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.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
- 2.A clock shows 5:52. What time will it show 130 minutes later? (a) 8:12 (b) 8:02 (c) 9:02 (d) 7:52
- 3.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 10.A clock shows 5:55. What time will it show 148 minutes later? (a) 8:13 (b) 8:23 (c) 8:33 (d) 9:23
- 11.A clock shows 10:36. What time will it show 43 minutes later? (a) 11:19 (b) 11:09 (c) 11:29 (d) 12:19
- 12.A clock shows 8:10. What time will it show 25 minutes later? (a) 8:25 (b) 9:35 (c) 8:35 (d) 8:45
- 13.A clock shows 4:12. What time will it show 14 minutes later? (a) 4:26 (b) 4:16 (c) 4:36 (d) 5:26
- 14.How many degrees does the hour hand of a clock turn in 60 minutes? =
- 15.A clock shows 12:45. What time will it show 136 minutes later? (a) 3:01 (b) 2:51 (c) 3:11 (d) 4:01
- 16.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 17.A clock shows 1:02. What time will it show 143 minutes later? (a) 4:25 (b) 3:25 (c) 3:35 (d) 3:15
- 18.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 20.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 21.A clock shows 10:13. What time will it show 143 minutes later? (a) 12:46 (b) 12:36 (c) 12:26 (d) 1:36
- 22.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
- 26.A clock shows 8:00. What time will it show 39 minutes later? (a) 8:49 (b) 8:39 (c) 9:39 (d) 8:29
- 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 28.A clock shows 5:14. What time will it show 117 minutes later? (a) 8:11 (b) 7:11 (c) 7:21 (d) 7:01
- 29.A clock shows 8:09. What time will it show 11 minutes later? (a) 8:10 (b) 9:20 (c) 8:20 (d) 8:30
- 30.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 36.A clock shows 3:17. What time will it show 140 minutes later? (a) 6:37 (b) 5:47 (c) 5:27 (d) 5:37
- 37.A clock shows 8:05. What time will it show 145 minutes later? (a) 10:20 (b) 10:30 (c) 11:30 (d) 10:40
- 38.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
Answer key
- 146.5
- 8:02
- 152
- 306
- 64
- 26
- 27
- 119
- 79
- 8:23
- 11:19
- 8:35
- 4:26
- 30
- 3:01
- 46
- 3:25
- 121.5
- 61.5
- 210
- 12:36
- 101.5
- 324
- 90
- 131
- 8:39
- 102
- 7:11
- 8:20
- 62.5
- 177.5
- 282
- 101
- 131.5
- 7
- 5:37
- 10:30
- 19.5
- 192
- 121
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