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# Category Archives: School Learning

Mensuration is the branch of mathematics that talks about the length, volume, and area of different geometrical objects. The shape may be in 2-D or… Read More
Question 1. Four-fifth of a number is more than three-fourth of the number by 4. Find the number. Solution: Let us consider the number as… Read More
Probability refers to the extent of the occurrence of events. When an event occurs like throwing a ball, picking a card from the deck, etc… Read More
Evaluate the determinants from the following Questions. Question 1.  Solution: The determinant of a 2 x 2 matrix Attention reader! All those who say programming isn't… Read More
Question 1. In quadrilateral ACBD AC = AD and AB bisects ∠ A (see Fig. 7.16). Show that ∆ ABC ≅ ∆ ABD What can… Read More
Question 1: How would you rewrite Euclid’s fifth postulate so that it would be easier to understand? Solution: Euclid’s fifth postulate: Attention reader! All those who… Read More
Question 1. Check the validity of the following statements: (i) p: 100 is a multiple of 4 and 5. (ii) q: 125 is a multiple… Read More
Question 1: Find the volume of a sphere whose radius is (i) 7 cm (ii) 0.63 m    (Assume π =22/7) Solution:Attention reader! All those… Read More
Question 1. Find the sum of odd integers from 1 to 2001. Solution: The odd integers forms an A.P. with Attention reader! All those who say… Read More
Question 1. In given figure, find the values of x and y and then show that AB || CD. Solution:Attention reader! All those who say… Read More
Question 11. If the GP’s 5, 10, 20,…….. and 1280, 640, 320,……..have their nth terms equal, find the value of n. Solution:  For GP 5,… Read More
Question 1. Show that each one of following progression is a GP. Also, find the common ratio in each case: (i) 4, -2, 1, -1/2,…….… Read More
Question 11. A field is 150m long and 100m wide. A plot (outside the field) 50m long and 30m wide is dug to a depth… Read More
Question 1. Calculate the amount and compound interest on (i) Rs 10,800 for 3 years at 12% per annum compounded annually. (ii) Rs 18,000 for… Read More
Chapter 10 Direct And Inverse Variations – Exercise 10.2 | Set 1 Question 10. A car can finish a certain journey in 10 hours at… Read More