Percentage: Marks and Examination Percentage

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Practice Questions

Examination problems link marks scored, maximum marks, pass marks, and percentage scores. Percentage = (marks obtained/maximum marks) × 100.

If pass marks are 40% of maximum M, pass marks = 0.4M.

If a student scores 30% and fails by 30 marks while pass is 40%, then 10% of max = 30, so max = 300.

Convert each score to a percentage of respective maximum before comparing.

Q1 Easy

In an examination, pass marks are 40% of the maximum marks. A student scores 30% and fails by 30 marks. What is the maximum marks of the examination?
Q2 Easy

A student needs 35% marks to pass an examination of 800 marks. If she scores 252 marks, by how many marks does she fail or pass?
Q3 Easy

In an examination, 65% of 400 marks is required for distinction. How many marks are needed for distinction?
Q4 Medium

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
Q5 Medium

In an examination, a candidate must secure 40% marks to pass. A candidate, who gets 220 marks fails by 20 marks. What are the maximum marks for the examination?
Q6 Medium

In an examination it is required to get 36% of maximum marks to pass. A student getting 113 marks and declared failed by 85 marks. The maximum marks are:
Q7 Medium

A student scores 40% of marks and fails by 40 marks in the examination; another student scores 60% and scores 20 more than passing marks. Find the maximum marks for the examination.

Q8 Medium

In an examination, there are three subjects of 100 marks each. A student scores 60% in the first subject and 80% in the second subject. He scored 70% in aggregate. His percentage of marks in the third subject is:
Q9 Medium

Ravi scored 540 marks out of 600 in one test and Mohan scored 425 marks out of 500 in another test. Who obtained the higher percentage of marks?
Q10 Medium

In a test of 750 marks, a student obtains 82% marks. How many marks did the student score?
Q11 Medium

Priya scored 84 marks out of 120 and Kiran scored 105 marks out of 150 in the same aptitude round. Who has the higher percentage score?
Q12 Hard

In an examination, there are three papers and a candidate has got 35% of the total to pass. In one paper, he gets 62 out of 150 and in the second 35 out of 150. How much must he get, out of 180, in the third paper to just qualify for a pass?
Q13 Hard

A student scores 35% marks and fails by 65 marks, while the pass marks are 45% of the maximum marks. What is the maximum marks of the examination?
Q14 Hard

A student obtains 45% marks and still fails by 10 marks in an examination where pass marks are 50% of the total marks. What is the maximum marks of the examination?