Day 25: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

Question 1
Probability. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)
11 $In a cricket match, a batsman hits the boundary 7 times out of the 42 balls he plays. The probability of his not hitting a boundary is :$
Tap an option to check your answer.
Question 2
Probability. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)
22 $\dfrac{x}{12}$
Question 3
Probability. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)
6 $If in a lottery, there are 10 prizes and 30 blanks, then the probability of winning a prize is :$
Tap an option to check your answer.
Question 4
Quadratic Equations. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)
34 (b) $A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. Find the speed of the train.$
Question 5 (case study, 4 parts)
Quadratic Equations. Asked 2 times: 2022*, 2025 (* = numbers or wording changed that year)
A garden designer is planning a rectangular lawn that is to be surrounded by a uniform walkway. The total area of the lawn and the walkway is 360 square metres. The width of the walkway is same on all sides. The dimensions of the lawn itself are 12 metres by 10 metres. Based on the information given above, answer the following questions :
36 (i) $Formulate the quadratic equation representing the total area of the lawn and the walkway, taking width of walkway = x m.$
36 (ii) (a) $Solve the quadratic equation to find the width of the walkway ‘x’.$
36 (ii) (b) $If the cost of paving the walkway at the rate of ₹ 50 per square metre is ₹ 12,000, calculate the area of the walkway.$
36 (iii) $Find the perimeter of the lawn.$

Question 1

Question 2

Question 3

Question 4

Question 5 (case study, 4 parts)