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 41 minutes? =
- 2.A clock shows 10:40. What time will it show 68 minutes later? (a) 11:58 (b) 11:38 (c) 12:48 (d) 11:48
- 3.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 4.A clock shows 1:46. What time will it show 20 minutes later? (a) 1:56 (b) 2:06 (c) 2:16 (d) 3:06
- 5.A clock shows 12:22. What time will it show 143 minutes later? (a) 3:45 (b) 2:35 (c) 2:55 (d) 2:45
- 6.How many degrees does the hour hand of a clock turn in 142 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 8.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 9.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
- 11.How many degrees does the hour hand of a clock turn in 13 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 15.A clock shows 11:34. What time will it show 119 minutes later? (a) 1:23 (b) 1:43 (c) 2:33 (d) 1:33
- 16.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 18.A clock shows 3:36. What time will it show 122 minutes later? (a) 5:48 (b) 5:28 (c) 5:38 (d) 6:38
- 19.How many degrees does the hour hand of a clock turn in 79 minutes? =
- 20.A clock shows 9:15. What time will it show 51 minutes later? (a) 9:56 (b) 10:16 (c) 11:06 (d) 10:06
- 21.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 23.A clock shows 1:42. What time will it show 167 minutes later? (a) 4:19 (b) 4:29 (c) 4:39 (d) 5:29
- 24.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 27.A clock shows 1:11. What time will it show 92 minutes later? (a) 2:33 (b) 2:53 (c) 3:43 (d) 2:43
- 28.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 30.A clock shows 9:02. What time will it show 64 minutes later? (a) 10:06 (b) 11:06 (c) 9:56 (d) 10:16
- 31.A clock shows 2:31. What time will it show 133 minutes later? (a) 4:34 (b) 4:54 (c) 4:44 (d) 5:44
- 32.How many degrees does the hour hand of a clock turn in 95 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 35.A clock shows 1:17. What time will it show 19 minutes later? (a) 1:26 (b) 1:46 (c) 2:36 (d) 1:36
- 36.A clock shows 4:34. What time will it show 27 minutes later? (a) 6:01 (b) 5:11 (c) 4:51 (d) 5:01
- 37.A clock shows 7:42. What time will it show 100 minutes later? (a) 9:32 (b) 10:22 (c) 9:22 (d) 9:12
- 38.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
Answer key
- 246
- 11:48
- 118
- 2:06
- 2:45
- 71
- 131.5
- 96
- 5
- 105
- 6.5
- 150
- 216
- 64.5
- 1:33
- 157.5
- 258
- 5:38
- 39.5
- 10:06
- 276
- 9
- 4:29
- 8.5
- 32
- 282
- 2:43
- 330
- 17
- 10:06
- 4:44
- 47.5
- 32.5
- 49.5
- 1:36
- 5:01
- 9:22
- 132.5
- 124.5
- 66.5
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