bearing of C from A 9 .The positions of three ships A,B and C are such that the bearing of B from A is 0450 and ship C is to the east of A .if bearing of C from B is 1800 and mAB = 10km ,what is the bearing of A from C ? Also find the distance between ship A and ship C . Chapter 4

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