SSLC 2025-26 Model exam question and answers | PART-3 of SET C|summative assessment скачать в хорошем качестве

SSLC 2025-26 Model exam question and answers | PART-3 of SET C|summative assessment

Detailed explanation of Model question paper and answers 13. The table below classifies some households according to their consumption of electricity. (i) The consumption of household at which position is considered the median? (ii) According to the assumptions used to compute the median, how much is the consumption of the 46th household? (iii) Compute the median usage of electricity. 14. Calculate the slope of the line joining (1, 0) and (0, 1). Write the coordinates of another point on this line. 15. ⁠(i) In the picture, ABC is an equilateral triangle (a) What is the length of a side of the triangle? (b) Calculate the coordinates of C. (ii) Draw coordinate axes and draw the equilateral triangle with (2, 1), (-2, 1) as two vertices. 16. A. In the picture, the point P divides the line AB in the ratio 1: 2. (i) Calculate the lengths AC and BC (ii) Calculate the lengths AD and PD (iii) Calculate the coordinates of P. B. (1, 1) is a point on a circle centered at (4, 5). (i) What is the radius of this circle? (ii) What is the equation of the circle? (iii) Calculate the coordinates of one of the points where this circle cuts the x-axis. 17. The sum of two numbers is 20 and their product is 95. i) Write these facts as a second degree equation (ii) Calculate the numbers. 18. (i) Calculate the sum of the first n terms of the arithmetic sequence with nth term 5n+1. (ii) How much more is the sum of the first 20 terms of the arithmetic sequence with nth term 5n + 4 than the sum of the first 20 terms of the sequence? 19. Prove that the arithmetic sequence with first term=1/3 and common difference = 2/3 contains all odd numbers; prove also that this sequence contains no even number. 20. A. (i) Write x^2-x - 56 as the product of two first degree polynomials (ii) What should be x to make 2x^2- 2x - 112 = 0 OR B. What are the coordinates of the points where the graph of 3x^2 + 2x - 5 intersects the x-axis? 21. A boy 1.5 meters tall, standing at the top of a building 20 meters high sees a car parked on the road at an angle of depression 30. How far away from the bottom of the building is the car parked?