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 2:10. What time will it show 150 minutes later? (a) 4:40 (b) 5:40 (c) 4:30 (d) 4:50
- 2.A clock shows 5:41. What time will it show 60 minutes later? (a) 6:31 (b) 6:41 (c) 6:51 (d) 7:41
- 3.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 7.A clock shows 8:52. What time will it show 46 minutes later? (a) 9:28 (b) 9:38 (c) 10:38 (d) 9:48
- 8.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 9.A clock shows 1:18. What time will it show 38 minutes later? (a) 2:06 (b) 2:56 (c) 1:56 (d) 1:46
- 10.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 11.A clock shows 2:56. What time will it show 34 minutes later? (a) 3:40 (b) 4:30 (c) 3:30 (d) 3:20
- 12.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 13.A clock shows 9:22. What time will it show 156 minutes later? (a) 12:58 (b) 12:08 (c) 11:58 (d) 11:48
- 14.A clock shows 12:04. What time will it show 85 minutes later? (a) 1:39 (b) 2:29 (c) 1:19 (d) 1:29
- 15.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
- 16.A clock shows 6:11. What time will it show 170 minutes later? (a) 9:11 (b) 9:01 (c) 10:01 (d) 8:51
- 17.How many degrees does the hour hand of a clock turn in 75 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
- 19.A clock shows 10:48. What time will it show 54 minutes later? (a) 11:42 (b) 12:42 (c) 11:52 (d) 11:32
- 20.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 21.A clock shows 10:14. What time will it show 89 minutes later? (a) 11:43 (b) 11:53 (c) 11:33 (d) 12:43
- 22.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
- 23.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 24.A clock shows 10:34. What time will it show 120 minutes later? (a) 12:44 (b) 1:34 (c) 12:24 (d) 12:34
- 25.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
- 30.A clock shows 5:08. What time will it show 65 minutes later? (a) 6:03 (b) 6:13 (c) 7:13 (d) 6:23
- 31.What is the smaller angle between the hour hand and the minute hand at 11:05? (in degrees) =
- 32.A clock shows 10:17. What time will it show 115 minutes later? (a) 12:02 (b) 12:12 (c) 1:12 (d) 12:22
- 33.How many degrees does the hour hand of a clock turn in 57 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 151 minutes? =
Answer key
- 4:40
- 6:41
- 7.5
- 42
- 288
- 48
- 9:38
- 72
- 1:56
- 264
- 3:30
- 5
- 11:58
- 1:29
- 142
- 9:01
- 37.5
- 79.5
- 11:42
- 246
- 11:43
- 138.5
- 138
- 12:34
- 162
- 73.5
- 96.5
- 120
- 169.5
- 6:13
- 57.5
- 12:12
- 28.5
- 101.5
- 58
- 228
- 336
- 132.5
- 46
- 75.5
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