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 4:26. What time will it show 39 minutes later? (a) 5:15 (b) 6:05 (c) 5:05 (d) 4:55
- 2.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 3.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:23? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 13.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 15.A clock shows 7:25. What time will it show 66 minutes later? (a) 9:31 (b) 8:31 (c) 8:41 (d) 8:21
- 16.A clock shows 5:52. What time will it show 77 minutes later? (a) 8:09 (b) 6:59 (c) 7:19 (d) 7:09
- 17.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
- 18.A clock shows 10:22. What time will it show 152 minutes later? (a) 12:54 (b) 1:04 (c) 1:54 (d) 12:44
- 19.How many degrees does the hour hand of a clock turn in 61 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
- 25.A clock shows 4:01. What time will it show 49 minutes later? (a) 5:50 (b) 4:40 (c) 5:00 (d) 4:50
- 26.A clock shows 1:27. What time will it show 93 minutes later? (a) 4:00 (b) 3:10 (c) 2:50 (d) 3:00
- 27.A clock shows 5:13. What time will it show 57 minutes later? (a) 6:10 (b) 7:10 (c) 6:20 (d) 6:00
- 28.A clock shows 7:39. What time will it show 50 minutes later? (a) 8:19 (b) 9:29 (c) 8:39 (d) 8:29
- 29.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 30.A clock shows 2:13. What time will it show 56 minutes later? (a) 2:59 (b) 3:09 (c) 4:09 (d) 3:19
- 31.A clock shows 12:38. What time will it show 76 minutes later? (a) 1:44 (b) 2:54 (c) 2:04 (d) 1:54
- 32.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
- 33.A clock shows 11:12. What time will it show 59 minutes later? (a) 1:11 (b) 12:11 (c) 12:01 (d) 12:21
- 34.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 36.A clock shows 12:49. What time will it show 59 minutes later? (a) 1:58 (b) 1:48 (c) 1:38 (d) 2:48
- 37.A clock shows 2:17. What time will it show 138 minutes later? (a) 5:35 (b) 4:45 (c) 4:35 (d) 4:25
- 38.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
Answer key
- 5:05
- 81.5
- 102
- 36.5
- 124.5
- 53.5
- 22.5
- 30
- 129.5
- 156.5
- 324
- 89
- 11
- 34
- 8:31
- 7:09
- 44
- 12:54
- 30.5
- 67
- 60
- 43
- 84
- 118
- 4:50
- 3:00
- 6:10
- 8:29
- 22
- 3:09
- 1:54
- 135
- 12:11
- 72
- 74
- 1:48
- 4:35
- 98.5
- 57.5
- 140.5
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