...Sample Test for ASAT (XI - NM) Aspire Scholarship cum Admission Test Time: 2 Hrs Max Marks: 220 SYLLABUS & SCHEME SUBJECTS Qs. SYLLABUS Mental Aptitude : 25 Physics : Chemistry : Math : 10 10 10 General IQ Light, Human Eye Carbon Compounds, Periodic Classification Quadratic Equations, AP, Trignometry, Mensura tion, Circles, Straight Line INSTRUCTIONS TO CANDIDATE Each subject in this paper consists of multiple choice questions with only one correct answer. +4 marks will be awarded for correct answer and –1 mark for wrong answer. Please read the instructions given for each question carefully and fill the correct answer against the question numbers on the answer sheet in the respective subjects. Use blue or black ball point pen or H.B. pencil to darken the appropriate circle & mark should completely fill the circle. The Question paper contains blank spaces for your rough work. No additional sheet will be provided for rough work. Blank papers, Clipboards, Log Tables, Slide rule, Calculators, Cellular phones, Pagers and Electronic gadgets in any form are not allowed. Write your Name, Roll Number in the block at the top of the Answer Sheet. Also write your Name & Roll No. in the space provided on this cover page of question paper. This test paper is just an indicative of the actual test, The pattern of the actual test may vary. Name:___________________________________________Roll No.:________________ 1 SECTION - A MENTAL APTITUDE Directions : (Q 1-3)Complete...
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...1 SOME IMPORTANT MATHEMATICAL FORMULAE Circle : Area = π r2; Circumference = 2 π r. Square : Area = x2 ; Perimeter = 4x. Rectangle: Area = xy ; Perimeter = 2(x+y). 1 Triangle : Area = (base)(height) ; Perimeter = a+b+c. 2 3 2 Area of equilateral triangle = a . 4 4 Sphere : Surface Area = 4 π r2 ; Volume = π r3. 3 2 3 Cube : Surface Area = 6a ; Volume = a . 1 Cone : Curved Surface Area = π rl ; Volume = π r2 h 3 π r l + π r2 Total surface area = . Cuboid : Total surface area = 2 (ab + bh + lh); Volume = lbh. Cylinder : Curved surface area = 2 π rh; Volume = π r2 h Total surface area (open) = 2 π rh; Total surface area (closed) = 2 π rh+2 π r2 . SOME BASIC ALGEBRAIC FORMULAE: 1.(a + b)2 = a2 + 2ab+ b2 . 2. (a - b)2 = a2 - 2ab+ b2 . 3.(a + b)3 = a3 + b3 + 3ab(a + b). 4. (a - b)3 = a3 - b3 - 3ab(a - b). 2 2 2 2 5.(a + b + c) = a + b + c +2ab+2bc +2ca. 6.(a + b + c)3 = a3 + b3 + c3+3a2b+3a2c + 3b2c +3b2a +3c2a +3c2a+6abc. 7.a2 - b2 = (a + b)(a – b ) . 8.a3 – b3 = (a – b) (a2 + ab + b2 ). 9.a3 + b3 = (a + b) (a2 - ab + b2 ). 10.(a + b)2 + (a - b)2 = 4ab. 11.(a + b)2 - (a - b)2 = 2(a2 + b2 ). 12.If a + b +c =0, then a3 + b3 + c3 = 3 abc . INDICES AND SURDS m n mn (ab)m = a m b m am 1. am an = am + n 2. = a m − n . 3. (a ) = a . 4. . an m am −m = 1 a 5. = . 6. a 0 = 1, a ≠ 0 . 7. a . 8. a x = a y ⇒ x = y m am b b 9. a x = b x ⇒ a = b 10. a ± 2 b = x ± y , where x + y = a and xy = b. S B SATHYANARAYANA ...
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