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 7:11? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:03? (in degrees) =
- 4.A clock shows 1:54. What time will it show 131 minutes later? (a) 4:15 (b) 5:05 (c) 4:05 (d) 3:55
- 5.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 10.A clock shows 7:24. What time will it show 136 minutes later? (a) 9:30 (b) 10:40 (c) 9:40 (d) 9:50
- 11.How many degrees does the hour hand of a clock turn in 159 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 72 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 62 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:27? (in degrees) =
- 21.A clock shows 10:14. What time will it show 52 minutes later? (a) 11:06 (b) 10:56 (c) 11:16 (d) 12:06
- 22.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
- 23.A clock shows 6:00. What time will it show 145 minutes later? (a) 8:15 (b) 8:25 (c) 9:25 (d) 8:35
- 24.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 25.A clock shows 8:50. What time will it show 49 minutes later? (a) 9:29 (b) 10:39 (c) 9:49 (d) 9:39
- 26.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
- 28.A clock shows 5:55. What time will it show 164 minutes later? (a) 9:39 (b) 8:39 (c) 8:49 (d) 8:29
- 29.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 34.A clock shows 2:02. What time will it show 11 minutes later? (a) 2:13 (b) 3:13 (c) 2:23 (d) 2:03
- 35.A clock shows 5:38. What time will it show 168 minutes later? (a) 8:26 (b) 8:16 (c) 8:36 (d) 9:26
- 36.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 54 minutes? =
Answer key
- 149.5
- 354
- 103.5
- 4:05
- 282
- 48
- 72
- 37.5
- 58
- 9:40
- 79.5
- 36
- 31
- 162
- 18.5
- 168
- 120
- 24
- 57.5
- 1.5
- 11:06
- 12
- 8:25
- 114.5
- 9:39
- 35
- 114
- 8:39
- 47.5
- 37.5
- 47.5
- 79
- 137
- 2:13
- 8:26
- 288
- 115
- 258
- 126.5
- 27
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