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.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
- 4.A clock shows 5:35. What time will it show 64 minutes later? (a) 6:49 (b) 6:29 (c) 6:39 (d) 7:39
- 5.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 6.A clock shows 8:18. What time will it show 127 minutes later? (a) 11:25 (b) 10:35 (c) 10:15 (d) 10:25
- 7.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
- 13.A clock shows 3:29. What time will it show 164 minutes later? (a) 6:23 (b) 6:03 (c) 7:13 (d) 6:13
- 14.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 17.A clock shows 6:12. What time will it show 48 minutes later? (a) 6:50 (b) 7:00 (c) 7:10 (d) 8:00
- 18.A clock shows 4:50. What time will it show 85 minutes later? (a) 6:25 (b) 7:15 (c) 6:15 (d) 6:05
- 19.What is the smaller angle between the hour hand and the minute hand at 11:27? (in degrees) =
- 20.A clock shows 5:35. What time will it show 31 minutes later? (a) 5:56 (b) 7:06 (c) 6:06 (d) 6:16
- 21.A clock shows 3:57. What time will it show 32 minutes later? (a) 4:39 (b) 4:19 (c) 4:29 (d) 5:29
- 22.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 23.A clock shows 1:09. What time will it show 102 minutes later? (a) 2:51 (b) 2:41 (c) 3:51 (d) 3:01
- 24.What is the smaller angle between the hour hand and the minute hand at 10:20? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 59 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 29.A clock shows 5:00. What time will it show 43 minutes later? (a) 5:53 (b) 5:33 (c) 6:43 (d) 5:43
- 30.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 32.A clock shows 4:19. What time will it show 68 minutes later? (a) 6:27 (b) 5:37 (c) 5:17 (d) 5:27
- 33.A clock shows 6:52. What time will it show 34 minutes later? (a) 8:26 (b) 7:26 (c) 7:16 (d) 7:36
- 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 37.A clock shows 10:00. What time will it show 17 minutes later? (a) 10:17 (b) 11:17 (c) 10:27 (d) 10:07
- 38.A clock shows 3:21. What time will it show 55 minutes later? (a) 4:16 (b) 4:26 (c) 4:06 (d) 5:16
- 39.A clock shows 3:03. What time will it show 67 minutes later? (a) 5:10 (b) 4:10 (c) 4:00 (d) 4:20
- 40.How many degrees does the minute hand of a clock turn in 19 minutes? =
Answer key
- 37.5
- 60.5
- 65
- 6:39
- 34
- 10:25
- 25.5
- 258
- 0.5
- 87
- 27
- 49
- 6:13
- 36
- 294
- 106.5
- 7:00
- 6:15
- 178.5
- 6:06
- 4:29
- 70.5
- 2:51
- 170
- 165
- 29.5
- 92
- 300
- 5:43
- 5
- 36.5
- 5:27
- 7:26
- 174
- 49
- 66
- 10:17
- 4:16
- 4:10
- 114
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