MATHEMATICS ACHIVEMENT TEST(Try out)

Transcription

1 A MATHEMATICS ACHIVEMENT TEST(Try out) Instructions : The questionnaire contains 60 multiple choice questions, each question given four alternatives A,B,C,D. Choose the correction answer given ( ) Mark. I. 1. In a quadrilateral the angles in oder are x 0, (x+10) 0, (x+20) 0 and (2x-30) 0, then the biggest angle is (A) 72 0 (B) (C) 82 0 (D) In a square ABCD the diagonals AC, BD intersect at 0 Then AOB = (A) (B) 45 0 (C) 80 0 (D) Length, breath of a rectangle are 40 cm, 30 cm respectively then, its area in sq.cm. (A) 1200 (B) 1000 (C) 1600 (D) Area of a Rhombus is 96 sq.cm, One of its diagonal is 16 cm. the second diagonal in cm. (A) 10 (B) 11 (C) 12 (D) The area of a parallelogram ABCD is 248 sq.cm and the diagonal BD is joined. The area of triangle ABD in sq.cm. (A) 122 (B) 124 (C) 126 (D) The area of trapezium is 1 2 (a2 -b 2 ). It is parallel sides are a,b units, then the distance between them is units. (A) ab (B) a b (C) a + b (D) a b i

2 7. Area of triangle is 48 sq.cm, its height is 6 cm. then, the base (in cm) (A) 16 (B) 18 (C) 15 (D) The sides of triangle are 4cm, 5cm, 6cm. which type of triangle it is? (A) Isosceles right angled triangle (B) Equilateral triangle (C) Isosceles triangle (D) scalene triangle 9. The angles of a triangles are 50 0, 80 0, it is triangle (A) Equilateral triangle (B) Isosceles triangle (C) scalene triangle (D) None 10. Area of an equilateral triangle is 64 3 sq.cm, then what is its circumference (in c.m) (A) 45 (B) 47 (C) 48 (D) The sides of a right angle triangle are 3,4,5 c.m; the what is its area (in sq c.m) (A) 6 (B) 8 (C) 10 (D) Area of right angle isosceles triangle is 32 sq.cm then, what is its side (in c.m) (A) 10 (B) 6 (C) 12 (D) The diameter of a circle is equal to the side of a square, then the ratio of their areas is (A) 4: (B) 4 :4 (C) :4 (D) :4 14. The circumference of a semi circle is 144 cm. then its area (in sq.cm) is (A) 1100 (B) 1232 (C) 1280 (D) What is the space between two concentric circles? (A) semi circle (B) Sector (C) Circum circle (D) Ring ii

3 16. In a semi circle, the angle at the center of the sector is II (A) (B) (C) (D) Which of the following is not a set (A) All the students in your class (B) Buffalos in your village (C) Five good books in a school library (D) Letters in English alphabet 18. Pyramids in Egypt (P) belong to seven wonders of the world (W). Express it in symbolic form. (A) W P (B) P W (C) P W (D) W P does not belong to the set of prime numbers P its symbolic form is (A) 8 P (B) 8 P (C) 8 P (D) 8 P 20. S is the set of all vowels of English Alphabet. Write it the roaster form (A) S=(a,e,i,o,u) (B) S={a,e,i,o,u} (C) S= [a,e,i,o,u} (D)S= {A,E,I,O,U} 21. Write A= {1,4,9,16,25} in set builder form. (A) A = {x 2 /x N and x > 6} (B) A = {x 2 /x N and x = 5} (C) A = {x 2 /x N and x > 8} (D) A = {x 2 /x N and x < 6} 22. What we call each player in Indian cricket in set language (A) Element (B) Set form (C) Player (D) Union 23. There are no whole numbers between the whole numbers 2,3. It belongs to which set? (A) Singleton set (B) Null Set (C) Infinite Set (D) Disjoint Set 24. Smt Prathibha Patil belongs to women presidents set. In set language, it belongs to which set. (A) Null set (B) Infinite Set (C) Singleton Set (D) Proper sub set iii

