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 1:06. What time will it show 150 minutes later? (a) 3:46 (b) 3:26 (c) 4:36 (d) 3:36
- 2.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 3.A clock shows 6:14. What time will it show 157 minutes later? (a) 8:51 (b) 9:01 (c) 8:41 (d) 9:51
- 4.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 5.A clock shows 4:56. What time will it show 32 minutes later? (a) 5:18 (b) 5:28 (c) 5:38 (d) 6:28
- 6.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 174 minutes? =
- 8.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
- 12.A clock shows 3:17. What time will it show 121 minutes later? (a) 5:08 (b) 5:18 (c) 6:18 (d) 5:28
- 13.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
- 19.A clock shows 8:30. What time will it show 100 minutes later? (a) 11:10 (b) 10:20 (c) 10:00 (d) 10:10
- 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 21.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 8:30? (in degrees) =
- 24.A clock shows 6:57. What time will it show 26 minutes later? (a) 8:23 (b) 7:13 (c) 7:23 (d) 7:33
- 25.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
- 27.A clock shows 2:40. What time will it show 153 minutes later? (a) 5:03 (b) 6:13 (c) 5:13 (d) 5:23
- 28.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 31.A clock shows 7:38. What time will it show 55 minutes later? (a) 8:43 (b) 8:23 (c) 9:33 (d) 8:33
- 32.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
- 38.A clock shows 5:56. What time will it show 22 minutes later? (a) 6:18 (b) 6:08 (c) 7:18 (d) 6:28
- 39.A clock shows 10:31. What time will it show 45 minutes later? (a) 11:16 (b) 12:16 (c) 11:26 (d) 11:06
- 40.A clock shows 11:25. What time will it show 167 minutes later? (a) 2:12 (b) 3:12 (c) 2:02 (d) 2:22
Answer key
- 3:36
- 222
- 8:51
- 246
- 5:28
- 234
- 87
- 96
- 153
- 18.5
- 27
- 5:18
- 34
- 6.5
- 85
- 173.5
- 198
- 48
- 10:10
- 54
- 38
- 52
- 75
- 7:23
- 86
- 18.5
- 5:13
- 72
- 44.5
- 288
- 8:33
- 140.5
- 109
- 18
- 150
- 150
- 176
- 6:18
- 11:16
- 2:12
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