CBSE Class 10 Maths Important Questions: The Central Board of Secondary Education (CBSE) 10th board exams occur nationally at various exam centres. The exams are conducted in offline pen-and-paper mode. CBSE has published the question paper in Hindi and English with multiple sets of questions. March 11, 2024 (Monday) is an important date for CBSE Class 10th students as this is the day for the second last examination of the 2023–24 academic year, and the exam is for mathematics.
At this time, before the exam, the students must check the questions that have been part of the CBSE 10th question papers for the last 10 years. These are the CBSE’s most frequently asked questions in Class 10 math. There is a high chance that you will see similar questions on the question paper, so you should be prepared to answer them. Check out the CBSE most-repeated questions for Class 10 math.
CBSE Class 10 Math Most Frequently Asked Questions: Important Note
Before jumping on to see the repeated questions of CBSE Class 10 Maths, it is important to know a few points:
- In mathematics, as in other subjects, similar questions are used to highlight patterns rather than asking the same question over and over again. Thus, you may find a similar question in the paper with different values. CBSE doesn’t repeat the same questions with the same values.
- The majority of the questions provided here are for 4 marks.
- It is not necessary that these questions be part of the CBSE Class 10 Math paper 2024. But there might be questions that follow the same pattern.
CBSE Class 10 Maths Most Repeated Questions
Below are the CBSE frequently asked questions for Class 10 Maths. Students must solve these to be more confident and score better in the final exam. Consider them an additional practice resource for the 10th board exam.
Q1. The King, Queen and Jack of clubs are removed from a pack of 52 cards and then the remaining cards are well shuffled. A card is selected from the remaining cards. Find the probability of getting a card
(i) of spades
(ii) of black king
(iii) of clubs
(iv) of jacks
(CBSE 2014-2017, 2020)
Q2. In AABC, altitude AD and CE intersect each
other at the point P. Prove that
(1) ΔΑΡΕ ~ ΔCPD
(ii) AP x PD = CP x PE
(iii) ΔADB ~ ΔСЕВ
(iv) AB × CE = BC X AD
(CBSE 2014, 2017, 2020)
Q3. Solve the following pair of linear equations graphically:
x + 3y = 6; 2x-3y = 12
Also, find the area of the triangle by the lines representing the given equation with the y-axis. (CBSE 2012-2020)
Q4. A passenger, while boarding the plane, slipped from the stairs and got hurt. The pilot took the passenger in the emergency clinic at the -airport for treatment. Due to this, the plane got delayed by half an hour. To reach the destination 1500 km away in time, so that the passengers could catch the connecting flight, the speed of the plane was increased by 250 km/hour than the usual speed. Find the usual speed of the plane. (CBSE 2011-2020)
Q5. A solid is in the shape of a cone surmounted on a hemisphere, the radius of each of them being 3.5 cm and the total height of solid is 9.5 cm. Find the volume of the solid. [Use π = 22/7] (CBSE 2011-2020)
Q6. A thief runs with a uniform speed of 100 m/minute. After one minute a policeman runs after the thief to catch him. He goes with a speed of 100 m/minute in the first minute and increases his speed by 10 m/minute every succeeding minute. After how many minutes the policeman will catch the thief. (CBSE 2011, 2012, 2015-2020)
Q7.The median of the following data is 525. Find the values of x and y, if total frequency is 100:
|
Class |
0-100 |
100-200 |
200-300 |
300-400 |
400-500 |
500-600 |
600-700 |
700-800 |
800-900 |
900-1000 |
|
Frequency |
2 |
5 |
x |
12 |
17 |
20 |
y |
9 |
7 |
4 |
(CBSE 2011-2020)
Q8.There are 104 students in class X and 96 students in class IX in a school. In a house examination, the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class.
(a) Find the maximum number of parallel rows of each class for the seating arrangement.
(b) Also find the number of students of class IX and also of class X in a row (CBSE 2011, 2013, 2015)
Q9. As observed from the top of a 100 m high light house from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the light house, find the distance between the two ships. [Use √3 = 1.732] (CBSE 2011-2020)
Q10. Prove that:
(1 + cot A+ tan A) (sin A – cos A) = sec³ A-cosec³ A / sec² A. cosec² A (CBSE 2011-2020)
To get more help and resources for your CBSE Class 10 Maths Exam 2024, check the links below:
