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 9:12. What time will it show 91 minutes later? (a) 10:43 (b) 11:43 (c) 10:53 (d) 10:33
- 2.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 4.A clock shows 9:56. What time will it show 151 minutes later? (a) 12:17 (b) 1:27 (c) 12:27 (d) 12:37
- 5.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
- 6.A clock shows 8:12. What time will it show 142 minutes later? (a) 10:24 (b) 11:34 (c) 10:44 (d) 10:34
- 7.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
- 8.A clock shows 1:17. What time will it show 58 minutes later? (a) 3:15 (b) 2:15 (c) 2:25 (d) 2:05
- 9.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 10.A clock shows 4:01. What time will it show 62 minutes later? (a) 5:03 (b) 4:53 (c) 6:03 (d) 5:13
- 11.How many degrees does the hour hand of a clock turn in 146 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
- 20.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 23.A clock shows 6:27. What time will it show 55 minutes later? (a) 7:12 (b) 8:22 (c) 7:22 (d) 7:32
- 24.A clock shows 8:22. What time will it show 148 minutes later? (a) 11:50 (b) 10:40 (c) 11:00 (d) 10:50
- 25.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:13? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 30.A clock shows 8:10. What time will it show 84 minutes later? (a) 9:24 (b) 10:34 (c) 9:34 (d) 9:44
- 31.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 34.A clock shows 3:15. What time will it show 43 minutes later? (a) 4:58 (b) 4:08 (c) 3:58 (d) 3:48
- 35.A clock shows 10:32. What time will it show 117 minutes later? (a) 12:19 (b) 12:29 (c) 1:29 (d) 12:39
- 36.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
- 37.A clock shows 8:37. What time will it show 136 minutes later? (a) 10:43 (b) 10:53 (c) 11:53 (d) 11:03
- 38.A clock shows 6:08. What time will it show 152 minutes later? (a) 8:40 (b) 9:40 (c) 8:30 (d) 8:50
- 39.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
Answer key
- 10:43
- 89
- 60
- 12:27
- 63.5
- 10:34
- 38.5
- 2:15
- 204
- 5:03
- 73
- 52.5
- 1.5
- 21.5
- 140.5
- 145
- 46.5
- 85
- 13.5
- 48
- 67
- 175.5
- 7:22
- 10:50
- 62.5
- 131.5
- 56
- 121.5
- 240
- 9:34
- 36
- 102
- 13
- 3:58
- 12:29
- 137
- 10:53
- 8:40
- 264
- 116
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