Data Handling and Probability (Class 8)

What this worksheet covers

This is an eighteen-question practice worksheet on data handling, graphs and probability for Class 8, written to the pattern of the SOF International Mathematics Olympiad (IMO). It carries 24 marks and is designed to be attempted in 45 minutes, split across three sections — Mathematical Reasoning, Everyday Mathematics and Reasoning and Achievers Section. Every question is multiple choice with exactly one correct option, and every one comes with a fully worked solution rather than just an answer key — so a child who gets one wrong can see where the reasoning went astray instead of only learning that it did.

Skills your child practises

• Applied problem-solving on data handling, graphs and probability at Class 8 level
• Working accurately against a time limit, as the real paper demands
• Mathematical Reasoning questions in the olympiad format
• Everyday Mathematics and Reasoning questions in the olympiad format
• Achievers Section questions in the olympiad format
• Reading worked solutions to find the step that went wrong

How to use it

1. 1There are 18 questions in this worksheet. All questions are compulsory.
2. 2Each question has four options (A), (B), (C) and (D). Exactly one option is correct.
3. 3Questions 1–15 carry 1 mark each. Questions 16–18 (Achievers Section) carry 3 marks each.
4. 4There is no negative marking. Use of a calculator is not allowed.
5. 5Read every graph and table carefully before answering.

Sample questions from this worksheet

A preview of what's inside Data Handling and Probability (Class 8) — the PDF has the full set, and every question comes with a worked solution like these.

1. 1. The observation that occurs most often in a set of data is called the _______.

   • AModecorrect
   • BMedian
   • CMean
   • DRange
   Solution: The mode is the most frequently occurring observation. The mean is the average, the median is the middle value when the data are arranged in order, and the range is the difference between the largest and smallest values.

2. 2. A bag contains 5 red, 3 blue and 2 green balls of the same size. One ball is drawn at random. What is the probability that it is red?

   • A{1/5}
   • B{3/10}
   • C{5/3}
   • D{1/2}correct
   Solution: Total balls = 5 + 3 + 2 = 10, of which 5 are red.
   P(red) = {5/10} = {1/2}.

3. 3. Consider the following statements.(i) The probability of an event can never be greater than 1.(ii) The mean of a set of data is always one of the observations in that set.(iii) In the class interval 20–30, the observation 30 is counted in the class 30–40.Which of the statements is/are correct?

   • A(i) and (ii) only
   • B(i) and (iii) onlycorrect
   • C(ii) and (iii) only
   • DAll three
   Solution: Statement (i) is true — probability always lies between 0 and 1. Statement (ii) is false; the mean of 5 and 10 is 7.5, which is neither observation. Statement (iii) is true; in the continuous form used here, the upper limit belongs to the next class, so each observation is counted only once. Hence (i) and (iii).