PART II
MATHEMATICS AND SCIENCE
Directions: Answer the following questions by selecting the most appropriate option.
31. Natural numbers 4 to 15 are written on different slips (one number on one slip), kept in a box and mixed well. Renu picks up one slip from the box without looking into it. What is the probability that this slip bears a prime number?
(a) 3/11
(b) 1/3
(c) 5/12
(d) 2/5
32. A sum of money amounts to Rs. 4,818 after 3 years and Rs. 7,227 after 6 years on compound interest. The sum is:
(a) Rs. 2,490
(b) Rs. 3,122
(c) Rs. 3,212
(d) Rs. 2,409
33. If the weight of 18 sheets of paper is 50 grams, how many sheets of the same paper will weight 3 3/4 kg?
(a) 1314
(b) 1386
(c) 1836
(d) 1350
34. If (3x-2)/3 + (2x+3)/2 = x + (7/6), then the value of (5x-2)/4 is:
(a) -1/3
(b) 1/4
(c) -1/12
(d) 1/12
35. If 4x2 + 12xy – 8x + 9y2 – 12y = (ax+ by) (ax + by – 4), then the value of a2 + b2 is:
(a) 10
(b) 13
(c) 25
(d) 5
36. In the product of (5x + 2) and (2x2 – 3x + 5), the sum of the coefficients of x2 and x is:
(a) 8
(b) 9
(c) –8
(d) –9
37. The internal base of a rectangular box is 15 cm long and 12 (1/2) cm wide and its height is 7 (1/2) cm. The box is filled with cubes each of side 2(1/2) cm. The number of cubes will be:
(a) 60
(b) 90
(c) 120
(d) 45
38. The perimeter of a trapezium is 58 cm and sum of its nonparallel sides is 20 cm. If its area is 152 cm2, then the distance between the parallel sides, in cms, is:
(a) 8
(b) 9.8
(c) 15.2
(d) 6
39. The measure of each interior angle of a regular convex polygon is 156°. The number of sides of the polygon is:
(a) 12
(b) 10
(c) 8
(d) 15
40. If the number of sides of a regular polygon is ‘n’, then the number of lines of symmetry is equal to:
(a) n2
(b) 2n
(c) n
(d) n/2
41. The sides of a triangle are 6.5 cm, 10 cm and x cm, where x is a positive number. What is the smallest possible value of X among the following?
(a) 2.8
(b) 3.5
(c) 4
(d) 4.5
42. Chhaya simplified the given rational number -25/-30 = - 5/6
This error can be considered as:
(a) conceptual error
(b) procedural error
(c) error due to wrong interpretation of problem
(d) careless error
43. ‘Data Handling’ at upper primary stage focuses on:
(a) data interpretation only
(b) data organization only
(c) techniques of data collection
(d) data collection, organization and interpretation
44. Which one of the following is not a Problem Solving Strategy in Mathematics?
(a) Drawing
(b) Solving backwards
(c) Rote learning
(d) Trial and Error
45. According to Piaget, when the child is at formal operational stage, it is appropriate to introduce:
(a) Data handling
(b) Numbers
(c) Geometry
(d) Ratio and Proportion
46. Read the following problem given in a textbook for class VII: “A map is given with a scale of 2 cm = 1000 km. What is the actual distance between two places, in kms, if the distance on the map is 2.5 cm? This problem is:
(a) Investigatory in nature.
(b) based on higher order thinking skills.
(c) to enhance problem solving skills.
(d) Interdisciplinary in nature.
47. Which one of the following is not a Mathematical process?
(a) Estimation
(b) Memorisation
(c) Measurement
(d) Visualization
48. According to NCF 2005, school Mathematics takes place in a situation where:
(a) children are forced to learn all concepts by daily practice.
(b) children are listeners and the teacher is an active narrator.
(c) children are involved in chorus drill of formulae and pressure of performance in examination.
(d) mathematics is part of children’s life experience.
