Units, Time & Money
54 Class 6 IMO Mathematics Olympiad practice questions on units, time & money, part of the Data & Measurement topic area. Every question below includes the correct answer and a full explanation.
Practice this topic interactively →1. How many minutes are there in 2 hours 15 minutes?
- A.120
- B.125
- C.130
- D.135
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Answer: D. 135
2 hours = 120 minutes, plus 15 minutes = 135 minutes.
2. How many 250 mL cups are needed to measure 1000 mL?
- A.4
- B.5
- C.3
- D.6
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Answer: A. 4
1000 ÷ 250 = 4 cups.
3. A clock shows 8:25. What time will it show after 75 minutes?
- A.9:40
- B.9:50
- C.9:00
- D.10:40
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Answer: A. 9:40
8:25 plus 75 minutes is 9:40.
4. One notebook costs ₹40. How much will 2 notebooks cost?
- A.40
- B.80
- C.120
- D.42
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Answer: B. 80
₹40 × 2 = ₹80.
5. A container has 360 litres. If 40 litres are used, how many remain?
- A.320
- B.280
- C.330
- D.400
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Answer: A. 320
360 − 40 = 320 litres.
6. One notebook costs ₹60. How much will 7 notebooks cost?
- A.360
- B.480
- C.67
- D.420
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Answer: D. 420
₹60 × 7 = ₹420.
7. One notebook costs ₹40. How much will 3 notebooks cost?
- A.160
- B.80
- C.120
- D.43
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Answer: C. 120
₹40 × 3 = ₹120.
8. What time does the clock show?
- A.2:00
- B.3:00
- C.4:00
- D.9:00
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Answer: B. 3:00
The hour hand points at 3 and the minute hand points at 12, so the clock reads 3:00.
9. A school bus leaves at 7:35 AM and reaches school at 8:20 AM. How long is the journey?
- A.35 min
- B.40 min
- C.45 min
- D.55 min
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Answer: C. 45 min
From 7:35 to 8:20 is 45 minutes.
10. A family uses 18 litres of water per day for a particular purpose. How much is used in 25 days?
- A.400 L
- B.425 L
- C.450 L
- D.475 L
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Answer: C. 450 L
18 × 25 = 450 L.
11. A train travels 180 km in 3 hours at constant speed. How far will it travel in 5 hours?
- A.240 km
- B.270 km
- C.300 km
- D.360 km
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Answer: C. 300 km
Speed = 180÷3 = 60 km/h. In 5 hours: 60×5 = 300 km.
12. A water bottle holds 750 mL. How many such bottles are needed to hold exactly 6 litres?
- A.6
- B.7
- C.8
- D.9
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Answer: C. 8
6000 mL ÷ 750 mL = 8.
13. A movie starts at 5:45 PM and lasts 2 hours 35 minutes. When does it finish?
- A.7:50 PM
- B.8:10 PM
- C.8:20 PM
- D.8:30 PM
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Answer: C. 8:20 PM
5:45 PM + 2h35m = 8:20 PM.
14. A tap fills a tank at 5 litres per minute. How long will it take to fill a 120-litre tank?
- A.20 min
- B.22 min
- C.24 min
- D.25 min
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Answer: C. 24 min
120 ÷ 5 = 24 minutes.
15. Convert 3.5 kg into grams.
- A.350 g
- B.3500 g
- C.35000 g
- D.3050 g
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Answer: B. 3500 g
1 kg = 1000 g, so 3.5 × 1000 = 3500 g.
16. A shop is open from 9:30 AM to 8:00 PM. For how many hours is it open?
- A.9 h 30 min
- B.10 h
- C.10 h 30 min
- D.11 h
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Answer: C. 10 h 30 min
From 9:30 AM to 8:00 PM is 10 hours 30 minutes.
17. ₹1 = 100 paise. How many rupees is 3450 paise?
- A.₹3.45
- B.₹34.50
- C.₹345.00
- D.₹3450
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Answer: B. ₹34.50
3450 ÷ 100 = 34.50 rupees.
