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 10:23. What time will it show 156 minutes later? (a) 12:49 (b) 1:59 (c) 1:09 (d) 12:59
- 2.A clock shows 11:39. What time will it show 18 minutes later? (a) 11:57 (b) 12:07 (c) 12:57 (d) 11:47
- 3.A clock shows 11:37. What time will it show 46 minutes later? (a) 12:13 (b) 12:23 (c) 1:23 (d) 12:33
- 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
- 6.A clock shows 5:09. What time will it show 159 minutes later? (a) 7:38 (b) 8:48 (c) 7:48 (d) 7:58
- 7.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 10.A clock shows 6:57. What time will it show 50 minutes later? (a) 7:37 (b) 8:47 (c) 7:47 (d) 7:57
- 11.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
- 12.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 13.A clock shows 11:30. What time will it show 40 minutes later? (a) 12:00 (b) 12:20 (c) 12:10 (d) 1:10
- 14.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 16.A clock shows 1:42. What time will it show 124 minutes later? (a) 3:46 (b) 3:56 (c) 4:46 (d) 3:36
- 17.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 18.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 162 minutes? =
- 22.A clock shows 3:31. What time will it show 154 minutes later? (a) 5:55 (b) 6:15 (c) 7:05 (d) 6:05
- 23.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 24.A clock shows 8:53. What time will it show 10 minutes later? (a) 9:13 (b) 8:53 (c) 10:03 (d) 9:03
- 25.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
- 28.A clock shows 7:31. What time will it show 133 minutes later? (a) 9:54 (b) 9:34 (c) 10:44 (d) 9:44
- 29.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
- 30.A clock shows 4:34. What time will it show 31 minutes later? (a) 5:05 (b) 6:05 (c) 4:55 (d) 5:15
- 31.A clock shows 2:44. What time will it show 38 minutes later? (a) 3:12 (b) 3:22 (c) 4:22 (d) 3:32
- 32.A clock shows 4:32. What time will it show 44 minutes later? (a) 5:06 (b) 5:26 (c) 6:16 (d) 5:16
- 33.How many degrees does the hour hand of a clock turn in 63 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 39.A clock shows 10:30. What time will it show 84 minutes later? (a) 11:44 (b) 12:54 (c) 12:04 (d) 11:54
- 40.How many degrees does the hour hand of a clock turn in 39 minutes? =
Answer key
- 12:59
- 11:57
- 12:23
- 216
- 47
- 7:48
- 137.5
- 149
- 113.5
- 7:47
- 110
- 204
- 12:10
- 37.5
- 276
- 3:46
- 180
- 50
- 89
- 120
- 81
- 6:05
- 136.5
- 9:03
- 336
- 133.5
- 72.5
- 9:44
- 37.5
- 5:05
- 3:22
- 5:16
- 31.5
- 44
- 108.5
- 166
- 16.5
- 165.5
- 11:54
- 19.5
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