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 1:03. What time will it show 65 minutes later? (a) 2:18 (b) 3:08 (c) 2:08 (d) 1:58
- 2.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
- 7.A clock shows 11:13. What time will it show 99 minutes later? (a) 12:42 (b) 1:02 (c) 1:52 (d) 12:52
- 8.A clock shows 1:24. What time will it show 84 minutes later? (a) 3:48 (b) 2:48 (c) 2:38 (d) 2:58
- 9.A clock shows 7:34. What time will it show 128 minutes later? (a) 9:52 (b) 9:42 (c) 9:32 (d) 10:42
- 10.What is the smaller angle between the hour hand and the minute hand at 7:16? (in degrees) =
- 11.A clock shows 4:06. What time will it show 15 minutes later? (a) 4:31 (b) 4:21 (c) 5:21 (d) 4:11
- 12.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 15.A clock shows 4:36. What time will it show 54 minutes later? (a) 5:40 (b) 5:30 (c) 6:30 (d) 5:20
- 16.A clock shows 1:56. What time will it show 69 minutes later? (a) 4:05 (b) 3:05 (c) 3:15 (d) 2:55
- 17.A clock shows 9:37. What time will it show 119 minutes later? (a) 11:26 (b) 12:36 (c) 11:36 (d) 11:46
- 18.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
- 19.A clock shows 12:36. What time will it show 109 minutes later? (a) 2:25 (b) 2:35 (c) 2:15 (d) 3:25
- 20.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:16? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
- 24.A clock shows 6:52. What time will it show 77 minutes later? (a) 8:19 (b) 7:59 (c) 9:09 (d) 8:09
- 25.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 26.A clock shows 3:09. What time will it show 81 minutes later? (a) 5:30 (b) 4:30 (c) 4:20 (d) 4:40
- 27.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 33.A clock shows 10:31. What time will it show 166 minutes later? (a) 1:27 (b) 2:17 (c) 1:07 (d) 1:17
- 34.A clock shows 2:28. What time will it show 33 minutes later? (a) 4:01 (b) 3:01 (c) 3:11 (d) 2:51
- 35.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 36.A clock shows 5:37. What time will it show 152 minutes later? (a) 8:09 (b) 7:59 (c) 8:19 (d) 9:09
- 37.A clock shows 11:51. What time will it show 55 minutes later? (a) 12:36 (b) 12:56 (c) 12:46 (d) 1:46
- 38.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
- 39.A clock shows 10:20. What time will it show 88 minutes later? (a) 12:48 (b) 11:58 (c) 11:48 (d) 11:38
- 40.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
Answer key
- 2:08
- 12
- 16
- 240
- 19.5
- 72
- 12:52
- 2:48
- 9:42
- 122
- 4:21
- 125
- 114
- 15
- 5:30
- 3:05
- 11:36
- 16.5
- 2:25
- 132
- 127
- 88
- 111.5
- 8:09
- 96
- 4:30
- 90
- 15.5
- 12.5
- 11.5
- 122.5
- 66
- 1:17
- 3:01
- 64
- 8:09
- 12:46
- 133.5
- 11:48
- 86
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