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 5:27? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 3.A clock shows 5:09. What time will it show 67 minutes later? (a) 7:16 (b) 6:26 (c) 6:06 (d) 6:16
- 4.A clock shows 3:50. What time will it show 13 minutes later? (a) 4:03 (b) 3:53 (c) 5:03 (d) 4:13
- 5.What is the smaller angle between the hour hand and the minute hand at 6:19? (in degrees) =
- 6.A clock shows 6:35. What time will it show 23 minutes later? (a) 7:08 (b) 6:48 (c) 6:58 (d) 7:58
- 7.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
- 9.A clock shows 11:50. What time will it show 149 minutes later? (a) 2:29 (b) 3:19 (c) 2:09 (d) 2:19
- 10.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 16.A clock shows 1:09. What time will it show 51 minutes later? (a) 1:50 (b) 3:00 (c) 2:10 (d) 2:00
- 17.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 18.A clock shows 9:47. What time will it show 168 minutes later? (a) 12:25 (b) 12:35 (c) 1:35 (d) 12:45
- 19.A clock shows 11:11. What time will it show 99 minutes later? (a) 1:50 (b) 12:50 (c) 1:00 (d) 12:40
- 20.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 21.A clock shows 6:40. What time will it show 17 minutes later? (a) 6:57 (b) 7:07 (c) 6:47 (d) 7:57
- 22.A clock shows 7:20. What time will it show 68 minutes later? (a) 8:18 (b) 9:28 (c) 8:28 (d) 8:38
- 23.A clock shows 11:12. What time will it show 39 minutes later? (a) 12:51 (b) 11:51 (c) 12:01 (d) 11:41
- 24.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 28.A clock shows 10:06. What time will it show 133 minutes later? (a) 1:19 (b) 12:09 (c) 12:29 (d) 12:19
- 29.A clock shows 2:05. What time will it show 169 minutes later? (a) 5:54 (b) 5:04 (c) 4:44 (d) 4:54
- 30.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 34.A clock shows 7:34. What time will it show 152 minutes later? (a) 11:06 (b) 10:06 (c) 9:56 (d) 10:16
- 35.A clock shows 5:09. What time will it show 159 minutes later? (a) 8:48 (b) 7:38 (c) 7:48 (d) 7:58
- 36.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 39.A clock shows 2:23. What time will it show 42 minutes later? (a) 4:05 (b) 2:55 (c) 3:15 (d) 3:05
- 40.A clock shows 8:43. What time will it show 136 minutes later? (a) 11:09 (b) 10:49 (c) 11:59 (d) 10:59
Answer key
- 1.5
- 102
- 6:16
- 4:03
- 75.5
- 6:58
- 62.5
- 109
- 2:19
- 9.5
- 288
- 130
- 118
- 252
- 77.5
- 2:00
- 150
- 12:35
- 12:50
- 108
- 6:57
- 8:28
- 11:51
- 102
- 22
- 10
- 57
- 12:19
- 4:54
- 30.5
- 125.5
- 52.5
- 33
- 10:06
- 7:48
- 18.5
- 169
- 35
- 3:05
- 10:59
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