Q) While playing in a garden, Samaira saw a honeycomb and asked her mother what is that. Her mother replied that it’s a honeycomb made by honey bees to store honey. Also, she told her that the shape of the honeycomb formed is a mathematical structure. The mathematical representation of the honeycomb is shown in the […]
June 2024
Q) Calculate the mean of the following data : Ans: Let’s re-arrange the data with midpoint of each class, frequency, and multiply midpoint with frequency: We know that, mean of grouped data is given by: Mean of grouped data = Therefore, Mean value = = 24 Hence, the mean value of the given data is
In a test, the marks obtained by 100 students (out of 50) are given below : Read More »
Q) In a 2-digit number, the digit at the unit’s place is 5 less than the digit at the ten’s place. The product of the digits is 36. Find the number. Ans: Let’s consider X is the digit at unit’s place and Y is the digit at ten’s place. The number will be 10 Y +
In a 2-digit number, the digit at the unit’s place is 5 less than the digit Read More »
Q) Using graphical method, solve the following system of equations : 3x + y + 4 = 0 and 3 x – y + 2 = 0 Ans: Step 1: Let’s try to find the intersection points on X – axis and Y – axis for each of the lines: A. For linear equation 3
Q) Tara scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each wrong answer, then Tara would have scored 50 marks. Assuming that Tara attempted all questions, find
Tara scored 40 marks in a test, getting 3 marks for each right answer and losing Read More »
Q) From the top of a 45 m high light house, the angles of depression of two ships, on the opposite side of it, are observed to be 30° and 60°. If the line joining the ships passes through the foot of the light house, find the distance between the ships. (Use √3 = 1.73)
From the top of a 45 m high light house, the angles of depression of two ships Read More »
Q) The perimeter of a certain sector of a circle of radius 5.6 m is 20.0 m. Find the area of the sector. Ans: Given that the radius = 5.6 m In a circle, perimeter of the sector is given by, P = 2 r + L Here, L is the arch length of a
Q) A ball is thrown in the air so that t seconds after it is thrown, its height h metre above its starting point is given by the polynomial h = 25t – 5t2. Observe the graph of the polynomial and answer the following questions : (i) Write zeroes of the given polynomial. (ii) Find
Q) The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various entertainment acts including human skill and animal training are presented before the crowd. A circus tent is cylindrical upto a height of 8 m and conical above it. The diameter of the base is 28 m and total height
The word ‘circus’ has the same root as ‘circle’. In a closed circular area, various Read More »
Q) In a survey on holidays, 120 people were asked to state which type of transport they used on their last holiday. The following pie chart shows the result of the survey. Observe the pie chart and answer the following questions: 1 (i) If one person is selected at random, find the probability that he/she