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 8:12? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
- 3.A clock shows 6:12. What time will it show 54 minutes later? (a) 8:06 (b) 7:06 (c) 7:16 (d) 6:56
- 4.What is the smaller angle between the hour hand and the minute hand at 6:54? (in degrees) =
- 5.A clock shows 12:27. What time will it show 81 minutes later? (a) 2:48 (b) 1:48 (c) 1:58 (d) 1:38
- 6.How many degrees does the hour hand of a clock turn in 108 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 9.A clock shows 4:44. What time will it show 154 minutes later? (a) 7:28 (b) 7:18 (c) 8:18 (d) 7:08
- 10.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 12.A clock shows 11:03. What time will it show 155 minutes later? (a) 2:38 (b) 1:28 (c) 1:38 (d) 1:48
- 13.A clock shows 2:03. What time will it show 162 minutes later? (a) 4:55 (b) 4:45 (c) 4:35 (d) 5:45
- 14.How many degrees does the hour hand of a clock turn in 54 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 66 minutes? =
- 19.A clock shows 3:22. What time will it show 95 minutes later? (a) 5:57 (b) 4:57 (c) 5:07 (d) 4:47
- 20.What is the smaller angle between the hour hand and the minute hand at 9:54? (in degrees) =
- 21.A clock shows 7:43. What time will it show 94 minutes later? (a) 10:17 (b) 9:07 (c) 9:17 (d) 9:27
- 22.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 23.A clock shows 9:23. What time will it show 96 minutes later? (a) 11:09 (b) 10:49 (c) 11:59 (d) 10:59
- 24.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 25.A clock shows 4:45. What time will it show 131 minutes later? (a) 7:56 (b) 6:46 (c) 6:56 (d) 7:06
- 26.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 28.A clock shows 5:19. What time will it show 65 minutes later? (a) 6:24 (b) 6:14 (c) 7:24 (d) 6:34
- 29.A clock shows 3:28. What time will it show 32 minutes later? (a) 4:00 (b) 3:50 (c) 5:00 (d) 4:10
- 30.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 33.A clock shows 11:11. What time will it show 65 minutes later? (a) 12:06 (b) 12:26 (c) 1:16 (d) 12:16
- 34.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 36.A clock shows 4:43. What time will it show 120 minutes later? (a) 7:43 (b) 6:53 (c) 6:33 (d) 6:43
- 37.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 38.A clock shows 10:52. What time will it show 70 minutes later? (a) 11:52 (b) 1:02 (c) 12:02 (d) 12:12
- 39.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
Answer key
- 174
- 98.5
- 7:06
- 117
- 1:48
- 54
- 165.5
- 0.5
- 7:18
- 28
- 324
- 1:38
- 4:45
- 27
- 54
- 134
- 155
- 33
- 4:57
- 27
- 9:17
- 87.5
- 10:59
- 270
- 6:56
- 51
- 84
- 6:24
- 4:00
- 155.5
- 45.5
- 60
- 12:16
- 116.5
- 300
- 6:43
- 172.5
- 12:02
- 148
- 144
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