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 10:05? (in degrees) =
- 2.A clock shows 8:39. What time will it show 88 minutes later? (a) 10:17 (b) 9:57 (c) 10:07 (d) 11:07
- 3.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 4.A clock shows 6:40. What time will it show 48 minutes later? (a) 7:38 (b) 7:18 (c) 7:28 (d) 8:28
- 5.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
- 8.A clock shows 11:16. What time will it show 88 minutes later? (a) 12:34 (b) 12:54 (c) 12:44 (d) 1:44
- 9.A clock shows 11:53. What time will it show 24 minutes later? (a) 12:27 (b) 1:17 (c) 12:07 (d) 12:17
- 10.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:38? (in degrees) =
- 12.A clock shows 8:33. What time will it show 97 minutes later? (a) 10:20 (b) 10:00 (c) 11:10 (d) 10:10
- 13.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
- 14.A clock shows 9:17. What time will it show 129 minutes later? (a) 11:16 (b) 11:26 (c) 12:26 (d) 11:36
- 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 157 minutes? =
- 17.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 18.A clock shows 11:01. What time will it show 28 minutes later? (a) 12:29 (b) 11:19 (c) 11:29 (d) 11:39
- 19.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
- 20.A clock shows 5:42. What time will it show 90 minutes later? (a) 7:02 (b) 7:12 (c) 8:12 (d) 7:22
- 21.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 22.A clock shows 3:12. What time will it show 11 minutes later? (a) 3:23 (b) 3:13 (c) 3:33 (d) 4:23
- 23.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 29.A clock shows 4:14. What time will it show 107 minutes later? (a) 6:11 (b) 6:01 (c) 7:01 (d) 5:51
- 30.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 31.A clock shows 1:46. What time will it show 10 minutes later? (a) 1:46 (b) 2:56 (c) 1:56 (d) 2:06
- 32.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 35.A clock shows 10:51. What time will it show 120 minutes later? (a) 1:51 (b) 12:41 (c) 12:51 (d) 1:01
- 36.A clock shows 10:35. What time will it show 19 minutes later? (a) 11:54 (b) 10:44 (c) 11:04 (d) 10:54
- 37.A clock shows 12:34. What time will it show 103 minutes later? (a) 2:27 (b) 2:17 (c) 3:17 (d) 2:07
- 38.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 39.A clock shows 8:11. What time will it show 58 minutes later? (a) 8:59 (b) 10:09 (c) 9:19 (d) 9:09
- 40.A clock shows 9:28. What time will it show 79 minutes later? (a) 11:47 (b) 10:37 (c) 10:47 (d) 10:57
Answer key
- 87.5
- 10:07
- 222
- 7:28
- 54
- 342
- 13.5
- 12:44
- 12:17
- 34.5
- 151
- 10:10
- 153.5
- 11:26
- 252
- 78.5
- 180
- 11:29
- 99.5
- 7:12
- 77.5
- 3:23
- 132
- 174
- 29
- 172
- 108.5
- 27
- 6:01
- 166
- 1:56
- 147.5
- 192
- 35.5
- 12:51
- 10:54
- 2:17
- 70.5
- 9:09
- 10:47
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