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 15 minutes? =
- 2.A clock shows 6:02. What time will it show 35 minutes later? (a) 7:37 (b) 6:37 (c) 6:47 (d) 6:27
- 3.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 143 minutes? =
- 6.A clock shows 1:11. What time will it show 19 minutes later? (a) 1:40 (b) 2:30 (c) 1:30 (d) 1:20
- 7.A clock shows 5:30. What time will it show 156 minutes later? (a) 9:06 (b) 7:56 (c) 8:06 (d) 8:16
- 8.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 10.A clock shows 1:48. What time will it show 36 minutes later? (a) 2:34 (b) 2:14 (c) 3:24 (d) 2:24
- 11.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
- 12.A clock shows 7:37. What time will it show 53 minutes later? (a) 9:30 (b) 8:20 (c) 8:40 (d) 8:30
- 13.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 15.A clock shows 4:14. What time will it show 45 minutes later? (a) 5:59 (b) 5:09 (c) 4:49 (d) 4:59
- 16.A clock shows 2:58. What time will it show 114 minutes later? (a) 5:52 (b) 5:02 (c) 4:42 (d) 4:52
- 17.A clock shows 5:46. What time will it show 80 minutes later? (a) 7:06 (b) 8:06 (c) 6:56 (d) 7:16
- 18.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 19.A clock shows 8:00. What time will it show 89 minutes later? (a) 9:29 (b) 9:19 (c) 10:29 (d) 9:39
- 20.A clock shows 10:56. What time will it show 127 minutes later? (a) 2:03 (b) 1:03 (c) 12:53 (d) 1:13
- 21.A clock shows 3:58. What time will it show 54 minutes later? (a) 5:52 (b) 5:02 (c) 4:52 (d) 4:42
- 22.A clock shows 1:11. What time will it show 125 minutes later? (a) 4:16 (b) 3:06 (c) 3:16 (d) 3:26
- 23.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 31.A clock shows 6:49. What time will it show 157 minutes later? (a) 10:26 (b) 9:26 (c) 9:16 (d) 9:36
- 32.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 5:36? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 37.A clock shows 4:51. What time will it show 69 minutes later? (a) 6:10 (b) 7:00 (c) 5:50 (d) 6:00
- 38.A clock shows 5:01. What time will it show 20 minutes later? (a) 6:21 (b) 5:21 (c) 5:31 (d) 5:11
- 39.A clock shows 2:01. What time will it show 89 minutes later? (a) 4:30 (b) 3:20 (c) 3:40 (d) 3:30
- 40.How many degrees does the hour hand of a clock turn in 36 minutes? =
Answer key
- 90
- 6:37
- 30
- 98.5
- 71.5
- 1:30
- 8:06
- 35.5
- 70.5
- 2:24
- 24
- 8:30
- 8.5
- 52.5
- 4:59
- 4:52
- 7:06
- 68.5
- 9:29
- 1:03
- 4:52
- 3:16
- 34
- 89.5
- 27.5
- 167
- 22
- 306
- 216
- 76
- 9:26
- 168.5
- 6.5
- 48
- 42
- 14.5
- 6:00
- 5:21
- 3:30
- 18
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