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 9:06? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
- 7.A clock shows 6:49. What time will it show 78 minutes later? (a) 8:07 (b) 9:07 (c) 7:57 (d) 8:17
- 8.A clock shows 6:45. What time will it show 141 minutes later? (a) 9:16 (b) 8:56 (c) 10:06 (d) 9:06
- 9.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 10.A clock shows 7:12. What time will it show 114 minutes later? (a) 9:16 (b) 10:06 (c) 8:56 (d) 9:06
- 11.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 14.A clock shows 3:55. What time will it show 164 minutes later? (a) 6:49 (b) 6:29 (c) 6:39 (d) 7:39
- 15.A clock shows 10:48. What time will it show 36 minutes later? (a) 12:24 (b) 11:24 (c) 11:14 (d) 11:34
- 16.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 20.A clock shows 11:11. What time will it show 47 minutes later? (a) 11:48 (b) 12:08 (c) 11:58 (d) 12:58
- 21.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
- 22.A clock shows 12:45. What time will it show 92 minutes later? (a) 2:17 (b) 3:17 (c) 2:27 (d) 2:07
- 23.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 6:51? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 26.A clock shows 6:13. What time will it show 45 minutes later? (a) 6:48 (b) 7:58 (c) 7:08 (d) 6:58
- 27.A clock shows 8:48. What time will it show 46 minutes later? (a) 10:34 (b) 9:24 (c) 9:34 (d) 9:44
- 28.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 29.A clock shows 7:13. What time will it show 13 minutes later? (a) 7:36 (b) 7:26 (c) 7:16 (d) 8:26
- 30.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 33.A clock shows 1:26. What time will it show 102 minutes later? (a) 2:58 (b) 3:18 (c) 4:08 (d) 3:08
- 34.A clock shows 2:35. What time will it show 152 minutes later? (a) 5:07 (b) 4:57 (c) 5:17 (d) 6:07
- 35.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 38.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
Answer key
- 123
- 57.5
- 17.5
- 32.5
- 186
- 13.5
- 8:07
- 9:06
- 276
- 9:06
- 174
- 36.5
- 37.5
- 6:39
- 11:24
- 62.5
- 156
- 270
- 18
- 11:58
- 142.5
- 2:17
- 342
- 100.5
- 3.5
- 6:58
- 9:34
- 77.5
- 7:26
- 121
- 23.5
- 164.5
- 3:08
- 5:07
- 133
- 176.5
- 312
- 40
- 49.5
- 49
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