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Solution: HCF of and is Question 6. If one of 1oth Maths Important Questions Using the numbers is 27, find the other number. Question 7. Question 8. Question 9. Find the LCM of 96 and by using fundamental theorem of arithmetic. Question Find the largest number which divides 70 and leaving remainder 1oth Maths Important Questions Using 5 and 8 respectively.

Complete the following factor tree and find the composite 1oth Maths Important Questions Using number x. Check whether 4n can end with the digit 0 for any natural number n. Therefore, 4 n does not end with the digit zero for any natural number n.

Give reasons. But this contradicts the fact that p and q have no common factor. So, our assumption is wrong, is irrational. Three bells toll at intervals of 9, 12, 15 1oth Maths Important Questions Using minutes respectively.

Is ABCD a square? Find that value of k for which point 0, 2 , is equidistant from two points 3, k and k, 1oth Maths Important Questions Using 1oth Maths Important Questions Using 5. Find the area of the triangle ABC with A 1, 4 and mid-points of sides through A being 2, -1 and 0, Find the Questions Using 1oth Important Maths 1oth Maths Important Questions Using area of the triangle PQR with Q 3, 2 and the mid-points of the sides through Q being 2, -1 and 1, 2. Find the ratio in which the y-axis divides the line segment joining the points -4, -6 and 10, Find the ratio in which point P -1, y 1oth Maths Important Questions Using lying on the line segment joining points A -3, 10 and B 6, -8 divides it.

Also find the value of y. In what ratio does the point Points A -1, y and B 5, 7 lie 1oth Maths Important Questions Using on a circle with centre 0 2, -3y. Find the values of y. Hence find the radius of the circle. The area of a triangle is 5 sq. Two of its vertices are 2, 1 and 3, Questions 1oth Maths Important Using Find the ratio in which the line segment joining the points A 3, 1oth Maths Important Questions Using -3 and B -2, 7 is divided by x-axis.

D and E Using Maths Questions 1oth Important respectively are the mid-points of the sides AB and AC and their coordinates are 1, 0 and 0, 1 respectively. If two vertices of an equilateral triangle are 3, 0 Sdt Maths Questions Quizlet and 6, 0 , find the third vertex. Find 1oth Maths Important Questions Using the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are A 2, 1 , B 4, 3 and C 2, 5. If the vertices of a triangle are 1, -3 , 4, p and -9, 7 and its area is 15 sq. For the triangle Maths Solutions For Any Questions 0.9 ABC formed by the points A 4, -6 , B 3,Using Maths Questions Important 1oth -2 and C 5, 2 , verify that median divides the triangle into two triangles of equal area.

Point P x, 4 lies on the line segment joining the points A -5, 8 and B 4, Find the 1oth Maths Important Questions Using 1oth Maths Important Questions Using ratio in which point P divides the line segment AB. Also find the value of x. Find the ratio in which the point P x, 2 divides the line segment joining the points A 12, 5 and B 4, Also, find the value of x. If 3, 3 , 6, y , x, 7 and 5, 6 are the vertices of a parallelogram taken in 1oth Important Using Questions Maths 1oth Maths Important Questions Using order, find the values of x and y. Since diagram of a parallelogram divides it into 2 equal areas. Find the value of k, 1oth Maths Important Questions Using if the points P 5, 4 , Q 7, k and R 9, � 1oth Maths Important Questions Using 1oth Maths Important Questions Using 2 are collinear.

If P 2, 4 is equidistant from Q 7, 0 and R x, 9 , find the values of x. Find the mean of the following distribution by Assumed Mean Method: Solution:. Find the mean 1oth Important Maths Questions Using and median for the following data: Solution:. For helping poor girls of their 1oth Maths Important Questions Using class, students saved pocket money as shown in the following table: Find mean and median for this data. Weekly income of families is given below: Find the median.

Find the median for the following distribution: Solution:. Heights of students of class X are given in the following frequency distribution: Find 1oth Maths Important Questions Using 1oth Maths Important Questions Using the modal height. A medical camp was held in a school to impart health education and the importance of excercise to children.

During this camp, a medical check of 35 students was done and their weights were recorded as follows: Compute the modal weight. The average score of boys in the examination of a school is 71 and that of the girls is The average score of the school in the examination is Find the ratio of number of boys to the number of girls who appeared in the examination. Also, obtain median from the curve. The mean of the following frequency distribu tion is But the frequencies f 1 and f 2 in the classes and are missing.

In the table below, heart-beats of 30 women are recorded. If mean of the data is 76, find the missing frequencies x and y. The following table gives the daily income of 50 workers of a factory. Find the values of x and y if the median for the following data is The median of 1oth Maths Important Questions Using the following data is Find x and y if the sum of 1oth Maths Important Questions Using 1oth Maths Important Questions Using all frequencies is , D Solution:. Find the median of the following data: Solution:.1oth Maths Important Questions Using

Verify median by actual calculations. Draw: a more than ogive and OD b less than ogive for the following data Also find its median. Draw a more than ogive for the data given below which gives the marks of students: , D Solution:.

School held sports day in which students participated.