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 12:08. What time will it show 102 minutes later? (a) 1:40 (b) 2:00 (c) 2:50 (d) 1:50
- 2.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
- 5.A clock shows 4:08. What time will it show 128 minutes later? (a) 7:16 (b) 6:06 (c) 6:16 (d) 6:26
- 6.A clock shows 3:53. What time will it show 59 minutes later? (a) 5:02 (b) 4:52 (c) 4:42 (d) 5:52
- 7.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 15.A clock shows 5:48. What time will it show 37 minutes later? (a) 6:15 (b) 6:25 (c) 6:35 (d) 7:25
- 16.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
- 17.A clock shows 5:23. What time will it show 17 minutes later? (a) 6:40 (b) 5:30 (c) 5:40 (d) 5:50
- 18.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 19.A clock shows 10:13. What time will it show 140 minutes later? (a) 1:33 (b) 12:23 (c) 12:33 (d) 12:43
- 20.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 11:46? (in degrees) =
- 23.A clock shows 2:03. What time will it show 92 minutes later? (a) 3:45 (b) 4:35 (c) 3:35 (d) 3:25
- 24.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 26.A clock shows 5:05. What time will it show 34 minutes later? (a) 5:49 (b) 5:39 (c) 6:39 (d) 5:29
- 27.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
- 28.A clock shows 12:00. What time will it show 147 minutes later? (a) 2:17 (b) 3:27 (c) 2:37 (d) 2:27
- 29.A clock shows 2:35. What time will it show 11 minutes later? (a) 2:46 (b) 2:56 (c) 3:46 (d) 2:36
- 30.A clock shows 11:04. What time will it show 50 minutes later? (a) 12:04 (b) 11:54 (c) 12:54 (d) 11:44
- 31.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
- 32.A clock shows 7:16. What time will it show 40 minutes later? (a) 7:56 (b) 7:46 (c) 8:06 (d) 8:56
- 33.A clock shows 10:23. What time will it show 65 minutes later? (a) 12:28 (b) 11:38 (c) 11:18 (d) 11:28
- 34.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
- 35.A clock shows 9:16. What time will it show 105 minutes later? (a) 11:11 (b) 11:01 (c) 12:01 (d) 10:51
- 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
Answer key
- 1:50
- 154
- 157.5
- 180
- 6:16
- 4:52
- 78.5
- 84.5
- 62.5
- 84
- 180
- 77.5
- 179.5
- 49
- 6:25
- 177
- 5:40
- 149.5
- 12:33
- 198
- 72
- 77
- 3:35
- 90
- 23.5
- 5:39
- 8
- 2:27
- 2:46
- 11:54
- 17
- 7:56
- 11:28
- 12
- 11:01
- 348
- 136
- 78
- 216
- 56.5
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