18. How many seconds are there in 1/4 of an hour?
- A.600
- B.750
- C.900
- D.1000
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Answer: C. 900
1/4 hour = 15 minutes = 15×60 = 900 seconds.
19. A jug holds 2 litres. How many 250 mL glasses can be filled completely from it?
- A.6
- B.7
- C.8
- D.9
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Answer: C. 8
2 litres = 2000 mL. 2000 ÷ 250 = 8 glasses.
20. One notebook costs ₹25. How much will 8 notebooks cost?
- A.175
- B.33
- C.200
- D.225
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Answer: C. 200
₹25 × 8 = ₹200.
21. A clock shows 9:25. What time will it show after 20 minutes?
- A.10:45
- B.9:55
- C.9:05
- D.9:45
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Answer: D. 9:45
9:25 plus 20 minutes is 9:45.
22. One notebook costs ₹90. How much will 5 notebooks cost?
- A.450
- B.360
- C.95
- D.540
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Answer: A. 450
₹90 × 5 = ₹450.
23. A container has 180 litres. If 30 litres are used, how many remain?
- A.160
- B.210
- C.120
- D.150
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Answer: D. 150
180 − 30 = 150 litres.
24. A clock shows 9:45. What time will it show after 35 minutes?
- A.11:20
- B.10:30
- C.10:40
- D.10:20
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Answer: D. 10:20
9:45 plus 35 minutes is 10:20.
25. A container has 180 litres. If 50 litres are used, how many remain?
- A.130
- B.140
- C.230
- D.80
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Answer: A. 130
180 − 50 = 130 litres.
26. A clock shows 10:20. What time will it show after 50 minutes?
- A.11:30
- B.11:10
- C.11:20
- D.12:10
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Answer: B. 11:10
10:20 plus 50 minutes is 11:10.
27. A clock shows 9:05. What time will it show after 75 minutes?
- A.11:20
- B.10:40
- C.10:20
- D.10:30
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Answer: C. 10:20
9:05 plus 75 minutes is 10:20.
28. One notebook costs ₹25. How much will 7 notebooks cost?
- A.150
- B.200
- C.32
- D.175
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Answer: D. 175
₹25 × 7 = ₹175.
29. What time does the clock show?
- A.6:00
- B.6:30
- C.7:30
- D.12:30
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Answer: B. 6:30
The hour hand is just past 6 (since 30 minutes have passed) and the minute hand points at the 6 mark, so the time is 6:30.
30. What is the angle between the hour and minute hands at this time?
- A.0°
- B.90°
- C.180°
- D.270°
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Answer: A. 0°
At 12:00, both hands point straight up at 12 — there is no gap between them, so the angle is 0°.
31. A clock shows the time in the picture. What time will it show 2 hours later?
- A.10:00
- B.11:00
- C.12:00
- D.1:00
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Answer: B. 11:00
9:00 plus 2 hours is 11:00 — just add the hours directly since the minutes don't change.
32. A car travels 240 km using 20 litres of petrol. How far can it travel on 35 litres, at the same rate?
- A.380
- B.400
- C.410
- D.420
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Answer: D. 420
Rate = 240÷20 = 12 km per litre. 12×35 = 420 km.
33. A worker earns ₹450 per day. How much does she earn in 3 weeks, working 6 days a week?
- A.7800
- B.8000
- C.8100
- D.8400
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Answer: C. 8100
18 working days × ₹450 = ₹8,100.
34. A recipe requires 250 g of rice per person. How many kilograms of rice are needed for 12 people?
- A.2.5
- B.2.75
- C.3
- D.3.25
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Answer: C. 3
250 × 12 = 3000 g = 3 kg.
35. How many 250 mL cups are needed to measure 2500 mL?
- A.10
- B.11
- C.9
- D.12
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Answer: A. 10
2500 ÷ 250 = 10 cups.
