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.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 2.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
- 3.A clock shows 5:17. What time will it show 37 minutes later? (a) 6:54 (b) 5:44 (c) 6:04 (d) 5:54
- 4.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
- 6.A clock shows 8:11. What time will it show 66 minutes later? (a) 10:17 (b) 9:07 (c) 9:17 (d) 9:27
- 7.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
- 16.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 17.A clock shows 3:41. What time will it show 95 minutes later? (a) 5:16 (b) 6:16 (c) 5:26 (d) 5:06
- 18.How many degrees does the hour hand of a clock turn in 36 minutes? =
- 19.A clock shows 4:26. What time will it show 54 minutes later? (a) 5:20 (b) 5:10 (c) 6:20 (d) 5:30
- 20.A clock shows 5:52. What time will it show 12 minutes later? (a) 7:04 (b) 6:04 (c) 5:54 (d) 6:14
- 21.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
- 24.A clock shows 6:26. What time will it show 148 minutes later? (a) 8:44 (b) 9:54 (c) 8:54 (d) 9:04
- 25.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 27.A clock shows 9:28. What time will it show 154 minutes later? (a) 11:52 (b) 12:12 (c) 1:02 (d) 12:02
- 28.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 29.A clock shows 11:29. What time will it show 136 minutes later? (a) 1:45 (b) 1:35 (c) 2:45 (d) 1:55
- 30.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
- 32.A clock shows 8:27. What time will it show 156 minutes later? (a) 11:13 (b) 11:03 (c) 10:53 (d) 12:03
- 33.How many degrees does the hour hand of a clock turn in 150 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
- 35.A clock shows 11:37. What time will it show 138 minutes later? (a) 1:45 (b) 1:55 (c) 2:55 (d) 2:05
- 36.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:59? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 39 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 1:09? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
Answer key
- 35
- 139.5
- 5:54
- 1
- 164
- 9:17
- 67
- 51.5
- 318
- 55.5
- 23
- 168.5
- 171.5
- 48
- 178.5
- 68.5
- 5:16
- 18
- 5:20
- 6:04
- 54
- 132
- 157.5
- 8:54
- 354
- 31.5
- 12:02
- 11
- 1:45
- 107.5
- 170.5
- 11:03
- 75
- 104
- 1:55
- 27.5
- 24.5
- 19.5
- 19.5
- 168.5
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