सीबीएसई कक्षा 10 गणित के कुछ महत्तवपूर्ण सवाल

सीबीएसई के बोर्ड के परीक्षाओं को लेकर सभी छात्र बहुत परेशान हो जाते हैं। वो सोचते हैं कि वो कैसे अच्छे नंबर लाएं। और गणित एक ऐसा विषय है जिसके लिए सभी परेशान रहते हैं कुछ लोंगो को तो समझ नहीं आता कि वे कैसे पढ़ें और इस साल सीबीएसई कक्षा 10 परीक्षा पैटर्न भी बदल गया है। आप सीबीएसई कक्षा 10 गणित परीक्षा पैटर्न यहां से देख सकते हैं। परीक्षा के समय छात्र अधिकतर देखते हैं कि कौन से ऐसे सवाल हैं जो जरूर आते हैं। या उस सवाल जैसे सवाल आते हैं। तो हम आज के इस आर्टिकल में आपके लिए लाएं हैं कि गणित के पेपर के लिए कौन से सवाल महत्तवपूर्ण हैं। तो आइए बताते हैं कि कौन से महत्तवपूर्ण सवाल हैं जो पूछे जाते हैं या जिस तरह के सवाल पूछे जाते हैं।

सीबीएसई कक्षा 10 गणित महत्तवपूर्ण क्वेश्चन

Q. If the sum of first m terms of an AP is 2m2 + 3m, then what is its second term?

Q. Find the value of ‘k’ so that the zeros of the quadratic polynomial 3x2 – kx + 14 are in the ratio 7: 6.

Q. Determine whether the following system of linear equation has a unique solution, no solution or infinitely many solution.

4x − 5y = 3

8x − 10y = 6

Q. If the bisectors of adjacent angles P and Q of a parallelogram PQRS intersect at a point O, then find ∠POQ.

Q. Water flows through a circular pipe, whose internal diameter is 2 cm, at the rate of 0.7 m per second into a cylindrical tank, the radius of whose base is 40 cm. By how much will the level of water in the cylindrical tank use in half an hour?

Q. On a straight line passing through the foot of a tower, two points C and D are at distances of 4 m and 16 m from the foot respectively. If the angles of elevation from C and D of the top of the tower are complementary, then find the height of the tower.

Q. If the ratio of the sum of the first n terms of two A.Ps is (7n + 1):(4n + 27), then find the ratio of their 9th terms.

एक नंबर के लिए महत्तवपूर्ण सवाल 

Q. For what value of k will k + 9, 2 k ‒ 1 and 2k + 7 are the consecutive terms of an A.P.?

Q. What is the perimeter of a square circumscribing a circle of radius a cm.

Q. What is the perimeter of a square circumscribing a circle of radius a cm.

Q. If the common difference of an A.P. is 3, then find a20 – a15.

Q. A card is drawn at random from a pack of 52 playing cards. Find the probability that the card drawn is neither an ace nor a king.

Q. Find the coordinates of the point on y-axis which is nearest to the point (–2, 5).

आप इस तरह के और भी क्वेश्चन देख सकते हैं।

दो नंबर के लिए महत्तवपूर्ण सवाल 

 Q. Find the number of all three-digit natural numbers which are divisible by 9.

Q. Solve the following system of linear equations by substitution method:

     2x – y = 2

     x + 3y =15

Q. A box contains 12 balls of which some are red in colour. If 6 more red balls are put in
the box and a ball is drawn at random, the probability of drawing a red ball doubles
than what it was before. Find the number of red balls in the bag.

Q. Find the value(s) of k for which the pair of linear equations kx + y = k2 and x + ky = 1 have infinitely many solutions.

आप इस तरह के और भी क्वेश्चन देख सकते हैं।

तीन नंबर के लिए महत्तवपूर्ण सवाल 

Q. Prove that  √3 is irrational.

Q. For any positive integer n, prove that n3 ‒ n is divisible by 6.

Q. At present Asha’s age (in years) is 2 more than the square of her daughter Nisha’s age. When Nisha grows to her mother’s present age, Asha’s age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.

आप इस तरह के और भी क्वेश्चन देख सकते हैं।

चार नंबर के लिए महत्तवपूर्ण सवाल

Q. The first and the last terms of an AP are 10 and 361 respectively. If its common difference is 9 then find the number of terms and their total sum?

Q. A train travelling at a uniform speed for 360 km would have taken 48 minutes less to travel the same distance if its speed were 5 km/hour more. Find the original speed of the train.

Q. Check whether the equation 5×2– 6x – 2 = 0 has real roots and if it has, find them by the method of completing the square. Also verify that roots obtained satisfy the given equation.

आप इस तरह के और भी क्वेश्चन देख सकते हैं।