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 4:03? (in degrees) =
- 2.A clock shows 4:10. What time will it show 98 minutes later? (a) 5:58 (b) 6:48 (c) 5:38 (d) 5:48
- 3.What is the smaller angle between the hour hand and the minute hand at 1:57? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 11.A clock shows 10:43. What time will it show 44 minutes later? (a) 11:37 (b) 12:27 (c) 11:17 (d) 11:27
- 12.How many degrees does the hour hand of a clock turn in 87 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:49? (in degrees) =
- 18.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 19.A clock shows 2:23. What time will it show 142 minutes later? (a) 5:45 (b) 4:55 (c) 4:45 (d) 4:35
- 20.How many degrees does the hour hand of a clock turn in 180 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
- 22.A clock shows 5:06. What time will it show 127 minutes later? (a) 7:23 (b) 7:13 (c) 7:03 (d) 8:13
- 23.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 24.A clock shows 9:25. What time will it show 124 minutes later? (a) 12:29 (b) 11:19 (c) 11:39 (d) 11:29
- 25.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 161 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
- 28.A clock shows 4:40. What time will it show 169 minutes later? (a) 7:39 (b) 7:29 (c) 7:19 (d) 8:29
- 29.How many degrees does the hour hand of a clock turn in 33 minutes? =
- 30.A clock shows 10:22. What time will it show 140 minutes later? (a) 12:42 (b) 12:32 (c) 12:52 (d) 1:42
- 31.A clock shows 4:08. What time will it show 135 minutes later? (a) 6:23 (b) 6:13 (c) 6:33 (d) 7:23
- 32.A clock shows 6:02. What time will it show 57 minutes later? (a) 7:59 (b) 6:49 (c) 7:09 (d) 6:59
- 33.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
- 35.A clock shows 11:40. What time will it show 117 minutes later? (a) 1:37 (b) 1:27 (c) 1:47 (d) 2:37
- 36.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 37.How many degrees does the hour hand of a clock turn in 132 minutes? =
- 38.A clock shows 2:40. What time will it show 72 minutes later? (a) 3:52 (b) 4:02 (c) 3:42 (d) 4:52
- 39.A clock shows 5:25. What time will it show 110 minutes later? (a) 7:05 (b) 7:25 (c) 8:15 (d) 7:15
- 40.How many degrees does the hour hand of a clock turn in 21 minutes? =
Answer key
- 103.5
- 5:48
- 76.5
- 318
- 78
- 106
- 65
- 136
- 252
- 178
- 11:27
- 43.5
- 34
- 40.5
- 46
- 19
- 179.5
- 258
- 4:45
- 90
- 69
- 7:13
- 102
- 11:29
- 112.5
- 80.5
- 42.5
- 7:29
- 16.5
- 12:42
- 6:23
- 6:59
- 96
- 57.5
- 1:37
- 120
- 66
- 3:52
- 7:15
- 10.5
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