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 7:05. What time will it show 139 minutes later? (a) 10:24 (b) 9:14 (c) 9:34 (d) 9:24
- 2.A clock shows 8:10. What time will it show 137 minutes later? (a) 10:37 (b) 10:27 (c) 10:17 (d) 11:27
- 3.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 10.A clock shows 10:18. What time will it show 131 minutes later? (a) 1:29 (b) 12:39 (c) 12:19 (d) 12:29
- 11.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 12.A clock shows 4:32. What time will it show 71 minutes later? (a) 5:33 (b) 6:43 (c) 5:53 (d) 5:43
- 13.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 16.A clock shows 11:02. What time will it show 103 minutes later? (a) 1:45 (b) 12:45 (c) 12:35 (d) 12:55
- 17.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 19.A clock shows 9:12. What time will it show 42 minutes later? (a) 9:44 (b) 9:54 (c) 10:54 (d) 10:04
- 20.A clock shows 7:26. What time will it show 86 minutes later? (a) 9:52 (b) 9:02 (c) 8:42 (d) 8:52
- 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 6 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 26.A clock shows 1:11. What time will it show 165 minutes later? (a) 4:56 (b) 3:46 (c) 3:56 (d) 4:06
- 27.A clock shows 3:53. What time will it show 16 minutes later? (a) 5:09 (b) 4:19 (c) 4:09 (d) 3:59
- 28.A clock shows 7:23. What time will it show 23 minutes later? (a) 7:56 (b) 7:36 (c) 7:46 (d) 8:46
- 29.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 33.A clock shows 9:11. What time will it show 93 minutes later? (a) 11:44 (b) 10:34 (c) 10:44 (d) 10:54
- 34.A clock shows 1:53. What time will it show 113 minutes later? (a) 3:36 (b) 4:46 (c) 3:56 (d) 3:46
- 35.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 36.A clock shows 11:35. What time will it show 102 minutes later? (a) 1:07 (b) 1:27 (c) 1:17 (d) 2:17
- 37.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 40.A clock shows 2:45. What time will it show 84 minutes later? (a) 3:59 (b) 4:09 (c) 4:19 (d) 5:09
Answer key
- 9:24
- 10:27
- 288
- 64
- 71
- 138
- 64
- 216
- 154.5
- 12:29
- 258
- 5:43
- 75
- 113
- 173
- 12:45
- 120
- 13.5
- 9:54
- 8:52
- 330
- 36
- 91
- 61.5
- 37
- 3:56
- 4:09
- 7:46
- 136.5
- 294
- 90
- 8.5
- 10:44
- 3:46
- 47.5
- 1:17
- 55
- 180
- 87.5
- 4:09
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