36. How many 250 mL cups are needed to measure 2000 mL?
- A.8
- B.9
- C.10
- D.7
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Answer: A. 8
2000 ÷ 250 = 8 cups.
37. How many 250 mL cups are needed to measure 1500 mL?
- A.5
- B.6
- C.8
- D.7
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Answer: B. 6
1500 ÷ 250 = 6 cups.
38. A container has 300 litres. If 50 litres are used, how many remain?
- A.200
- B.350
- C.260
- D.250
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Answer: D. 250
300 − 50 = 250 litres.
39. A clock shows 10:45. What time will it show after 75 minutes?
- A.12:10
- B.12:20
- C.13:00
- D.12:00
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Answer: D. 12:00
10:45 plus 75 minutes is 12:00.
40. A clock shows 7:05. What time will it show after 20 minutes?
- A.7:25
- B.7:35
- C.8:25
- D.7:45
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Answer: A. 7:25
7:05 plus 20 minutes is 7:25.
41. One notebook costs ₹40. How much will 8 notebooks cost?
- A.48
- B.360
- C.320
- D.280
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Answer: C. 320
₹40 × 8 = ₹320.
42. A container has 300 litres. If 25 litres are used, how many remain?
- A.275
- B.250
- C.325
- D.285
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Answer: A. 275
300 − 25 = 275 litres.
43. A clock shows 7:20. What time will it show after 75 minutes?
- A.8:35
- B.8:55
- C.8:45
- D.9:35
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Answer: A. 8:35
7:20 plus 75 minutes is 8:35.
44. What is the angle between the hour and minute hands at 3:00?
- A.45°
- B.60°
- C.90°
- D.120°
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Answer: C. 90°
Each hour mark on a clock represents 30° (360° ÷ 12 hours). At 3:00 the hour hand is at the 3 (90° from 12) and the minute hand is at 12 (0°), so the angle between them is 90°. Remember this rule — each hour gap is always 30°.
45. What is the angle between the hour hand and minute hand at 6:00?
- A.90°
- B.150°
- C.180°
- D.270°
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Answer: C. 180°
At 6:00 the hour hand points at 6 and the minute hand points at 12 — exactly halfway around the clock face, so the angle is 180°.
46. Two clocks are set correctly at 12:00 noon. One gains 2 minutes every hour and the other loses 1 minute every hour. What is the difference between their times after 4 hours?
- A.8
- B.10
- C.12
- D.16
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Answer: C. 12
After 4 hours, the first clock is 8 minutes ahead and the second is 4 minutes behind — a total difference of 12 minutes.
47. How many 250 mL cups are needed to measure 500 mL?
- A.2
- B.3
- C.1
- D.4
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Answer: A. 2
500 ÷ 250 = 2 cups.
48. A container has 120 litres. If 30 litres are used, how many remain?
- A.100
- B.60
- C.90
- D.150
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Answer: C. 90
120 − 30 = 90 litres.
49. A clock shows 9:15. What time will it show after 75 minutes?
- A.11:30
- B.10:50
- C.10:30
- D.10:40
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Answer: C. 10:30
9:15 plus 75 minutes is 10:30.
50. One notebook costs ₹90. How much will 6 notebooks cost?
- A.630
- B.96
- C.540
- D.450
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Answer: C. 540
₹90 × 6 = ₹540.
51. A container has 240 litres. If 25 litres are used, how many remain?
- A.215
- B.225
- C.190
- D.265
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Answer: A. 215
240 − 25 = 215 litres.
52. A clock shows 6:05. What time will it show after 20 minutes?
- A.6:45
- B.6:25
- C.7:25
- D.6:35
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Answer: B. 6:25
6:05 plus 20 minutes is 6:25.
53. A container has 240 litres. If 20 litres are used, how many remain?
- A.260
- B.230
- C.220
- D.200
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Answer: C. 220
240 − 20 = 220 litres.
54. One notebook costs ₹25. How much will 4 notebooks cost?
- A.125
- B.100
- C.75
- D.29
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Answer: B. 100
₹25 × 4 = ₹100.