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 12:30. What time will it show 152 minutes later? (a) 3:02 (b) 2:52 (c) 4:02 (d) 3:12
- 2.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
- 3.A clock shows 9:46. What time will it show 99 minutes later? (a) 11:35 (b) 11:15 (c) 12:25 (d) 11:25
- 4.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
- 5.A clock shows 2:30. What time will it show 140 minutes later? (a) 5:00 (b) 4:50 (c) 4:40 (d) 5:50
- 6.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 10.A clock shows 4:21. What time will it show 93 minutes later? (a) 5:44 (b) 6:04 (c) 5:54 (d) 6:54
- 11.A clock shows 1:27. What time will it show 62 minutes later? (a) 2:39 (b) 2:29 (c) 2:19 (d) 3:29
- 12.How many degrees does the hour hand of a clock turn in 124 minutes? =
- 13.A clock shows 11:46. What time will it show 33 minutes later? (a) 1:19 (b) 12:19 (c) 12:09 (d) 12:29
- 14.A clock shows 11:21. What time will it show 76 minutes later? (a) 12:37 (b) 12:47 (c) 1:37 (d) 12:27
- 15.A clock shows 7:53. What time will it show 10 minutes later? (a) 9:03 (b) 8:03 (c) 7:53 (d) 8:13
- 16.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 20.A clock shows 1:38. What time will it show 155 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
- 21.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
- 23.A clock shows 8:00. What time will it show 96 minutes later? (a) 10:36 (b) 9:46 (c) 9:36 (d) 9:26
- 24.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
- 29.A clock shows 11:35. What time will it show 165 minutes later? (a) 3:20 (b) 2:20 (c) 2:10 (d) 2:30
- 30.A clock shows 3:23. What time will it show 80 minutes later? (a) 5:43 (b) 4:53 (c) 4:33 (d) 4:43
- 31.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
- 35.A clock shows 10:42. What time will it show 91 minutes later? (a) 12:23 (b) 1:13 (c) 12:03 (d) 12:13
- 36.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
- 37.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 131 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
Answer key
- 3:02
- 99
- 11:25
- 96.5
- 4:50
- 174
- 128.5
- 306
- 234
- 5:54
- 2:29
- 62
- 12:19
- 12:37
- 8:03
- 5.5
- 176
- 132
- 121
- 4:13
- 11
- 98
- 9:36
- 288
- 348
- 136.5
- 324
- 57
- 2:20
- 4:43
- 123.5
- 23.5
- 16.5
- 20.5
- 12:13
- 133
- 330
- 276
- 65.5
- 125.5
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