Mathematics Worksheet: Data Handling (Preparatory Stage)
Based on NCERT/CBSE and "Data Through Pictures". Practice reading, drawing, and interpreting pictographs, tables, and bar graphs—with real-world connection!
Concepts
- What is a pictograph?
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Answer: A way of representing data using pictures or symbols.Show Solution
Solution: Each symbol stands for a fixed number of objects (e.g., 1 toy or 5 children). - How does a bar graph show information?
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Answer: By using bars of equal width, length shows value for each category.Show Solution
Solution: Taller (longer) bar = greater value (time or objects). - In data tables, what does each row usually show?
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Answer: An individual entry or case (example: a child’s TV time)Show Solution
Solution: Each row has data for one case/person/observation. - If one picture in a pictograph represents 5 candies, what does 4 pictures mean?
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Answer: 20 candiesShow Solution
Solution: 4 × 5 = 20 candies - What is the 'scale' in a pictograph?
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Answer: The value each picture or symbol stands for.Show Solution
Solution: E.g., if one pic = 10 balls, then scale = 10. - How do you read the total from a bar graph?
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Answer: Add up the heights (lengths) of all bars.Show Solution
Solution: Count values for all categories. - Give an example of daily life where data can be shown by pictograph.
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Answer: Absentees in class, fruits sold, TV time, toys in shopShow Solution
Solution: Whenever counting many items/people in groups. - What does a double-length bar in a bar graph mean compared to a single bar?
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Answer: Twice the value/quantityShow Solution
Solution: Bar length proportional to value shown. - When can a tally mark table be useful?
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Answer: When counting into groups quickly (e.g. favourite fruit votes, bus tally).Show Solution
Solution: Easy to count by 5s: IIII / IIII = 10. - True or False: Every bar graph is based on a table of values.
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Answer: TrueShow Solution
Solution: Bar graphs visualize numerical data that was first listed in a table.
Computational Skills
- If one picture in a pictograph stands for 4 balls, and there are 7 pictures, how many balls?
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Answer: 28 ballsShow Solution
Solution: 7 × 4 = 28 - From the pictograph: 8 toy cars (each pic = 2 cars); how many pictures?
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Answer: 4 picturesShow Solution
Solution: 8 ÷ 2 = 4 - If Dipesh uses a scale of 1 picture = 5 items, and there are 7 pictures for toys and 6 pictures for board games, how many items?
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Answer: Toys: 35, Board games: 30Show Solution
Solution: 7 × 5 = 35; 6 × 5 = 30 - If Friday had 9 motorbike pictures (scale: 3 two-wheelers per picture), how many bikes?
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Answer: 27 two-wheelersShow Solution
Solution: 9 × 3 = 27 - How much total food wastage in kg over 5 days if each day's waste (kg): 3+2+4+5+6?
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Answer: 20 kgShow Solution
Solution: Add all days (from school canteen graph example). - If 1 kg food waste feeds 3 children, how many children could 12 kg waste feed?
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Answer: 36 childrenShow Solution
Solution: 12 × 3 = 36 - On which day was the food wastage the least, if wastage for the week: 4, 2, 3, 1, 5 kg?
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Answer: Thursday (1 kg)Show Solution
Solution: Compare values, lowest is least waste. - On a bar graph, if 2 hours sleep = 4 units, how long is 8 units?
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Answer: 4 hoursShow Solution
Solution: 8 units ÷ 4 units per 2 hours = 2 × 2 = 4 hours. - In Sheela's bar graph, eating is at 2 units, school at 8, study at 4, sleep at 9. Which takes most time?
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Answer: Sleeping (9 units)Show Solution
Solution: 9 is tallest (most time spent). - If Raman spends 6 hours at school, 4 hours studying, and 2 hours eating/playing, what is the total?
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Answer: 12 hoursShow Solution
Solution: 6 + 4 + 2 = 12
Problem-Solving & Real World Modeling
- Interpret: If 15 children watch TV for 2+ hours daily, and 20 watch for less, what is the % watching more?
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Answer: 43%Show Solution
Solution: 15/(15+20) = 15/35 ≈ 43% - True or False: More children watch TV for 2 hours than for 1/2 hour.
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Answer: TrueShow Solution
Solution: See sample table, count number of children greater for 2 hours. - If Joseph’s Uncle has 6 pictures for toys, 5 for board games, 4 for sports items (one pic = 5 items), how many items?
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Answer: Toys 30, board games 25, sports items 20Show Solution
Solution: 6×5, 5×5, 4×5 - Change the pictograph scale: If each picture = 10, how many pictures are needed for 40 items?
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Answer: 4 picturesShow Solution
Solution: 40 ÷ 10 = 4 - Monday: 6 bike pics, Wed: 4 bike pics (scale: 3 per pic). How many more on Mon than Wed?
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Answer: 6Show Solution
Solution: (6-4) x 3 = 6 more bikes on Mon. - What can Joseph Uncle do to show data with large numbers easier?
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Answer: Use a larger scale (e.g., 1 pic = 10 or 20 items).Show Solution
Solution: Fewer pictures needed for big numbers. - In the school canteen, food wastage is recorded for 5 days: 3, 5, 2, 6, and 4 kg. What is the average per day?
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Answer: 4 kg/dayShow Solution
Solution: (3+5+2+6+4) / 5 = 20 / 5 = 4 kg per day - In Sheela's and Raman's routines, if Sheela studies 2 more hours than Raman, who spends more time eating if both eat same meals?
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Answer: Both spend equal time on eating if meals match.Show Solution
Solution: Compare only the “eating” row from tables/graphs. - List two ways to reduce food waste in a school canteen using data interpretation.
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Answer: Serve smaller portions, use leftovers efficiently, educate students.Show Solution
Solution: Use waste patterns to plan better, communicate via graphs. - Challenge: Your class's "index finger bar graph"—if one bar is 9 cm and the shortest is 5 cm, what is the average if total 6 bars sum to 42 cm?
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Answer: 7 cmShow Solution
Solution: 42 cm ÷ 6 = 7 cm per bar (average length)