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 11:51. What time will it show 164 minutes later? (a) 2:45 (b) 3:35 (c) 2:25 (d) 2:35
- 2.A clock shows 5:16. What time will it show 49 minutes later? (a) 5:55 (b) 7:05 (c) 6:15 (d) 6:05
- 3.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 4.A clock shows 12:19. What time will it show 64 minutes later? (a) 1:23 (b) 1:13 (c) 1:33 (d) 2:23
- 5.A clock shows 6:17. What time will it show 123 minutes later? (a) 8:10 (b) 8:20 (c) 8:30 (d) 9:20
- 6.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
- 7.A clock shows 2:32. What time will it show 130 minutes later? (a) 5:42 (b) 4:52 (c) 4:32 (d) 4:42
- 8.A clock shows 8:03. What time will it show 141 minutes later? (a) 11:24 (b) 10:14 (c) 10:34 (d) 10:24
- 9.A clock shows 8:23. What time will it show 118 minutes later? (a) 10:21 (b) 10:11 (c) 11:21 (d) 10:31
- 10.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 2:49? (in degrees) =
- 12.A clock shows 2:03. What time will it show 14 minutes later? (a) 2:17 (b) 2:07 (c) 2:27 (d) 3:17
- 13.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 16.A clock shows 2:39. What time will it show 142 minutes later? (a) 6:01 (b) 4:51 (c) 5:11 (d) 5:01
- 17.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 18.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 4:38? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 22.A clock shows 1:27. What time will it show 120 minutes later? (a) 4:27 (b) 3:27 (c) 3:17 (d) 3:37
- 23.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 25.A clock shows 2:02. What time will it show 56 minutes later? (a) 2:48 (b) 2:58 (c) 3:58 (d) 3:08
- 26.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
- 28.A clock shows 6:37. What time will it show 31 minutes later? (a) 6:58 (b) 7:18 (c) 8:08 (d) 7:08
- 29.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 30.A clock shows 6:16. What time will it show 89 minutes later? (a) 7:55 (b) 7:45 (c) 8:45 (d) 7:35
- 31.How many degrees does the hour hand of a clock turn in 88 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 8:36? (in degrees) =
- 33.A clock shows 11:01. What time will it show 98 minutes later? (a) 12:29 (b) 1:39 (c) 12:39 (d) 12:49
- 34.What is the smaller angle between the hour hand and the minute hand at 5:07? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 36.A clock shows 5:17. What time will it show 99 minutes later? (a) 7:56 (b) 6:46 (c) 7:06 (d) 6:56
- 37.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 39.A clock shows 2:28. What time will it show 43 minutes later? (a) 3:21 (b) 3:11 (c) 3:01 (d) 4:11
- 40.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
Answer key
- 2:35
- 6:05
- 312
- 1:23
- 8:20
- 28
- 4:42
- 10:24
- 10:21
- 73.5
- 150.5
- 2:17
- 122.5
- 5
- 41.5
- 5:01
- 114
- 246
- 45
- 89
- 24.5
- 3:27
- 252
- 73
- 2:58
- 54.5
- 104.5
- 7:08
- 330
- 7:45
- 44
- 42
- 12:39
- 111.5
- 35.5
- 6:56
- 37.5
- 336
- 3:11
- 25
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