KTET Paper 2: Science and Mathematics Test - 1 - KTET MCQ

Calculation:

Let the unknown number be x.
⇒ 140 − 3 × 8 + 4 = x
⇒ 140 - 24 + 4 = x
⇒ x = 140 - 24 + 4
⇒ x = 144 - 24 = 120
∴ (560/4) − 3 × 8 + 3√64 = 120.

Evaluation is undertaken to find out "how" a child is learning and "how" learning can be improved rather than "what" he has learned. The primary purpose of the evaluation is to find out the strength and weaknesses and making improvements. 

• For evaluation, various modern techniques are being used in the teaching-learning process by the teacher such as questionnaires, personality tests, achievement tests, aptitude tests, rating scales, etc.​ 
• Mathematics is the study of patterns, numbers, geometrical objects, data, and information. It deals with data analysis, integration of various fields of knowledge, involves proofs, deductive and inductive reasoning, and generalizations.
• The teacher while asking questions in the mathematics classroom should focus more on providing practical exercises and abstract knowledge to students to foster their individualized discovery-oriented learning.

The square of a negative number is positive.
A negative number is always lesser than a positive number.
Thus, -3/4 and -20 will be lesser than their squares.
The square of a positive number greater than 1 will be greater than the number.
Thus, (10)² = 100 > 10
Now, a square of a positive number lesser than 1 will be lesser than the number.
Thus, 1/2 > (1/2)² = 1/4
Hence, option (1) is correct.

Number of atoms = Given volume/Volume given at STP x 6.023 x 10²³
1 dm³ = 1 L
or 224 dm³ = 224 L
Number of atoms = 224/22.4 x 6.023 x 10²³
= 6.023 x 10²⁴

[(25)^a]^(bc) / [(5)^ab]^c = 1
⇒ [(25)^a]^(bc) =  [(5)^ab]^c
⇒ 25^(abc) = 5^abc
⇒ 25^6b = 5^6b
⇒ 5^6b = 1
By comparing Powers 5^6b = 5⁰, 6b = 0
Hence, b =0
5^(a(b+c)) / 5^(a+2) = 5^{2(0 + 3)}/ 5^{(2 + 2)}
= 5^6/ 5⁴ = 5²

The sequence in this series is:
0 + 1 + 2 = 3
1 + 2 + 3 = 6
2 + 3 + 6 = 11
3 + 6 + 11 = 20
6 + 11 + 20 = 37

As the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides, only 4 can satisfy this property.

Given: 
On dividing numerator and denominator by cos, we get
 =  = 

Starfish feed on animals covered by hard shells of calcium carbonate. After opening the shell, the starfish pops out its stomach through its mouth to eat the soft animal inside the shell. The stomach then goes back into the body and the food is slowly digested.

Median:
Case 1: If the number of observations (n) is even

Case 2: If the number of observations (n) is odd

Mode: The mode is the value that appears most frequently in a data set.
Calculation:
Given data are
2, 3, x, 2x - 4, 5, 8
Number of observations = 6 = even
Hence,
Median = 1/2(x + 2x - 4)    ---(1)
But according to question, Median is 7.
⇒  1/2 (x + 2x - 4) = 7
⇒ 3x - 4 = 14
⇒ x = 6
Hence, observations are
2, 3, 6, 8, 5, 8
Since, 8 comes two times.
Hence, mode of observations is 8.

Precipitation reactions refer to the formation of insoluble salt when two solutions containing soluble salts are mixed. The insoluble salt that comes out of the solution is known as a precipitate, hence the name of the reaction.
Sodium chloride + silver nitrate → silver chloride + sodium nitrate.
NaCl + AgNO₃ ​→ AgCl + NaNO_3​
Mol:       1 mol          1 mol           1 mol         1 mol
Mass:    58.5 g        170 g         143.5 g     85 g
Precipitation reactions can help to determine the identity of different ions in the solution.

Given:
The given number = 37, 85, 65 and 23
Formula used:
Mean = Sum of observations/Number of observations
Calculation:
According to the question
The sum of the number = (37 + 85 + 65 + 23)
⇒ 210
The arithmetic mean = Sum of observations/Number of observations
⇒ 210/4
⇒ 52.5
∴ The required mean is 52.5

Given:
The compound interest on Rs. 40000 at 9% per annum is Rs. 7524.
Concept used:
Amount = P[1 + r/100]^t
Where, P = Principal, r =Rate of interest p.a., t = Time period
Calculation:
Amount = 40000 + 7524 = 47524
Let, the time period be t years.
Now, according to the question,
47524 = 40000[1 + 9/100]^t
⇒ 47524 = 40000[109/100]^t
⇒ 11881 = 10000[109/100]^t
⇒ 11881/10000 = (109/100)^t
⇒ (109/100)² = (109/100)^t
⇒ t = 2
∴ The time period is 2 years.

