Gonit Vigyan

 

Mathematics Content (Q. 31 – 45)

Q31. In a meeting, $\frac{4}{25}$ of the members were female. What percent of the members was this?
(1) 40%
(2) 24%
(3) 16%
(4) 4%

Q32. A shop reduced its prices by 10%. What is the new price of an item which was previously sold for ₹ 500?
(1) 510
(2) 550
(3) 450
(4) 400

Q33. Given below is a data set of temperatures (in $^{\circ}C$): $-6, -8, -2, 3, 2, 0, 5, 4, 8$. What is the range of the data?
(1) $0^{\circ}C$
(2) $16^{\circ}C$
(3) $18^{\circ}C$
(4) $10^{\circ}C$

Q34. A coin is tossed 10 times and the outcomes are observed as: H, T, H, T, T, H, H, T, H, H (H is Head; T is Tail). What is the probability of getting Head?
(1) $\frac{3}{5}$
(2) $\frac{4}{5}$
(3) $\frac{2}{5}$
(4) $\frac{1}{5}$

Q35. The numerical expression $\frac{3}{7} + \left(\frac{-7}{8}\right) = \frac{25}{56}$ shows that—
(1) rational numbers are closed under addition
(2) rational numbers are closed under subtraction
(3) rational numbers are closed under multiplication
(4) rational numbers are closed under division

Q36. Which one of the following 3D shapes does not have a vertex?
(1) Pyramid
(2) Prism
(3) Cone
(4) Sphere

Q37. If $\left(\frac{5}{7}\right)^4 \times \left(\frac{5}{7}\right)^{-3} = \left(\frac{5}{7}\right)^{5x-2}$, then $x$ is—
(1) $\frac{1}{5}$
(2) $\frac{2}{5}$
(3) $\frac{3}{5}$
(4) $\frac{4}{5}$

Q38. Let $a, b, c$ be three rational numbers, where $a = \frac{3}{5}, b = \frac{2}{3}$ and $c = \frac{-5}{6}$. Which one of the following is true?
(1) $a + (b + c) = c + (a + b)$
(2) $a - (b - c) = c - (a - b)$
(3) $a \times (b + c) = b \times (a + c)$
(4) $a \div (b + c) = c \div (a + b)$

Q39. A geometric representation, showing the relationship between a whole and its part, is—
(1) histogram
(2) pie chart
(3) bar graph
(4) pictograph

Q40. If $q$ is the square of a natural number $p$, then $p$ is—
(1) the square of $q$
(2) the square root of $q$
(3) equal to $q$
(4) greater than $q$

Q41. The value of $\sqrt{91 + \sqrt{70 + \sqrt{121}}}$ is—
(1) 9
(2) 10
(3) 11
(4) 12

Q42. In a park, 784 plants are arranged so that the number of plants in a row is the same as the number of rows. The number of plants in each row is—
(1) 18
(2) 28
(3) 38
(4) 48

Q43. If two quantities $x$ and $y$ vary inversely with each other, then which one of the following is true?
(1) Ratio of their corresponding values remains constant.
(2) Product of their corresponding values remains constant.
(3) Summation of their corresponding values remains constant.
(4) Difference of their corresponding values remains constant.

Q44. Given $7y \times 6 = yyy$, then the value of $y$ is—
(1) 8
(2) 6
(3) 4
(4) 2

Q45. To fill a rectangular tank of area $700\, m^2$, $140\, m^3$ of water is required. What will be the height of the water level in the tank?
(1) 10 cm
(2) 20 cm
(3) 30 cm
(4) 40 cm

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Mathematics Pedagogy (Q. 46 – 60)

Q46. Which one of the following is the most suitable strategy to teach the skill of addition of money?
(1) Use of ICT
(2) Role play
(3) Use of models
(4) Doing lots of problems

Q47. After teaching the concept of multiplication to her class, a teacher asked her children to multiply 48 by 4. One of her students solved it orally as described. What can you say about his/her strategy of multiplication?
(1) The child used a wrong method to multiply.
(2) He/She has not understood the concept of multiplication.
(3) The given problem is a multiplication problem and not addition problem.
(4) He/She understood multiplication as repeated addition.

