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 37 minutes? =
- 2.A clock shows 9:42. What time will it show 88 minutes later? (a) 11:10 (b) 11:20 (c) 11:00 (d) 12:10
- 3.What is the smaller angle between the hour hand and the minute hand at 4:42? (in degrees) =
- 4.A clock shows 6:33. What time will it show 52 minutes later? (a) 8:25 (b) 7:15 (c) 7:35 (d) 7:25
- 5.A clock shows 10:23. What time will it show 73 minutes later? (a) 11:46 (b) 11:26 (c) 11:36 (d) 12:36
- 6.A clock shows 2:17. What time will it show 144 minutes later? (a) 5:41 (b) 4:41 (c) 4:51 (d) 4:31
- 7.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
- 8.A clock shows 8:00. What time will it show 142 minutes later? (a) 10:12 (b) 10:22 (c) 10:32 (d) 11:22
- 9.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
- 12.A clock shows 2:07. What time will it show 158 minutes later? (a) 4:45 (b) 4:35 (c) 5:45 (d) 4:55
- 13.How many degrees does the minute hand of a clock turn in 14 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 9:12? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
- 27.A clock shows 6:03. What time will it show 68 minutes later? (a) 7:01 (b) 8:11 (c) 7:21 (d) 7:11
- 28.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 29.A clock shows 6:17. What time will it show 101 minutes later? (a) 7:48 (b) 8:58 (c) 7:58 (d) 8:08
- 30.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 31.How many degrees does the hour hand of a clock turn in 24 minutes? =
- 32.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
- 35.What is the smaller angle between the hour hand and the minute hand at 11:21? (in degrees) =
- 36.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
- 38.A clock shows 10:43. What time will it show 143 minutes later? (a) 12:56 (b) 1:06 (c) 1:16 (d) 2:06
- 39.A clock shows 8:30. What time will it show 85 minutes later? (a) 10:05 (b) 9:55 (c) 9:45 (d) 10:55
- 40.How many degrees does the hour hand of a clock turn in 50 minutes? =
Answer key
- 222
- 11:10
- 111
- 7:25
- 11:36
- 4:41
- 106
- 10:22
- 240
- 72
- 168.5
- 4:45
- 84
- 156
- 24
- 22.5
- 124
- 76
- 174
- 16.5
- 43
- 168
- 103
- 102
- 300
- 131
- 7:11
- 48
- 7:58
- 163
- 12
- 125
- 166.5
- 60
- 145.5
- 166.5
- 64.5
- 1:06
- 9:55
- 25
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