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 10:05. What time will it show 131 minutes later? (a) 12:16 (b) 1:16 (c) 12:06 (d) 12:26
- 2.A clock shows 9:36. What time will it show 156 minutes later? (a) 12:22 (b) 12:02 (c) 1:12 (d) 12:12
- 3.A clock shows 7:48. What time will it show 39 minutes later? (a) 8:17 (b) 8:27 (c) 9:27 (d) 8:37
- 4.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 6.A clock shows 2:27. What time will it show 13 minutes later? (a) 2:30 (b) 3:40 (c) 2:50 (d) 2:40
- 7.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 8.A clock shows 11:18. What time will it show 72 minutes later? (a) 12:40 (b) 1:30 (c) 12:30 (d) 12:20
- 9.A clock shows 8:35. What time will it show 136 minutes later? (a) 11:01 (b) 10:41 (c) 10:51 (d) 11:51
- 10.What is the smaller angle between the hour hand and the minute hand at 8:20? (in degrees) =
- 11.A clock shows 9:31. What time will it show 159 minutes later? (a) 12:10 (b) 12:00 (c) 1:10 (d) 12:20
- 12.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
- 15.A clock shows 9:03. What time will it show 50 minutes later? (a) 10:53 (b) 9:53 (c) 10:03 (d) 9:43
- 16.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 17.A clock shows 9:24. What time will it show 41 minutes later? (a) 10:15 (b) 10:05 (c) 9:55 (d) 11:05
- 18.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 20.A clock shows 3:17. What time will it show 158 minutes later? (a) 5:45 (b) 5:55 (c) 6:05 (d) 6:55
- 21.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
- 22.A clock shows 1:13. What time will it show 15 minutes later? (a) 2:28 (b) 1:38 (c) 1:28 (d) 1:18
- 23.A clock shows 1:36. What time will it show 120 minutes later? (a) 3:26 (b) 4:36 (c) 3:46 (d) 3:36
- 24.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
- 25.A clock shows 6:55. What time will it show 34 minutes later? (a) 7:19 (b) 7:29 (c) 7:39 (d) 8:29
- 26.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 28.A clock shows 7:07. What time will it show 63 minutes later? (a) 8:10 (b) 8:00 (c) 8:20 (d) 9:10
- 29.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 34.A clock shows 2:55. What time will it show 55 minutes later? (a) 3:50 (b) 4:50 (c) 3:40 (d) 4:00
- 35.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 36.A clock shows 2:35. What time will it show 54 minutes later? (a) 4:29 (b) 3:19 (c) 3:29 (d) 3:39
- 37.A clock shows 12:31. What time will it show 141 minutes later? (a) 2:42 (b) 2:52 (c) 3:52 (d) 3:02
- 38.How many degrees does the hour hand of a clock turn in 13 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
Answer key
- 12:16
- 12:12
- 8:27
- 24
- 66
- 2:40
- 126
- 12:30
- 10:51
- 130
- 12:10
- 66
- 146.5
- 114.5
- 9:53
- 144
- 10:05
- 9.5
- 174
- 5:55
- 73.5
- 1:28
- 3:36
- 161
- 7:29
- 57.5
- 155.5
- 8:10
- 8.5
- 90
- 62.5
- 24
- 9
- 3:50
- 82
- 3:29
- 2:52
- 6.5
- 306
- 3.5
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