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Question :In the given figure, line RP || line MS and line DK is their transversal. ∠DHP = 85°. Find the measures of following angles. i. ∠RHDii. ∠PHGiii. ∠HGSiv. ∠MGKSolution:i. ∠DHP = 85° …..(i)∠DHP + ∠RHD = 180° [Angles in a linear pair]85° + ∠RHD = 180°∴ ∠RHD = 180°- 85°∴ ∠RHD = 95° …..(ii) … Read more

Question 1.Select the correct alternative answer for the questions given below. i. How many midpoints does a segment have ?(A) only one(B) two(C) three(D) manyAnswer:(A) only one ii. How many points are there in the intersection of two distinct lines ?(A) infinite(B) two(C) one(D) not a singleAnswer:(C) one iii. How many lines are determined by … Read more

Question 1.Write the following statements in ‘if-then’ form.i. The opposite angles of a parallelogram are congruent.ii. The diagonals of a rectangle are congruent.iii. In an isosceles triangle, the segment joining the vertex and the midpoint of the base is perpendicular to the base.Answer:i. If a quadrilateral is a parallelogram, then its opposite angles are congruent.ii. … Read more

Question 1.The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not. i. seg DE and seg ABii. seg BC and seg ADiii. seg BE and seg ADSolution:i. Co-ordinate of the point E is 9.Co-ordinate of the point D is … Read more

Question 1.Find the distances with the help of the number line given below. i. d(B, E)ii. d (J, J)iii. d(P, C)iv. d(J, H)v. d(K, O)vi. d(O, E)vii. d(P, J)viii. d(Q, B)Solution:i. Co-ordinate of the point B is 2.Co-ordinate of the point E is 5.Since, 5 > 2∴ d(B, E) = 5 – 2∴ d(B, E) … Read more

Question 1.Write the correct alternative answer for each of the following questions. i. Which of the following data is not primary ?(A) By visiting a certain class, gathering information about attendance of students.(B) By actual visit to homes, to find number of family members.(C) To get information regarding plantation of soyabean done by each farmer … Read more

Question 1.Yield of soyabean per acre in quintal in Mukund’s field for 7 years was 10, 7, 5,3, 9, 6, 9. Find the mean of yield per acre.Solution: Mean = 7The mean of yield per acre is 7 quintals. Question 2.Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.Solution:Given data in … Read more

Question 1.Complete the following cumulative frequency table: Solution: Question 2.Complete the following Cumulative Frequency Table: Solution: Question 3.The data is given for 62 students in a certain class regarding their mathematics marks out of 100. Take the classes 0 – 10, 10 – 20,… and prepare frequency distributiontable and cumulative frequency table more than or … Read more

Question 1.For class interval 20 – 25 write the lower class limit and the upper class limit.Answer:Lower class limit = 20Upper class limit = 25 Question 2.Find the class-mark of the class 35-40.Solution:Class-mark ∴ Class-mark of the class 35 – 40 is 37.5 Question 3.If class-mark is 10 and class width is 6, then find … Read more

Question 1.Classify following information as primary or secondary data.i. Information of attendance of every student collected by visiting every class in a schoolii. The information of heights of students was gathered from school records and sent to the head office, as it was to be sent urgently.iii. In the village Nandpur, the information collected from … Read more