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 4:27. What time will it show 50 minutes later? (a) 5:07 (b) 5:17 (c) 5:27 (d) 6:17
- 2.A clock shows 7:30. What time will it show 28 minutes later? (a) 8:58 (b) 8:08 (c) 7:48 (d) 7:58
- 3.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
- 5.A clock shows 5:08. What time will it show 130 minutes later? (a) 7:08 (b) 7:28 (c) 8:18 (d) 7:18
- 6.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 14.A clock shows 6:32. What time will it show 166 minutes later? (a) 9:08 (b) 10:18 (c) 9:28 (d) 9:18
- 15.A clock shows 8:11. What time will it show 141 minutes later? (a) 10:42 (b) 10:22 (c) 11:32 (d) 10:32
- 16.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 18.A clock shows 8:31. What time will it show 69 minutes later? (a) 9:50 (b) 9:30 (c) 10:40 (d) 9:40
- 19.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 122 minutes? =
- 23.A clock shows 7:43. What time will it show 16 minutes later? (a) 8:59 (b) 7:59 (c) 8:09 (d) 7:49
- 24.A clock shows 11:42. What time will it show 17 minutes later? (a) 11:49 (b) 12:09 (c) 12:59 (d) 11:59
- 25.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 27.A clock shows 4:33. What time will it show 144 minutes later? (a) 6:57 (b) 7:07 (c) 6:47 (d) 7:57
- 28.A clock shows 10:16. What time will it show 34 minutes later? (a) 10:50 (b) 11:00 (c) 11:50 (d) 10:40
- 29.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
- 36.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
- 39.A clock shows 10:31. What time will it show 143 minutes later? (a) 12:44 (b) 1:04 (c) 1:54 (d) 12:54
- 40.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
Answer key
- 5:17
- 7:58
- 138
- 108
- 7:18
- 22.5
- 222
- 144
- 177
- 19
- 57.5
- 23
- 30
- 9:18
- 10:32
- 2
- 65
- 9:40
- 6
- 96.5
- 12.5
- 61
- 7:59
- 11:59
- 71.5
- 120
- 6:57
- 10:50
- 35.5
- 306
- 162
- 28
- 152
- 121.5
- 86.5
- 15.5
- 155.5
- 21.5
- 12:54
- 46
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