49. In class VI, teacher gave a topic for debate as Formative Assessment (FA) task.“Hindu-Arabic numerals are more powerful than Roman Numerals.”Objective of this FA activity is to assess:
(a) Analysis
(b) Creativity
(c) Understanding
(d) Knowledge
50. In a Mathematics classroom, emphasis is placed on:
(a) mathematical content, process and reasoning
(b) problem solving strategies
(c) mathematical algorithms and processes
(d) mathematical content
51. A teacher gives the following problem related to ‘discount’ to the students for solving. “The Marked Prices (M.P.) of a shirt and sweater are Rs. 200 and Rs. 300 respectively, and the discounts on the marked prices of shirt and sweater are 20% and 12% respectively. While preparing the bill, the shopkeeper interchanged the discounts on these items by mistake. On getting the bill, Hamida noticed the mistake and paid the actual amount to the shopkeeper. How much money did Hamida pay to the shopkeeper?” What value does the teacher try to promote through this problem?
(a) Honesty
(b) Co-operation
(c) Sympathy
(d) Compassion
52. The difference between the greatest and smallest fraction amongst 6/7, 8/9, 9/10, 7/8 is:
(a) 1/56
(b) 1/72
(c) 2/63
(d) 3/70
53. The additive inverse of S, where S = l – 2 + 3 – 4 + 5 – 6 + 7 – 8 + ........... + 49 – 50, is:
(a) 25
(b) –25
(c) 1
(d) 0
54. If a = 3129 × 5128 x 722, b = 3128 × 5129 × 721 c = 3127 × 5129 × 723 and d = 3127 × 5128 × 724, then H.C.F. of a, b, c and d is:
(a) 3128 × 5128 × 721
(b) 3128 × 5129 × 721
(c) 3127 × 5128 × 721
(d) 3127 × 5128 × 722
55. The value of 3√-2300 × 3√5290 is:
(a) – 529
(b) – 270
(c) 230
(d) – 230
56. The value of (2a)bc /(5b)bc where a = 2, b = 3 and c = 0, is:
(a) 0
(b) –1
(c) 2/5
(d) 1
57. The value of 4 + (44/10) + (404/100) + (444/1000) + 4/10,000 is:
(a) 12.8944
(b) 12.8844
(c) 12.8804
(d) 12.8224
58. The smallest value of ‘y’ in the number 9y8071 so that it is divisible by 11 is:
(a) 0
(b) 2
(c) 3
(d) 1
59. (14.96 × 1010) – (3.84 × 108) is expressed in standard form as:
(a) 14.9216 × 1010
(b) 1492.16 × 108
(c) 1.49216 × 1011
(d) 14921.6 × 109
60. The sum of mean, mode and median of the data 6,3,9, 5,1,2,3,6,5,1,3 is:
(a) 11
(b) 12
(c) 13
(d) 10
61. Match the organisms in Column - A with their actions in Column - B:
Column - A Column - B
i. Lactobacillus a. Nitrogen Fixation
ii. Protozoan b. AIDS
iii. Rhizobium c. Malaria
iv. Virus d. Curd formation
The correct matching is:
i ii iii iv
(a) d a b c
(b) a b c d
(c) a d c b
(d) d c a b
62. Select the correct statement from among the following.
(a) Plants can carry out photosynthesis even without chlorophyll.
(b) Plants with green leaves only carry out photosynthesis.
(c) Photosynthesis takes place only in leaves.
(d) Irrespective of colour, all leaves carry out photosynthesis.
63. Reema tells her friend that Ladyfinger is a fruit. Her friend Shahana disagrees with her. Which one of the following statements is true?
(a) Ladyfinger is eaten in cooked form, hence it is a vegetable.
(b) Ladyfinger has seeds, thus it is a fruit.
(c) Ladyfinger has seeds, thus it is a vegetable.
(d) Ladyfinger is a vegetable, hence it cannot be a fruit.
