Super 20 Sample Paper Mathematics Class 12

About Super 20 Sample Paper Mathematics Class 12

Super 20 Mathematics Sample Paper for class 12 is designed in accordance with the pattern specified by the CBSE for the Examination. This book consists of 20 Solved Different types of questions. These papers give you an idea about how your real Board Examination Question Paper will look in terms of difficulty level, marks distribution, sections, number & type of questions, time and duration.

Why to Practice Super 20 Mathematics Sample Paper?

Super 20 Mathematics Sample Papers help you to get into the real exam-type feeling. As this question paper is exactly similar to the CBSE sample papers, you will find it very useful to analyze how much time you need to answer each question, what should be your writing strategy and how to finish it in given time. The more you practice, the more efficiency level you achieve. It matters a lot. Most of the time, you know the answers but you miss it only because of bad time management.

Students are advised to solve all these Sample Papers and refer their answers to the Marking Scheme to assess their level of preparation for CBSE Board Examination. All these questions are very important for forthcoming CBSE Board Examination.

Some Questions from Super 20 Sample Paper Mathematics Class 12

  1. Let A = {1, 2, 3, … 9} & R be the relation in A × A defined by (a, b) R (c, d). If a + d = b + c for a, b, c, d ∈ A, prove that R is an equivalence relation. Also obtain the equivalence class (2, 5). (6)

  2. Three distinguishable balls are distributed in three cells. Find the conditional probability that all the three occupy the same cell given that atleast two of them are in the same cell. Which values are reflected from tricolour of our national flag? (4)

  3. Show that the four points (0, –1, –1), (–4, 4, 4), (4, 5, 1) and (3, 9, 4) are coplanar. Find the equation of the plane containing them. (6)

  4. A plot is in the form of a rectangle with a semicircular plot along one of the shorter sides. The perimeter of the total plot is 100 m. A farmer wants to use the maximum area for growing the grass. Find the dimensions of the plot so that maximum grass can be planted. (6)

  5. 40% students of a college reside in hostel and the remaining reside outside. At the end of the year, 50% of the hostellers got A grade while from outside students, only 30% got A grade in the examination. At the end of year, a student of the college was choosen at random and was found to get A grade. What is the probability that the selected student was a hosteller? (4)