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 8:55? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:35? (in degrees) =
- 8.A clock shows 10:35. What time will it show 70 minutes later? (a) 11:55 (b) 12:45 (c) 11:35 (d) 11:45
- 9.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
- 10.A clock shows 3:23. What time will it show 103 minutes later? (a) 5:06 (b) 5:16 (c) 6:06 (d) 4:56
- 11.A clock shows 11:50. What time will it show 149 minutes later? (a) 2:09 (b) 2:29 (c) 3:19 (d) 2:19
- 12.A clock shows 1:32. What time will it show 105 minutes later? (a) 3:07 (b) 3:27 (c) 4:17 (d) 3:17
- 13.What is the smaller angle between the hour hand and the minute hand at 8:23? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
- 16.A clock shows 7:12. What time will it show 50 minutes later? (a) 9:02 (b) 8:12 (c) 8:02 (d) 7:52
- 17.A clock shows 8:00. What time will it show 98 minutes later? (a) 9:48 (b) 9:28 (c) 10:38 (d) 9:38
- 18.A clock shows 4:09. What time will it show 50 minutes later? (a) 4:49 (b) 4:59 (c) 5:09 (d) 5:59
- 19.A clock shows 9:22. What time will it show 163 minutes later? (a) 1:05 (b) 12:05 (c) 12:15 (d) 11:55
- 20.A clock shows 11:10. What time will it show 16 minutes later? (a) 11:36 (b) 12:26 (c) 11:16 (d) 11:26
- 21.A clock shows 8:46. What time will it show 95 minutes later? (a) 11:21 (b) 10:11 (c) 10:31 (d) 10:21
- 22.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 27.A clock shows 5:07. What time will it show 168 minutes later? (a) 8:05 (b) 8:55 (c) 7:45 (d) 7:55
- 28.What is the smaller angle between the hour hand and the minute hand at 12:26? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 34.A clock shows 7:35. What time will it show 94 minutes later? (a) 10:09 (b) 8:59 (c) 9:19 (d) 9:09
- 35.A clock shows 12:24. What time will it show 120 minutes later? (a) 3:24 (b) 2:34 (c) 2:24 (d) 2:14
- 36.A clock shows 10:11. What time will it show 18 minutes later? (a) 11:29 (b) 10:29 (c) 10:39 (d) 10:19
- 37.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
Answer key
- 62.5
- 258
- 294
- 110.5
- 143.5
- 46.5
- 47.5
- 11:45
- 54.5
- 5:06
- 2:19
- 3:17
- 113.5
- 110.5
- 82.5
- 8:02
- 9:38
- 4:59
- 12:05
- 11:26
- 10:21
- 24
- 204
- 29
- 173
- 198
- 7:55
- 143
- 23.5
- 107
- 54
- 77
- 142
- 9:09
- 2:24
- 10:29
- 157
- 89.5
- 108
- 59
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