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 7:27? (in degrees) =
- 2.A clock shows 4:08. What time will it show 33 minutes later? (a) 4:51 (b) 4:41 (c) 4:31 (d) 5:41
- 3.A clock shows 7:33. What time will it show 166 minutes later? (a) 11:19 (b) 10:09 (c) 10:19 (d) 10:29
- 4.A clock shows 2:23. What time will it show 35 minutes later? (a) 3:08 (b) 3:58 (c) 2:48 (d) 2:58
- 5.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 9.A clock shows 7:33. What time will it show 144 minutes later? (a) 9:47 (b) 9:57 (c) 10:07 (d) 10:57
- 10.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
- 12.A clock shows 2:25. What time will it show 57 minutes later? (a) 4:22 (b) 3:12 (c) 3:32 (d) 3:22
- 13.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
- 16.A clock shows 2:40. What time will it show 38 minutes later? (a) 3:18 (b) 3:28 (c) 3:08 (d) 4:18
- 17.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 18.A clock shows 10:10. What time will it show 39 minutes later? (a) 10:59 (b) 10:49 (c) 11:49 (d) 10:39
- 19.A clock shows 11:55. What time will it show 158 minutes later? (a) 2:33 (b) 2:23 (c) 3:33 (d) 2:43
- 20.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 27.A clock shows 3:44. What time will it show 53 minutes later? (a) 4:37 (b) 4:27 (c) 4:47 (d) 5:37
- 28.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 82 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 108 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 10:56? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 53 minutes? =
Answer key
- 61.5
- 4:41
- 10:19
- 2:58
- 18.5
- 106.5
- 106
- 155.5
- 9:57
- 38
- 130
- 3:22
- 52
- 93
- 59
- 3:18
- 13.5
- 10:49
- 2:33
- 100
- 90
- 150
- 288
- 270
- 61.5
- 10.5
- 4:37
- 23.5
- 41
- 124.5
- 135
- 9
- 5
- 54
- 129.5
- 15
- 78.5
- 8
- 115
- 318
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