AP 10th Class Maths Important Questions 2024: AP SSC Class 10 Maths Exam is scheduled for March 22, 2024 (Friday). Mathematics, a subject rooted in logical reasoning, demands diligent practice and comprehensive revision to succeed in the examination. At the time of the exam, solving sample papers, practice papers and important questions is the best way to revise and solidify the concepts. In this regard, we have provided below important questions for AP SSC Maths Exam 2024. Questions of 1, 2 and 4 marks are provided below, which are best for revising key concepts and assessing your preparedness for the exam. All questions are provided in PDF below:
AP Class 10 Maths Important Questions 2024
1 Mark Important Questions
1.Find the value of Logx√x.
2.If HCF (306, 657) = 9, find LCM.
3.If the prime factorization of natural number (n) is 23x32x52x7. How many consecutive zeroes will it have at the end of it justify your answer?
4.If log2 (x2-4x+7)=2 find the value of'x'.
5.If n(AUB)=51,n(A)=20, n(B)=44 then find n(A∩B)
6.If A={0,1,2}, B={2,4} find n(AUB)
7.Is 1/(x-1) a polynomial? Justify your answer.
8.The number of skirts is two less than twice the number of pants purchased. Also the number of skirts is four less than for times the number of pants purchased. Express this data in the form of a linear equation.
9.Check whether the pair of linear equations 2x+y-5 = 0 and 3x-2y-4 = 0 intersecting, parallel, or coincident lines?
10.The sum of the reciprocals of Rehman's ages (in years) 3 year ago and 5 years from now is 1/3. Find his present age.
11.Find the value of k for 2x2-kx+3=0,so that it has two equal roots ?
12.Evaluate cos36cos54 - sin36 sin54?
AP Class 10 Maths Model Paper 2024
2 Mark Important Questions
1.Why 6n+5n always end with 1? Explain
2.Prove that logaa=1
3.A number when divided by 61 gives 21 as quotient and 32 as remainder find the number.
4.Represent AUB, A∩B, A-B, B-A, A⊆B, B⊆A, A⊆B⊆C as Venn Diagrams
5.If A={1,2,3,4}, B= {1,2,3,5,6} then find A∩B and B∩A. Are they equal?
6.(i) If A={1,2,3},B={3,4,5}
(ii) A= (3,4,5,6,7}, B= {1,6,7,8,9} then verify n(AU B)=n(A)+n(B)-n(A-B)
7.Why are ¼ and - 1 zeroes of the polynomials p(x) = 4x2 + 3х- 1?
8.Find quadratic polynomial whose zeroes are 2 and -1/3 respectively?
10.The difference of squares of two numbers is 180, the square of the smaller number is 8 times the larger number. Find the two numbers.
11.Find the roots of the equation
x + 1/x = 4(1/4), x≠0.
12.Find the 10th term of the AP 5, 1, -3, -7, ……………
13.Find x so that x, x+2, x+6 are consecutive terms of GP?
14.Subbarao started work in 1995 at annual salary of Rs.5000 received an increment of and Rs. 206 each year. In which year did his income reach Rs.7000?
15.A sphere, a cylinder and a cone are of the same radius and same height. Find the ratio of their curved surface areas?
16.If sin(A-B)= ½ and cos(A+B) = ½ find A and B.
17.Find 'X' if the median of the observations in ascending order is
24, 25,26, X + 2, X + 3, 30, 31, 34 is 27.5?
4 Mark Important Questions
1.(i) If x2+y2=25xy then show that 21og(x+y)=3log3+logx+logy
(ii)x2+y2=6xy then show that 2log(x+y)=3log2+logx+logy
2.(2.3)x=(0.23)Y = 1000 then find the value of (1/x)-(1/y)
3.Show that a positive odd integer is of the form 4q+1 or 4q+3 where q is integer
4.Which of the following are sets? Justify
(i) the collection of all months of a year beginning with "j"
(ii) The collection of ten most talented writers of India.
(iii) A team of eleven best cricket batsmen of the world.
(iv) The collection of all boys In your class
(v) the collection of all even
5.Find all the zeroes of 2x4 - 3x3 - 3x2 + 6x- 2, if you know that two of its zeroes are √2 and - √2.
6.Verify that 1, -1 and - 3 are the zeroes of the cubic polynomial x3 + 3x2 - x - 3 and check the relationship between zeroes and the coefficients.
7.A boat goes 30km upstream and 44km downstream in 10hrs in 13hrs it can go 40km upstream and 55km downstream. Determine the speed of the stream and that of the boat in still water.
8.2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days. Find the time taken by 1 woman alone and 1 man alone to finish the work.
9.Solve 2/3 + 3/y = 13 and 5/x - 4/y = -2.
10.Solve 3x+2y = 5 and 2x-2y = 7 graphically?
11.In a competitive exam, 3 marks are to awarded for every correct answer and for every wrong answer, 1 mark will ba deducted. Madhu scored 40 marks in this exam. Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks. How many questions were there in/the test? (Madhu attempted all the questions)
12.Two water taps together can fill a tank in 9(3/8) hours. The tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately find the time in which watch tap can separately fill the tank.
13.A manufacture of TV sets produced 600 sets in the third year and 700 sets in the seventh year. Assuming that the production increases uniformly by a fixed number every year, find
(i) the production in the 1 year?
(ii) the production in the 10 year?
(iii)the total production in 7 years?
15.Find the area of the segments shaded in figure, if PQ=24 cm, PR = 7 cm and QR is the diameter of the circle with centre Q. (Take π=22/7)
16.Construct a triangle of sides 4cm, 5cm and 6 cm. Then Construct a triangle similar to it, whose sides are 2/3 of corresponding sides of first triangle.
17.If cosecθ + cotθ = k then prove that
cosθ = (k2 − 1)/(k2 + 1).
18.A straight high way leads to the foot of the tower. Ramaiah standing at the top of the tower observes a car at angle of depression 300. The car is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the cars is found to be 600. Find the time taken by a car to reach the foot of the tower from this point?
19.A 1.5m tall boy is looking at the top of the temple which is 30m in height from a point at a certain distance. The angle of elevation from his eye to the top of the crown of the temple increases from 30º to 600 as he walks towards the temple. Find the distance he walked towards the temple.
20.A die is thrown once. Find the probability of getting:
(i) a prime number
(ii) a number lying between 2 and 6
(iii) an odd number
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