HTET TGT Maths Mock Test - 7 - HTET MCQ

Learning can be enhanced if situations from the real world are brought into the class in which students interact with each other and the teacher facilitates. Children grasp easily when a teacher makes them understand the concepts by relating them to real-life experiences. In this way, they not only create interests in their subject but also retain concepts for a longer time.
Hence, the correct answer is, 'Situations from the real world are brought into the class in which students interact with each other and the teacher facilitates.'

The process of learning can take place everywhere. It is not limited to a particular place, it can take place in a formal setup or in the informal or non-formal setup. Non-formal setup does not require any curriculum, syllabus, etc whereas formal setup requires curriculum, syllabus, etc. Learnings in educational institutions are known as formal learning. Learning is a comprehensive, goal-oriented process.
Hence, the correct answer is, 'Educational institutions are the only place where learning takes place.'

A teacher having a democratic nature permits students to sit all over the class in which some sit together and discuss or do group reading. Some sit quietly and read themselves. If a parent does not like this behaviour of a teacher then they should show trust in the teacher and discuss the problem with the teacher. Maybe the teacher is doing this with positive hidden motives.
Hence, the correct answer is, 'Parents should show trust in the teacher and discuss the problem with the teacher.'

Assignments are the basis of academic and didactic interaction or communication between the distance learner and the distance teacher.

• Assignments enable the students to ensure that they have actually learned what they are expected to learn from their course materials.
• The actual teaching-learning takes place through assignments.
• The assignments, when handled properly, reinforce learning through quick communication and feedback from the teacher.
• The assignments provide for continuous assessment of learners.
• It is used to develop creativity among the students.
• Creativity involves thinking that aims at producing ideas or products that are relatively novel and that are, in some respect, compelling.
• They also provide an opportunity for the learner to improve himself in the light of the feedback as discussed earlier.
• Assignments support and facilitate student learning by enabling students to apply their knowledge and skills.

Thus, it is concluded that providing assignments may be used to develop creativity among the students.

सज्जन- के लिए सही संधि विच्छेद: सत्+जन

• सज्जन का संधि विच्छेद = सत् + जन, जिन व्यंजनों में परिवर्तन के कारण संधि है = त्/द् + ज = ज्ज
• सज्जन - सत् + जन

Key Pointsयदि दन्त्य स् या त् वर्ग से पहले या बाद में तालव्य ‘श’ या च वर्ग का कोई एक वर्ण आये तो दन्त्य ‘स’ का तालव्य ‘श’ में और त् वर्ग को च् वर्ग में बदल देते हैं।

• व्यंजन संधि के उदाहरण :-
  • सत् + जन = सज्जन
  • जगत् + जननी = जगज्जननी
  • उद् + ज्वल = उज्जवल

Additional Information

वचन की दृष्टि से शुद्ध वाक्य है- बालक पढ़ता है।

Key Pointsअन्य विकल्प

Additional Informationवचन की अशुद्धियों वाले कुछ अन्य वाक्य

पीयूष शब्द दूध का पर्यायवाची है।

पीयूष

• पुल्लिंग
  • अमृत, सुधा।

दूध का पर्यायवाची शब्द-

• दुग्ध, गोरस, क्षीर, दोहज, पय, पीयूष, स्तन्य।

पीयूष के पर्यायवाची-

• अमिय, अमी, अमृत, सुधा, सोम
• आबेहयात, देवान्न, देवाहार, जीवनोदक।

जल के पर्यायवाची-

• वारि, पानी, नीर, सलिल, तोय, उदक
• अंबु, जीवन, पय, अमृत, मेघपुष्प।

घृत का पर्यायवाची-

• घी, अमृत, नवनीत।

हलाहल का पर्यायवाची

• गरल, कालकूट, माहुर, विष, जहर

We can say that ,
The above given sentence is given in Passive Voice :-
You are supposed to make tea at eleven O’clock.
Hence , option C will be correct answer .

x : y = 75 : 100

Hence, Option C is correct.

If you fold the paper in upward direction from dotted line, the upper line of the figure will be near to middle line. So it will make s triangle. Please take a transparent paper and draw a similar figure and fold it.

The correct answer is 8th position.

Key Points

• Sirsa district occupies 8th position in population size during the 2011 census.

• In terms of density, Sirsa ranks at last position in the entire Haryana with a density of 303 as per sq km.
• The sex ratio of Sirsa district is 897 females per 1000 males.
• The district stands at 4th place amongst the 22 districts of the State. The Sex Ratio in rural is 898 and it is better than the urban Sex Ratio which is 896 during the 2011 Census.

The correct answer is Rakesh Singh.

Key Points

• Rakesh Koch -
  • He is a resident of Bahadurgarh, Haryana
  • He has been elected General Secretary of the Wrestling Association of Haryana.
  • He has been associated with sports for a long time and is also the director of the Model School located in Bahadurgarh.

Additional Information

• ​Santosh Sharma -
  • This is the head constable of Panipat Police.
  • He has recently brought laurels to the state of Haryana by winning the gold medal in the World Police Sports Competition.
• Preetpal Sangwan -
  • ​He is the Haryana police officer who has been awarded the Police Medal.

Hence, Option B is correct.

As 'Knowledge' is achieved by 'Reading' in the same way 'Experience' is achieved by 'Work'.

Initial area = L × B

New area = (100 + 20)% of L × (100 – 12.50)% of B = 1.05L × B

Hence, Option A is correct.

