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.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 2.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:41? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 7.A clock shows 1:22. What time will it show 104 minutes later? (a) 2:56 (b) 4:06 (c) 3:16 (d) 3:06
- 8.What is the smaller angle between the hour hand and the minute hand at 5:49? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 10.A clock shows 3:21. What time will it show 53 minutes later? (a) 4:14 (b) 5:14 (c) 4:24 (d) 4:04
- 11.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 13.A clock shows 7:59. What time will it show 70 minutes later? (a) 9:19 (b) 8:59 (c) 9:09 (d) 10:09
- 14.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 15.A clock shows 6:35. What time will it show 83 minutes later? (a) 7:58 (b) 7:48 (c) 8:58 (d) 8:08
- 16.What is the smaller angle between the hour hand and the minute hand at 9:08? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 18.A clock shows 9:20. What time will it show 65 minutes later? (a) 11:25 (b) 10:35 (c) 10:15 (d) 10:25
- 19.A clock shows 9:26. What time will it show 10 minutes later? (a) 9:46 (b) 9:26 (c) 10:36 (d) 9:36
- 20.A clock shows 8:11. What time will it show 104 minutes later? (a) 9:45 (b) 10:05 (c) 10:55 (d) 9:55
- 21.A clock shows 3:59. What time will it show 30 minutes later? (a) 4:39 (b) 4:29 (c) 4:19 (d) 5:29
- 22.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 30.A clock shows 5:06. What time will it show 25 minutes later? (a) 5:21 (b) 5:31 (c) 6:31 (d) 5:41
- 31.A clock shows 1:02. What time will it show 94 minutes later? (a) 3:36 (b) 2:36 (c) 2:26 (d) 2:46
- 32.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 34.A clock shows 4:03. What time will it show 106 minutes later? (a) 6:49 (b) 5:39 (c) 5:49 (d) 5:59
- 35.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
- 36.A clock shows 2:10. What time will it show 90 minutes later? (a) 3:50 (b) 3:30 (c) 4:40 (d) 3:40
- 37.What is the smaller angle between the hour hand and the minute hand at 11:54? (in degrees) =
- 38.A clock shows 5:55. What time will it show 11 minutes later? (a) 5:56 (b) 6:16 (c) 7:06 (d) 6:06
- 39.A clock shows 1:39. What time will it show 135 minutes later? (a) 3:54 (b) 3:44 (c) 4:54 (d) 4:04
- 40.How many degrees does the minute hand of a clock turn in 40 minutes? =
Answer key
- 186
- 55.5
- 138
- 45.5
- 23
- 179.5
- 3:06
- 119.5
- 116.5
- 4:14
- 120
- 34
- 9:09
- 125.5
- 7:58
- 134
- 342
- 10:25
- 9:36
- 9:55
- 4:29
- 330
- 42
- 91.5
- 134
- 2
- 86.5
- 300
- 14
- 5:31
- 2:36
- 93
- 100.5
- 5:49
- 134.5
- 3:40
- 33
- 6:06
- 3:54
- 240
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