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 8:46. What time will it show 113 minutes later? (a) 10:49 (b) 11:39 (c) 10:39 (d) 10:29
- 2.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
- 4.A clock shows 2:38. What time will it show 69 minutes later? (a) 3:57 (b) 3:37 (c) 3:47 (d) 4:47
- 5.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 173 minutes? =
- 12.A clock shows 6:02. What time will it show 44 minutes later? (a) 6:36 (b) 7:46 (c) 6:46 (d) 6:56
- 13.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 41 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 22.A clock shows 1:35. What time will it show 85 minutes later? (a) 4:00 (b) 3:10 (c) 2:50 (d) 3:00
- 23.A clock shows 4:09. What time will it show 20 minutes later? (a) 4:29 (b) 4:19 (c) 4:39 (d) 5:29
- 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 27.A clock shows 6:44. What time will it show 18 minutes later? (a) 6:52 (b) 7:12 (c) 8:02 (d) 7:02
- 28.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 34.A clock shows 1:13. What time will it show 151 minutes later? (a) 3:54 (b) 3:34 (c) 4:44 (d) 3:44
- 35.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 7:18? (in degrees) =
Answer key
- 10:39
- 122
- 137.5
- 3:47
- 163.5
- 3.5
- 330
- 45.5
- 89
- 41
- 86.5
- 6:46
- 312
- 134.5
- 234
- 20.5
- 48
- 44.5
- 112.5
- 42
- 27
- 3:00
- 4:29
- 66
- 63
- 125
- 7:02
- 25
- 168
- 41
- 36
- 15.5
- 141
- 3:44
- 108
- 114
- 138.5
- 138
- 42
- 111
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