A few sample questions from the CBSE Class 10 Mathematics sample paper 2019 are given below:
Question 1. Find the value of a, for which point P(a/2, 2) is the mid-point of the line segment joining the points (-5,4) and R(-1,0).
Question 2. Find the value(s) of k for which the equation x2 + 5kx + 16 = 0 has real and equal roots.
Question 3. Find the value of k, for which one root of the quadratic equation kx2 – 14x + 8 = 0 is 2.
Question 4. If nth term of an A.P. is (2n+1), what is the sum of its first three terms?
Question 5. The HCF and LCM of two numbers are 9 and 360 respectively. If one number is 45, find the other number.
Question 6. Places A and B are 80 km apart from each other on a highway. A car starts from A and another from B at the same time. If they move in same direction they meet in 8 hours and if they move towards each other they meet in 1 hour 20 minutes. Find the speed of cars.
Question 7. The points A(1,-2) , B(2,3), C (k,2) and D(-4,-3) are the vertices of a parallelogram. Find the value of k.
Question 8. Find the value of k for which the points (3k-1, k-2), (k, k-7) and(k-1, -k-2) are collinear.
Question 9. The radii of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle and BD is a tangent to the smaller circle touching it at D and intersecting the larger circle at P on producing. Find the length of AP.
Question 10. Water is flowing at the rate of 15 km per hour through a pipe of diameter 14cm into a rectangular tank which is 50 m long and 44 m wide. Find the time in which the level of water in the tank will rise by 21 cm.