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 12:35. What time will it show 37 minutes later? (a) 2:12 (b) 1:22 (c) 1:12 (d) 1:02
- 2.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 3.A clock shows 5:51. What time will it show 85 minutes later? (a) 7:06 (b) 7:26 (c) 8:16 (d) 7:16
- 4.A clock shows 2:16. What time will it show 148 minutes later? (a) 5:44 (b) 4:44 (c) 4:34 (d) 4:54
- 5.A clock shows 12:16. What time will it show 139 minutes later? (a) 3:35 (b) 2:25 (c) 2:45 (d) 2:35
- 6.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 9.A clock shows 8:31. What time will it show 50 minutes later? (a) 9:11 (b) 9:21 (c) 9:31 (d) 10:21
- 10.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
- 13.A clock shows 7:11. What time will it show 106 minutes later? (a) 9:07 (b) 9:57 (c) 8:47 (d) 8:57
- 14.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 15.A clock shows 3:58. What time will it show 135 minutes later? (a) 6:13 (b) 7:13 (c) 6:03 (d) 6:23
- 16.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
- 22.How many degrees does the hour hand of a clock turn in 136 minutes? =
- 23.A clock shows 2:26. What time will it show 116 minutes later? (a) 4:12 (b) 4:32 (c) 5:22 (d) 4:22
- 24.A clock shows 1:44. What time will it show 130 minutes later? (a) 3:44 (b) 4:54 (c) 4:04 (d) 3:54
- 25.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 28.A clock shows 2:19. What time will it show 141 minutes later? (a) 4:30 (b) 4:50 (c) 5:40 (d) 4:40
- 29.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 31.A clock shows 11:18. What time will it show 25 minutes later? (a) 11:33 (b) 11:53 (c) 12:43 (d) 11:43
- 32.A clock shows 4:59. What time will it show 133 minutes later? (a) 7:02 (b) 7:22 (c) 7:12 (d) 8:12
- 33.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 35.A clock shows 9:25. What time will it show 19 minutes later? (a) 9:34 (b) 9:54 (c) 10:44 (d) 9:44
- 36.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
- 38.A clock shows 1:21. What time will it show 148 minutes later? (a) 3:39 (b) 4:49 (c) 3:59 (d) 3:49
- 39.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
Answer key
- 1:12
- 5.5
- 7:16
- 4:44
- 2:35
- 45
- 23.5
- 270
- 9:21
- 174
- 56
- 67.5
- 8:57
- 172.5
- 6:13
- 43.5
- 17
- 18
- 330
- 42
- 30
- 68
- 4:22
- 3:54
- 167
- 51
- 20
- 4:40
- 137
- 5
- 11:43
- 7:12
- 48.5
- 121
- 9:44
- 147
- 141
- 3:49
- 54
- 25.5
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