|Mathematics, Science and Pedagogy MCQ Questions|
Directions (Q. 1 – 60): Answer the following questions by selecting the most appropriate option.
Q1. If 754300 = 7.543 × 10 x, the value of x will be
Q2. The product of two natural numbers is 30. The smallest possible sum of these numbers is
Q3. The LCM of the two numbers is 144. The numbers are in the ratio 2:3. The sum of the numbers is
Q4. Subtract 9a²b²c+5ab²-3c2 from 17a²b²c-7ab² +9c2
(b) 8a²b²c-12ab² +6c2
(d) 8a²b²c-2ab2 +6c2
Q5. Factorise x2-9x-10.
(a) (x – 10) (x + 1)
(b) (x – 10) (x – 1)
(c) (x +10)(x+1)
(d) (x+5) (x-2)
Q6. Find the remainder on dividing p(x) = 4x4 + 2x2 9x + 7 by x + 3.
Q7. Find the HCF of (x – 5)2 and x2 – 25.
(a) (X – 5)2
(c) (X – 5)
(d) (X + 5)
Q8. What is the order of symmetry of a square?
Q9. Which of the following has an infinite order of symmetry?
(c) Equilateral triangle
Q10. The mean of 5 observations is 51. The mean of the first two observations is 38 and that of the last two observations is 25. What is the middle observation?
Q41. Reenu has 65, 75 and 85 marks in three English tests, respectively. How many marks must she obtain in the next test to have an average of exactly 75 for the four tests?
Q12. If the median of 26, 29, x, x + 1, 39 and 59 is 25.5, find the value of x.
Q13. A tank 12 m long, 13 m wide and 0.5 m deep is dug in a field that is 25 m long and 15 m wide. If the earth dug out is evenly spread out over the field, the rise in the level of the field will be
(a) 18 cm
(b) 3.6 cm
(c) 3.6 m
(d) 36 cm
Q14. The perimeter of one face of a cube is 96 m. The volume of the cube will be
(a) 13248 m
(b) 13428 m
(c) 13842 m
(d) 13824 m
Q15. The edges of a cuboid are in the ratio of 2:5:7 and its surface area is 472 m2. Then, the volume of the cuboid is
(a) 440 m3
(b) 724 m3
(c) 247 m3
(d) 560 m3
Q16. The number 0.00009753 is expressed in the standard form as
(a) 9.753 x 10.5
(b) 9753 x 108
(c) 9.753 x 108
(d) 9753 x 105
Q17. The smallest number greater than 3, which when divided by 4, 5 and 6 leaves the same remainder 3, is
Q19. The LCM of the two numbers is 12, while their HCF is 2. If the sum of the numbers is 10, find the difference.
Q20. The difference between the HCF and LCM of 12, 24 and 30 is
Q21. “Mathematics puzzles‘ are most useful to
(a) Identify brilliant students of the class
(b) Provide interesting diversion to students
(c) Test problem-solving skills
(d) Promote problem-solving skills in students
Q32. Which of the following is the most necessary attribute for learning the language of Mathematics?
(a) Knowledge of the natural language
(b) Symbols and notations of mathematics
(c) Usage of the mathematical processes
(d) Knowledge of the English language
Q23. Which of the following processes is responsible for creating fear and anxiety in the students learning mathematics?
(a) Visualisation and representation
(b) Mathematical communications
(c) Estimation of quantities
(d) Memorisation of important concepts
Q24. The main goal of mathematics education is to
(a) Help the students to understand mathematics
(b) Develop capabilities useful for life
(c) Develop children’s abilities for mathematisation
(d) Formulate theorems of geometry
Q25. What is the meaning of the term ‘tyranny of the right answer‘?
(a) Putting the students under pressure to compare different methods of solving a problem
(b) Applying one algorithm that has been taught and getting that ‘one right answer
(c) Presenting too many ways to solve a problem and confusing the students
(d) Giving the students too much freedom to apply their mind
Q26. Which question can be answered with certainty after the evaluation of the course is completed?
(a) How to teach?
(b) Why to teach?
(c) What has been taught?
(d) What has been achieved?
Q27. Which of the following statements is incorrect?
(a) There are many ways of solving a problem.
(b) There are many procedures for computing a quantity
(c) Every problem in mathematics has only one specific algorithm to solve it.
(d) There are many ways of proving or presenting an argument.
Q28. Communication in a mathematics class refers to developing the ability to
(a) Give prompt response to questions asked in the class
(b) Contradict the views of others on problems of mathematics
(c) Organise, consolidate and express mathematical thinking
(d) Interpret data by looking at bar graphs
Q29. What is regarded as the most important part of a mathematics teacher’s job?
(a) Covering all the topics mentioned in the curriculum
(b) Understanding the thinking of the children
(c) Instructional planning
(d) Both (b) and (c)
Q30. A teacher is observing students working in groups. Her observation is focused on collaboration and cooperation in the group, the concentration and interest of each student and the participation of the individual students in the activity. Through this activity, she is trying to
(a) Do summative assessment of the students
(b) Do a formative assessment of the students
(c) Give training to the students to work in groups
(d) Give training to the students in life skills