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 54 minutes? =
- 2.A clock shows 9:18. What time will it show 104 minutes later? (a) 12:02 (b) 11:02 (c) 10:52 (d) 11:12
- 3.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
- 4.A clock shows 10:34. What time will it show 153 minutes later? (a) 12:57 (b) 1:17 (c) 1:07 (d) 2:07
- 5.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
- 6.A clock shows 10:17. What time will it show 68 minutes later? (a) 11:25 (b) 11:15 (c) 12:25 (d) 11:35
- 7.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 8.A clock shows 1:16. What time will it show 41 minutes later? (a) 2:07 (b) 2:57 (c) 1:47 (d) 1:57
- 9.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 12.A clock shows 8:00. What time will it show 20 minutes later? (a) 8:10 (b) 8:20 (c) 8:30 (d) 9:20
- 13.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 14.A clock shows 4:35. What time will it show 94 minutes later? (a) 6:19 (b) 5:59 (c) 6:09 (d) 7:09
- 15.A clock shows 4:19. What time will it show 164 minutes later? (a) 7:13 (b) 6:53 (c) 8:03 (d) 7:03
- 16.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:54? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 20 minutes? =
- 20.A clock shows 1:06. What time will it show 109 minutes later? (a) 2:45 (b) 2:55 (c) 3:05 (d) 3:55
- 21.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 23.A clock shows 1:06. What time will it show 16 minutes later? (a) 2:22 (b) 1:32 (c) 1:22 (d) 1:12
- 24.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 26.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 34.A clock shows 8:45. What time will it show 111 minutes later? (a) 10:36 (b) 10:26 (c) 11:36 (d) 10:46
- 35.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 37.A clock shows 3:01. What time will it show 20 minutes later? (a) 3:21 (b) 3:31 (c) 4:21 (d) 3:11
- 38.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 102 minutes? =
Answer key
- 324
- 11:02
- 76.5
- 1:07
- 89
- 11:25
- 54.5
- 1:57
- 23
- 121
- 40
- 8:20
- 36.5
- 6:09
- 7:03
- 80.5
- 57
- 48
- 10
- 2:55
- 14.5
- 162
- 1:22
- 178.5
- 89.5
- 180
- 76
- 46
- 168.5
- 13
- 42
- 216
- 63.5
- 10:36
- 87
- 234
- 3:21
- 110
- 19.5
- 51
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