Free CTET Math Question and Answer

Question 1

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

Accepted Answer

180 km

Answer

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 -

Accepted Answer

360°

Answer

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?

Accepted Answer

four and a half centimeter

Answer

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?

Accepted Answer

Rs 105

Answer

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?

Accepted Answer

Group project and group discussion

Answer

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.

CTET Exam Practice Test

CTET Exam Practice Test

Free CTET Math Question and Answer