64. Which hormone in our body helps us to adjust to stress when we are angry, embarrassed or worried?
(a) Adrenaline
(b) Insulin
(c) Estrogen
(d) Thyroxine
65. Match the edible parts of Plants in Column - I with those in Column - II
Column - I Column – II
i. Root a. Groundnut
ii. Stem b. Apple
iii. Seed c. Sugarcane
iv. Fruit d. Carrot
The given choices are:
i ii iii iv
(a) b a d c
(b) a d c b
(c) c a d a
(d) d c a b
66. Which one of the following represents a group of human diseases caused by virus?
(a) Chickenpox, Malaria, Hepatitis-A
(b) Measles, Polio, Typhoid
(c) Measles, Typhoid, Tuberculosis
(d) Measles, Chickenpox, Hepatitis-A
67. Which one of the following represents a group of autotrophs?
(a) Algae, Cuscuta (Dodder), Banana, Mango
(b) Spinach, Mushroom, Tomato, Yeast
(c) Tulsi, Algae, Cuscuta (Dodder), Mushroom
(d) Algae, Spinach, Tomato, Banana
68. Human Nutrition includes nutrient requirement, mode of intake of food and its utilization in the body occuring in various steps which are:
A. Absorption
B. Egestion
C. Assimilation
D. Ingestion
E. Digestion
Arrange these steps in sequence as they occur inside the body.
(a) D, E, A, C, B
(b) E, D, C, A, B
(c) D, A, B, C, E
(d) A, B, C, D, E
69. Which one of the following is not a conductor of electricity?
(a) Lime juice
(b) Salt water
(c) Distilled water
(d) Vinegar
70. Medium A is optically denser than Medium B. Which one of the following statements is true?
(a) Speed of light is more in medium B than in medium A.
(b) Speed of light is same in both A and B.
(c) Cannot be compared.
(d) Speed of light is more in medium A than in medium B.
71. We are not crushed under the weight of atmosphere, because:
(a) the pressure inside our body is more than atmospheric pressure and cancels the pressure from outside.
(b) the pressure inside our body is less than atmospheric pressure.
(c) the pressure inside our body is equal to the atmospheric pressure and cancels the pressure from outside.
(d) the pressure inside our body is more than atmospheric pressure.
72. A block of iron dropped in a vessel of water, sinks to the bottom. This is because:
(a) the weight of the water displaced by the block is less than the weight of the block.
(b) the weight of the block is less than the weight of the water displaced by the block.
(c) the density of water is more than the density of the block.
(d) the vessel is not deep enough to allow the block to float.
73. Which one of following statements is incorrect?
(a) A whistle has a high frequency and therefore it produces a sound of higher pitch.
(b) Generally the voice of a man is shriller than that of a woman.
(c) A bird makes a high pitched sound whereas a lion makes a low-pitched roar.
(d) A drum vibrates with a low frequency, therefore it produces a low pitched sound.
74. There are two planets in our solar system which rotate from east to west. These planets are:
(a) Venus and Uranus
(b) Mercury and Venus
(c) Uranus and Neptune
(d) Mercury and Uranus
75. The major excretory product in human beings is:
(a) Ammonia
(b) Uric acid
(c) Ammonium chloride
(d) Urea
76. Which of the following process processes/ destroy/ destroys the magnetic properties of a bar magnet?
A. Cutting into two pieces
B. Heating
C. Beating
D. Sealing
(a) B and C
(b) A, B and C
(c) A and D
(d) Only A
77. An eighth class student makes the statement: "Heavy objects sink in water and light objects float." How is the science teacher of the VIII class best advised to react?
(a) Explain to the child that it is not the weight but the density of an object that determines whether it is going to sink or float.
(b) Present counter examples and arrange materials of different shapes, sizes and weights for the child to investigate.
(c) Explain that heavy and light are relative terms.
(d) Accept the statement as it indicates child's ideas and needs to be respected.
78. Which one among the following situations gives the students, the best opportunity of 'discovery learning'?
(a) Elaborated and detailed session of programmed instruction on the topic of "germination of seed".
(b) Encouraging students to investigate factors affecting germination through experimentation.
