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 41 minutes? =
- 2.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 3.A clock shows 4:01. What time will it show 145 minutes later? (a) 7:26 (b) 6:26 (c) 6:36 (d) 6:16
- 4.How many degrees does the hour hand of a clock turn in 11 minutes? =
- 5.A clock shows 11:17. What time will it show 141 minutes later? (a) 1:28 (b) 1:48 (c) 2:38 (d) 1:38
- 6.What is the smaller angle between the hour hand and the minute hand at 6:58? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 8.A clock shows 11:16. What time will it show 148 minutes later? (a) 1:54 (b) 1:44 (c) 2:44 (d) 1:34
- 9.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 11.A clock shows 1:55. What time will it show 75 minutes later? (a) 4:10 (b) 3:00 (c) 3:20 (d) 3:10
- 12.A clock shows 11:06. What time will it show 127 minutes later? (a) 1:03 (b) 2:13 (c) 1:23 (d) 1:13
- 13.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
- 14.A clock shows 3:24. What time will it show 166 minutes later? (a) 6:20 (b) 6:00 (c) 7:10 (d) 6:10
- 15.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 18.A clock shows 10:14. What time will it show 27 minutes later? (a) 10:41 (b) 10:31 (c) 10:51 (d) 11:41
- 19.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 23.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 24.A clock shows 3:48. What time will it show 75 minutes later? (a) 4:53 (b) 5:03 (c) 5:13 (d) 6:03
- 25.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
- 26.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 29.A clock shows 3:28. What time will it show 28 minutes later? (a) 4:06 (b) 3:56 (c) 3:46 (d) 4:56
- 30.How many degrees does the hour hand of a clock turn in 168 minutes? =
- 31.A clock shows 5:01. What time will it show 35 minutes later? (a) 5:46 (b) 5:26 (c) 6:36 (d) 5:36
- 32.How many degrees does the hour hand of a clock turn in 84 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
- 34.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
- 37.How many degrees does the hour hand of a clock turn in 176 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
- 40.A clock shows 6:46. What time will it show 155 minutes later? (a) 9:21 (b) 10:21 (c) 9:11 (d) 9:31
Answer key
- 246
- 282
- 6:26
- 5.5
- 1:38
- 139
- 234
- 1:44
- 124
- 330
- 3:10
- 1:13
- 4
- 6:10
- 84.5
- 83.5
- 120
- 10:41
- 39.5
- 77.5
- 48
- 11
- 300
- 5:03
- 131.5
- 336
- 158
- 23
- 3:56
- 84
- 5:36
- 42
- 50
- 12
- 66
- 82.5
- 88
- 104
- 128.5
- 9:21
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