Tales By Dots and Lines — Class 8 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Tales By Dots and Lines" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "Tales By Dots and Lines" — 8 important questions with detailed answers for CBSE boa…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

The scores of 10 students in a test are: 45, 50, 55, 60, 65, 70, 75, 80, 85, …
In a class, 60 students play cricket, 40 play football, and 20 play both. How…
A pie chart shows the distribution of 180 students into four streams: Science…
From a bag containing 5 red balls and 3 blue balls, what is the probability o…
A coin is tossed. What is the probability of getting heads?
The marks of 8 students are 35, 42, 55, 60, 68, 72, 85, 90. Find the median.
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
The scores of 10 students in a test are: 45, 50, 55, 60, …	✓ Solved
In a class, 60 students play cricket, 40 play football, a…	✓ Solved
A pie chart shows the distribution of 180 students into f…	✓ Solved
From a bag containing 5 red balls and 3 blue balls, what …	✓ Solved
A coin is tossed. What is the probability of getting heads?	✓ Solved
The marks of 8 students are 35, 42, 55, 60, 68, 72, 85, 9…	✓ Solved

Showing 6 of 8 questions

Q1: The scores of 10 students in a test are: 45, 50, 55, 60, 65, 70, 75, 80, 85, 90. Find the mean score.

Step 1: Mean = Sum of all scores / Number of students Step 2: Sum = 45 + 50 + 55 + 60 + 65 + 70 + 75 + 80 + 85 + 90 = 675 Step 3: Number of students = 10 Step 4: Mean = 675 / 10 = 67.5 Step 5: The mean score is 67.5

Q2: In a class, 60 students play cricket, 40 play football, and 20 play both. How many students play at least one sport?

Step 1: Using the principle: Total = Cricket + Football − Both Step 2: Total = 60 + 40 − 20 = 80 Step 3: 80 students play at least one sport

Q3: A pie chart shows the distribution of 180 students into four streams: Science (90), Commerce (45), Humanities (36), and Vocational (9). What angle should be allocated to each stream?

Step 1: Angle = (Frequency / Total) × 360° Step 2: Science: (90/180) × 360° = (1/2) × 360° = 180° Step 3: Commerce: (45/180) × 360° = (1/4) × 360° = 90° Step 4: Humanities: (36/180) × 360° = (1/5) × 360° = 72° Step 5: Vocational: (9/180) × 360° = (1/20) × 360° = 18° Step 6: Total: 180° + 90° + 72° + 18° = 360° ✓

Q4: From a bag containing 5 red balls and 3 blue balls, what is the probability of drawing a red ball?

Step 1: Probability = Favorable outcomes / Total possible outcomes Step 2: Total balls = 5 + 3 = 8 Step 3: Favorable outcomes (red balls) = 5 Step 4: Probability of drawing red ball = 5/8

Q5: A coin is tossed. What is the probability of getting heads?

Step 1: A coin has two equally likely outcomes: heads or tails. Step 2: Favorable outcomes (heads) = 1 Step 3: Total possible outcomes = 2 Step 4: Probability of heads = 1/2 = 0.5

Q6: The marks of 8 students are 35, 42, 55, 60, 68, 72, 85, 90. Find the median.

Step 1: Arrange in ascending order (already arranged): 35, 42, 55, 60, 68, 72, 85, 90 Step 2: Number of values = 8 (even) Step 3: Median = (Middle two values) / 2 = (60 + 68) / 2 Step 4: Median = 128 / 2 = 64

Showing 6 of 8 questions. Visit the full page for complete solutions.