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 6:33. What time will it show 100 minutes later? (a) 9:13 (b) 8:23 (c) 8:03 (d) 8:13
- 2.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 5.A clock shows 11:01. What time will it show 48 minutes later? (a) 11:39 (b) 11:59 (c) 12:49 (d) 11:49
- 6.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 105 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
- 13.A clock shows 3:08. What time will it show 53 minutes later? (a) 3:51 (b) 4:01 (c) 5:01 (d) 4:11
- 14.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 15.A clock shows 1:10. What time will it show 56 minutes later? (a) 2:16 (b) 1:56 (c) 3:06 (d) 2:06
- 16.A clock shows 3:02. What time will it show 84 minutes later? (a) 4:26 (b) 4:16 (c) 5:26 (d) 4:36
- 17.A clock shows 5:36. What time will it show 41 minutes later? (a) 7:17 (b) 6:07 (c) 6:17 (d) 6:27
- 18.A clock shows 12:49. What time will it show 77 minutes later? (a) 1:56 (b) 2:06 (c) 3:06 (d) 2:16
- 19.A clock shows 3:07. What time will it show 49 minutes later? (a) 4:06 (b) 3:56 (c) 3:46 (d) 4:56
- 20.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
- 23.How many degrees does the hour hand of a clock turn in 170 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:21? (in degrees) =
- 28.A clock shows 11:10. What time will it show 34 minutes later? (a) 12:44 (b) 11:54 (c) 11:34 (d) 11:44
- 29.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 30.A clock shows 5:45. What time will it show 10 minutes later? (a) 5:45 (b) 5:55 (c) 6:05 (d) 6:55
- 31.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 32.A clock shows 11:51. What time will it show 77 minutes later? (a) 2:08 (b) 1:18 (c) 12:58 (d) 1:08
- 33.A clock shows 4:05. What time will it show 45 minutes later? (a) 5:50 (b) 4:50 (c) 4:40 (d) 5:00
- 34.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 35.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
- 39.A clock shows 8:19. What time will it show 50 minutes later? (a) 10:09 (b) 9:09 (c) 9:19 (d) 8:59
- 40.A clock shows 12:22. What time will it show 115 minutes later? (a) 2:27 (b) 3:17 (c) 2:17 (d) 2:07
Answer key
- 8:13
- 30
- 91
- 43
- 11:49
- 142.5
- 126
- 164.5
- 5.5
- 52.5
- 173
- 169
- 4:01
- 240
- 2:06
- 4:26
- 6:17
- 2:06
- 3:56
- 270
- 175
- 79
- 85
- 324
- 82.5
- 122
- 4.5
- 11:44
- 39
- 5:55
- 40.5
- 1:08
- 4:50
- 198
- 47.5
- 246
- 147
- 32.5
- 9:09
- 2:17
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