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 11:01. What time will it show 36 minutes later? (a) 11:37 (b) 11:27 (c) 11:47 (d) 12:37
- 2.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
- 4.How many degrees does the hour hand of a clock turn in 153 minutes? =
- 5.A clock shows 12:21. What time will it show 66 minutes later? (a) 1:37 (b) 1:17 (c) 1:27 (d) 2:27
- 6.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 6:42? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
- 14.A clock shows 10:24. What time will it show 38 minutes later? (a) 10:52 (b) 11:12 (c) 11:02 (d) 12:02
- 15.How many degrees does the hour hand of a clock turn in 85 minutes? =
- 16.A clock shows 9:45. What time will it show 151 minutes later? (a) 12:16 (b) 12:06 (c) 1:16 (d) 12:26
- 17.A clock shows 1:40. What time will it show 36 minutes later? (a) 3:16 (b) 2:16 (c) 2:26 (d) 2:06
- 18.A clock shows 9:58. What time will it show 77 minutes later? (a) 11:05 (b) 11:15 (c) 11:25 (d) 12:15
- 19.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 22.A clock shows 11:40. What time will it show 165 minutes later? (a) 2:35 (b) 3:25 (c) 2:15 (d) 2:25
- 23.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 25.A clock shows 3:10. What time will it show 13 minutes later? (a) 3:23 (b) 3:13 (c) 4:23 (d) 3:33
- 26.A clock shows 3:26. What time will it show 46 minutes later? (a) 4:02 (b) 4:12 (c) 5:12 (d) 4:22
- 27.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 28.A clock shows 4:51. What time will it show 121 minutes later? (a) 7:52 (b) 7:02 (c) 6:42 (d) 6:52
- 29.A clock shows 5:11. What time will it show 162 minutes later? (a) 8:53 (b) 7:53 (c) 8:03 (d) 7:43
- 30.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 14 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 148 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
- 36.A clock shows 2:34. What time will it show 136 minutes later? (a) 5:00 (b) 4:40 (c) 5:50 (d) 4:50
- 37.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
Answer key
- 11:37
- 74
- 65.5
- 76.5
- 1:27
- 342
- 51
- 348
- 13
- 55
- 105.5
- 132
- 85.5
- 11:02
- 42.5
- 12:16
- 2:16
- 11:15
- 100
- 77.5
- 136.5
- 2:25
- 44.5
- 0.5
- 3:23
- 4:12
- 336
- 6:52
- 7:53
- 91
- 16
- 10.5
- 7
- 74
- 127
- 4:50
- 152.5
- 222
- 282
- 172.5
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