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 10:12. What time will it show 79 minutes later? (a) 11:31 (b) 11:21 (c) 12:31 (d) 11:41
- 2.A clock shows 10:27. What time will it show 158 minutes later? (a) 1:05 (b) 12:55 (c) 2:05 (d) 1:15
- 3.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
- 4.A clock shows 3:51. What time will it show 15 minutes later? (a) 4:06 (b) 5:06 (c) 4:16 (d) 3:56
- 5.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
- 9.A clock shows 2:33. What time will it show 34 minutes later? (a) 3:07 (b) 3:17 (c) 2:57 (d) 4:07
- 10.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 13.A clock shows 11:05. What time will it show 151 minutes later? (a) 1:26 (b) 1:36 (c) 2:36 (d) 1:46
- 14.A clock shows 4:09. What time will it show 102 minutes later? (a) 5:51 (b) 5:41 (c) 6:51 (d) 6:01
- 15.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 16.A clock shows 7:28. What time will it show 47 minutes later? (a) 8:25 (b) 9:15 (c) 8:05 (d) 8:15
- 17.A clock shows 2:26. What time will it show 33 minutes later? (a) 2:49 (b) 3:59 (c) 2:59 (d) 3:09
- 18.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 22.A clock shows 3:25. What time will it show 93 minutes later? (a) 4:48 (b) 4:58 (c) 5:08 (d) 5:58
- 23.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 27.A clock shows 2:10. What time will it show 132 minutes later? (a) 4:12 (b) 4:32 (c) 5:22 (d) 4:22
- 28.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 29.A clock shows 5:15. What time will it show 55 minutes later? (a) 7:10 (b) 6:20 (c) 6:00 (d) 6:10
- 30.A clock shows 9:41. What time will it show 75 minutes later? (a) 10:46 (b) 11:56 (c) 11:06 (d) 10:56
- 31.A clock shows 5:47. What time will it show 117 minutes later? (a) 7:44 (b) 8:44 (c) 7:34 (d) 7:54
- 32.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 33.A clock shows 7:43. What time will it show 97 minutes later? (a) 9:20 (b) 9:10 (c) 9:30 (d) 10:20
- 34.A clock shows 9:54. What time will it show 83 minutes later? (a) 11:07 (b) 12:17 (c) 11:17 (d) 11:27
- 35.How many degrees does the hour hand of a clock turn in 147 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
Answer key
- 11:31
- 1:05
- 133
- 4:06
- 228
- 31
- 152.5
- 107
- 3:07
- 31
- 24
- 31.5
- 1:36
- 5:51
- 216
- 8:15
- 2:59
- 276
- 81
- 163.5
- 30
- 4:58
- 149
- 252
- 117
- 12
- 4:22
- 8.5
- 6:10
- 10:56
- 7:44
- 7.5
- 9:20
- 11:17
- 73.5
- 2
- 85.5
- 21
- 168
- 38
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