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.A clock shows 6:37. What time will it show 42 minutes later? (a) 7:29 (b) 8:19 (c) 7:19 (d) 7:09
- 2.A clock shows 7:37. What time will it show 138 minutes later? (a) 9:45 (b) 10:55 (c) 10:05 (d) 9:55
- 3.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 5.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 6.A clock shows 7:23. What time will it show 87 minutes later? (a) 9:00 (b) 8:40 (c) 8:50 (d) 9:50
- 7.How many degrees does the hour hand of a clock turn in 29 minutes? =
- 8.A clock shows 10:05. What time will it show 23 minutes later? (a) 11:28 (b) 10:38 (c) 10:28 (d) 10:18
- 9.A clock shows 4:08. What time will it show 26 minutes later? (a) 4:44 (b) 5:34 (c) 4:34 (d) 4:24
- 10.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 76 minutes? =
- 13.A clock shows 9:12. What time will it show 140 minutes later? (a) 11:42 (b) 12:32 (c) 11:32 (d) 11:22
- 14.A clock shows 9:01. What time will it show 25 minutes later? (a) 9:26 (b) 10:26 (c) 9:36 (d) 9:16
- 15.How many degrees does the hour hand of a clock turn in 83 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 70 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
- 19.A clock shows 6:20. What time will it show 121 minutes later? (a) 8:31 (b) 8:11 (c) 8:21 (d) 9:21
- 20.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
- 22.A clock shows 8:15. What time will it show 129 minutes later? (a) 10:14 (b) 10:34 (c) 10:24 (d) 11:24
- 23.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
- 24.A clock shows 6:16. What time will it show 119 minutes later? (a) 8:25 (b) 9:15 (c) 8:05 (d) 8:15
- 25.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
- 26.A clock shows 11:01. What time will it show 105 minutes later? (a) 1:46 (b) 12:56 (c) 12:36 (d) 12:46
- 27.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
- 29.A clock shows 12:00. What time will it show 25 minutes later? (a) 1:25 (b) 12:25 (c) 12:15 (d) 12:35
- 30.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 33.How many degrees does the hour hand of a clock turn in 61 minutes? =
- 34.A clock shows 2:23. What time will it show 33 minutes later? (a) 3:06 (b) 2:46 (c) 2:56 (d) 3:56
- 35.A clock shows 7:52. What time will it show 168 minutes later? (a) 10:50 (b) 10:40 (c) 11:40 (d) 10:30
- 36.A clock shows 5:47. What time will it show 18 minutes later? (a) 6:15 (b) 7:05 (c) 6:05 (d) 5:55
- 37.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 38.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
- 40.A clock shows 9:14. What time will it show 65 minutes later? (a) 10:09 (b) 10:29 (c) 10:19 (d) 11:19
Answer key
- 7:19
- 9:55
- 9
- 318
- 186
- 8:50
- 14.5
- 10:28
- 4:34
- 47
- 166
- 38
- 11:32
- 9:26
- 41.5
- 35
- 35
- 82.5
- 8:21
- 23.5
- 16
- 10:24
- 19.5
- 8:15
- 126
- 12:46
- 168
- 67
- 12:25
- 198
- 10.5
- 93
- 30.5
- 2:56
- 10:40
- 6:05
- 282
- 24
- 116.5
- 10:19
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