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 8:22. What time will it show 131 minutes later? (a) 10:23 (b) 11:33 (c) 10:33 (d) 10:43
- 2.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
- 5.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 8.A clock shows 1:14. What time will it show 37 minutes later? (a) 2:01 (b) 1:41 (c) 1:51 (d) 2:51
- 9.A clock shows 1:18. What time will it show 74 minutes later? (a) 3:32 (b) 2:22 (c) 2:42 (d) 2:32
- 10.A clock shows 9:28. What time will it show 92 minutes later? (a) 12:00 (b) 11:00 (c) 10:50 (d) 11:10
- 11.What is the smaller angle between the hour hand and the minute hand at 3:51? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
- 16.A clock shows 9:02. What time will it show 41 minutes later? (a) 9:33 (b) 10:43 (c) 9:43 (d) 9:53
- 17.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 19.A clock shows 7:53. What time will it show 95 minutes later? (a) 9:18 (b) 10:28 (c) 9:28 (d) 9:38
- 20.A clock shows 3:38. What time will it show 58 minutes later? (a) 5:36 (b) 4:46 (c) 4:36 (d) 4:26
- 21.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
- 23.A clock shows 11:25. What time will it show 13 minutes later? (a) 11:38 (b) 11:48 (c) 11:28 (d) 12:38
- 24.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
- 26.A clock shows 12:55. What time will it show 60 minutes later? (a) 2:55 (b) 1:45 (c) 2:05 (d) 1:55
- 27.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 28.A clock shows 11:14. What time will it show 127 minutes later? (a) 1:31 (b) 1:21 (c) 1:11 (d) 2:21
- 29.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
- 30.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 67 minutes? =
- 33.A clock shows 2:42. What time will it show 55 minutes later? (a) 4:37 (b) 3:27 (c) 3:37 (d) 3:47
- 34.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 4:43? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 6:27? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
Answer key
- 10:33
- 72
- 198
- 38
- 17.5
- 150
- 2
- 1:51
- 2:32
- 11:00
- 169.5
- 47
- 68
- 70.5
- 108
- 9:43
- 16
- 164.5
- 9:28
- 4:36
- 174
- 45
- 11:38
- 76
- 146.5
- 1:55
- 25.5
- 1:21
- 42.5
- 89.5
- 87.5
- 33.5
- 3:37
- 276
- 175
- 69
- 74
- 116.5
- 31.5
- 10
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