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 hour hand of a clock turn in 126 minutes? =
- 2.A clock shows 8:55. What time will it show 65 minutes later? (a) 10:10 (b) 11:00 (c) 9:50 (d) 10:00
- 3.A clock shows 5:49. What time will it show 147 minutes later? (a) 8:06 (b) 8:16 (c) 8:26 (d) 9:16
- 4.A clock shows 8:49. What time will it show 143 minutes later? (a) 12:12 (b) 11:02 (c) 11:22 (d) 11:12
- 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 9.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
- 10.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 11.A clock shows 11:46. What time will it show 152 minutes later? (a) 2:28 (b) 2:18 (c) 2:08 (d) 3:18
- 12.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 14.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
- 20.A clock shows 7:14. What time will it show 60 minutes later? (a) 8:14 (b) 9:14 (c) 8:04 (d) 8:24
- 21.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 16 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 12:30? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
- 25.A clock shows 1:30. What time will it show 76 minutes later? (a) 2:36 (b) 2:46 (c) 2:56 (d) 3:46
- 26.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 28.A clock shows 11:20. What time will it show 146 minutes later? (a) 1:56 (b) 1:46 (c) 1:36 (d) 2:46
- 29.A clock shows 12:28. What time will it show 76 minutes later? (a) 1:34 (b) 2:44 (c) 1:44 (d) 1:54
- 30.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
- 31.A clock shows 11:03. What time will it show 48 minutes later? (a) 11:41 (b) 12:51 (c) 12:01 (d) 11:51
- 32.What is the smaller angle between the hour hand and the minute hand at 11:34? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 10:47? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 29 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
- 37.What is the smaller angle between the hour hand and the minute hand at 10:21? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 40.A clock shows 1:08. What time will it show 150 minutes later? (a) 3:28 (b) 3:38 (c) 3:48 (d) 4:38
Answer key
- 63
- 10:00
- 8:16
- 11:12
- 180
- 186
- 168
- 107
- 101
- 59.5
- 2:18
- 139.5
- 126
- 324
- 45.5
- 109.5
- 22.5
- 93
- 172
- 8:14
- 18
- 96
- 165
- 166
- 2:46
- 169
- 102
- 1:46
- 1:44
- 175
- 11:51
- 143
- 65
- 41.5
- 174
- 145
- 175.5
- 134
- 41.5
- 3:38
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