Let x be the angle which is equal to its complement and y be the angle which is equal to its supplement. Then, 2x + 3y is equal to

• $135°$

• $270°$

• $360°$

• $180°$

ABCD is a quadrilateral in which BD = 40 cm. The lengths of the perpendiculars drawn from the opposite vertices on BD are 16 cm and 12 cm. The area of the quadrilateral (in cm)

• 560

• 580

• 600

• 500

A square and a circle are formed using pieces of wire oflength 5024 cm each. The ratio of the area of the square to that of the circle is

• $4 : \mathrm{\pi }$

• $\mathrm{\pi } : 8$

• $8 :\hspace{0.17em}\mathrm{\pi }$

• $\mathrm{\pi } : 4$

Anisha and Amit study in Class VIL Anisha told Amit that if the marks in Mathematics of each student in the class are increased by 5, the average would go up by 5. She further says that it is true for all numbers. Amit does not agree and Anisha proves it by taking the case n, instead of 5. Anisha is using

• deductive logic

• common sense

• estimation

• inductive logic

Using technology based games involving factorization of numbers or formation of new shapes by joining 2D shapes, etc

• enhances students' ability to understand the concepts better as they are able to explore, observe and infer at their own pace

• helps teacher to assess students' performance in Mathematics

• helps teacher to manage students in Mathematics laboratory

• enhances students' numeracy skills and computational skills

Writing proofs in geometry implies

• argument or justification of statements

• description of a geometrical problem

• steps of drawing a figure

• two-column table of axioms and deductions

17.

"Two complementary angles are in the ratio 2 : 3. Find these angles." The above problem from NCERT textbook of Class VII refers to

• lower order thinking as it is based on using the information in concrete situation

• higher order thinking as it demands the interpretation of given information, its analysis and use in getting the desired information

• higher order thinking as it demands construction of a figure using given information

• lower order thinking as it is based on recalling information

Consider the following statement "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram." This statement is a/an

• axiom

• proposition

• definition

• theorem

In NCERT exemplar book for Class VIII at the end of Unit 5, Understanding quadrilaterals and practical geometry', lots of activities like constructing tessellation, constructing tangrams, etc., are given. One of the objectives of such tasks is to help

• kinesthetic learners only to improve their visual thinking skills

• auditory learners only to improve their creative skills

• all learners with different learning styles and to enhance spatial orientation

• visual learners only to improve their analytical skills

Which one of the following activities is not appropriate for 'data representation and data interpretation'?

• Survey

• Debate

• Newspaper report

• Project