4 25. M = {The days of week} is an example of (A) Finite (B) Infinite (C) Singleton (D) Null 26. Set of natural numbers is an example of (A) Finite set (B) Infinite set (C) Singleton set (D) Null set 27. A= {x/x is a letter in the word follow }; B= { x/x is a letter in the word flow } then what type of set is A,B? (A) Equal sets (C) Equivalent sets (B) Disjoint sets (D) Compliment set 28. The set, which is having the population of a state is an example of (A) Disjoint set (B) Proper sub set (C) Universal set D) Power set 29. A= {Ramu, John, Basha}, B= {John, Nissy, Prince} then A B? (A) A B = {Ramu, John, Basha} (B)A B = { John, Nissy, Prince} (C) A B = {Ramu, John, Basha, John, Nissy, Prince} D) None 30. A= {Hyni, Prince, Ruhi, Tony}. B= {Tony, Jhony, Hyni, Moni} the set, which is formed with the common elements of Hyni, Toni of A and B, is (A) Intersection (B) Union (C) Complement set (D) Power set 31. = {1,2,3,4,5,6}, A= {1,2,3}, B= {4,5,6} then express B in terms of set A (A)Equivalent set (B)Universal set (C)Complement set (D) Power set 32. If A = {1,2,3,5}, B = {2,5,8}, A-B = {1,3}, A B= {1,3,8} then to find B-A the given data is (A) Not sufficient (B) More than sufficient (C) Enough (D)Can t Decide iv

5 33. If A={1,2,3,4} and B= {2,4,6} then find A B (A) {1,3,6} (B) {1,2,3,4} (C) {2,4,6} D) {1,3} 34. The number of elements of a set is called of the set (A) Class (B) Sub set (C) Cardinal Number D)Proper sub set 35. A={m,a,t,e}, B= {d,a,t,e}, C= {a,t,e} and D= {f,a,t,e} which of the given sets are equivalent sets? (A) A,B,D (B) A,C,D (C) B,C,D D)A,C 36. In set C= {1,2,3} there are three elements, then the number of subsets that can be formed. (A) 9 B) 3 (C) 7 (D)8 37. P={a.t}, Q= {a,t,e}, R= {m,a,t,e}, P Q, Q R then P R follows which properties? (A) Associative B) Commutative (C)Transitive (D) Identity 38. If a set has four elements, then its set has 16 elements (A) Power (B) Universal (C) Disjoint (D) Complement 39. P = {Rivers in india},q = {Krishna river} then the set P is of set Q (A) Power set B)Super set (C) Complement set (D)Disjoint set 40. The sets Boys and Girls of your class are an example of for which set (A) Universal set B)Power set (C) Equivalent set (D)Disjoint set 41. If A (B C)= (A B) (A C) then the set union distribution over intersection belongs to which law. (A)Associative (B)Distributive (C) Commutative (D)Identity 42. A={1,2,3}, Q={ } then intersection of these two sets is (A)A (B) A (C) A (D) v

6 43. Express A B in venn diagram 44. How do you express one to one correspondence between the sets x= {1,2,3}, Y= {p,q,r} 45. Observe the set P=( m,a,n) and correct it 46. Observe the set Y= {t,e,a,c,h,e,r} and correct it III 47. To bring beauty to the things orderliness and evenness in their shape is called. (A) Access of symmetry (B) Line symmetry (C) Symmetry (D) Point symmetry 48. Which of the following is an example for symmetry? (A) Butterfly (B) Caterpillar (C) A person with one hand short (D)A person with one leg short 49. The line, above which the figure is symmetrical is known as (A)Symmetry (B)Asymmetry(C)Line of symmetry(d)point symmetry 50. The figure which coincides with its image on the other side of the line is (A) Point symmetry (B) Reflective symmetry (C) Asymmetric Figure (D) Axis of Symmetry 51. Axis of symmetry of a figure divides that figure into how many equal parts. (A) 4 B) 5 (C) 3 (D) Which of the following figure has more than one axis of symmetry? (A) Figure in the shape of a kite B) Figure in the shape of an arrow (C) Figure in the shape of a rectangle (D) Figure in the shape of a semi circle 53. If we can t find axis of symmetry for a figure, then what do we call it (A) Asymmetric Figure (B) Symmetric figure (C) Point symmetry (D) Line Symmetry vi

