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 minute hand of a clock turn in 13 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 3.A clock shows 5:18. What time will it show 86 minutes later? (a) 6:54 (b) 6:34 (c) 7:44 (d) 6:44
- 4.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:37? (in degrees) =
- 7.A clock shows 8:34. What time will it show 157 minutes later? (a) 12:11 (b) 11:01 (c) 11:11 (d) 11:21
- 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 9.A clock shows 12:33. What time will it show 41 minutes later? (a) 2:14 (b) 1:04 (c) 1:24 (d) 1:14
- 10.A clock shows 1:09. What time will it show 47 minutes later? (a) 2:06 (b) 1:56 (c) 2:56 (d) 1:46
- 11.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 14.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 16.A clock shows 2:49. What time will it show 42 minutes later? (a) 3:21 (b) 3:41 (c) 4:31 (d) 3:31
- 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 25.A clock shows 11:08. What time will it show 89 minutes later? (a) 12:27 (b) 12:47 (c) 1:37 (d) 12:37
- 26.A clock shows 12:52. What time will it show 145 minutes later? (a) 3:17 (b) 3:27 (c) 3:07 (d) 4:17
- 27.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
- 28.A clock shows 5:01. What time will it show 129 minutes later? (a) 7:20 (b) 7:00 (c) 8:10 (d) 7:10
- 29.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
- 31.A clock shows 11:20. What time will it show 118 minutes later? (a) 1:18 (b) 2:18 (c) 1:28 (d) 1:08
- 32.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 33.A clock shows 2:14. What time will it show 134 minutes later? (a) 4:38 (b) 4:28 (c) 5:28 (d) 4:18
- 34.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 35.A clock shows 12:10. What time will it show 148 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
- 36.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 169 minutes? =
Answer key
- 78
- 92
- 6:44
- 48
- 60
- 126.5
- 11:11
- 30
- 1:14
- 1:56
- 93
- 26.5
- 18
- 126
- 77
- 3:31
- 108
- 167.5
- 234
- 168
- 120
- 165.5
- 106
- 24
- 12:37
- 3:17
- 137.5
- 7:10
- 147
- 51.5
- 1:18
- 114
- 4:28
- 137
- 2:38
- 159
- 18
- 30
- 67
- 84.5
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