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 7:11. What time will it show 49 minutes later? (a) 9:00 (b) 8:00 (c) 8:10 (d) 7:50
- 2.A clock shows 10:19. What time will it show 14 minutes later? (a) 10:33 (b) 10:23 (c) 10:43 (d) 11:33
- 3.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 43 minutes? =
- 6.How many degrees does the hour hand of a clock turn in 27 minutes? =
- 7.A clock shows 2:13. What time will it show 94 minutes later? (a) 3:57 (b) 3:37 (c) 3:47 (d) 4:47
- 8.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 9.A clock shows 11:12. What time will it show 99 minutes later? (a) 12:41 (b) 1:51 (c) 1:01 (d) 12:51
- 10.A clock shows 12:37. What time will it show 126 minutes later? (a) 3:43 (b) 2:43 (c) 2:53 (d) 2:33
- 11.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 15.A clock shows 6:41. What time will it show 41 minutes later? (a) 7:12 (b) 8:22 (c) 7:22 (d) 7:32
- 16.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
- 19.A clock shows 4:50. What time will it show 57 minutes later? (a) 5:57 (b) 6:47 (c) 5:47 (d) 5:37
- 20.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 24.A clock shows 5:41. What time will it show 39 minutes later? (a) 6:20 (b) 7:20 (c) 6:30 (d) 6:10
- 25.A clock shows 6:35. What time will it show 91 minutes later? (a) 8:06 (b) 8:16 (c) 9:06 (d) 7:56
- 26.What is the smaller angle between the hour hand and the minute hand at 3:12? (in degrees) =
- 27.A clock shows 7:31. What time will it show 67 minutes later? (a) 8:28 (b) 8:38 (c) 9:38 (d) 8:48
- 28.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
- 30.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
- 32.A clock shows 2:03. What time will it show 147 minutes later? (a) 4:20 (b) 5:30 (c) 4:30 (d) 4:40
- 33.What is the smaller angle between the hour hand and the minute hand at 2:01? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 11:32? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
- 37.A clock shows 1:46. What time will it show 83 minutes later? (a) 3:19 (b) 2:59 (c) 4:09 (d) 3:09
- 38.A clock shows 12:50. What time will it show 43 minutes later? (a) 1:23 (b) 2:33 (c) 1:43 (d) 1:33
- 39.A clock shows 3:01. What time will it show 70 minutes later? (a) 4:21 (b) 4:11 (c) 4:01 (d) 5:11
- 40.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
Answer key
- 8:00
- 10:33
- 3.5
- 84
- 21.5
- 13.5
- 3:47
- 276
- 12:51
- 2:43
- 198
- 175
- 129
- 84
- 7:22
- 176
- 45
- 59
- 5:47
- 11
- 15.5
- 354
- 18.5
- 6:20
- 8:06
- 24
- 8:38
- 96
- 128
- 54
- 58.5
- 4:30
- 54.5
- 154
- 31
- 148
- 3:09
- 1:33
- 4:11
- 131
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