Typed By: Yakub S., GHS Nada, Belthangady for MSTF Mangalore (Belthangady wing) Page 1

BELTHANGADY TALUK MATHS TEACHERS WORKSHOP MINIMUM STUDY LEVEL QUESTION PAPER

Time: 2hour SUBJECT: MATHEMATICS TOTAL: 50 I . Choose the best alternative from following options 1 x 7 = 7

1) The Arithmetic Mean between 12 and 30. (A) 12 (B) 30 (C) 21 (D) 42

2) If nC2 = 90,then the value of n ‘ is ---- (A) 10 (B) 9 (C) 90 (D) 45

3) Three coins are tossed at a time, the probability of getting all heads. (A) (B) (C) (D)

4) If The Standard deviation of 10 data is 8, then the variance is ---- (A) 16 (B) 4 (C) 80 (D) 64 5) If 2sin휃 = 1, then 푡he value of θ is ----

(A) 300 (B) 450 (C) 600 (D) 900 6) If 푠in 푥 = , then,푐표푠ec 푥 = -----

(A) (B) (C) (D) 7) If f(x) = 3x3 + 3x2 – 11x - 6 ,then f(1) is ----

(A) -11 (B) 22 (C) 0 (D) -6

II. Answer the following 1 x 5 = 5 8) Express 120 as the product of prime factors... 9) If A and B are disjoint sets then what is n (A∩B)? 10) The corresponding heights of two similar triangles are 3cm and 5cm. Find The ratio of their areas.

11) What are concentric circles? 12) Write a formula to find the total surface area of a hemisphere.

III. Answer the following 2x 10 = 20 13) Construct a pair of tangents to a circle of radii 5cm, and the angle between them

Is 500 14) Rationalize the denominator and simplify

3√5√3 + √2

15) Find the product. √2 x √3 16) In a group of passengers, 100 know Kannada, 50 know English and 25 know both. If

passengers know either Kanada or English. Drawing Venn diagram find the total number of passengers are in a group.

17) How many triangles to be drawn through 12 points on a circle? 18) Solve by using the formula. x2 - 2x + 4 =0 19) If tan휃 = ,then find sin 휃 and cos휃 20) Find the slope of a line forming by joining the points (-4, 1) and (-5, 2).

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Typed By: Yakub S., GHS Nada, Belthangady for MSTF Mangalore (Belthangady wing) Page 2

21) Verify Euler’s formula for the given graph

22) Sketch out the field to the following notes from the field book (1 cm = 25m.)

To D

100 To E

200 125 75 25

75 To C

50 To B

From A

IV. Answer the following 3 x 2= 6

23) Calculate the standard deviation of the following data X 5-15 15-25 25-35 35-45 45-55 55-65 f 8 12 20 10 7 3

24) prove that “If two circles touch each other internally, the centers and the point of Contact Collinear” V) Answer the following 4 x 3= 12

25) Draw transverse common tangents to two circles of radii 5cm and 2cm having Their centers 9cm apart and measure their lengths. 26) Solve graphically: x2 +3 x + 2 =0 27) Prove that in a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.

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