All India Management Association (AIMA) 2009 A.M.I.E Section A home - Question Paper

SAMPLE ques. - 2009
Class - X
Subject - Mathematics
Time:3hrs Max.Marks:80
General Instructions
1. All ques. compulsory
2. The ques. paper consist of thirty ques. divided in to four parts A,B,C and D. part A comprises of ten ques. of one marks every ,Section B comprises of 5 ques. of two marks each, part C comprises of ten ques. of three marks every and part D comprises of 5 ques. of six marks every
3. All ques. in part A are to be answered in 1 word , 1 sentence or as per the exact requirement of the ques.
4. there is no overall option .However internal option has been given in 1 ques. of two marks every ,three ques. of 3 marks every and 2 ques. of six marks every .You have to attempt only 1 of the options in all such ques..
5. In ques. on construction ,drawings should be neat and exactly as per the provided measurements
6. Use of calculators is not permitted .However you may ask for mathematical tables

part A
1. is a composite number because ………………………
2. If H.C.F.(26,91)=13, obtain the L.C.M.(26,91).
3. Find the value of k if has equal roots
4. Express in terms of trigonometric ratios of angles ranging from 00 and 450
5. How many terms of the AP will provide the sum zero.
6. If every side of an equilateral triangle is ‘2a’ units, what is the length of its altitude?



7. Prove that the tangents at the end of a diameter are parallel..
7.
8. In the provided figure DE is parallel to BC and determine
9. A circle is inscribed in having sides AB = eight Cm ,BC = 10 Cm , and AC= 12 Cm
as shown in the figure obtain AD , BE and CF
10. One letter is opted at random from the word ‘UNNECESSARY’. obtain the probability of selecting an E


SECTION- B

11. Solve the formula 2x2 –7x + three = 0 by the method of completing the square.

12 If seven cosec ? - three cot ? = 7, then prove that seven cot ? – three cosec ? = 3.
OR
Prove that (1+ cot A + tan A )(sin A – cos A) = secA.

13. ABCD is the rectangle whose vertices are A(0,0), B(a,0), C(a,b), D(0,b). Show that the diagonals of it bisect every other and are equal.

14. obtain the value of P if the mean of the subsequent distribution is 20.

x 15 17 19 20+P 23
f 2 3 4 5P 6

15. Construct 2 tangents to a circle of radius 3cm from a point on the concentric circle of radius 6cm.
OR
Construct a triangle similar to a provided triangle with sides five cm, 12 cm, 13 cm and whose sides are 3/5 of the corresponding sides of the provided triangle.

SECTION-C

16. Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 where q is a few integer.

Earning:   Approval pending.