• The human heart is one of the most vital organs responsible for supporting life.
• Between the lungs, in the thoracic cavity little to the left of the sternum i.e breastbone, the heart is situated.
• It pumps blood in the entire body and on the other hand, the blood delivers oxygen, hormones, glucose, and other components to different parts of the human body including the heart.
• It also makes sure that adequate blood pressure is maintained in the body.

There are two types of circulation within the body they are:

• Pulmonary circulation: This type of circulation is accountable for transferring deoxygenated blood away from the heart to the lungs and then carrying oxygenated blood to the heart.
• Systemic circulation: In this type of circulation oxygenated blood is pumped from the heart to every organ and tissue of the body and deoxygenated blood comes back again to the heart.

Image of the human heart:

• It is divided into four chambers that are two ventricles and two atriums.
• The left ventricle is the largest and strongest chamber in a human heart.

161 = 7 x 23
Let 161 = ac, where c is an integer.
Also, 161 = bd, where d is an integer.
As 'a' and 'b' are prime numbers, and a > b, we have c = b = 7 and d = a = 23.
Now, 3b - a = 3 x 7 - 23 = 21 - 23 = -2
Thus, option (2) is correct.

Phycology is the scientific study of algae. Also known as algology, phycology is a branch of life science and often is regarded as a sub-discipline of botany. Algae are important as primary producers in aquatic ecosystems.

The Sum of two sides of the triangle should be greater than the length of the third side.
Calculation:   
Option 1:
2 + 3 < 6 
5 < 6
⇒ Sum of 2 sides of triangle is smaller than length of third side.
This option is incorrect.
Option 2:
3 + 4 > 6
7 > 6
4 + 6 > 3
10 > 3
3 + 6 > 4
9 > 4
The Sum of 2 sides of the triangle should be greater than the length of the third side.
This option is correct
option 3:
3 + 4 = 7
⇒ Sum of 2 sides of triangle is equal to the length of third side.
This option is incorrect
option 4:
4 + 6 < 12
10 < 12 
⇒ Sum of 2 sides of triangle is smaller than length of third side.
This option is incorrect
Option: 2 is correct.

On calculating the values, we get

So, in ascending order, they will be:

A Science laboratory refers to a building equipped for scientific experiments to explore knowledge and the tools like laboratory apparatus used in conducting experiments and research.

Brainstorming Method: Proposed by Alex Osborn, it is named so since it refers to the idea that problems are to be attacked by storms of ideas. It is a creative technique by which efforts are made to find a conclusion for a specific task by gathering a list of ideas before starting the task. Every participant puts forward any idea which comes to his/her mind.

Sensorial aids are categorised under tactile, olfactory and auditory as they deal with the senses.

The test does not in any way serve the purpose of ability to work in a group. It is used to know the progress of learning, as well as the effectiveness of teaching-learning process. The teacher can also know about various strengths and weaknesses of students.

Given :
1234A6 is divisible by 18
Concept used :
If a number is divisible by 18 it must be divisible by 9 and 2 
For a number to be divisible by 9 the sum of digits of the number must also be divisible by 9 
Calculations :
1234A6 is an even number so divisible by 2 
Now it must be divisible by 9 
The Sum of digits in 1234A6 must be divisible by 9 
Out of all option, only option 1 is satisfying the condition as the sum is coming 18 which is divisible by 9 
∴ Option 1 will be the correct choice.

Mathematics is an active subject where the child needs to think on their feet actively. Visualization, Transposition, Generalisation, and Estimation are the skills that are promoted by mathematics at the upper primary stage.

Science classroom is a place designed to provide an adequate learning environment for an effective teaching-learning process. It a place where children learn by interacting with their environment.

• Gender bias is an unfair idea about the personal attributes and traits of males and females. It is a tendency of differentiating people as men and women on the basis of their gender. 

Students are asked to find the various characteristics of a rectangle by using a geometry box. The teaching method adopted is the play-way method. Play-way is a means of the subjective and emotional development of the child, that is, development in terms of intellect, skills and feelings. Play-way method is structured on activity-based learning.

Absolute grading means grades are assigned according to cutoff levels decided before the start of the course. According to CBSE, total marks allocated over the different aspects of the project work are pre-decided before the start of the course, which means that in evaluation of the project report, absolute grading is used.

Formula used:
Probablity = Number of favourable outcomes / Total number of outcomes
Calculation:
Number greater than 2 are 3, 4, 5 and 6
Number of favourable outcomes = 3, 4, 5, 6 → 4
Total number of outcomes = 1, 2, 3, 4, 5, 6 → 6
Probablity of getting a number greater than 2 = 4/6 = 2/3
Hence, the correct answer is "2/3"

In the lesson plan presently being prepared in schools, the aspect to be indicated after content analysis is teaching learning activities, as these are activities designed or deployed by the teacher to bring about or create the conditions for learning.

Mathematics is part of children's life experience as Mathematics helps children make sense of their world outside of school and helps them construct a solid foundation for success in school.