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.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 2.A clock shows 8:04. What time will it show 127 minutes later? (a) 10:01 (b) 11:11 (c) 10:21 (d) 10:11
- 3.A clock shows 10:21. What time will it show 103 minutes later? (a) 12:04 (b) 12:14 (c) 1:04 (d) 11:54
- 4.A clock shows 10:19. What time will it show 46 minutes later? (a) 12:05 (b) 11:15 (c) 10:55 (d) 11:05
- 5.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 6.A clock shows 12:27. What time will it show 123 minutes later? (a) 2:20 (b) 3:30 (c) 2:30 (d) 2:40
- 7.A clock shows 8:15. What time will it show 149 minutes later? (a) 10:54 (b) 11:44 (c) 10:44 (d) 10:34
- 8.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 16 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
- 15.A clock shows 3:49. What time will it show 19 minutes later? (a) 4:08 (b) 5:08 (c) 3:58 (d) 4:18
- 16.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 19.A clock shows 3:15. What time will it show 111 minutes later? (a) 4:56 (b) 5:06 (c) 5:16 (d) 6:06
- 20.A clock shows 6:32. What time will it show 170 minutes later? (a) 10:22 (b) 9:12 (c) 9:22 (d) 9:32
- 21.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 23.A clock shows 11:40. What time will it show 35 minutes later? (a) 12:05 (b) 1:15 (c) 12:15 (d) 12:25
- 24.A clock shows 2:05. What time will it show 143 minutes later? (a) 4:18 (b) 5:28 (c) 4:28 (d) 4:38
- 25.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 26.A clock shows 4:42. What time will it show 29 minutes later? (a) 5:21 (b) 5:01 (c) 6:11 (d) 5:11
- 27.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
- 28.A clock shows 8:19. What time will it show 24 minutes later? (a) 8:33 (b) 9:43 (c) 8:53 (d) 8:43
- 29.A clock shows 3:25. What time will it show 88 minutes later? (a) 5:03 (b) 4:43 (c) 5:53 (d) 4:53
- 30.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 31.A clock shows 3:40. What time will it show 85 minutes later? (a) 5:05 (b) 4:55 (c) 5:15 (d) 6:05
- 32.A clock shows 8:24. What time will it show 160 minutes later? (a) 11:14 (b) 12:04 (c) 10:54 (d) 11:04
- 33.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 34.A clock shows 11:44. What time will it show 47 minutes later? (a) 12:41 (b) 1:31 (c) 12:21 (d) 12:31
- 35.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 3:26? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 39.A clock shows 9:12. What time will it show 136 minutes later? (a) 11:38 (b) 12:28 (c) 11:28 (d) 11:18
- 40.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
Answer key
- 37.5
- 10:11
- 12:04
- 11:05
- 48
- 2:30
- 10:44
- 104
- 30.5
- 8
- 161
- 18
- 121.5
- 162
- 4:08
- 28
- 50.5
- 312
- 5:06
- 9:22
- 354
- 180
- 12:15
- 4:28
- 222
- 5:11
- 51.5
- 8:43
- 4:53
- 40.5
- 5:05
- 11:04
- 61.5
- 12:31
- 42
- 49
- 53
- 154.5
- 11:28
- 106.5
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