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Practice Quiz

Data Handling — Practice Quiz

Gujarat Board · Class 8 · Mathematics

Try a 4-question quiz on Data Handling for Gujarat Board Class 8 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions3 formulas & key relations5 concepts

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Quick Quiz: Data Handling

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1

In a pie chart representing monthly expenses of a family, the central angle for food is 120°, for rent is 90°, for education is 60°, and the rest is for savings. If the total monthly income is ₹36,000, what is the amount saved per month?

2

A bag contains 5 red, 3 blue, and 2 green balls. Two balls are drawn one after another without replacement. What is the probability that both balls drawn are red?

3

In a pie chart, a sector representing 'Sports' has a central angle of 72°. If 180 students prefer sports, what is the total number of students surveyed?

4

Numbers 1 to 20 are written on slips and placed in a box. One slip is drawn at random. What is the probability of getting a number that is both a multiple of 3 AND a multiple of 4?

45 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

A die is thrown once. What is the probability of getting a number that is either a factor of 6 or greater than 4?

Show answer

5/6

Step 1: Factors of 6 from 1-6 are: 1, 2, 3, 6. Numbers greater than 4: 5, 6. Step 2: Union of these sets = {1, 2, 3, 5, 6} (6 appears in both sets but counted once). Step 3: Number of favourable outcomes = 5. Step 4: Total outcomes = 6. Probability = 5/6. Common mistake: Students often add both sets separately getting 4+2=6 and write 6/6=1, forgetting that 6 is counted twice (double-counting error).

2multiple choice
1 marks

The following data shows marks of 5 students: 45, 60, 55, 70, 45. In a pie chart representing this data, what is the central angle for the student who scored 60 marks?

Show answer

77.6°

Step 1: Total marks = 45 + 60 + 55 + 70 + 45 = 275. Step 2: Fraction for the student who scored 60 = 60/275. Step 3: Central angle = (60/275) × 360° = 21600/275 = 78.54°. Hmm, let me recalculate: 60/275 × 360 = 60 × 360 / 275 = 21600/275 ≈ 78.5°. So 78.5° is actually closer. Step 4: The answer 78.5° is correct. Common mistake: Adding marks incorrectly or forgetting to multiply the fraction by 360°.

3multiple choice
1 marks

In a class of 40 students, 18 like cricket, 15 like football, and 7 like both. A student is chosen at random. What is the probability that the student likes cricket OR football?

Show answer

13/20

Step 1: Using the addition rule: n(Cricket OR Football) = n(Cricket) + n(Football) - n(Both). Step 2: = 18 + 15 - 7 = 26. Step 3: Probability = 26/40 = 13/20. Step 4: Verification: 26 students like at least one sport out of 40. 13/20 = 0.65. Common mistake: Adding 18 + 15 = 33 without subtracting the 7 students counted twice, giving wrong answer 33/40.

4multiple choice
1 marks

A pie chart shows expenditure distribution. The sector for 'Clothing' spans from 120° to 192° (measured from the same reference radius). What percentage of the total expenditure is spent on clothing?

Show answer

20%

Step 1: Central angle for clothing = 192° - 120° = 72°. Step 2: Percentage = (central angle / 360°) × 100. Step 3: = (72/360) × 100 = (1/5) × 100 = 20%. Step 4: So clothing accounts for 20% of total expenditure. Common mistake: Students sometimes use 120° or 192° directly instead of finding the difference between the two angles to get the sector's angle.

+41 more questions on Data Handling (Gujarat Board Class 8 Mathematics)

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Frequently Asked Questions

What are the important topics in Data Handling for Gujarat Board Class 8 Mathematics?
Key topics in Data Handling include Types of Graphs – A Quick Recap, Pie Chart (Circle Graph), Chance and Probability. Study these first, then practise questions on each for Class 8 exams.
How many practice questions are there for Data Handling?
There are 45 questions on Data Handling. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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