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.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 3.A clock shows 3:33. What time will it show 111 minutes later? (a) 5:34 (b) 6:24 (c) 5:24 (d) 5:14
- 4.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 7.A clock shows 6:19. What time will it show 21 minutes later? (a) 6:30 (b) 7:40 (c) 6:40 (d) 6:50
- 8.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 26.A clock shows 8:48. What time will it show 81 minutes later? (a) 10:19 (b) 11:09 (c) 10:09 (d) 9:59
- 27.A clock shows 1:30. What time will it show 129 minutes later? (a) 4:39 (b) 3:39 (c) 3:49 (d) 3:29
- 28.A clock shows 5:09. What time will it show 12 minutes later? (a) 6:21 (b) 5:31 (c) 5:11 (d) 5:21
- 29.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
- 30.A clock shows 10:06. What time will it show 20 minutes later? (a) 10:36 (b) 10:16 (c) 11:26 (d) 10:26
- 31.A clock shows 4:48. What time will it show 39 minutes later? (a) 5:37 (b) 5:17 (c) 5:27 (d) 6:27
- 32.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 33.A clock shows 6:12. What time will it show 141 minutes later? (a) 9:33 (b) 8:33 (c) 8:23 (d) 8:43
- 34.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 58 minutes? =
Answer key
- 19
- 282
- 5:24
- 35
- 258
- 162
- 6:40
- 49.5
- 78
- 90
- 126
- 112.5
- 36
- 106
- 168
- 50
- 54.5
- 12.5
- 216
- 9
- 114
- 133.5
- 28.5
- 12
- 171
- 10:09
- 3:39
- 5:21
- 57
- 10:26
- 5:27
- 74
- 8:33
- 25.5
- 87
- 76.5
- 36.5
- 98.5
- 108
- 348
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