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.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 3.A clock shows 2:04. What time will it show 124 minutes later? (a) 3:58 (b) 4:08 (c) 4:18 (d) 5:08
- 4.A clock shows 6:28. What time will it show 22 minutes later? (a) 7:50 (b) 7:00 (c) 6:40 (d) 6:50
- 5.A clock shows 7:18. What time will it show 72 minutes later? (a) 8:40 (b) 9:30 (c) 8:20 (d) 8:30
- 6.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 7.A clock shows 9:15. What time will it show 107 minutes later? (a) 12:02 (b) 10:52 (c) 11:12 (d) 11:02
- 8.A clock shows 1:11. What time will it show 95 minutes later? (a) 3:46 (b) 2:56 (c) 2:36 (d) 2:46
- 9.A clock shows 12:50. What time will it show 27 minutes later? (a) 2:17 (b) 1:07 (c) 1:27 (d) 1:17
- 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 14.A clock shows 5:39. What time will it show 159 minutes later? (a) 8:28 (b) 8:18 (c) 9:18 (d) 8:08
- 15.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 17.A clock shows 9:11. What time will it show 78 minutes later? (a) 11:29 (b) 10:39 (c) 10:19 (d) 10:29
- 18.How many degrees does the hour hand of a clock turn in 77 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 20.A clock shows 12:38. What time will it show 25 minutes later? (a) 1:13 (b) 12:53 (c) 2:03 (d) 1:03
- 21.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 22.A clock shows 6:39. What time will it show 153 minutes later? (a) 9:12 (b) 9:22 (c) 10:12 (d) 9:02
- 23.A clock shows 6:05. What time will it show 101 minutes later? (a) 7:36 (b) 7:56 (c) 7:46 (d) 8:46
- 24.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 25.A clock shows 2:44. What time will it show 161 minutes later? (a) 5:35 (b) 5:15 (c) 6:25 (d) 5:25
- 26.A clock shows 2:32. What time will it show 62 minutes later? (a) 3:24 (b) 3:34 (c) 3:44 (d) 4:34
- 27.A clock shows 3:32. What time will it show 44 minutes later? (a) 4:26 (b) 4:16 (c) 4:06 (d) 5:16
- 28.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
- 34.A clock shows 11:29. What time will it show 34 minutes later? (a) 1:03 (b) 11:53 (c) 12:03 (d) 12:13
- 35.A clock shows 11:08. What time will it show 76 minutes later? (a) 12:14 (b) 12:24 (c) 1:24 (d) 12:34
- 36.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 38.A clock shows 7:47. What time will it show 111 minutes later? (a) 9:38 (b) 9:28 (c) 9:48 (d) 10:38
- 39.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
Answer key
- 27
- 155.5
- 4:08
- 6:50
- 8:30
- 132
- 11:02
- 2:46
- 1:17
- 318
- 42
- 118.5
- 198
- 8:18
- 179
- 240
- 10:29
- 38.5
- 179.5
- 1:03
- 65
- 9:12
- 7:46
- 80.5
- 5:25
- 3:34
- 4:16
- 79
- 24
- 156
- 116
- 47
- 106.5
- 12:03
- 12:24
- 24
- 102
- 9:38
- 137
- 27.5
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