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 14 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 3.A clock shows 9:00. What time will it show 129 minutes later? (a) 12:09 (b) 11:19 (c) 11:09 (d) 10:59
- 4.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
- 7.A clock shows 10:29. What time will it show 26 minutes later? (a) 10:45 (b) 11:55 (c) 10:55 (d) 11:05
- 8.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:05? (in degrees) =
- 10.A clock shows 6:19. What time will it show 35 minutes later? (a) 6:54 (b) 7:04 (c) 7:54 (d) 6:44
- 11.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 12.A clock shows 11:00. What time will it show 132 minutes later? (a) 1:12 (b) 2:12 (c) 1:02 (d) 1:22
- 13.A clock shows 4:43. What time will it show 22 minutes later? (a) 5:15 (b) 4:55 (c) 6:05 (d) 5:05
- 14.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
- 21.A clock shows 6:50. What time will it show 67 minutes later? (a) 7:47 (b) 7:57 (c) 8:57 (d) 8:07
- 22.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
- 23.A clock shows 6:06. What time will it show 102 minutes later? (a) 7:58 (b) 7:38 (c) 8:48 (d) 7:48
- 24.How many degrees does the hour hand of a clock turn in 122 minutes? =
- 25.A clock shows 2:27. What time will it show 67 minutes later? (a) 3:44 (b) 3:34 (c) 4:34 (d) 3:24
- 26.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 28.A clock shows 1:23. What time will it show 41 minutes later? (a) 1:54 (b) 3:04 (c) 2:14 (d) 2:04
- 29.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 33.A clock shows 7:04. What time will it show 83 minutes later? (a) 8:37 (b) 8:17 (c) 9:27 (d) 8:27
- 34.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 35.A clock shows 1:41. What time will it show 140 minutes later? (a) 3:51 (b) 5:01 (c) 4:11 (d) 4:01
- 36.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 37.A clock shows 9:59. What time will it show 62 minutes later? (a) 11:11 (b) 10:51 (c) 11:01 (d) 12:01
- 38.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
Answer key
- 84
- 116.5
- 11:09
- 60
- 35
- 66.5
- 10:55
- 72
- 147.5
- 6:54
- 64.5
- 1:12
- 5:05
- 81.5
- 43
- 5
- 22
- 161.5
- 109
- 142
- 7:57
- 108.5
- 7:48
- 61
- 3:34
- 29
- 74.5
- 2:04
- 66
- 46.5
- 30
- 141
- 8:27
- 175.5
- 4:01
- 13
- 11:01
- 20
- 138.5
- 100
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