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 47 minutes? =
- 2.A clock shows 12:25. What time will it show 42 minutes later? (a) 1:07 (b) 1:17 (c) 12:57 (d) 2:07
- 3.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 167 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 23 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 8.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 9.A clock shows 10:24. What time will it show 25 minutes later? (a) 10:49 (b) 10:59 (c) 10:39 (d) 11:49
- 10.How many degrees does the hour hand of a clock turn in 134 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:33? (in degrees) =
- 14.How many degrees does the hour hand of a clock turn in 32 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
- 17.How many degrees does the hour hand of a clock turn in 99 minutes? =
- 18.A clock shows 11:10. What time will it show 26 minutes later? (a) 11:36 (b) 11:46 (c) 11:26 (d) 12:36
- 19.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 80 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 10:04? (in degrees) =
- 22.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 43 minutes? =
- 24.A clock shows 11:52. What time will it show 93 minutes later? (a) 1:25 (b) 1:35 (c) 2:25 (d) 1:15
- 25.How many degrees does the hour hand of a clock turn in 123 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
- 30.A clock shows 5:33. What time will it show 121 minutes later? (a) 8:34 (b) 7:44 (c) 7:34 (d) 7:24
- 31.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 32.A clock shows 12:01. What time will it show 106 minutes later? (a) 2:47 (b) 1:57 (c) 1:37 (d) 1:47
- 33.What is the smaller angle between the hour hand and the minute hand at 1:49? (in degrees) =
- 34.A clock shows 6:28. What time will it show 37 minutes later? (a) 6:55 (b) 7:15 (c) 7:05 (d) 8:05
- 35.A clock shows 8:53. What time will it show 89 minutes later? (a) 10:32 (b) 11:22 (c) 10:12 (d) 10:22
- 36.How many degrees does the hour hand of a clock turn in 147 minutes? =
- 37.A clock shows 3:34. What time will it show 18 minutes later? (a) 3:42 (b) 4:52 (c) 4:02 (d) 3:52
- 38.A clock shows 4:07. What time will it show 125 minutes later? (a) 6:22 (b) 7:12 (c) 6:12 (d) 6:02
- 39.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 40.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
Answer key
- 282
- 1:07
- 60
- 216
- 83.5
- 138
- 246
- 11
- 10:49
- 67
- 10.5
- 52
- 121.5
- 16
- 44
- 109
- 49.5
- 11:36
- 228
- 40
- 82
- 78
- 258
- 1:25
- 61.5
- 164.5
- 156
- 40.5
- 97
- 7:34
- 210
- 1:47
- 120.5
- 7:05
- 10:22
- 73.5
- 3:52
- 6:12
- 252
- 37
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