(c) Instructing students through team teaching on the topic of 'components of food'.
(d) Students being first shown the demonstration of germination of seed followed by a detailed explanation.
79. A teacher places a lighted candle on the table in the classroom. He later covers it with a jar.
A. The candle stops burning after some time.
B. Air is required for keeping the candle burning.
C. Oxygen is required for keeping the candle burning.
Of the above three statements:
(a) Statements A and B are observations.
(b) All the statements are observations.
(c) All the statements are inferences.
(d) Only statement A is an observation.
80. Which one among the following questions would be an 'open ended' question?
(a) What would happen if force of friction ceased to exist?
(b) Why is it easier to roll a barrel than to slide it on a flat surface?
(c) How do banked curves on roads prevent skidding?
(d) Why do we slip on a banana peel?
81. Which one of the following statements is true about the 'laws' and 'theories' in science?
(a) Theories become laws when validated.
(b) 'Theories' are found in biological sciences only and 'Laws' are found in physical sciences only.
(c) Theories and laws are the same and perform the same function except that laws are briefer form of theories.
(d) Laws are generalized descriptions of the relationships among observable phenomena and theories are explanations for the observable phenomena.
82. A science teacher wishes to assess her students on different process skills. Which one among the following tools would be the most appropriate for her purpose?
(a) Questionnaire
(b) Observation schedule
(c) Paper-pencil test
(d) Interview
83. Which one of the following should not be an aim of science education at upper primary level?
(a) Nurturing the curiosity and cultivation of scientific temper.
(b) Inculcating values.
(c) Presenting facts of science to the learners.
(d) Relating science education to everyday experiences of learners.
84. How could learning be made more meaningful for students of class VII by the teacher while teaching the topic 'Save Water'?
(a) Asking students to write an essay.
(b) Asking students to interview people in their colony about water consumption and carry out 'Water Audit'.
(c) Conducting a quiz competition.
(d) Asking students to design posters.
85. A teacher before beginning to teach 'digestion' to class VI students provides them with the outline diagram of a human body and asks them to draw all parts, through which they think the food would travel from mouth when they eat. What could be the teacher's purpose of asking this question?
(a) To judge students' understading of the digestive system and grade them accordingly.
(b) To investigate students' prior ideas related to human body and digestion so that future teaching learning sessions can be accordingly planned.
(c) To find out which students have read the topic in advance and come prepared for the class and grade them accordingly.
(d) To evaluate students' drawing skills as drawing diagrams is an important skill in life sciences.
86. For an effective discussion in class VII on the topic, "Why smoke rises up?" a science teacher should:
A. discourage questions during discussion.
B. provide a common platform to the learners.
C. acknowledge learners' responses to sustain their interest.
D. summarise and assess the learner's ideas at the end of discussion.
(a) B, C and D
(b) D only
(c) C and D
(d) A and B
87. You have two test tubes 'A' and 'B'. Test tube 'A' contains paste of turmeric whereas test tube 'B" contains aqueous solution of phenolphthalein. On adding a few drops of dilute hydrochloric acid to these test tubes the contents of:
(a) 'A' would remain yellow while those of 'B' would remain colourless.
(b) 'A' and 'B' both would appear red.
(c) 'A' would appear red while those of 'B' would remain colourless.
(d) 'A' would remain yellow while those of 'B' would appear pink.
88. Anita prepared a fresh solution of sodium hydroxide in a test tube. She dropped a small piece of aluminium foil into it and then brought a burning matchstick near the mouth of the test tube. She hears a pop sound. The pop sound indicates the presence of:
(a) Oxygen gas
(b) Hydrogen gas
(c) Aluminium gas
(d) Water gas
89. Which one of the following takes place when water transforms from liquid to gaseous phase?
(a) Structure of the particles change.
(b) Distance between the particles change.
(c) The colour of the particles change.
(d) Size of the particles change.
90. Which fuel has the highest calorific value from among the following?
(a) Petrol
(b) Diesel
(c) Hydrogen
(d) Coal
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