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 2:35? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 4:58? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
- 4.A clock shows 4:59. What time will it show 88 minutes later? (a) 6:27 (b) 7:27 (c) 6:37 (d) 6:17
- 5.A clock shows 7:01. What time will it show 137 minutes later? (a) 9:18 (b) 9:08 (c) 10:18 (d) 9:28
- 6.A clock shows 3:31. What time will it show 131 minutes later? (a) 5:42 (b) 6:42 (c) 5:52 (d) 5:32
- 7.What is the smaller angle between the hour hand and the minute hand at 6:34? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 13.A clock shows 8:04. What time will it show 151 minutes later? (a) 10:45 (b) 10:35 (c) 10:25 (d) 11:35
- 14.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 15.A clock shows 9:09. What time will it show 20 minutes later? (a) 9:29 (b) 9:39 (c) 10:29 (d) 9:19
- 16.A clock shows 6:10. What time will it show 58 minutes later? (a) 6:58 (b) 7:18 (c) 8:08 (d) 7:08
- 17.A clock shows 2:28. What time will it show 99 minutes later? (a) 4:07 (b) 5:07 (c) 4:17 (d) 3:57
- 18.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 20.A clock shows 11:48. What time will it show 57 minutes later? (a) 1:45 (b) 12:35 (c) 12:55 (d) 12:45
- 21.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
- 23.A clock shows 6:16. What time will it show 53 minutes later? (a) 8:09 (b) 7:19 (c) 7:09 (d) 6:59
- 24.A clock shows 7:25. What time will it show 55 minutes later? (a) 8:20 (b) 8:10 (c) 9:20 (d) 8:30
- 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 hour hand of a clock turn in 173 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 33.A clock shows 3:33. What time will it show 60 minutes later? (a) 4:23 (b) 5:33 (c) 4:33 (d) 4:43
- 34.A clock shows 11:14. What time will it show 129 minutes later? (a) 1:33 (b) 1:23 (c) 2:23 (d) 1:13
- 35.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
- 36.A clock shows 3:06. What time will it show 99 minutes later? (a) 4:55 (b) 5:45 (c) 4:35 (d) 4:45
- 37.A clock shows 8:15. What time will it show 117 minutes later? (a) 10:22 (b) 10:02 (c) 11:12 (d) 10:12
- 38.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 6:45? (in degrees) =
Answer key
- 132.5
- 161
- 5.5
- 6:27
- 9:18
- 5:42
- 7
- 114
- 75
- 36
- 146.5
- 39.5
- 10:35
- 71
- 9:29
- 7:08
- 4:07
- 109.5
- 48.5
- 12:45
- 77.5
- 127.5
- 7:09
- 8:20
- 173
- 86.5
- 36.5
- 204
- 60
- 19
- 20
- 166
- 4:33
- 1:23
- 136
- 4:45
- 10:12
- 40
- 27
- 67.5
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