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 5:04. What time will it show 90 minutes later? (a) 7:34 (b) 6:34 (c) 6:44 (d) 6:24
- 2.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 3.A clock shows 12:54. What time will it show 159 minutes later? (a) 4:33 (b) 3:33 (c) 3:43 (d) 3:23
- 4.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
- 7.A clock shows 3:43. What time will it show 31 minutes later? (a) 5:14 (b) 4:24 (c) 4:14 (d) 4:04
- 8.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
- 9.A clock shows 11:07. What time will it show 28 minutes later? (a) 11:45 (b) 12:35 (c) 11:25 (d) 11:35
- 10.A clock shows 10:20. What time will it show 58 minutes later? (a) 12:18 (b) 11:18 (c) 11:28 (d) 11:08
- 11.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
- 13.A clock shows 10:16. What time will it show 109 minutes later? (a) 12:05 (b) 1:05 (c) 11:55 (d) 12:15
- 14.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 18.A clock shows 3:30. What time will it show 71 minutes later? (a) 4:31 (b) 4:51 (c) 4:41 (d) 5:41
- 19.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 20.A clock shows 9:20. What time will it show 80 minutes later? (a) 10:30 (b) 10:40 (c) 11:40 (d) 10:50
- 21.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
- 25.A clock shows 12:36. What time will it show 170 minutes later? (a) 3:36 (b) 3:16 (c) 3:26 (d) 4:26
- 26.What is the smaller angle between the hour hand and the minute hand at 12:07? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 28.A clock shows 7:12. What time will it show 46 minutes later? (a) 7:58 (b) 8:58 (c) 8:08 (d) 7:48
- 29.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
- 30.A clock shows 3:04. What time will it show 144 minutes later? (a) 6:28 (b) 5:28 (c) 5:18 (d) 5:38
- 31.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 32.A clock shows 1:21. What time will it show 80 minutes later? (a) 2:31 (b) 2:51 (c) 2:41 (d) 3:41
- 33.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 35.A clock shows 10:50. What time will it show 139 minutes later? (a) 2:09 (b) 12:59 (c) 1:19 (d) 1:09
- 36.A clock shows 10:22. What time will it show 93 minutes later? (a) 11:45 (b) 12:05 (c) 12:55 (d) 11:55
- 37.A clock shows 5:52. What time will it show 49 minutes later? (a) 6:31 (b) 7:41 (c) 6:51 (d) 6:41
- 38.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
- 39.A clock shows 7:35. What time will it show 48 minutes later? (a) 8:23 (b) 8:33 (c) 9:23 (d) 8:13
- 40.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
Answer key
- 6:34
- 47.5
- 3:33
- 4
- 13.5
- 44
- 4:14
- 161
- 11:35
- 11:18
- 72.5
- 140
- 12:05
- 48
- 143
- 178.5
- 132.5
- 4:41
- 252
- 10:40
- 45
- 46.5
- 101
- 81
- 3:26
- 38.5
- 60
- 7:58
- 140
- 5:28
- 228
- 2:41
- 144
- 45.5
- 1:09
- 11:55
- 6:41
- 5
- 8:23
- 180
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