7 54. The letter H, at how many points contains point symmetry (A) 1 B) 2 (C) 3 (D) None 55. Point symmetry of a parallelogram? (A) Center B) Mid Point (C) Point of intersection of diagonals (D) No point symmetry 56. To find reflex co-ordinate of a point (-8,-10) in a given X Axis (A) (-8,-10) B) (-8,10) (C) (8,-10) (D) (8,10) 57. Which of the following figure is Asymmetry (A) (B) (C) (D) 58. Which of the following does not have a line symmetry (A) (B) (C) (D) 59. Draw the image of the following figure about the line given 60. Draw the image of the following figure about the line given vii

8 A Try Out : A,B,C,D X,( X 10),( X 20), (2X 30) ABCD AC, BD AOB? ABCD BD ABD (a 2 -b 2 )a,b ab a/b a + b a - b i

9 3 4 : 4 : 4 : 4 : 4 PW W P P W P W W P P p 8 p 8 p 8 p ii

10 S s =(a,e,i,o,u) s ={a,e,i,o,u} s ={a,i,o,u} {A,E,I,O,U) A = {1,4,9,6,25} A = {X 2 /X N X>6} A = {X 2 /X N X = 5} A = {X 2 /X N X< 8} A = {X 2 /X N X < 6} M = { A = { x/x follow } B = { x/x flow } A = {} B = {} A B? A B = {} A B = {} A B = {} iii

11 {}A = {1,2,3} B = { 4,5,6} B A A = {1,2,3,5}, B = {2,5,8}, A B = {1,3} A B = {1,3,8} B A A = {1,2,3,4} B={2,4,6) {1,3,6} {1,2,3,4} {} {1,3} A = {m,a,t,e}, B = {d,a,t,e}, C = {a,t,e} D = {f,a,t,e} A,B,D A,C,D B,C,D A,C C = (1,2,3) 3 P= {a,t}; Q= {a,t,e}; R= {m,a,t,e} P Q, Q R P R P = {}{} P Q iv

12 A (B C) = (A B) (A C) A = {1,2,3} = { } A A A A B X = {1,2,3} Y= {p, q, r} P = (m,a,n) Y = { t,e,a,c,h,e,r} v

13 H X - (-8, -10) (-8, 10) (8, -10) (8, 10) vi

14 A MATHEMATICS ACHIEVEMENT TEST(Final Test) Instructions : The test contains 48 multiple choice questions, each question given four alternatives A,B,C,D. Choose the correction answer given ( ) Mark. I. 1) Length, breath of a rectangle are 40 cm, 30 cm respectively then, its area in sq.cm. (A) 1200 (B) 1000 (C) 1600 (D) 130 2) Area of a Rhombus is 96 sq.cm, One of its diagonal is 16 cm. the second diagonal in cm. (A) 10 (B) 11 (C) 12 (D) 13 3) In a square ABCD the diagonals AC, BD intersect at 0 Then AOB = (A) (B) 45 0 (C) 80 0 (D) ). The area of a parallelogram ABCD is 248 sq.cm and the diagonal BD is joined. The area of triangle ABD in sq.cm. (A) 122 (B) 124 (C) 126 (D) 129 5) The angles of a triangles are 50 0, 80 0, it is triangle (A) Equilateral triangle (B) Isosceles triangle (C) scalene triangle (D) None 6). Area of an equilateral triangle is 64 3 sq.cm, then what is its circumference (in c.m) (A) 45 (B) 47 (C) 48 (D) 42 7). The sides of triangle are 4cm, 5cm, 6cm. which type of triangle it is? (A) Isosceles right angled triangle (B) Equilateral triangle (C) Isosceles triangle (D) scalene triangle i

15 8). In a quadrilateral the angles in order are x 0, (x+10) 0, (x+20) 0 and (2x-30) 0, then the biggest angle is (A) 72 0 (B) (C) 82 0 (D)92 0 9). The diameter of a circle is equal to the side of a square, then the ratio of their areas is (A) 4: (B) 4 :4 (C) :4 (D) :4 10). What is the space between two concentric circles? (A) semi circle (B) Sector (C) Circum circle (D) Ring 11. The area of trapezium is 1 2 (a2 -b 2 ). It is parallel sides are a,b units, then the distance between them is units. (A) ab (B) a (C) a + b (D) a b b 12). The circumference of a semi circle is 144 cm. then its area (in sq.cm) is (A) 1100 (B) 1232 (C) 1280 (D) ). Area of right angle isosceles triangle is 32 sq.cm then, what is its side (in c.m) (A) 10 (B) 6 (C) 12 (D) 8 14).The sides of a right angle triangle are 3,4,5 c.m; the what is its area (in sq c.m) (A) 6 (B) 8 (C) 10 (D) 12 II 15). M = {The days of week} is an example of (A) Finite (B) Infinite (C) Singleton (D) Null 16). Express A B in venn diagram ii

