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 10 minutes? =
- 2.How many degrees does the hour hand of a clock turn in 92 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 129 minutes? =
- 5.A clock shows 6:03. What time will it show 167 minutes later? (a) 8:40 (b) 8:50 (c) 9:00 (d) 9:50
- 6.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
- 7.A clock shows 12:33. What time will it show 120 minutes later? (a) 2:33 (b) 2:43 (c) 3:33 (d) 2:23
- 8.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 9.A clock shows 10:50. What time will it show 52 minutes later? (a) 11:42 (b) 12:42 (c) 11:32 (d) 11:52
- 10.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 5:52? (in degrees) =
- 12.A clock shows 11:03. What time will it show 52 minutes later? (a) 12:05 (b) 11:45 (c) 11:55 (d) 12:55
- 13.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
- 14.A clock shows 8:31. What time will it show 160 minutes later? (a) 11:01 (b) 11:11 (c) 12:11 (d) 11:21
- 15.A clock shows 5:23. What time will it show 89 minutes later? (a) 7:02 (b) 7:52 (c) 6:52 (d) 6:42
- 16.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
- 18.A clock shows 3:11. What time will it show 59 minutes later? (a) 4:20 (b) 5:10 (c) 4:00 (d) 4:10
- 19.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 125 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 22.A clock shows 10:55. What time will it show 42 minutes later? (a) 11:27 (b) 11:37 (c) 11:47 (d) 12:37
- 23.How many degrees does the minute hand of a clock turn in 21 minutes? =
- 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 7:36? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 28.How many degrees does the minute hand of a clock turn in 34 minutes? =
- 29.A clock shows 8:14. What time will it show 55 minutes later? (a) 9:19 (b) 10:09 (c) 8:59 (d) 9:09
- 30.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 32 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
- 39.A clock shows 11:38. What time will it show 48 minutes later? (a) 12:36 (b) 12:16 (c) 1:26 (d) 12:26
- 40.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
Answer key
- 60
- 46
- 72
- 64.5
- 8:50
- 118
- 2:33
- 138
- 11:42
- 180
- 136
- 11:55
- 124
- 11:11
- 6:52
- 30
- 10
- 4:10
- 35
- 62.5
- 288
- 11:37
- 126
- 282
- 12
- 39.5
- 108
- 204
- 9:09
- 38
- 161
- 49.5
- 105
- 73
- 192
- 83
- 164.5
- 119
- 12:26
- 110
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