21.

The ratio of the areas of two equilateral triangles is 16 : 9. If the perimeter of the smaller triangle is 63 cm, then how much larger is a side of the larger triangle than a side of the smaller triangle ?

• 3cm

• 7cm

• 4cm

• 5cm

The area of a triangle is equal to the area of a circle whose perimeter is 6$\mathrm{\pi }$ cm. If the base of the triangle is 8 cm, then its corresponding height (in cm)

• $\mathrm{\pi }$

• 2.25

• 2

• 2.25$\mathrm{\pi }$

The mean of mode, median and range of the data 2, 1, 2, 3, 3, 6, 4, 8, 14, 9, 4, 8, 4 is

• 4

• 9

• 6

• 7

Neeta a Class VII Mathematics teacher, assigns a lot of survey-based projects to Mathematics classrooms. The purpose of such activity is

A. to promote problem-solving skills.
B. to give an opportunity to students to
collect authentic data.
C. to break the monotony of the classroom.
D. to use it as an alternate assessment.
Which of the above purposes are true?

• A and B

• A, B and C

• A and C

• A, B and D

'Problem posing' in Mathematics means

• raising doubts in the class

• inability to solve problems

• solving problems

• creating problems from the content

Which of the following is not a contributing factor responsible for Mathematics anxiety?

• Gender

• Nature of subject

• Examination system

• Curriculum

$\mathrm{The} \mathrm{reciprocal} \mathrm{of} \left[{\left(\frac{3}{8}\right)}^{ - 2} \times {\left(\frac{ - 4}{5}\right)}^{ - 3}\right] \mathrm{is}$

• $\frac{ - 9}{125}$

• ${\left(\frac{8}{3}\right)}^2 \times {\left(\frac{5}{ - 4}\right)}^3$

• $\frac{125}{9}$

• $\frac{9}{125}$

$\mathrm{If}({13}^2 - 5^2{)}^{3/2} = 6^3 \times \mathrm{A}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \mathrm{A} \mathrm{is}$

• 2

• 2⁴

• 2²

• 2³

Which of the following terms in mathematics is defined?

• Line

• Point

• Diagonal of a quadrilateral

• Plane

Which of the following is not an important aspect in 'algebra' ?

• Measurement

• Visualisation

• Transposition

• Generalisation