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 9:11. What time will it show 75 minutes later? (a) 10:26 (b) 10:36 (c) 10:16 (d) 11:26
- 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 4.A clock shows 4:03. What time will it show 13 minutes later? (a) 4:26 (b) 4:06 (c) 5:16 (d) 4:16
- 5.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
- 6.A clock shows 12:10. What time will it show 128 minutes later? (a) 2:08 (b) 3:18 (c) 2:28 (d) 2:18
- 7.How many degrees does the hour hand of a clock turn in 135 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 12.How many degrees does the hour hand of a clock turn in 97 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 20.A clock shows 3:05. What time will it show 159 minutes later? (a) 5:44 (b) 5:34 (c) 5:54 (d) 6:44
- 21.A clock shows 12:01. What time will it show 131 minutes later? (a) 2:02 (b) 2:22 (c) 2:12 (d) 3:12
- 22.A clock shows 11:25. What time will it show 73 minutes later? (a) 12:38 (b) 1:38 (c) 12:48 (d) 12:28
- 23.A clock shows 4:12. What time will it show 146 minutes later? (a) 6:28 (b) 6:48 (c) 6:38 (d) 7:38
- 24.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
- 26.A clock shows 5:37. What time will it show 151 minutes later? (a) 8:08 (b) 8:18 (c) 7:58 (d) 9:08
- 27.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 28.A clock shows 8:40. What time will it show 13 minutes later? (a) 9:53 (b) 8:53 (c) 8:43 (d) 9:03
- 29.A clock shows 9:50. What time will it show 98 minutes later? (a) 11:28 (b) 12:28 (c) 11:18 (d) 11:38
- 30.What is the smaller angle between the hour hand and the minute hand at 4:11? (in degrees) =
- 31.A clock shows 6:08. What time will it show 26 minutes later? (a) 6:34 (b) 7:34 (c) 6:24 (d) 6:44
- 32.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 71 minutes? =
- 36.A clock shows 9:53. What time will it show 153 minutes later? (a) 12:26 (b) 1:26 (c) 12:16 (d) 12:36
- 37.A clock shows 10:19. What time will it show 64 minutes later? (a) 11:33 (b) 11:13 (c) 12:23 (d) 11:23
- 38.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 36 minutes? =
Answer key
- 10:26
- 264
- 47
- 4:16
- 14.5
- 2:18
- 67.5
- 107.5
- 48
- 175.5
- 83.5
- 48.5
- 71
- 124.5
- 53
- 12.5
- 56.5
- 282
- 37.5
- 5:44
- 2:12
- 12:38
- 6:38
- 51
- 92.5
- 8:08
- 31.5
- 8:53
- 11:28
- 59.5
- 6:34
- 152.5
- 125
- 67
- 35.5
- 12:26
- 11:23
- 51.5
- 50.5
- 216
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