10th Grade Math Problems

10th Grade Math Problems 10th grade math syllabus include Arithmetic Algebra Geometry Mensuration Trigonometry Examples of 10th grade math problems: - From arithmetic: - Example 1: - A mixed fertilizer contains urea and cow manure in the ration of 2 : 5. Find out the weight of the components required to produce 28 quintals of mixed fertilizer. Analysis of data: - Urea: cow manure = 2 : 5 Therefore proportional part of urea in the mixed fertilizer = 2 / 7 And that of cow manure in the mixed fertilizer = 5 / 7 In mathematical language the problem is i) 28 x (2 / 7) ii) 28 x (5 / 7) Solution: - i) 28 x (2 / 7)= 4 x 2 = 8 ii) 28 x (5 / 7)= 4 x 5 = 20 Answer: - Weight of urea= 8 quintals and weight of cow manure = 20 quintals. From Algebra: - Example :- Find the H.C.F. and L.C.M. of the following two expressions: 1st expression = 4 p^2 q r^3 2nd expression = 6 p^3 q^2 r^4 H.C.F. i) H.C.F. of the coefficients is 2 ii) The highest common powers of the variables are 2 for p, 1 for q and 3 for r. Therefore, the required H.C.F. = 2 p^2 q r^3 L.C.M. i) The L.C.M. of the co-efficient = 2 x 2 x 3 = 12 ii) The highest powers of the variables are 3 for p, 2 for q and 4 for r. Therefore, the required L.C.M. = 12 p^3 q^2 r^4