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 5:41. What time will it show 57 minutes later? (a) 6:48 (b) 6:28 (c) 7:38 (d) 6:38
- 2.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 3.A clock shows 5:42. What time will it show 17 minutes later? (a) 5:59 (b) 5:49 (c) 6:09 (d) 6:59
- 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 58 minutes? =
- 6.A clock shows 11:10. What time will it show 157 minutes later? (a) 1:37 (b) 1:47 (c) 1:57 (d) 2:47
- 7.A clock shows 8:26. What time will it show 61 minutes later? (a) 9:37 (b) 9:17 (c) 9:27 (d) 10:27
- 8.A clock shows 8:17. What time will it show 34 minutes later? (a) 8:51 (b) 9:51 (c) 9:01 (d) 8:41
- 9.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 10.A clock shows 4:11. What time will it show 151 minutes later? (a) 6:32 (b) 6:52 (c) 6:42 (d) 7:42
- 11.How many degrees does the hour hand of a clock turn in 114 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 13.A clock shows 2:31. What time will it show 78 minutes later? (a) 4:49 (b) 3:49 (c) 3:59 (d) 3:39
- 14.A clock shows 9:54. What time will it show 16 minutes later? (a) 11:10 (b) 10:20 (c) 10:00 (d) 10:10
- 15.A clock shows 11:26. What time will it show 120 minutes later? (a) 2:26 (b) 1:16 (c) 1:36 (d) 1:26
- 16.A clock shows 8:55. What time will it show 152 minutes later? (a) 11:37 (b) 11:17 (c) 11:27 (d) 12:27
- 17.How many degrees does the hour hand of a clock turn in 138 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 21.A clock shows 2:31. What time will it show 162 minutes later? (a) 5:23 (b) 5:03 (c) 6:13 (d) 5:13
- 22.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
- 25.A clock shows 8:22. What time will it show 10 minutes later? (a) 8:22 (b) 8:42 (c) 8:32 (d) 9:32
- 26.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 27.A clock shows 2:18. What time will it show 88 minutes later? (a) 4:46 (b) 3:56 (c) 3:46 (d) 3:36
- 28.A clock shows 3:15. What time will it show 117 minutes later? (a) 5:22 (b) 6:12 (c) 5:12 (d) 5:02
- 29.A clock shows 2:04. What time will it show 104 minutes later? (a) 3:58 (b) 3:48 (c) 4:48 (d) 3:38
- 30.What is the smaller angle between the hour hand and the minute hand at 2:07? (in degrees) =
- 31.A clock shows 1:24. What time will it show 128 minutes later? (a) 3:42 (b) 3:32 (c) 4:32 (d) 3:22
- 32.A clock shows 8:44. What time will it show 15 minutes later? (a) 9:59 (b) 9:09 (c) 8:59 (d) 8:49
- 33.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 35.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
- 39.A clock shows 11:22. What time will it show 73 minutes later? (a) 1:35 (b) 12:45 (c) 12:35 (d) 12:25
- 40.How many degrees does the hour hand of a clock turn in 24 minutes? =
Answer key
- 6:38
- 102
- 5:59
- 336
- 29
- 1:47
- 9:27
- 8:51
- 49.5
- 6:42
- 57
- 216
- 3:49
- 10:10
- 1:26
- 11:27
- 69
- 222
- 132
- 16
- 5:13
- 153
- 144
- 70
- 8:32
- 5
- 3:46
- 5:12
- 3:48
- 21.5
- 3:32
- 8:59
- 47.5
- 246
- 114
- 16.5
- 48
- 21
- 12:35
- 12
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