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 3:09. What time will it show 88 minutes later? (a) 5:37 (b) 4:47 (c) 4:27 (d) 4:37
- 2.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:18? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 8.A clock shows 8:08. What time will it show 22 minutes later? (a) 9:30 (b) 8:30 (c) 8:20 (d) 8:40
- 9.A clock shows 3:01. What time will it show 28 minutes later? (a) 3:19 (b) 4:29 (c) 3:29 (d) 3:39
- 10.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 11.A clock shows 7:50. What time will it show 166 minutes later? (a) 11:36 (b) 10:26 (c) 10:46 (d) 10:36
- 12.What is the smaller angle between the hour hand and the minute hand at 9:05? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 144 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 17.A clock shows 1:38. What time will it show 101 minutes later? (a) 4:19 (b) 3:09 (c) 3:19 (d) 3:29
- 18.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
- 19.A clock shows 6:12. What time will it show 28 minutes later? (a) 6:40 (b) 6:30 (c) 6:50 (d) 7:40
- 20.How many degrees does the hour hand of a clock turn in 159 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 25.A clock shows 11:26. What time will it show 53 minutes later? (a) 12:29 (b) 1:19 (c) 12:19 (d) 12:09
- 26.A clock shows 10:41. What time will it show 37 minutes later? (a) 11:28 (b) 12:18 (c) 11:08 (d) 11:18
- 27.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:39? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 30.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 31.A clock shows 3:45. What time will it show 41 minutes later? (a) 4:26 (b) 5:26 (c) 4:16 (d) 4:36
- 32.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 33.A clock shows 11:50. What time will it show 55 minutes later? (a) 12:45 (b) 1:45 (c) 12:55 (d) 12:35
- 34.A clock shows 2:15. What time will it show 120 minutes later? (a) 4:15 (b) 5:15 (c) 4:25 (d) 4:05
- 35.A clock shows 5:16. What time will it show 130 minutes later? (a) 8:26 (b) 7:26 (c) 7:36 (d) 7:16
- 36.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 38.A clock shows 1:46. What time will it show 94 minutes later? (a) 3:30 (b) 4:20 (c) 3:20 (d) 3:10
- 39.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
Answer key
- 4:37
- 43.5
- 69
- 13.5
- 177
- 84.5
- 47.5
- 8:30
- 3:29
- 131
- 10:36
- 117.5
- 72
- 53
- 6
- 82
- 3:19
- 90.5
- 6:40
- 79.5
- 174
- 17
- 42
- 342
- 12:19
- 11:18
- 101.5
- 154.5
- 67
- 44
- 4:26
- 71
- 12:45
- 4:15
- 7:26
- 177.5
- 178
- 3:20
- 48
- 152
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