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Aga Khan School, Hyderabad Mid Term Examination 2011 Mathematics (Objective) Father’s name: ________________ M. Marks: 20 Date: 14 - 03 – 2010 Invigilator’s signature: _____________ 5. Find the value of k. Write your answer as a decimal number. Name of student: __________________ Class: VII Time: 30min Seat #: ……………. 1. Tabular form of {x | x is a whole number multiple of 2 and 3} is A. {6,12, 18,24,……….} B. {2,4, ,6,8,……….} C. {3,6, 9,12,……….} D. {2,3, 4,6,8,9……….} 2. Which of the following is∅? A. {x | x is set of stars } B. {x | x is set of students in class 7} C. {x | x is a whole number before 1} D. {x | x is a nature number before 1} 3. Through diagram, which set is sub set of A and D set? A. B. C. D. 6. 9 12 8.45 8.46 8.47 8.48 Type these numbers in order from greatest to least, using the formats given. 18 40 A. -21 28 9 12 9 12 B. A. B set B. C set C. E set D. F set 4. consider Venn diagram, (𝑷 ∪ 𝑸) − 𝑹 = A. {5 ,20 75} B. {20,75} C. {5,75} D. {5,20} 1|Page C. −1 4 D. −21 28 -1 4 −1 4 18 40 18 40 −21 28 −21 28 18 40 −1 4 18 40 𝟒 7. Additive inverse of 𝟐 𝟐 is A. -2 B. -3 C. -4 D. -5 −21 28 −1 4 9 12 9 12 8. Convert 1.103 to fraction is 𝟏𝟏𝟑 A. B. C. 𝟏𝟎𝟎 𝟏𝟎𝟑 15. In figure ,the congruence rule use to prove ∆𝑨𝑪𝑩 ≅ ∆𝑨𝑫𝑩 is ________ A. SSS 𝟏𝟎𝟎 𝟏𝟏𝟎𝟑 B. ASA 𝟏𝟎𝟎𝟎 𝟏𝟏𝟎𝟑 D. 𝟏𝟎𝟎 9. Rounding off 0.1284 to 2 decimal place is A. 0.12 B. 0.13 C. 0.18 D. 0.14 10. Which of the following expression is Monomial? A. 𝒙𝟐 − 𝟐𝒙𝟑 + 𝟒𝒙𝟔 + 𝟐 B. 𝒙𝟒 − 𝟐𝒙𝟒 + 𝟒𝒙𝟐 C. 𝟒𝒙𝟐 − 𝟐𝒙𝟑 + 𝟒𝒙𝟐 D. 𝟑𝒙𝟒 − 𝟐𝒙𝟐 + 𝒙 C. SAS D. RHS 16. Which of following pair show congruent triangle by A.S.A _____ A. Pair 1 B. Pair 2 C. Pair 3 D. Pair 4 11. Find the missing term: (4x + ___) + (2x + 3) - (x + 1) = 5x + 3 A. B. C. D. 1 2 5 8 12. The sides of a triangle are represented by the expressions 2x2 + 4, 5x2 – 6x, and 8x + 3. Which of the answers is the simplest expression for the perimeter of the triangle A. 7x2 + 2x + 7 B. 7x2 + 14x + 7 C. 3x2 + 2x + 1 D. 3x2 + 2x + 7 13. Simplify A. −𝟏𝟐𝒓𝟑 𝒔 B. −𝟏𝟐𝒓𝟑 𝒔𝟐 C. 𝟏𝟐𝒓𝟑 𝒔𝟑 D. 𝟏𝟐𝒓𝟐 𝒔𝟑 14. factorize A. B. C. D. 2|Page is (p - 4/5) (p + 4/5) (p - 4/5) (p - 4/5) (p + 4/5) (p + 4/5) p(p - 16/25) 17. The value of b0 is A. 300 B. 600 C. 900 D. 1300 18. The value of x0 is A. 300 B. 400 C. 550 D. 60 19. The value of a0 is A. 300 B. 600 C. 900 D. 1300 20. The value of b0 is A. 300 B. 600 C. 900 D. 1350 Aga Khan School, Hyderabad Final Examination 2011 Mathematics (Subjective) Name of student: __________________ Class: VII Time: 2h 20min Seat #: ……………. Q.1 Use Venn diagram to find a. Set A=_____________ B=________________ Father’s name: ________________ M. Marks: 20 Date: – 03 – 2011 Invigilator’s signature: __ Total marks (10) (02) C= _____________ U= ________________ b. Verify 𝑨 ∪ (𝑩 ∩ 𝑪) = (𝑨 ∪ 𝑩) ∩ (𝑨 ∪ 𝑪) 𝑨 ∪ (𝑩 ∩ 𝑪) __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ c. Use the Venn diagram to verify 𝑪 ∩ 𝑨𝒄 = 𝑪 − 𝑨 (04) (𝑨 ∪ 𝑩) ∩ (𝑨 ∪ 𝑪) __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ __________________________________________ (04) ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ _____________________________________________________________________________ U U 𝐶 ∩ 𝐴𝑐 3|Page 𝐶−𝐴 Q.2 a) represents approximately the additive inverse following number on number line. (04) i) -1.7 ii) -2.6 iii) 2.4 IV) 1.5 b) Simplify Fill the blacks in a table Name op properties (04) Properties 𝟏×𝟓= 𝟓= 𝟓×𝟏 𝟎+𝟓=𝟓=𝟓+𝟎 (𝟎 + 𝟓)𝟓 = 𝟎 + 𝟐𝟓 𝟓 + (−𝟓) = 𝟎 c) Simplify 𝟏 𝟐 𝟑 −𝟑+𝟒 𝟐 (04) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 4|Page Q.3 (04) a) Match by array () decimal numbers to their respective rational number. (04) DECIMAL NUMBER 0.01 -72.1 1.22 -22 RATIONAL NUMBER 𝟐𝟐 𝟏 𝟏 𝟏𝟎𝟎 𝟏𝟐𝟐 𝟏𝟎𝟎 − − 𝟕𝟐𝟏 𝟏𝟎 b) Fill the following Rational number on their respective place. 𝟏 𝟏 𝟑 𝟐 , 𝟒 , , 𝟑 𝟐 𝟕 TERMINATING 5|Page RECURRING (04) Q.4 a) 𝒊𝒇 𝒂 + 𝒃 = 𝟒 𝒂𝒏𝒅 𝒂𝒃 = 𝟑, 𝒇𝒊𝒏𝒅 𝒂𝟐 + 𝒃𝟐 (04) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ b) a) Simplify (3a2 – 2b2)2 - (3a2 + 4b2)2 (04) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ c) fill the box to completethe algebric identity ( 6|Page + )2=4x2+4xy+y2 (02) Q.5 factorize 2 a) x +9xy+36y2 (02) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ b) a8 – b8 (03) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 7|Page Q.6 a) Find the unknown angles x (04) ,y z __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ b) Find the values of x, y and z in the following figure. (04) __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ __________________________________________________________________________________________ 8|Page Q.7 9|Page (07)