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.How many degrees does the hour hand of a clock turn in 19 minutes? =
- 2.A clock shows 4:11. What time will it show 55 minutes later? (a) 6:06 (b) 5:16 (c) 5:06 (d) 4:56
- 3.A clock shows 5:18. What time will it show 54 minutes later? (a) 6:02 (b) 7:12 (c) 6:22 (d) 6:12
- 4.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 10:29? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 8:07? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
- 10.A clock shows 11:12. What time will it show 38 minutes later? (a) 11:50 (b) 11:40 (c) 12:50 (d) 12:00
- 11.A clock shows 6:34. What time will it show 111 minutes later? (a) 8:15 (b) 8:35 (c) 9:25 (d) 8:25
- 12.How many degrees does the hour hand of a clock turn in 28 minutes? =
- 13.A clock shows 8:24. What time will it show 12 minutes later? (a) 9:36 (b) 8:26 (c) 8:46 (d) 8:36
- 14.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 15.How many degrees does the hour hand of a clock turn in 148 minutes? =
- 16.A clock shows 6:26. What time will it show 123 minutes later? (a) 8:39 (b) 9:29 (c) 8:29 (d) 8:19
- 17.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
- 21.How many degrees does the hour hand of a clock turn in 78 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 23.A clock shows 4:28. What time will it show 164 minutes later? (a) 7:12 (b) 8:12 (c) 7:02 (d) 7:22
- 24.A clock shows 2:52. What time will it show 158 minutes later? (a) 5:30 (b) 5:40 (c) 6:30 (d) 5:20
- 25.A clock shows 6:20. What time will it show 163 minutes later? (a) 9:13 (b) 10:03 (c) 8:53 (d) 9:03
- 26.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 30.A clock shows 7:33. What time will it show 154 minutes later? (a) 10:17 (b) 9:57 (c) 11:07 (d) 10:07
- 31.A clock shows 9:21. What time will it show 95 minutes later? (a) 11:06 (b) 10:56 (c) 11:56 (d) 10:46
- 32.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
- 34.A clock shows 5:01. What time will it show 89 minutes later? (a) 6:40 (b) 7:30 (c) 6:30 (d) 6:20
- 35.A clock shows 5:12. What time will it show 21 minutes later? (a) 6:33 (b) 5:43 (c) 5:33 (d) 5:23
- 36.A clock shows 3:09. What time will it show 41 minutes later? (a) 3:40 (b) 4:50 (c) 4:00 (d) 3:50
- 37.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 38.A clock shows 3:23. What time will it show 113 minutes later? (a) 5:26 (b) 5:16 (c) 5:06 (d) 6:16
- 39.A clock shows 6:02. What time will it show 10 minutes later? (a) 7:12 (b) 6:02 (c) 6:12 (d) 6:22
- 40.A clock shows 12:32. What time will it show 33 minutes later? (a) 1:15 (b) 12:55 (c) 1:05 (d) 2:05
Answer key
- 9.5
- 5:06
- 6:12
- 80.5
- 140.5
- 56.5
- 70.5
- 158.5
- 160.5
- 11:50
- 8:25
- 14
- 8:36
- 108
- 74
- 8:29
- 64
- 102
- 173
- 80
- 39
- 35
- 7:12
- 5:30
- 9:03
- 60
- 109
- 127
- 92
- 10:07
- 10:56
- 204
- 128.5
- 6:30
- 5:33
- 3:50
- 90
- 5:16
- 6:12
- 1:05
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