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 4:53. What time will it show 119 minutes later? (a) 7:52 (b) 6:42 (c) 6:52 (d) 7:02
- 2.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 4.A clock shows 4:36. What time will it show 119 minutes later? (a) 7:35 (b) 6:25 (c) 6:45 (d) 6:35
- 5.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 8.A clock shows 6:24. What time will it show 69 minutes later? (a) 7:43 (b) 7:33 (c) 7:23 (d) 8:33
- 9.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 6:57? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
- 13.A clock shows 2:41. What time will it show 117 minutes later? (a) 4:38 (b) 5:38 (c) 4:28 (d) 4:48
- 14.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 15.A clock shows 6:55. What time will it show 37 minutes later? (a) 7:42 (b) 8:32 (c) 7:32 (d) 7:22
- 16.A clock shows 9:13. What time will it show 129 minutes later? (a) 11:12 (b) 12:22 (c) 11:32 (d) 11:22
- 17.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 22.A clock shows 7:32. What time will it show 48 minutes later? (a) 8:10 (b) 8:20 (c) 8:30 (d) 9:20
- 23.A clock shows 6:48. What time will it show 63 minutes later? (a) 7:41 (b) 8:51 (c) 8:01 (d) 7:51
- 24.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 52 minutes? =
- 26.A clock shows 10:15. What time will it show 44 minutes later? (a) 10:59 (b) 11:59 (c) 11:09 (d) 10:49
- 27.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
- 28.A clock shows 5:50. What time will it show 41 minutes later? (a) 6:41 (b) 6:21 (c) 7:31 (d) 6:31
- 29.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 32.A clock shows 4:19. What time will it show 115 minutes later? (a) 6:24 (b) 7:14 (c) 6:04 (d) 6:14
- 33.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 34.A clock shows 11:17. What time will it show 154 minutes later? (a) 2:01 (b) 2:51 (c) 1:51 (d) 1:41
- 35.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:50? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 39.A clock shows 11:11. What time will it show 43 minutes later? (a) 12:04 (b) 11:54 (c) 12:54 (d) 11:44
- 40.How many degrees does the minute hand of a clock turn in 12 minutes? =
Answer key
- 6:52
- 64.5
- 150
- 6:35
- 94
- 96
- 77.5
- 7:33
- 36
- 133.5
- 19.5
- 89
- 4:38
- 131.5
- 7:32
- 11:22
- 21.5
- 44
- 7.5
- 55
- 12
- 8:20
- 7:51
- 28.5
- 26
- 10:59
- 56.5
- 6:31
- 216
- 330
- 104
- 6:14
- 5.5
- 1:51
- 42
- 145
- 85
- 57
- 11:54
- 72
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