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 1:27? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 3.A clock shows 12:26. What time will it show 58 minutes later? (a) 1:34 (b) 1:24 (c) 1:14 (d) 2:24
- 4.A clock shows 7:14. What time will it show 37 minutes later? (a) 8:01 (b) 8:51 (c) 7:51 (d) 7:41
- 5.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 7.A clock shows 6:53. What time will it show 89 minutes later? (a) 8:12 (b) 9:22 (c) 8:32 (d) 8:22
- 8.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
- 9.A clock shows 5:53. What time will it show 106 minutes later? (a) 8:39 (b) 7:29 (c) 7:39 (d) 7:49
- 10.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 11.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 13.How many degrees does the hour hand of a clock turn in 24 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 1:33? (in degrees) =
- 15.A clock shows 4:25. What time will it show 21 minutes later? (a) 4:36 (b) 5:46 (c) 4:46 (d) 4:56
- 16.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:16? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 23.A clock shows 6:30. What time will it show 168 minutes later? (a) 9:28 (b) 9:08 (c) 10:18 (d) 9:18
- 24.How many degrees does the hour hand of a clock turn in 149 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 2 minutes? =
- 27.A clock shows 3:19. What time will it show 52 minutes later? (a) 4:01 (b) 5:11 (c) 4:21 (d) 4:11
- 28.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 30.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 32.A clock shows 1:40. What time will it show 148 minutes later? (a) 5:08 (b) 4:18 (c) 3:58 (d) 4:08
- 33.A clock shows 12:18. What time will it show 169 minutes later? (a) 3:07 (b) 3:17 (c) 4:07 (d) 2:57
- 34.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 35.A clock shows 7:19. What time will it show 58 minutes later? (a) 9:17 (b) 8:27 (c) 8:17 (d) 8:07
- 36.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 37.A clock shows 8:16. What time will it show 128 minutes later? (a) 10:14 (b) 11:24 (c) 10:24 (d) 10:34
- 38.A clock shows 1:15. What time will it show 59 minutes later? (a) 2:24 (b) 3:14 (c) 2:04 (d) 2:14
- 39.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 32 minutes? =
Answer key
- 118.5
- 312
- 1:24
- 7:51
- 172.5
- 139.5
- 8:22
- 158
- 7:39
- 23.5
- 282
- 125
- 12
- 151.5
- 4:46
- 264
- 100
- 119
- 116
- 28
- 288
- 120
- 9:18
- 74.5
- 164.5
- 12
- 4:11
- 143.5
- 84
- 47
- 13
- 4:08
- 3:07
- 13.5
- 8:17
- 59
- 10:24
- 2:14
- 141
- 192
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