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 7:10? (in degrees) =
- 2.How many degrees does the hour hand of a clock turn in 38 minutes? =
- 3.A clock shows 5:10. What time will it show 29 minutes later? (a) 5:29 (b) 5:49 (c) 6:39 (d) 5:39
- 4.A clock shows 7:49. What time will it show 23 minutes later? (a) 8:12 (b) 8:02 (c) 9:12 (d) 8:22
- 5.A clock shows 4:25. What time will it show 143 minutes later? (a) 6:38 (b) 6:48 (c) 6:58 (d) 7:48
- 6.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 9.A clock shows 7:17. What time will it show 29 minutes later? (a) 7:46 (b) 7:56 (c) 8:46 (d) 7:36
- 10.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 12.A clock shows 3:26. What time will it show 163 minutes later? (a) 5:59 (b) 6:09 (c) 7:09 (d) 6:19
- 13.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 16.A clock shows 5:59. What time will it show 92 minutes later? (a) 8:31 (b) 7:31 (c) 7:21 (d) 7:41
- 17.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 18.A clock shows 9:23. What time will it show 94 minutes later? (a) 10:47 (b) 10:57 (c) 11:07 (d) 11:57
- 19.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 21.A clock shows 1:03. What time will it show 95 minutes later? (a) 2:48 (b) 2:38 (c) 3:38 (d) 2:28
- 22.A clock shows 8:49. What time will it show 57 minutes later? (a) 9:36 (b) 9:46 (c) 10:46 (d) 9:56
- 23.A clock shows 4:15. What time will it show 86 minutes later? (a) 5:51 (b) 6:41 (c) 5:31 (d) 5:41
- 24.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:42? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
- 28.A clock shows 10:59. What time will it show 170 minutes later? (a) 1:49 (b) 1:39 (c) 1:59 (d) 2:49
- 29.How many degrees does the hour hand of a clock turn in 73 minutes? =
- 30.A clock shows 5:13. What time will it show 23 minutes later? (a) 5:26 (b) 5:46 (c) 5:36 (d) 6:36
- 31.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 32.A clock shows 3:06. What time will it show 103 minutes later? (a) 4:59 (b) 5:49 (c) 4:39 (d) 4:49
- 33.A clock shows 12:55. What time will it show 124 minutes later? (a) 2:59 (b) 3:59 (c) 2:49 (d) 3:09
- 34.A clock shows 4:06. What time will it show 45 minutes later? (a) 5:51 (b) 4:41 (c) 4:51 (d) 5:01
- 35.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 39.A clock shows 8:15. What time will it show 101 minutes later? (a) 10:06 (b) 10:56 (c) 9:46 (d) 9:56
- 40.A clock shows 7:26. What time will it show 93 minutes later? (a) 8:59 (b) 9:59 (c) 9:09 (d) 8:49
Answer key
- 155
- 19
- 5:39
- 8:12
- 6:48
- 132
- 42
- 102
- 7:46
- 138
- 42
- 6:09
- 68.5
- 168
- 60
- 7:31
- 9
- 10:57
- 114
- 19.5
- 2:38
- 9:46
- 5:41
- 64.5
- 204
- 171
- 138.5
- 1:49
- 36.5
- 5:36
- 4
- 4:49
- 2:59
- 4:51
- 152
- 216
- 120
- 82.5
- 9:56
- 8:59
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