16 17). Set of natural numbers is an example of (A) Finite set (B) Infinite set (C) Singleton set (D) Null set 18).The set, which is having the population of a state is an example of _ (A) Disjoint set (B) Proper sub set (C) Universal set D) Power set 19). There are no whole numbers between the whole numbers 2,3. It belongs to which set? (A) Singleton set (B) Null Set (C) Infinite Set (D) Disjoint Set 20). What we call each player in Indian cricket in set language (A) Element (B) Set form (C) Player (D) Union 21). 8 does not belong to the set of prime numbers P its symbolic form is (A) 8 P (B) 8 P (C) 8 P (D) 8 P 22). The number of elements of a set is called of the set (A) Class (B) Sub set (C) Cardinal Number D)Proper sub set 23). A={1,2,3}, Q={ } then intersection of these two sets is (A)A (B) A (C) A (D) 24). Smt Prathibha Patil belongs to women presidents set. In set language, it belongs to which set. (A) Null set (B) Infinite Set (C) Singleton Set (D) Proper sub set 25). If A={1,2,3,4} and B= {2,4,6} then find A B (A) {1,3,6} (B) {1,2,3,4} (C) {2,4,6} D) {1,3} 26). If a set has four elements, then its set has 16 elements (A) Power (B) Universal (C) Disjoint (D) Complement iii

17 27). How do you express one to one correspondence between the sets x= {1,2,3}, Y= {p,q,r} 28). Write A= {1,4,9,16,25} in set builder form. (A) A = {x 2 /x N and x > 6} (B) A = {x 2 /x N and x = 5} (C) A = {x 2 /x N and x > 8} (D) A = {x 2 /x N and x < 6} 29). Which of the following is not a set (A) All the students in your class (B) Buffalos in your village (C) Five good books in a school library (D) Letters in English alphabet 30). A= {Hyni, Prince, Ruhi, Tony}. B= {Tony, Jhony, Hyni, Moni} the set, which is formed with the common elements of Hyni, Toni of A and B, is (A) Intersection (B) Union (C) Complement set (D) Power se 31). S is the set of all vowels of English Alphabet. Write it the roaster form (A) S=(a,e,i,o,u) (B) S={a,e,i,o,u} (C) S= [a,e,i,o,u} (D)S= {A,E,I,O,U} 32). If A = {1,2,3,5}, B = {2,5,8}, A-B = {1,3}, A B= {1,3,8} then to find B-A the given data is (A) Not sufficient (C) Enough (B) More than sufficient (D)Can t Decide 33). A={m,a,t,e}, B= {d,a,t,e}, C= {a,t,e} and D= {f,a,t,e} which of the given sets are equivalent sets? (A) A,B,D (B) A,C,D (C) B,C,D D)A,C 34). P={a.t}, Q= {a,t,e}, R= {m,a,t,e}, P Q, Q R then P R follows which properties? (A) Associative B) Commutative (C)Transitive (D) Identity iv

18 35). A= {x/x is a letter in the word follow }; B= { x/x is a letter in the word flow } then what type of set is A,B? (A) Equal sets (C) Equivalent sets (B) Disjoint sets (D) Compliment set 36).The sets Boys and Girls of your class are an example of for which set (A) Universal set B)Power set (C) Equivalent set (D)Disjoint set 37). Observe the set P=( m,a,n) and correct it III 38). Observe the set Y= {t,e,a,c,h,e,r} and correct it 39). Draw the image of the following figure about the line given 40). Which of the following is an example for symmetry? (A) Butterfly (C) A person with one hand short (B) Caterpillar (D)A person with one leg short 41).The figure which coincides with its image on the other side of the line is (A) Point symmetry (B) Reflective symmetry (C) Asymmetric Figure (D) Axis of Symmetry 42). Point symmetry of a parallelogram? (A) Center (C) Point of intersection of diagonals B) Mid Point (D) No point symmetry v

