Data Handling & Presentation
26 Class 6 IMO Mathematics Olympiad practice questions on data handling & presentation, part of the Data & Measurement topic area. Every question below includes the correct answer and a full explanation.
Practice this topic interactively →1. In a pictograph, 1 symbol = 20 apples. If a row has 3 symbols, how many apples does it represent?
- A.40
- B.50
- C.60
- D.80
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Answer: C. 60
3 symbols × 20 apples each = 60 apples.
2. A table shows the number of visitors on three days: Monday 4, Tuesday 6, Wednesday 3. What is the total number of visitors over the three days?
- A.11
- B.12
- C.13
- D.14
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Answer: C. 13
4 + 6 + 3 = 13.
3. In the pictograph shown, 1 symbol = 10 units. How many units does Tuesday represent?
- A.30
- B.40
- C.50
- D.60
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Answer: C. 50
Tuesday's row has 5 symbols: 5 × 10 = 50.
4. The bar graph shows sales over four days. On which day were sales the lowest?
- A.Mon
- B.Tue
- C.Wed
- D.Thu
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Answer: C. Wed
Wednesday's bar is the shortest, at 15.
5. In a pictograph, 1 symbol = 50 books. A library shows Fiction with 4 symbols and Non-fiction with 3 symbols. How many more fiction books are there than non-fiction books?
- A.25
- B.50
- C.75
- D.100
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Answer: B. 50
Fiction = 4×50 = 200, Non-fiction = 3×50 = 150. Difference = 200 − 150 = 50.
6. A table shows fruits sold: Apples 45, Bananas 60, Oranges 35. What is the total number of fruits sold?
- A.130
- B.135
- C.140
- D.145
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Answer: C. 140
45 + 60 + 35 = 140.
7. In a pictograph, 1 symbol = 25 students. If a class has 125 students, how many symbols are needed to represent this class?
- A.4
- B.5
- C.6
- D.7
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Answer: B. 5
125 ÷ 25 = 5 symbols.
8. In the pictograph shown, 1 symbol = 15 units. What is the total across all three colours?
- A.150
- B.165
- C.180
- D.195
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Answer: C. 180
Total symbols = 4+2+6 = 12. 12 × 15 = 180.
9. In the pictograph shown, 1 symbol = 25 fruits. How many more mangoes are there than apples?
- A.50
- B.75
- C.100
- D.125
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Answer: B. 75
Mangoes = 5×25 = 125, Apples = 2×25 = 50. Difference = 125 − 50 = 75.
10. Using the bar graph shown, what is the total of all four values?
- A.54
- B.57
- C.60
- D.63
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Answer: C. 60
12 + 18 + 9 + 21 = 60.
11. The Venn diagram shows students who like Cricket and Football. How many students like at least one of the two sports?
- A.23
- B.31
- C.33
- D.35
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Answer: C. 33
Add every region of the diagram: only Cricket (15) + only Football (10) + both (8) = 33 students like at least one sport.
12. How many people like only Tea (and not Coffee)?
- A.9
- B.12
- C.15
- D.18
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Answer: B. 12
The 'only Tea' region (not overlapping with Coffee) already shows 12 — no further calculation is needed. Remember: the overlapping middle region represents 'both', not 'either'.
13. In a survey, 80 students like Cricket, and the number who like Football is 3/5 of that. How many students like Football?
- A.36
- B.42
- C.48
- D.54
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Answer: C. 48
3/5 × 80 = 48.
14. A bar graph shows umbrella sales over 4 days: 12, 18, 9, 21. What is the average number of umbrellas sold per day?
- A.12
- B.14
- C.15
- D.16
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Answer: C. 15
(12+18+9+21) ÷ 4 = 60 ÷ 4 = 15.
15. In a pictograph, 1 symbol = 40 mangoes. Shop A's row has 6 symbols and Shop B's row has 4 symbols. How many more mangoes did Shop A sell than Shop B?
- A.40
- B.60
- C.80
- D.100
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Answer: C. 80
Shop A = 6×40 = 240, Shop B = 4×40 = 160. Difference = 240 − 160 = 80.
16. A table shows visitors to a museum: Monday 90, Tuesday 120, Wednesday 75, Thursday 100. Which day's visitor count is closest to the 4-day average?
- A.Monday
- B.Tuesday
- C.Wednesday
- D.Thursday
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Answer: D. Thursday
Average = (90+120+75+100)÷4 = 96.25. Thursday (100) is only 3.75 away — the closest of all four.
17. A shop sold 130 pens. If 1 pictograph symbol = 20 pens, how many symbols should be drawn (allowing a half symbol)?
- A.6
- B.6.5
- C.7
- D.7.5
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Answer: B. 6.5
130 ÷ 20 = 6.5 symbols — 6 full symbols plus one half symbol.
18. A table lists books read by 5 friends: Aisha 4, Rohan 7, Meena 5, Karan 6, Zoya 3. What is the difference between the highest and lowest number of books read?
- A.3
- B.4
- C.5
- D.6
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Answer: B. 4
Highest = 7 (Rohan), lowest = 3 (Zoya). Difference = 7 − 3 = 4.
19. The bar graph shows rainfall (in mm) over three months. What is the average rainfall over these months?
- A.35
- B.38
- C.40
- D.45
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Answer: C. 40
(40+55+25) ÷ 3 = 120 ÷ 3 = 40.
20. How many students like Maths in total (including those who like both)?
- A.20
- B.24
- C.30
- D.34
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Answer: C. 30
Everyone who likes Maths is either in the 'only Maths' region or the 'both' region: 20 + 10 = 30.
21. How many students like exactly one of the two pets (not both)?
- A.23
- B.30
- C.35
- D.17
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Answer: B. 30
'Exactly one' means only the two outer regions, excluding the overlap: 18 (only Dogs) + 12 (only Cats) = 30.
22. How many students were surveyed in total?
- A.38
- B.45
- C.47
- D.51
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Answer: C. 47
The total surveyed is every region of the diagram added together: 22 + 16 + 9 = 47.
23. A pictograph shows cars sold, where 1 full symbol = 10 cars and a half symbol = 5 cars. A dealer's row has 3 full symbols and 1 half symbol. How many cars were sold?
- A.30
- B.32
- C.35
- D.40
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Answer: C. 35
3×10 + 5 = 35.
24. In a pictograph, 1 symbol = 4 students. A row shows 2.5 symbols. How many students does this represent?
- A.8
- B.9
- C.10
- D.12
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Answer: C. 10
2.5 × 4 = 10.
25. Monthly rainfall (in mm) for 4 months was 120, 200, 180, 90. What is the average monthly rainfall?
- A.145
- B.147.5
- C.150
- D.152.5
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Answer: B. 147.5
(120+200+180+90) ÷ 4 = 590 ÷ 4 = 147.5.
26. How many students like Bananas but not Apples?
- A.7
- B.11
- C.18
- D.25
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Answer: B. 11
'Bananas but not Apples' is exactly the 'only Bananas' region, which is 11 — the overlap (7) is excluded because those students like both fruits.