Free CTET Math Question and Answer — Questions and Answers

Question 1: If a car can travel 150 km on 25 liters of gasoline, then 30 liters of gasoline can take you ____ kilometers.

190 km
180 km (Correct answer)
200 km
160 km

Correct answer: 180 km

First, determine the car's fuel efficiency: 150 km / 25 liters = 6 km per liter. Then, multiply this efficiency by the new amount of gasoline: 6 km/liter * 30 liters = 180 km. Therefore, the car can travel 180 kilometers on 30 liters of gasoline.

Question 2: The total of a square's internal angles is -

360° (Correct answer)
180°
270°
None of these

Correct answer: 360°

A square is a quadrilateral, meaning it is a polygon with four sides and four interior angles. The sum of the interior angles of any quadrilateral is always 360 degrees. Since each angle in a square is 90 degrees, 4 * 90° equals 360°.

Question 3: On a map, a distance of half a centimeter corresponds to 200 kilometers on the earth. If two cities are 1800 kilometers apart in real life, how far away will they appear on a map?

nine centimeter
four and a half centimeter (Correct answer)
six centimeter
three and a half centimeter

Correct answer: four and a half centimeter

The map scale indicates that 0.5 cm represents 200 km. To find the map distance for 1800 km, divide the real distance by the scale factor: (1800 km / 200 km) * 0.5 cm. This calculation results in 9 * 0.5 cm, which equals 4.5 centimeters.

Question 4: The price of an orange is 2.5 rupees. What is the price of three and a half dozen oranges?

Rs 112
Rs 105 (Correct answer)
Rs 90
Rs 120

Correct answer: Rs 105

One dozen oranges equals 12 oranges. Therefore, three and a half dozen oranges is 3.5 * 12 = 42 oranges. Since each orange costs Rs 2.5, the total price for 42 oranges will be 42 * 2.5 = Rs 105.

Question 5: Piaget felt that social education is what leads to learning, and a mathematics teacher who subscribes to his theory should use?

Group project and group discussion (Correct answer)
Piaget felt that social education is what leads to learning, and a mathematics teacher who subscribes to his theory should use?
Differentiated instruction
Chalk and talk method

Correct answer: Group project and group discussion

While Piaget is known for individual constructivism, his later work acknowledged the role of social interaction in cognitive development. Group projects and discussions align with this by allowing students to collaboratively construct knowledge, share ideas, and challenge each other's thinking, thereby facilitating deeper learning through social engagement.

Question 6: What is the median value out of 18, 12, 51, 32, 106, 92, and 58?

42
106
92
51 (Correct answer)

Correct answer: 51

To find the median, first arrange the numbers in ascending order: 12, 18, 32, 51, 58, 92, 106. Since there are seven numbers, the median is the middle value. In this ordered list, the fourth number, 51, is the median.

Question 7: After giving the accomplishment test, what is the teacher's next task?

Analysis interpretation of test scores
Preparation of scoring key and making scheme
Evaluation and answer scripts (Correct answer)
Drawing conclusions

Correct answer: Evaluation and answer scripts

After administering an accomplishment test, the teacher's immediate next task is to evaluate the answer scripts. This involves carefully checking each student's responses against the scoring key and assigning marks. This step is crucial before any analysis, interpretation, or drawing of conclusions can take place.

Question 8: In a cube of size 9 cm, how many cubes of side 3 cm are there?

54
18
9
27 (Correct answer)

Correct answer: 27

To determine how many smaller cubes fit into a larger one, calculate the volume of each. The volume of the large cube is 9 cm * 9 cm * 9 cm = 729 cubic cm. The volume of a small cube is 3 cm * 3 cm * 3 cm = 27 cubic cm. Dividing the large volume by the small volume (729 / 27) gives 27, meaning 27 smaller cubes fit inside.

Question 9: A instructor instructing Class II students in "addition." Which of the following is the best course of action to take?

