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 2:20. What time will it show 30 minutes later? (a) 2:50 (b) 2:40 (c) 3:00 (d) 3:50
- 2.A clock shows 6:08. What time will it show 29 minutes later? (a) 7:37 (b) 6:47 (c) 6:27 (d) 6:37
- 3.A clock shows 8:14. What time will it show 67 minutes later? (a) 9:31 (b) 10:21 (c) 9:21 (d) 9:11
- 4.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 6.A clock shows 4:18. What time will it show 34 minutes later? (a) 5:02 (b) 4:42 (c) 5:52 (d) 4:52
- 7.A clock shows 8:57. What time will it show 170 minutes later? (a) 11:37 (b) 11:57 (c) 12:47 (d) 11:47
- 8.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 9.A clock shows 2:15. What time will it show 144 minutes later? (a) 5:39 (b) 4:39 (c) 4:49 (d) 4:29
- 10.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 48 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 13.A clock shows 2:26. What time will it show 90 minutes later? (a) 4:56 (b) 3:46 (c) 4:06 (d) 3:56
- 14.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
- 15.A clock shows 9:04. What time will it show 28 minutes later? (a) 10:32 (b) 9:22 (c) 9:32 (d) 9:42
- 16.A clock shows 4:29. What time will it show 138 minutes later? (a) 6:37 (b) 6:57 (c) 7:47 (d) 6:47
- 17.What is the smaller angle between the hour hand and the minute hand at 6:01? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:59? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
- 20.A clock shows 11:25. What time will it show 10 minutes later? (a) 11:45 (b) 11:35 (c) 11:25 (d) 12:35
- 21.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 22.A clock shows 9:22. What time will it show 54 minutes later? (a) 10:26 (b) 11:16 (c) 10:16 (d) 10:06
- 23.A clock shows 10:25. What time will it show 16 minutes later? (a) 10:31 (b) 10:41 (c) 11:41 (d) 10:51
- 24.A clock shows 2:59. What time will it show 164 minutes later? (a) 5:53 (b) 5:33 (c) 6:43 (d) 5:43
- 25.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 30.A clock shows 7:32. What time will it show 48 minutes later? (a) 8:20 (b) 8:10 (c) 8:30 (d) 9:20
- 31.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
- 32.A clock shows 6:11. What time will it show 142 minutes later? (a) 8:43 (b) 8:23 (c) 9:33 (d) 8:33
- 33.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
- 37.A clock shows 3:13. What time will it show 107 minutes later? (a) 6:00 (b) 4:50 (c) 5:10 (d) 5:00
- 38.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 145 minutes? =
Answer key
- 2:50
- 6:37
- 9:21
- 81.5
- 246
- 4:52
- 11:47
- 192
- 4:39
- 54
- 24
- 270
- 3:56
- 133
- 9:32
- 6:47
- 174.5
- 114.5
- 146
- 11:35
- 64
- 10:16
- 10:41
- 5:43
- 35.5
- 10
- 96
- 2
- 180
- 8:20
- 121
- 8:33
- 84
- 66.5
- 66.5
- 69
- 5:00
- 147
- 6.5
- 72.5
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