To prove DE || BC

i.e., ∠B ∠ADE .

In Δ ABC , we have

AB = AC

∠B = ∠C ...(1)

In the cyclic quadrilateral CBDE , side BD is produced to A. We know that an exterior angle of cyclic quadrilateral is equal to interior opposite angle of cyclic quadrilateral.

∠ADE = ∠C ...(2)

From (1) and (2), we get

∠B = ∠ADE .

Hence, DE || BC

Probability of getting a number greater than 2 is
number greater than 2 = 4
total outcomes = 6
so, 4/6
=2/3

In the given question we have  a=3,b=1 the given equation is 2a + 3b=m

By substituting the values of a,b in the given  equation, we get ,

 2 x 3 + 3 x 1 = m 

6 + 3 = m

9 = m 

So option A is the correct answer. 

Thinking is the basis of all cognitive activities or processes and is unique to human beings. It involves the manipulation and analysis of information received from the environment. There are different kinds of thinking styles which include creative, logical, concrete thinking, etc.

Key Points Critical thinking is a process that challenges an individual to use reflective, reasonable, rational thinking to gather, interpret, and evaluate information in order to derive a judgment.

Few methods that a teacher can think of in order to inculcate the skill of critical thinking in middle school students:

• Engage students in problem-solving situations by providing problems that have multiple solutions.
• Do reward students who come up with innovative ideas.
• Develop the quality of persistence. Do not get bored while solving problems.
• Asking Questions to the students related to the topic so that they can reply by thinking divergently in a critical way.
• Develop a risk-taking ability and engage in creative activities.
• Avoid the rigid and fixed patterns of solving problems.
• Promote interaction with teachers and among peers.

Thus we can say that critical thinking in middle school students can be enhanced by Asking students to discuss topics in groups and come up with questions.

Hint

• The lecture method of teaching can never promote their thinking, it makes them bored and may impact their learning in a negative way.
• Discussions among the students provide many opportunities to learn the concept in a different way and also give they the can analyze the thoughts of other students so that we can say that discussion can also improve their critical thinking.
• Learning by textbooks, and by memorization never promotes critical thinking of the students.

a+b+c = 180
50+b+c= 180
b+c = 130 ............(1)
divide equation (1) by 2 
1/2(b+c) = 65...........(2)
now in triangle obc
o+1/2(b+c) = 180
o+65= 180 ( from (2))
o= 180-65= 115 

An give, also known as a cumulative histogram, is a graph that is used to determine the number of data points that are equal to or below a certain value in a data set.It is a plot of cumulative values, rather than a plot of the values themselves. Median is determined by finding the (n/2)th value and then dropping it to the x axis.

The second tower is smaller than the first tower so let the height of the first tower is h So a part of it is equal to 60m so the remaining height is h-60 m
Tan 30=perpendicular/base

Here Side of square ABCD = AB = 3 x diameter of circular design
⇒ AB = 3 x (2 x 7) = 42 cm
∴ Area of square = 42 x 42 = 1764 cm²
And Area of one circular design   
And Area of one circular design
∴ Area of 9 circular designs = 154 x 9 = 1386 sq. cm
∴ Area of remaining portion of handkerchief = 1764 - 1386 = 378 sq. cm

cos²θ = 3(cot²θ-cos²θ)
4cos²θ = 3cot²θ
4=3(1/sin²θ)
sin²θ = 3/4
sinθ = √3/2
θ = 60

= (x + 5) × 2 = 2(x + 5) km

As, discriminant (b² - 4ac) of the equation is negative. Therefore, no real roots.

Mathematics focuses on developing an understanding of numbers, shapes, and patterns by using the techniques of problem-solving and logical reasoning.

• The mathematical curriculum treats mathematics both as a tool for practical utility as well as a discipline that develops reasoning and analytical abilities.

Key Points

• The teacher should adopt teaching methods that encourage the students to actively participate in the learning process and build the concepts through direct experiences to facilitate the permanent learning.
• Firstly, he tries to know the best ways with which individuals learn in class so that he can use those methods and techniques frequently in the class to stimulate the interest of students in learning.
• Such as there should be wide use of the play-way method in teaching mathematics at the primary level as they are unable to concentrate for a longer period. Also, they enjoy playing with peers and in play way method, they can learn and enjoy as well.
• Collaborative learning is a synchronized process in which students attempt to learn something together. They work as a team that develops the team spirit, feeling of collaboration, and make them good communicators as well.
• The use of a collaborative learning approach should be promoted in mathematics class that will help a teacher to develop social interdependence and participation among students and will help in removing the communication gap among students.
• It is very important for a teacher to assess the learning of students time-to-time so that the learning process can be modified further to make the learning a fun experience.
• Assessment is mainly to identify the areas for improvement in the learning process and it can be used to determine how students are learning, what's difficulties they are facing, so that if there a need, the teacher can adjust their teaching methodologies.
• The teacher should analyze the output of the assessment to know where students need remedy and where they achieved a certain set of skills and knowledge, also to know if students are understanding his teaching strategies or he needs to change or modify his teaching styles.

Hint

• The crude methods of assessment are the simple, basic, and rough methods of assessment that are used to get a rough idea about the knowledge of students.
• It encourages the perception of mathematics as mechanical computation and emphasizes upon memorization of formulas.

Hence, it is concluded that crude methods of assessment are least likely to impact teaching-learning in mathematics.

a10 = a + 9d

= 5 + 9(3) = 5 + 27 = 32