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 7:01. What time will it show 36 minutes later? (a) 7:27 (b) 7:47 (c) 8:37 (d) 7:37
- 2.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 146 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
- 12.A clock shows 10:03. What time will it show 62 minutes later? (a) 10:55 (b) 11:05 (c) 12:05 (d) 11:15
- 13.How many degrees does the hour hand of a clock turn in 120 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 17.A clock shows 2:53. What time will it show 72 minutes later? (a) 4:15 (b) 5:05 (c) 3:55 (d) 4:05
- 18.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 20.A clock shows 11:34. What time will it show 154 minutes later? (a) 2:18 (b) 1:58 (c) 2:08 (d) 3:08
- 21.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
- 22.A clock shows 11:02. What time will it show 34 minutes later? (a) 12:36 (b) 11:36 (c) 11:46 (d) 11:26
- 23.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 98 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
- 26.A clock shows 3:57. What time will it show 138 minutes later? (a) 6:25 (b) 6:05 (c) 7:15 (d) 6:15
- 27.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 8:28? (in degrees) =
- 29.A clock shows 10:36. What time will it show 29 minutes later? (a) 12:05 (b) 10:55 (c) 11:15 (d) 11:05
- 30.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 69 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 40.A clock shows 1:42. What time will it show 78 minutes later? (a) 2:50 (b) 4:00 (c) 3:00 (d) 3:10
Answer key
- 7:37
- 43
- 276
- 72
- 73
- 155.5
- 97.5
- 138
- 116
- 23.5
- 0.5
- 11:05
- 60
- 30
- 81
- 216
- 4:05
- 270
- 78
- 2:08
- 124.5
- 11:36
- 300
- 49
- 143.5
- 6:15
- 114
- 86
- 11:05
- 6
- 98.5
- 198
- 56
- 58
- 22.5
- 139.5
- 34.5
- 312
- 228
- 3:00
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