The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions:
- In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)
- How many more marks were obtained by the student in Mathematics than in Hindi?
- Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).
- In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)
- How many more marks were obtained by the student in Mathematics than in Hindi?
- Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).
Solution and Explanation
| Subject | Central Angle | Marks obtained |
|---|---|---|
| Mathematics | \(90\degree\) | \(\frac{90\degree}{360\degree}\times540=135\) |
| Social Science | \(65\degree\) | \(\frac{65\degree}{360\degree}\times540=97.5\) |
| Science | \(80\degree\) | \(\frac{80\degree}{360\degree}\times540=120\) |
| Hindi | \(70\degree\) | \(\frac{70\degree}{360\degree}\times540=105\) |
| English | \(55\degree\) | \(\frac{55\degree}{360\degree}\times540=82.5\) |
(i) The student scored \(105\) marks in Hindi.
(ii) Marks obtained in Mathematics = \(135\)
Marks obtained in Hindi = \(105\)
Difference = \(135 – 105 = 30\)
Thus, \(30\) more marks were obtained by the student in Mathematics than in Hindi.
(iii) The sum of marks in Social Science and Mathematics = \(97.5 + 135 = 232.5\)
The sum of marks in Science and Hindi = \(120 + 105 = 225\)
Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
Top Questions on Circle Graph or Pie Chart
- A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer.
- Which season got the most votes?
- Find the central angle of each sector.
- Draw a pie chart to show this information.
Season Number of votes Summer 90 Rainy 120 Winter 150
- CBSE Class VIII
- Mathematics
- Circle Graph or Pie Chart
- The number of students in a hostel, speaking different languages is given below. Display the data in a pie chart.
Language Hindi English Marathi Tamil Bengali Total Number of students 40 12 9 7 4 72 - CBSE Class VIII
- Mathematics
- Circle Graph or Pie Chart
- Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.
Colours Number of people Blue 18 Green 9 Red 6 Yellow 3 Total 36 - CBSE Class VIII
- Mathematics
- Circle Graph or Pie Chart
- A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.
From this pie chart answer the following:- If 20 people liked classical music, how many young people were surveyed?
- Which type of music is liked by the maximum number of people?
- If a cassette company were to make 1000 CD’s, how many of each type would they make?
- CBSE Class VIII
- Mathematics
- Circle Graph or Pie Chart
Questions Asked in CBSE Class VIII exam
Underline the verbs and arrange them in two columns, Past and Earlier past.
(a) My friends set out to see the caves in the next town, but I stayed at home, because I had seen them already.
(b) When they arrived at the station, their train had left. They came back home, but by that time I had gone out to see a movie!
(c) So they sat outside and ate the lunch I had packed for them.
(d) By the time I returned, they had fallen asleep!
Past Earlier Past - CBSE Class VIII
- The Best Christmas Present in the world
- Subtract 4p2q – 3pq + 5pq2 – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2 + 5p2q
- CBSE Class VIII
- Addition and Subtraction of Algebraic Expressions
Fill in the blanks using the correct form of the verbs in brackets.
My little sister is very naughty. When she ____ (come) back from school yesterday, she had _____(tear) her dress. We _____(ask) her how it had _____(happen). She ______(say) she _____ _____ (have, quarrel) with a boy. She _____ _____ (have, beat) him in a race and he _____ ____ (have, try) to push her. She _____ ____ (have, tell) the teacher and so he _____ _____ (have, chase) her, and she _____ _____ (have, fall) down and _____ _____ (have, tear) her dress.
- CBSE Class VIII
- The Best Christmas Present in the world
- Match the organisms in Column A with their action in Column B.
A
B
(i) Bacteria (a) Fixing nitrogen (ii) Rhizobium (b) Setting of curd (iii) Lactobacillus (c) Baking of bread (iv) Yeast (d) Causing malaria (v) A protozoan (e) Causing cholera (vi) A virus (f) Causing AIDS (g) Producing antibodies - CBSE Class VIII
- Microorganisms
Say whether the following are true or false.
1. Ignesious lost his wife, two children, his father-in-law, and his brother-in-law in the tsunami.
2. Sanjeev made it to safety after the tsunami.
3. Meghna was saved by a relief helicopter.
4. Almas’s father realised that a tsunami was going to hit the island.
5. Her mother and aunts were washed away with the tree that they were holding on to.
- CBSE Class VIII
- The Tsunami