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.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 2.A clock shows 3:18. What time will it show 97 minutes later? (a) 5:05 (b) 4:45 (c) 5:55 (d) 4:55
- 3.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 4.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 5.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 7.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 103 minutes? =
- 9.A clock shows 1:43. What time will it show 55 minutes later? (a) 2:48 (b) 2:28 (c) 2:38 (d) 3:38
- 10.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
- 11.A clock shows 6:07. What time will it show 113 minutes later? (a) 9:00 (b) 8:10 (c) 8:00 (d) 7:50
- 12.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
- 15.How many degrees does the hour hand of a clock turn in 10 minutes? =
- 16.A clock shows 12:02. What time will it show 79 minutes later? (a) 1:31 (b) 1:11 (c) 1:21 (d) 2:21
- 17.A clock shows 3:09. What time will it show 12 minutes later? (a) 3:31 (b) 4:21 (c) 3:11 (d) 3:21
- 18.A clock shows 10:03. What time will it show 140 minutes later? (a) 12:13 (b) 1:23 (c) 12:33 (d) 12:23
- 19.How many degrees does the hour hand of a clock turn in 35 minutes? =
- 20.A clock shows 6:36. What time will it show 73 minutes later? (a) 7:59 (b) 7:49 (c) 7:39 (d) 8:49
- 21.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 22.How many degrees does the minute hand of a clock turn in 22 minutes? =
- 23.A clock shows 6:10. What time will it show 51 minutes later? (a) 7:11 (b) 7:01 (c) 8:01 (d) 6:51
- 24.How many degrees does the hour hand of a clock turn in 26 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 26.A clock shows 4:02. What time will it show 65 minutes later? (a) 5:07 (b) 5:17 (c) 6:07 (d) 4:57
- 27.What is the smaller angle between the hour hand and the minute hand at 8:29? (in degrees) =
- 28.A clock shows 8:37. What time will it show 71 minutes later? (a) 9:48 (b) 9:58 (c) 9:38 (d) 10:48
- 29.How many degrees does the hour hand of a clock turn in 166 minutes? =
- 30.A clock shows 5:38. What time will it show 53 minutes later? (a) 6:31 (b) 6:41 (c) 6:21 (d) 7:31
- 31.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
- 34.A clock shows 3:03. What time will it show 132 minutes later? (a) 5:15 (b) 6:15 (c) 5:05 (d) 5:25
- 35.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
- 38.A clock shows 7:06. What time will it show 148 minutes later? (a) 9:44 (b) 9:24 (c) 10:34 (d) 9:34
- 39.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
- 40.How many degrees does the minute hand of a clock turn in 57 minutes? =
Answer key
- 14
- 4:55
- 114
- 14.5
- 21
- 228
- 67
- 51.5
- 2:38
- 134
- 8:00
- 53
- 105.5
- 173.5
- 5
- 1:21
- 3:21
- 12:23
- 17.5
- 7:49
- 9
- 132
- 7:01
- 13
- 270
- 5:07
- 80.5
- 9:48
- 83
- 6:31
- 30
- 288
- 4
- 5:15
- 348
- 48
- 143.5
- 9:34
- 179.5
- 342
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