Annual Sample Paper – II : 2013 – 14 Std. : IX Q:1 Sub. : Maths SECTION : A (All questions are compulsory in this section) (A) Find amount and C.I. on ` 19,000 in 3 years at 8% p.a. 2 (B) If x + (03) 1 1 3 = 7 , find x + x2 x3 (03) (C) The sum of three consecutive natural numbers divisible by 3 is x, form an equation. Also find the three numbers. (04) Q:2 (A) Solve for x. 1 3 x – 1 – (03) 1 x – 2 = 1 4 (B) In ABC , D and E are the mid-points of AC and BC respectively. Find the values of (a) ABC (b) DE if AB = 4.4 cm. (03) (C) A man invested ` 40,000 for 3 years at the C.I. rate of 8% p.a. After 2 years the rate of interest was raised to 10%. (04) (1) Find the total interest earned by him. (2) Find the amount he received after 3 years. Q:3 (A) A map of a rectangular field is drawn to a scale of 1 : 5000. (03) (1) Find the actual length of the field if the length of the same in the map is 25 cm. (2) If the actual width of the field is 1 km., find its width in the map. (B) In the figure AB = 6 cm. AC = 10 cm, find the values of (03) (a) sin (b) cos (c) 10 cm 6 cm cosec + sec (C) In the given figure MN KL GH and AB = AC. If DE = 2.2 cm, find DF. SGVP International School, Ahmedabad - INDIA (04) Page 1 of 3 Q:4 (A) If sin = (a) 5 13 then find tan 1 cos (03) (b) 5sin – cos tan (B) The edge of a cube measures 5 cm, find (a) its volume (b) its surface area and the length of a diagonal. (03) (C) Raju lends ` 10,000 to John at the simple interest rate of 10% for 3 years and ` 10,000 to Rahim at the compound interest rate of 15% for 2 years. Find the sum of money that John and Rahimwill return to Raju when they repay the loan. Who will pay more and by how much ? (04) (a) If AD = 3 cm, DB = 4 cm, EC = 12 cm, find AE. (b) If AE = 2.7 cm, EC = 4.5 cm, AD = 2.4 cm, find BD. SECTION : B (Attempt any four questions from this section) Q:5 (A) Find x if the mean of three numbers is 8 and the mean of those three numbers and x is 7. (03) (B) Evaluate : 2sin2 30° – 3cos2 45° + tan2 60° (03) (C) Find the area of the triangle whose sides are in the ratio 5:6:7 and the perimeter is 54 cm. (04) Q:6 (A) Two cubes of edge 14 cm each are joined end to end to form a cuboid, find the volume and the total surface area of the cuboid. (03) (B) Solve using elimination method. 3x – 7y = 7, (03) 11x + 5y – 87 (C) The denominator of a fraction is 1 more than double of the numerator. If both the numerator and denominator are increase by 4, the fraction becomes assuming the numerator as x, find the fraction. Q:7 (A) (1) Factorize : 25x2 + 20x + 3 4 2 a 3 5 (04) (03) (2) Simplify : – 1 + 1 2 a 16–a (B) ABC is right angled at B and D is any point on AB DE is perpendicular to AC. If AD = 4 cm, AB = 16 cm and AC = 24 cm, find AE. (03) SGVP International School, Ahmedabad - INDIA Page 2 of 3 (C) A two-digit number is 7 itmes the sum of its digits. The number formed by reversing the degits is 18 less than the original number. Find the number. (04) (a) volume Q:8 (b) C. S. A (c) T. S. A (A) The money spent by 30 students during the tiffin hour were as follows.. Find the mean. (03) Money Spent (in `) No. of Students 0 5 5 2 10 12 20 7 25 2 30 2 Total 30 (B) Draw the graph of the equating given below using the slope and y - intercept (03) X=y+2 (C) (1) Evaluate : 1283 + 2723 1282 – 128 × 272 + 2722 (04) (2) Factorize : (x + 2) (x + 3) –12 Q:9 (A) Construct a histogram of the given data. Class-interval Frequency 0-30 7 30-60 4 60-90 5 (03) 90-120 120-150 10 6 Total 32 (B) (1) Find the median of first 6 prime numbers. (03) (2) Find the median of the following data. Variate 10 11 12 13 14 Frequency 1 2 3 4 5 (C) For the collection of data be grouped into the class intervals 56-59, 59-62, 6265, 65-68, 68-71 then answer the following (04) (1) What is the type of these clas intervals ? (2) What are the class limits and class boundaries of the class interval 68-71 ? (3) What are the class size and the class mark of the class interval 68-71 ? Where data is 60, 65, 63, 70, 65, 62, 65, 63, 64, 60, 68, 58, 62, 65, 63, 65, 64, 60, 62, 63. Q : 10 (A) The area of a trapemium is 240cm2 and its parallel sides are in the ratio 2:1. If the distance between the parallel sides is 50 cm then find the longer of the parallel sides. (03) (B) In how many years will a sum of ` 5000 become ` 6655 at the compound interest rate of 10% per annum ? (03) (C) The curved surface area of a right circular cylinder is 1760 cm2 and its radius is 14cm. Find its (04) (1) height (2) Volume and capacity in litres (3) curved surface area and (4) Total surface area SGVP International School, Ahmedabad - INDIA Page 3 of 3

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