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 6:32. What time will it show 14 minutes later? (a) 6:36 (b) 6:46 (c) 7:46 (d) 6:56
- 2.A clock shows 12:32. What time will it show 70 minutes later? (a) 1:32 (b) 1:42 (c) 1:52 (d) 2:42
- 3.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 5.A clock shows 2:38. What time will it show 169 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
- 6.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 9.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 155 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 152 minutes? =
- 15.A clock shows 4:48. What time will it show 73 minutes later? (a) 6:01 (b) 5:51 (c) 7:01 (d) 6:11
- 16.A clock shows 1:18. What time will it show 127 minutes later? (a) 3:15 (b) 4:25 (c) 3:35 (d) 3:25
- 17.A clock shows 2:27. What time will it show 58 minutes later? (a) 4:25 (b) 3:35 (c) 3:25 (d) 3:15
- 18.A clock shows 12:29. What time will it show 14 minutes later? (a) 12:33 (b) 12:43 (c) 12:53 (d) 1:43
- 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 159 minutes? =
- 23.A clock shows 2:05. What time will it show 23 minutes later? (a) 2:18 (b) 3:28 (c) 2:38 (d) 2:28
- 24.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 27.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 28.A clock shows 9:25. What time will it show 128 minutes later? (a) 11:43 (b) 11:33 (c) 11:23 (d) 12:33
- 29.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
- 31.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
- 35.A clock shows 10:14. What time will it show 125 minutes later? (a) 12:09 (b) 12:29 (c) 12:19 (d) 1:19
- 36.A clock shows 6:14. What time will it show 43 minutes later? (a) 6:47 (b) 7:57 (c) 6:57 (d) 7:07
- 37.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
- 40.A clock shows 5:46. What time will it show 125 minutes later? (a) 7:41 (b) 8:51 (c) 7:51 (d) 8:01
Answer key
- 6:46
- 1:42
- 148
- 81.5
- 5:27
- 113
- 137
- 83.5
- 144
- 22
- 77.5
- 36.5
- 110.5
- 76
- 6:01
- 3:25
- 3:25
- 12:43
- 60
- 45.5
- 234
- 79.5
- 2:28
- 20
- 60
- 26.5
- 246
- 11:33
- 342
- 160.5
- 294
- 330
- 4
- 13
- 12:19
- 6:57
- 5.5
- 18
- 126.5
- 7:51
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