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 hour hand of a clock turn in 107 minutes? =
- 2.A clock shows 6:15. What time will it show 109 minutes later? (a) 8:04 (b) 7:54 (c) 9:04 (d) 8:14
- 3.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 5.A clock shows 10:41. What time will it show 79 minutes later? (a) 11:50 (b) 1:00 (c) 12:00 (d) 12:10
- 6.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
- 7.A clock shows 8:30. What time will it show 47 minutes later? (a) 9:17 (b) 9:07 (c) 10:17 (d) 9:27
- 8.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 10.How many degrees does the hour hand of a clock turn in 162 minutes? =
- 11.A clock shows 10:10. What time will it show 31 minutes later? (a) 10:31 (b) 10:51 (c) 11:41 (d) 10:41
- 12.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 50 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
- 22.A clock shows 1:42. What time will it show 128 minutes later? (a) 3:40 (b) 4:50 (c) 4:00 (d) 3:50
- 23.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
- 25.How many degrees does the hour hand of a clock turn in 178 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 130 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 1:56? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
- 34.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 36.A clock shows 5:46. What time will it show 166 minutes later? (a) 8:22 (b) 8:42 (c) 8:32 (d) 9:32
- 37.A clock shows 8:36. What time will it show 164 minutes later? (a) 12:20 (b) 11:30 (c) 11:10 (d) 11:20
- 38.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 40.A clock shows 4:00. What time will it show 94 minutes later? (a) 5:44 (b) 6:34 (c) 5:34 (d) 5:24
Answer key
- 53.5
- 8:04
- 73
- 172
- 12:00
- 142.5
- 9:17
- 16.5
- 42
- 81
- 10:41
- 63.5
- 128.5
- 25
- 33
- 138
- 131
- 135.5
- 65
- 24.5
- 99
- 3:50
- 167
- 154
- 89
- 66.5
- 49.5
- 48.5
- 93.5
- 65
- 177.5
- 82
- 8
- 14.5
- 126
- 8:32
- 11:20
- 258
- 165.5
- 5:34
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