Question

Anyone PLEASE give Some Mathematics Hard questions for class 10 cbse having concept out of C.B.S.E for practice purposes only.

Answer 1

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Q1. Find all zeroes of the polynomial (2x^4 – 9x^3 + 5x^2 + 3x – 1) if two of its zeroes are (2 + √3) and (2 − √3).

Q2. Seven times a two digit number is equal to four times the number obtained by reversing the order of  its digits. If the difference of the digits is 3, determine the number.

Q3. The angles of depression of the top and bottom of a building 50 metres high as observed from the top  of a tower are 30° and 60°, respectively. Find the height of the tower and also the horizontal distance  between the building and the tower ?

Q4. Three semicircles each of diameter 3 cm, a circle of diameter 4.5 cm and a semicircle of radius 4.5 cm  are drawn in the given figure. Find the area of the shaded region ? (See attached pic)

Q5. Water in a canal, 5.4 m wide and 1.8 m deep, is flowing with a speed of 25 km/hour. How much area  can it irrigate in 40 minutes, if 10 cm of standing water is required for irrigation ?

Q6. In a rain-water harvesting system, the rain-water from a roof of 22 m × 20 m drains into a cylindrical  tank having diameter of base 2 m and height 3.5 m. If the tank is full, find the rainfall in cm. Write your  views on water conservation ?

Q7. A cubical block of side 10 cm is surmounted by a hemisphere. What is the largest diameter that the  hemisphere can have ? Find the cost of painting the total surface area of the solid so formed, at the rate  of Rupee 5 per 100 sq. cm. [Use p = 3.14] ?

Q8. The minimum age of children to be eligible to participate in a painting competition is 8 years. It is  observed that the age of youngest boy was 8 years and the ages of rest of participants are having a  common difference of 4 months. If the sum of ages of all the participants is 168 years, find the age of  eldest participant in the painting competition.

Q9. A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72  km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total  journey, what is the original average speed ?

Q10. In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling  this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If tank is filled  completely then what will be the height of standing water used for irrigating the park ?

Q11. Three sets of English, Hindi and Sociology books dealing with cleanliness have to be stacked in such  a way that all the books are stored topicwise and the height of each stack is the same. The number of  English books is 96, the number of Hindi books is 240 and the number of Sociology books is 336.

(i) Assuming that the books are of the same thickness, determine the number of stacks of English,  Hindi and Sociology books.

(ii) Which mathematical concept is used in the problem ?

Q12. Prove that in a right triangle, the square of the hypotenuse is equal to sum of squares of other two sides.

Using the above result, prove that, in rhombus ABCD,

4AB^2 = AC^2 + BD^2

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Answer 2

Answer:

Step-by-step explanation:

Here are a few questions from math real numbers

Topic logarithms:

1. Find x if 2log5 + 1/2 log9 - log3 = log x.

2.if (2.3)^x = (0.23)^y =1000 then find the value of 1/x - 1/y.

3. Expand log (128/624).