Dinesh Pk

GHSS MAVOOR HOME EXAMINATION 2020 STD : X MATHEMATICS CHAPTERS (1, 2, 3) MARKS: 30 TIME : 1 hr Instructions : First 10 minutes cool off time Answer any two questions from 1 to 3. Each questions carries 2 marks. 1. The sum of first 15 terms of an arithmetic sequence is 450 and the 6th term in 24. a) What is the eighth term of this sequence ? b) What is the common difference ? 2. One says a 3 digit number. What is the probability of being the first digit and the last digit the same ? 3. Draw a triangle of circum radius 3 cm and two of its angles 72º and 54º Answer any three questions from 4 to 7. Each question carries 3 marks 4. a) Find the sum of first 20 terms of an arithmetic sequence having algebraic form 6n + 3 b) Write the algebraic expression of the sum. 5. The angles in a 9 – sided polygon are in arithmetic sequence. Is the smallest angle of the polygon 100º. Justify your answer? 6. In figure, central angle of arc AXB is 40º, central angle of arc CYD is 70º. Find the angles of Δ APD. Y C D P A X B 7. If a dot is put in the incircle of an equilateral triangle without looking into it. Find the probability that the dot is inside the incircle. Answer any three questions from 8 to 11. Each question 4 marks 8. ‘O’ is the centre of the circle, < OCA = xº. Find a) < OAC b) Prove that < OCA + < ABC = 90º c) Prove that < ADC - < OCA = 90º B O X C C A D 9. In the figure AD is the diameter of the circle, AD = 10 cm, BD = 6 cm, CD = 2 cm. Find PQ Q ` P ` A 10. Considering an arithmetic sequence B ` 𝟏𝟕 𝟕 , C ` 𝟑𝟏 𝟒𝟓 𝟕 , 𝟕 D ` , …. a) Write the algebraic expression of the sequence. b) Is there any counting number in this sequence? Justify your answer. 11. Prime numbers less than 20 are written in paper slips and put in a box. All natural numbers up to 10 are written in another set of paper slips and put in a second box. a) How many paper slips are there in the first box. b) How many paper slips are there in the second box. c) If one slip is drawn from each box, what is the probability of both being prime? Answer any one question from 12 and 13. Each question Carries 5 marks. 12. Draw a rectangle of width 6 cm and height 3 centimeters. a) Draw a rectangle of the same area and width 7 centimeters. b) Draw a square of the same area. 13. a) Draw a square of area 10 square centimeters b) Draw an equilateral triangle of perimeter 3√10 centimeters.