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.How many degrees does the hour hand of a clock turn in 124 minutes? =
- 2.A clock shows 6:30. What time will it show 42 minutes later? (a) 7:22 (b) 7:12 (c) 7:02 (d) 8:12
- 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 64 minutes? =
- 7.A clock shows 11:25. What time will it show 21 minutes later? (a) 12:46 (b) 11:56 (c) 11:36 (d) 11:46
- 8.A clock shows 12:14. What time will it show 85 minutes later? (a) 1:29 (b) 2:39 (c) 1:49 (d) 1:39
- 9.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
- 11.A clock shows 11:13. What time will it show 148 minutes later? (a) 2:41 (b) 1:41 (c) 1:51 (d) 1:31
- 12.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
- 16.A clock shows 1:01. What time will it show 53 minutes later? (a) 2:04 (b) 1:44 (c) 2:54 (d) 1:54
- 17.A clock shows 3:09. What time will it show 64 minutes later? (a) 4:13 (b) 5:13 (c) 4:23 (d) 4:03
- 18.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 25.A clock shows 7:03. What time will it show 66 minutes later? (a) 7:59 (b) 8:19 (c) 8:09 (d) 9:09
- 26.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 27.How many degrees does the hour hand of a clock turn in 118 minutes? =
- 28.A clock shows 4:03. What time will it show 57 minutes later? (a) 6:00 (b) 5:00 (c) 4:50 (d) 5:10
- 29.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
- 30.A clock shows 3:41. What time will it show 28 minutes later? (a) 3:59 (b) 4:19 (c) 5:09 (d) 4:09
- 31.A clock shows 1:50. What time will it show 83 minutes later? (a) 3:13 (b) 4:13 (c) 3:23 (d) 3:03
- 32.A clock shows 3:23. What time will it show 44 minutes later? (a) 4:17 (b) 4:07 (c) 5:07 (d) 3:57
- 33.A clock shows 9:37. What time will it show 168 minutes later? (a) 1:25 (b) 12:25 (c) 12:35 (d) 12:15
- 34.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 50 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 38.A clock shows 7:35. What time will it show 28 minutes later? (a) 8:03 (b) 8:13 (c) 9:03 (d) 7:53
- 39.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 40.A clock shows 7:07. What time will it show 145 minutes later? (a) 9:42 (b) 9:32 (c) 9:22 (d) 10:32
Answer key
- 62
- 7:12
- 198
- 100
- 276
- 32
- 11:46
- 1:39
- 62
- 117.5
- 1:41
- 39
- 306
- 105
- 140
- 1:54
- 4:13
- 60
- 69
- 167.5
- 155.5
- 129
- 37
- 179
- 8:09
- 53.5
- 59
- 5:00
- 162.5
- 4:09
- 3:13
- 4:07
- 12:25
- 138
- 25
- 140.5
- 44.5
- 8:03
- 170
- 9:32
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