Q48. Which one of the following should be taken up as initial activity in introducing the concept of ‘time’ to young learners?
(1) Discussing about the prior experiences with phrases related to time
(2) Teaching children how to read time in clock
(3) Teaching children how to calculate elapsed time
(4) Conversion of time in different units

Q49. Which one of the following is not the purpose of assessment?
A. Monitoring student's growth
B. Making instructional decision
C. Evaluating the effectiveness of curriculum
D. Ranking the children based on performance

Select the correct answer using the code given below.
(1) A
(2) D
(3) B
(4) C

Q50. Which one of the following methods is most suitable for teaching mathematics at upper primary level?
(1) Demonstration method
(2) Lecture method
(3) Activity-based learning
(4) Problem-solving method

Q51. Which one of the following is most essential in learning mathematics at upper primary level?
(1) Solving a problem many times
(2) Exploring different ways of solving a problem
(3) Memorizing all formulas
(4) Copying correctly what teacher writes on the board

Q52. The strategy of questioning used in the mathematics class at upper primary level—
(1) should be discouraged
(2) makes the classroom noisy
(3) could create stress among children
(4) helps children to express their thoughts and think critically

Q53. A teacher has taught measurement of area to class VIII children, but many students are confused between units of area and volume. What could be the reason?
(1) The children did not know the use of units for area.
(2) The children have not memorized different units.
(3) Different units were introduced together without relating them to daily life.
(4) The concept of area is difficult for class VIII learners.

Q54. Which one of the following can be the most appropriate aim of encouraging mathematical communication in classroom?
(1) Use of precise mathematical language
(2) Helping fearful children interact
(3) Organizing debates
(4) Reciting theorems and formulas

Q55. The purpose of a diagnostic test in mathematics is—
(1) to know the gaps in children's understanding
(2) to give feedback to parents
(3) to fill progress reports
(4) to plan end-term question papers

Q56. Remedial teaching is helpful for—
(1) teaching the whole class
(2) recapitulating the lesson
(3) play-way method
(4) removing learning difficulties of weak students

Q57. Which one of the following is not a mathematical process?
(1) Visualization
(2) Memorization
(3) Estimation
(4) Measurement

Q58. “Errors play a crucial role in learning of mathematics.” This statement is—
(1) false, due to carelessness
(2) true, because errors reflect thinking
(3) false, mathematics is exact
(4) true, because errors show marks

Q59. While teaching ‘shapes’, a teacher can plan a trip to historical places, as—
A. it provides leisure time
B. improves communication skills
C. shapes are integral to architecture
D. trips are recommended by boards

Select the correct answer using the code given below.
(1) A and B
(2) C
(3) B and C
(4) A, C and D

Q60. A student was asked to calculate the surface area of a cube but calculated the volume. The reason(s) of error is/are—
A. the student finds the class boring
B. the student is not fit to study
C. the student does not understand surface area and volume
D. the student has understood the concepts

Select the correct answer using the code given below.
(1) C
(2) B and C
(3) D
(4) A and B

Solutions

Q31–Q45 (Mathematics Content)
Q31–(3), Q32–(3), Q33–(2), Q34–(1), Q35–(1), Q36–(4), Q37–(3), Q38–(1), Q39–(2), Q40–(2), Q41–(2), Q42–(2), Q43–(2), Q44–(3), Q45–(2)

Q46–Q60 (Mathematics Pedagogy)
Q46–(2), Q47–(4), Q48–(1), Q49–(2), Q50–(4), Q51–(2), Q52–(4), Q53–(3), Q54–(1), Q55–(1), Q56–(4), Q57–(2), Q58–(2), Q59–(2), Q60–(1)