Clock Reasoning Worksheet
How to think it through (30h − 5.5m): Minute hand angle (from 12) = minutes × 6. Hour hand angle = hours × 30 + minutes × 0.5. Angle between them = the difference; if it is more than 180°, take it away from 360°.
NameDateTime takenScore ___ / 40
- 1.A clock shows 11:05. What time will it show 27 minutes later? (a) 11:42 (b) 12:32 (c) 11:22 (d) 11:32
- 2.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 3.A clock shows 9:51. What time will it show 87 minutes later? (a) 11:08 (b) 11:28 (c) 12:18 (d) 11:18
- 4.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 7.A clock shows 7:48. What time will it show 32 minutes later? (a) 8:10 (b) 8:30 (c) 8:20 (d) 9:20
- 8.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 14.A clock shows 3:04. What time will it show 121 minutes later? (a) 6:05 (b) 5:15 (c) 4:55 (d) 5:05
- 15.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 16.A clock shows 8:40. What time will it show 31 minutes later? (a) 9:21 (b) 10:11 (c) 9:01 (d) 9:11
- 17.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 19.A clock shows 5:36. What time will it show 36 minutes later? (a) 6:12 (b) 6:22 (c) 6:02 (d) 7:12
- 20.A clock shows 3:28. What time will it show 54 minutes later? (a) 4:32 (b) 5:22 (c) 4:12 (d) 4:22
- 21.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:49? (in degrees) =
- 23.A clock shows 11:45. What time will it show 115 minutes later? (a) 1:40 (b) 2:40 (c) 1:30 (d) 1:50
- 24.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 29.A clock shows 4:01. What time will it show 74 minutes later? (a) 5:25 (b) 5:05 (c) 6:15 (d) 5:15
- 30.A clock shows 8:03. What time will it show 156 minutes later? (a) 11:39 (b) 10:29 (c) 10:39 (d) 10:49
- 31.A clock shows 9:33. What time will it show 32 minutes later? (a) 11:05 (b) 10:05 (c) 10:15 (d) 9:55
- 32.A clock shows 9:05. What time will it show 71 minutes later? (a) 11:16 (b) 10:26 (c) 10:16 (d) 10:06
- 33.A clock shows 8:12. What time will it show 61 minutes later? (a) 10:13 (b) 9:03 (c) 9:23 (d) 9:13
- 34.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 36.A clock shows 11:20. What time will it show 86 minutes later? (a) 12:56 (b) 12:46 (c) 1:46 (d) 12:36
- 37.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 38.A clock shows 12:05. What time will it show 92 minutes later? (a) 1:37 (b) 1:27 (c) 2:37 (d) 1:47
- 39.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 90 minutes? =
Answer key
- 11:32
- 66
- 11:18
- 7
- 45
- 77.5
- 8:20
- 14.5
- 276
- 90
- 234
- 166
- 82.5
- 5:05
- 324
- 9:11
- 18
- 342
- 6:12
- 4:22
- 35
- 60.5
- 1:40
- 162
- 30
- 105.5
- 294
- 144
- 5:15
- 10:39
- 10:05
- 10:16
- 9:13
- 29.5
- 166
- 12:46
- 28.5
- 1:37
- 300
- 45
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