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.A clock shows 5:03. What time will it show 132 minutes later? (a) 7:15 (b) 8:15 (c) 7:05 (d) 7:25
- 2.What is the smaller angle between the hour hand and the minute hand at 9:36? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 19 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
- 5.A clock shows 1:26. What time will it show 119 minutes later? (a) 3:35 (b) 4:25 (c) 3:25 (d) 3:15
- 6.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 8.A clock shows 12:38. What time will it show 60 minutes later? (a) 1:28 (b) 2:38 (c) 1:38 (d) 1:48
- 9.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
- 10.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
- 14.A clock shows 7:57. What time will it show 29 minutes later? (a) 8:16 (b) 8:26 (c) 9:26 (d) 8:36
- 15.How many degrees does the hour hand of a clock turn in 179 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
- 19.A clock shows 6:49. What time will it show 156 minutes later? (a) 10:25 (b) 9:25 (c) 9:15 (d) 9:35
- 20.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 24.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
- 28.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 29.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 30.How many degrees does the hour hand of a clock turn in 44 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 57 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 165 minutes? =
- 33.How many degrees does the hour hand of a clock turn in 25 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 36.A clock shows 1:08. What time will it show 101 minutes later? (a) 2:59 (b) 2:39 (c) 2:49 (d) 3:49
- 37.A clock shows 3:28. What time will it show 152 minutes later? (a) 7:00 (b) 6:10 (c) 5:50 (d) 6:00
- 38.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 39.How many degrees does the hour hand of a clock turn in 31 minutes? =
- 40.How many degrees does the hour hand of a clock turn in 17 minutes? =
Answer key
- 7:15
- 72
- 9.5
- 176
- 3:25
- 129
- 192
- 1:38
- 23.5
- 178
- 170
- 152
- 86.5
- 8:26
- 89.5
- 318
- 8.5
- 35.5
- 9:25
- 97.5
- 330
- 41.5
- 44.5
- 150
- 85.5
- 42
- 33
- 66.5
- 23.5
- 22
- 342
- 82.5
- 12.5
- 52.5
- 354
- 2:49
- 6:00
- 55.5
- 15.5
- 8.5
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