19 43). Draw the image of the following figure about the line given 44). The line, above which the figure is symmetrical is known as (A)Symmetry (B)Asymmetry(C)Line of symmetry(d)point symmetry 45). Axis of symmetry of a figure divides that figure into how many equal parts. (A) 4 B) 5 (C) 3 (D) 2 46). To bring beauty to the things orderliness and evenness in their shape is called. (A) Access of symmetry (B) Line symmetry (C) Symmetry (D) Point symmetry 47). Which of the following does not have a line symmetry (A) (B) (C) (D) 48). Which of the following figure is Asymmetry (A) (B) (C) (D) vi

20 Final Test A : A,B,C,D ABCD AC, BD AOB? ABCD BD ABD X,( X 10),( X 20), 0 (2X 30) 4 : 4 : 4 : 4 : 4 i

21 (a 2 -b 2 )a,b ab a/b a + b a - b II. M= A B ii

22 P p 8 p 8 p 8 p A = {1,2,3} = { } A A A A = {1,2,3,4} B={2,4,6) {1,3,6} {1,2,3,4} {} {1,3} X = {1,2,3} Y= {p, q, r} A = {1,4,9,6,25} A = {X 2 /X N X>6} A = {X 2 /X N X = 5} A = {X 2 /X N X< 8} A = {X 2 /X N X < 6} S s =(a,e,i,o,u) s ={a,e,i,o,u} s ={a,i,o,u} {A,E,I,O,U) iii

23 A = {1,2,3,5}, B = {2,5,8}, A B = {1,3} A B = {1,3,8} B A A = {m,a,t,e}, B = {d,a,t,e}, C = {a,t,e} D = {f,a,t,e} A,B,D A,C,D B,C,D A,C P= {a,t}; Q= {a,t,e}; R= {m,a,t,e} P Q, Q R P R A = { x/x follow } B = { x/x flow } P = (m,a,n) Y = { t,e,a,c,h,e,r} III. iv

24 v

25 C PROBLEM SOLVING SKILL: SELF ASSESSMENT TOOL Problem solving scale :- Name: Date : Sex : Age : Grade or Class: (if you are a student) Directions : People respond to personal problems in different ways. The statements on this inventory deal with how people react to personal difficulties and problems in their day to day life. The term problems refers to personal problems that everyone experiences at times, such as depression, inability to get along with friends, etc., please respond to the items as honestly as possible so as to most accurately portray how you handle such personal problems. Your responses should reflect what you handle such personal problems. Your responses should reflect what you actually do to solve problems, not how you think you should solve them. When you read an item, ask yourself: Do I ever behave this way? Please answer every item. Read each statement and indicate the extent to which you agree or disagree with that statement, using the scale provided. Mark your responses by circling the number to the right of each statement. Completely Agree 1 Mostly Agree 2 Agree to some extent 3 To some extent not agree Mostly not Agree 5 Never Agree 6 4 i

26 1 2 3 When I have a problem, I think of as many possible ways to handle it as I can until I can t come up with any more ideas.. When confronted with a problem, I consistently examine my feelings to find out what is going on in a problem situation. Many of the problems I face are too complex for me to solve When solving a problem, I make decisions that I am happy with later After I solve a problem, I do not analyze what went right and what went wrong I am usually able to think of creative and effective alternatives to my problems After following a course of action to solve a problem, I compare the actual outcome with the one I had anticipated. When a solution to a problem has failed I do not examine why it didn t work When my first efforts to solve a problem fail, I become uneasy about my ability to handle the situation When confused about a problem, I don t clarify vague ideas or feelings by thinking of them n concrete terms. When making a decision, I compare alternatives and weigh the consequences of one against the other I generally act on the first idea that comes to mind in solving a problem ii

27 13 When confronted with a problem, I stop and think about it before deciding on a next step When considering solutions to a problem, I do not take the time to assess the potential success of each alternative... When I make plans to solve a problem, I am almost certain that I can make them work I try to predict the result of a particular course of action When trying to solve a problem, one strategy I often use is to think of past problems that have been similar Given enough time and effort, I believe I can solve most problems that confront me When faced with a novel situation, I have confidence that I can handle problems that my arise Even though I work on a problem, sometimes I feel like I m wandering and not getting down to the real issue.. When confronted with a problem, I usually first survey the situation to determine the relevant information.. I make snap judgments and later regret them iii

