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 minute hand of a clock turn in 3 minutes? =
- 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 3.A clock shows 7:30. What time will it show 33 minutes later? (a) 9:03 (b) 7:53 (c) 8:03 (d) 8:13
- 4.How many degrees does the hour hand of a clock turn in 110 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
- 6.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 7.A clock shows 7:39. What time will it show 160 minutes later? (a) 10:29 (b) 10:09 (c) 10:19 (d) 11:19
- 8.A clock shows 6:15. What time will it show 131 minutes later? (a) 9:26 (b) 8:36 (c) 8:16 (d) 8:26
- 9.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
- 10.A clock shows 11:03. What time will it show 80 minutes later? (a) 12:13 (b) 12:23 (c) 12:33 (d) 1:23
- 11.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
- 12.A clock shows 3:03. What time will it show 69 minutes later? (a) 4:22 (b) 4:02 (c) 5:12 (d) 4:12
- 13.A clock shows 12:36. What time will it show 76 minutes later? (a) 1:42 (b) 2:02 (c) 2:52 (d) 1:52
- 14.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 68 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
- 22.A clock shows 4:22. What time will it show 163 minutes later? (a) 8:05 (b) 7:05 (c) 6:55 (d) 7:15
- 23.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 26.A clock shows 11:27. What time will it show 129 minutes later? (a) 1:36 (b) 1:26 (c) 2:36 (d) 1:46
- 27.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 29.A clock shows 11:00. What time will it show 23 minutes later? (a) 11:23 (b) 11:33 (c) 11:13 (d) 12:23
- 30.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 31.A clock shows 9:26. What time will it show 170 minutes later? (a) 12:16 (b) 12:06 (c) 1:16 (d) 12:26
- 32.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 34.A clock shows 2:47. What time will it show 76 minutes later? (a) 5:03 (b) 3:53 (c) 4:03 (d) 4:13
- 35.A clock shows 4:41. What time will it show 118 minutes later? (a) 6:29 (b) 7:39 (c) 6:39 (d) 6:49
- 36.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
- 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 125 minutes? =
Answer key
- 18
- 157.5
- 8:03
- 55
- 176
- 25.5
- 10:19
- 8:26
- 2
- 12:23
- 161.5
- 4:12
- 1:52
- 169
- 34
- 96
- 49
- 24.5
- 7.5
- 10.5
- 91
- 7:05
- 87.5
- 137
- 60
- 1:36
- 70
- 13
- 11:23
- 31
- 12:16
- 72
- 52
- 4:03
- 6:39
- 21
- 86
- 129.5
- 138
- 62.5
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