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 5:29. What time will it show 93 minutes later? (a) 8:02 (b) 7:12 (c) 6:52 (d) 7:02
- 2.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 3.A clock shows 9:05. What time will it show 83 minutes later? (a) 10:38 (b) 10:28 (c) 11:28 (d) 10:18
- 4.A clock shows 10:01. What time will it show 145 minutes later? (a) 1:26 (b) 12:16 (c) 12:36 (d) 12:26
- 5.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 7.A clock shows 5:29. What time will it show 123 minutes later? (a) 7:32 (b) 8:32 (c) 7:42 (d) 7:22
- 8.How many degrees does the hour hand of a clock turn in 116 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
- 14.A clock shows 4:31. What time will it show 44 minutes later? (a) 5:05 (b) 5:25 (c) 5:15 (d) 6:15
- 15.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
- 16.A clock shows 6:32. What time will it show 40 minutes later? (a) 7:22 (b) 8:12 (c) 7:02 (d) 7:12
- 17.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
- 23.A clock shows 5:00. What time will it show 15 minutes later? (a) 5:15 (b) 5:05 (c) 6:15 (d) 5:25
- 24.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 25.A clock shows 11:05. What time will it show 75 minutes later? (a) 1:20 (b) 12:30 (c) 12:10 (d) 12:20
- 26.A clock shows 12:33. What time will it show 137 minutes later? (a) 2:50 (b) 3:00 (c) 3:50 (d) 2:40
- 27.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 6:35? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
- 30.A clock shows 5:32. What time will it show 75 minutes later? (a) 7:47 (b) 6:47 (c) 6:37 (d) 6:57
- 31.A clock shows 6:56. What time will it show 79 minutes later? (a) 8:25 (b) 8:05 (c) 8:15 (d) 9:15
- 32.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
- 33.A clock shows 5:16. What time will it show 66 minutes later? (a) 6:32 (b) 6:12 (c) 6:22 (d) 7:22
- 34.A clock shows 6:02. What time will it show 128 minutes later? (a) 9:10 (b) 8:10 (c) 8:00 (d) 8:20
- 35.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
- 36.A clock shows 11:00. What time will it show 109 minutes later? (a) 12:39 (b) 12:59 (c) 12:49 (d) 1:49
- 37.A clock shows 2:39. What time will it show 123 minutes later? (a) 4:32 (b) 5:42 (c) 4:52 (d) 4:42
- 38.A clock shows 8:56. What time will it show 71 minutes later? (a) 10:07 (b) 10:17 (c) 11:07 (d) 9:57
- 39.A clock shows 6:59. What time will it show 71 minutes later? (a) 8:20 (b) 8:00 (c) 9:10 (d) 8:10
- 40.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
Answer key
- 7:02
- 63.5
- 10:28
- 12:26
- 59.5
- 156
- 7:32
- 58
- 80
- 222
- 3.5
- 132.5
- 62.5
- 5:15
- 29.5
- 7:12
- 81
- 48
- 163
- 62.5
- 120
- 81.5
- 5:15
- 162
- 12:20
- 2:50
- 68.5
- 12.5
- 115
- 6:47
- 8:15
- 145.5
- 6:22
- 8:10
- 32.5
- 12:49
- 4:42
- 10:07
- 8:10
- 92
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