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 10:55. What time will it show 61 minutes later? (a) 11:56 (b) 11:46 (c) 12:06 (d) 12:56
- 2.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 5.A clock shows 3:17. What time will it show 64 minutes later? (a) 4:31 (b) 4:21 (c) 5:21 (d) 4:11
- 6.How many degrees does the hour hand of a clock turn in 164 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 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 11:25? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
- 19.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 24.A clock shows 4:20. What time will it show 19 minutes later? (a) 4:39 (b) 4:49 (c) 4:29 (d) 5:39
- 25.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 27.A clock shows 11:13. What time will it show 98 minutes later? (a) 1:01 (b) 1:51 (c) 12:51 (d) 12:41
- 28.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 31.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
- 33.A clock shows 12:34. What time will it show 22 minutes later? (a) 1:06 (b) 12:46 (c) 1:56 (d) 12:56
- 34.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 18 minutes? =
Answer key
- 11:56
- 85
- 87
- 41.5
- 4:21
- 82
- 27.5
- 144
- 167.5
- 149
- 24
- 116.5
- 38
- 246
- 71.5
- 21.5
- 105.5
- 37.5
- 96
- 35
- 84
- 264
- 178
- 4:39
- 174
- 172.5
- 12:51
- 122.5
- 148
- 77.5
- 77
- 43
- 12:56
- 161.5
- 101.5
- 168
- 176.5
- 32.5
- 47.5
- 108
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