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 10 minutes? =
- 2.A clock shows 1:53. What time will it show 100 minutes later? (a) 3:23 (b) 4:33 (c) 3:43 (d) 3:33
- 3.A clock shows 4:36. What time will it show 20 minutes later? (a) 5:06 (b) 5:56 (c) 4:56 (d) 4:46
- 4.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 7.A clock shows 1:06. What time will it show 132 minutes later? (a) 4:18 (b) 3:28 (c) 3:08 (d) 3:18
- 8.A clock shows 9:11. What time will it show 127 minutes later? (a) 11:08 (b) 11:28 (c) 12:18 (d) 11:18
- 9.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:12? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 159 minutes? =
- 13.A clock shows 11:29. What time will it show 31 minutes later? (a) 1:00 (b) 12:00 (c) 11:50 (d) 12:10
- 14.A clock shows 3:57. What time will it show 36 minutes later? (a) 4:23 (b) 4:43 (c) 5:33 (d) 4:33
- 15.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 16.A clock shows 2:12. What time will it show 47 minutes later? (a) 2:49 (b) 2:59 (c) 3:59 (d) 3:09
- 17.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 162 minutes? =
- 21.A clock shows 3:35. What time will it show 123 minutes later? (a) 6:38 (b) 5:38 (c) 5:48 (d) 5:28
- 22.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 26.A clock shows 8:59. What time will it show 19 minutes later? (a) 9:28 (b) 9:08 (c) 9:18 (d) 10:18
- 27.A clock shows 6:43. What time will it show 34 minutes later? (a) 7:07 (b) 7:17 (c) 7:27 (d) 8:17
- 28.A clock shows 1:06. What time will it show 30 minutes later? (a) 1:36 (b) 1:26 (c) 2:36 (d) 1:46
- 29.A clock shows 10:08. What time will it show 23 minutes later? (a) 10:41 (b) 10:31 (c) 11:31 (d) 10:21
- 30.What is the smaller angle between the hour hand and the minute hand at 1:34? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 117 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 145 minutes? =
- 34.A clock shows 9:02. What time will it show 150 minutes later? (a) 12:32 (b) 11:32 (c) 11:22 (d) 11:42
- 35.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 11:20? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:18? (in degrees) =
Answer key
- 60
- 3:33
- 4:56
- 54
- 86
- 165.5
- 3:18
- 11:18
- 44.5
- 216
- 144
- 79.5
- 12:00
- 4:33
- 12
- 2:59
- 166
- 107.5
- 156
- 81
- 5:38
- 85
- 126
- 44.5
- 174.5
- 9:18
- 7:17
- 1:36
- 10:31
- 157
- 58.5
- 149.5
- 72.5
- 11:32
- 48
- 186
- 170
- 140
- 137
- 129
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