28 C i

29 ii

30 SPACE RELATIONS FORM A Do not open this booklet until you are told to do so. On your SEPARATE ANSWER SHEET, write your name, address, and other requested information in the proper spaces In the space after Form, write an A. Then wait for further instructions. DO NOT MAKE ANY MARKS IN THIS BOOKLET MANASAYAN 32 Netaji Subhash Marg New Delhi i

31 SPACE RELATIONS DIRECTIONS This test consists of forty patterns which can be folded into figures. For each pattern, five figures are shown. You are to decide which of figures can be made from the pattern shown. The pattern always shows the outside of the figure. Here is an example. EXAMPLE X Which of these five figures A, B, C, D, E can be made from the pattern in Example X? A and B certainly cannot be made; they are not the right shape. C and D are correct both in shape and size. You cannot make E from this pattern. - In the test there will always be a row of five figures for each pattern. - In every row there is at least one correct figure. - Usually more than one is correct. In fact, in some cases, all five by be correct. ii

32 Now look at the pattern for Example Y and the five choices for it. Note that when the pattern is folded, the figure must have two gray surface. One of these is a large surface which could be either the top or bottom of a box. The other is a small surface which would be one end of the box. Notice : all the boxes mode from this pattern are correct in shape, but the side which you see are - Figure A is correct. If the large gray surface is shown as the top, their the end surface of gray can be shown facing towards you. - Figure B is wrong. The long, narrow side is not gray in the pattern. - Figure C is correct. The two gray surfaces can both be hidden by placing the large gray surface at the bottom and the gray end to the back. - Figure D is wrong. The gray end is all, but there is no long gray side in the pattern. - Figure E is correct. One can show the box so that the large gray surface is at the bottom (as is was in C), but with the gray end showing at the front. iii

33 So, you seem there are three figures (A,C and E) which can be made from the pattern in Example Y, and two figures (B and D) which cannot be made from this pattern. Remember that the surface you see in the pattern always be the OUTSIDE surface of the completed figure. Now let s see how we mark our answer on the separate Answer Sheet. A sample is shown her. For Example X we found that only figures C and D could be made, so the circles under C and D opposite X are marked x. For Example Y. A is a correct figure, C is correct, and E is correct; sc opposite Y we have marked X s in the circles under A,C and E. X Y A B C D E A B C D E In taking the test: - Study each pattern. - Decide which of the figures can be made from the pattern. - Show your choices on the Answer Sheet by blackening in the little space under the letter which in the same as that of the figure you have chosen in the booklet. - If you decide a certain figure cannot be made from the Pattern, make no mark on the Answer Sheet. Do Not Write Anything in This Booklet Use Separate Answer Sheet DO NOT TURN THE PAGE UNTIL YOU ARE TOLD TO DO SO. iv

34 v

35 vi

36 vii

37 viii

38 ix

39 x

40 xi

41 xii

42 B x x i

43 ii

44 iii

45 iv

46 v

47 vi

48 vii

49 viii

50 ix

51 (A) Individual Information Please fill the following information : Name of the Student : Name of the School : Boy / Girl : Percentage of Mathematics : Urban School / Rural School : Educational Qualification : Mother : Father : Poor / Lower Middle / Upper Middle / Rich : Using Teaching Aids in Mathematics Teaching : Frequently/ /Rarely/ : Answer Sheet Instruction : Put a Mark in appropriate Box 1 A ` B C D 2. A B C D 3. A B C D 4. A B C D A B C D 8. A B C D i

52 A B C D A B C D ii

53 iii

54 A B C D 52. A B C D A B C D 56. A B C D iv

55 (B) Answer Sheet Name : School : Instruction : Put a Mark in appropriate Box 1 A ` B C D 2. A B C D 3. A B C D 4. A B C D A B C D 8. A B C D v

56 vi

57 vii

58 (C) ANSWER SHEET Name : School : Instruction : Put a Mark in appropriate Box Answer Q.No 1 1 Completely Agree 2 Mostly Agree 3 Agree to Some Extent 4 To Some Extent not Agree 5 Mostly Not Agree 6 Never Agree viii

59 ... ix