Word problems should be used only for the purpose of assessment.
Word problems should not be done in Class II.
Word problems should be done at the end of the chaptor.
Addition should be introduced through word problems. (Correct answer)

Correct answer: Addition should be introduced through word problems.

For Class II students, introducing addition through word problems makes the concept more concrete and relatable to their everyday experiences. This approach helps them understand the practical application of addition, connecting abstract numbers to real-life situations and fostering a deeper conceptual understanding rather than just rote memorization.

Question 10: Which of the following queries can be answered in any way?

Write the number 25, 71, 19, 9, 8, 17, 85 in ascending order
Which is more? 1/3 or 7/5
What is 7 more than 2/7?
Write any four number greater than 2.7 (Correct answer)

Correct answer: Write any four number greater than 2.7

An open-ended question allows for multiple correct answers or a range of valid responses. Options A, B, and C have single, definitive correct answers. However, 'Write any four numbers greater than 2.7' has an infinite number of possible correct answers (e.g., 3, 4, 5, 6 or 2.8, 2.9, 3.0, 3.1), making it the open-ended query.

Question 11: According to the demands and aptitude of the students, subjects are introduced in descending sequence of difficulty. What is the method of curricular organization used here?

Logical approach
Spiral and concentric approach (Correct answer)
Psychological approach
Topical approach

Correct answer: Spiral and concentric approach

The spiral and concentric approach to curriculum organization involves revisiting topics at increasing levels of complexity and depth over time. This method ensures that foundational concepts are introduced early and then built upon gradually, aligning with students' developing cognitive abilities and aptitudes as they progress through their education.

Question 12: What does the "Practice Time" part of the mathematics textbook's various topics seek to accomplish?

ensuring better utilization of time
providing fun and enjoyment to students
providing extended learning opportunities
having a change in daily routine (Correct answer)

Correct answer: having a change in daily routine

The 'Practice Time' section in a mathematics textbook is primarily designed to provide students with extended learning opportunities. It allows them to reinforce concepts, apply newly acquired skills, and deepen their understanding through additional exercises. This practice is crucial for mastery and retention of mathematical knowledge.

Question 13: Between 99 and 3000, how many four-digit numbers are there?

1999
2001 (Correct answer)
1998
2000

Correct answer: 2001

Four-digit numbers start from 1000. The question asks for numbers between 99 and 3000, which means we are looking for four-digit numbers from 1000 up to and including 3000. To count these, subtract the first number from the last and add one: 3000 - 1000 + 1 = 2001. Thus, there are 2001 four-digit numbers in this range.

Question 14: What is 63606's sum of the place values of 6?

60606 (Correct answer)
18
6066
6606

Correct answer: 60606

In the number 63606, the '6' in the ten thousands place has a value of 60000. The '6' in the hundreds place has a value of 600. The '6' in the ones place has a value of 6. Summing these place values gives 60000 + 600 + 6 = 60606.

Question 15: Which of the following is the odd one out?

Sphere
Cylinder
Cone
Circle (Correct answer)

Correct answer: Circle

Sphere, Cylinder, and Cone are all three-dimensional (3D) geometric solids, possessing volume and depth. A Circle, however, is a two-dimensional (2D) geometric figure, defined by its perimeter and area but lacking depth. This fundamental difference in dimensionality makes the circle the odd one out.

Question 16: A carpet is 2(1/2) meters shorter than the size of the room. If the carpet is 3(1/4) meters long, how long is the room?

5.75 m (Correct answer)
5.50 m
6 m
5 m

Correct answer: 5.75 m

The carpet is 3(1/4) meters long, which is 3.25 meters. The problem states the carpet is 2(1/2) meters shorter than the room's size, meaning the room is 2.5 meters longer than the carpet. Therefore, the room's length is 3.25 m + 2.5 m = 5.75 meters.

Free CTET Math Question and Answer

If a car can travel 150 km on 25 liters of gasoline, then 30 liters of gasoline can take you ____ kilometers.