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 minute hand of a clock turn in 6 minutes? =
- 2.A clock shows 9:11. What time will it show 99 minutes later? (a) 11:50 (b) 11:00 (c) 10:50 (d) 10:40
- 3.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 5.A clock shows 12:13. What time will it show 106 minutes later? (a) 2:09 (b) 1:59 (c) 2:59 (d) 1:49
- 6.How many degrees does the hour hand of a clock turn in 122 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 8.A clock shows 9:38. What time will it show 89 minutes later? (a) 10:57 (b) 11:07 (c) 11:17 (d) 12:07
- 9.A clock shows 3:48. What time will it show 86 minutes later? (a) 5:04 (b) 5:24 (c) 6:14 (d) 5:14
- 10.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
- 11.A clock shows 12:47. What time will it show 113 minutes later? (a) 3:40 (b) 2:50 (c) 2:30 (d) 2:40
- 12.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 14.A clock shows 4:19. What time will it show 128 minutes later? (a) 6:17 (b) 6:37 (c) 7:27 (d) 6:27
- 15.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 17.A clock shows 10:00. What time will it show 94 minutes later? (a) 12:34 (b) 11:44 (c) 11:24 (d) 11:34
- 18.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 20.A clock shows 9:06. What time will it show 84 minutes later? (a) 10:40 (b) 10:30 (c) 11:30 (d) 10:20
- 21.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
- 24.A clock shows 1:02. What time will it show 169 minutes later? (a) 3:41 (b) 3:51 (c) 4:51 (d) 4:01
- 25.A clock shows 3:25. What time will it show 122 minutes later? (a) 6:27 (b) 5:17 (c) 5:37 (d) 5:27
- 26.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 30.A clock shows 3:32. What time will it show 88 minutes later? (a) 5:00 (b) 5:10 (c) 4:50 (d) 6:00
- 31.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 33.A clock shows 7:49. What time will it show 45 minutes later? (a) 8:24 (b) 9:34 (c) 8:44 (d) 8:34
- 34.A clock shows 6:44. What time will it show 29 minutes later? (a) 8:13 (b) 7:23 (c) 7:13 (d) 7:03
- 35.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 36.A clock shows 1:53. What time will it show 115 minutes later? (a) 3:48 (b) 3:38 (c) 3:58 (d) 4:48
- 37.What is the smaller angle between the hour hand and the minute hand at 10:31? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
- 39.A clock shows 11:53. What time will it show 29 minutes later? (a) 1:22 (b) 12:12 (c) 12:32 (d) 12:22
- 40.A clock shows 2:50. What time will it show 158 minutes later? (a) 5:18 (b) 5:28 (c) 5:38 (d) 6:28
Answer key
- 36
- 10:50
- 167
- 210
- 1:59
- 61
- 47.5
- 11:07
- 5:14
- 63
- 2:40
- 160.5
- 43
- 6:27
- 150
- 39.5
- 11:34
- 11.5
- 222
- 10:30
- 18.5
- 159.5
- 85.5
- 3:51
- 5:27
- 93.5
- 150
- 19
- 47
- 5:00
- 20.5
- 138
- 8:34
- 7:13
- 288
- 3:48
- 129.5
- 118.5
- 12:22
- 5:28
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