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 8:54. What time will it show 75 minutes later? (a) 11:09 (b) 9:59 (c) 10:09 (d) 10:19
- 2.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 3.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 4.A clock shows 4:36. What time will it show 50 minutes later? (a) 5:26 (b) 5:16 (c) 6:26 (d) 5:36
- 5.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
- 6.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 7.How many degrees does the hour hand of a clock turn in 81 minutes? =
- 8.A clock shows 5:37. What time will it show 12 minutes later? (a) 6:49 (b) 5:59 (c) 5:39 (d) 5:49
- 9.How many degrees does the hour hand of a clock turn in 166 minutes? =
- 10.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 11.A clock shows 3:05. What time will it show 77 minutes later? (a) 5:22 (b) 4:12 (c) 4:32 (d) 4:22
- 12.A clock shows 10:08. What time will it show 114 minutes later? (a) 11:52 (b) 1:02 (c) 12:12 (d) 12:02
- 13.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 14.How many degrees does the hour hand of a clock turn in 37 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
- 17.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 18.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
- 20.A clock shows 3:51. What time will it show 139 minutes later? (a) 7:10 (b) 6:10 (c) 6:20 (d) 6:00
- 21.A clock shows 1:20. What time will it show 43 minutes later? (a) 1:53 (b) 2:13 (c) 3:03 (d) 2:03
- 22.How many degrees does the hour hand of a clock turn in 90 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
- 24.A clock shows 11:03. What time will it show 67 minutes later? (a) 12:20 (b) 12:10 (c) 12:00 (d) 1:10
- 25.How many degrees does the hour hand of a clock turn in 119 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 10:52? (in degrees) =
- 29.A clock shows 9:40. What time will it show 99 minutes later? (a) 11:29 (b) 11:19 (c) 11:09 (d) 12:19
- 30.A clock shows 10:40. What time will it show 140 minutes later? (a) 2:00 (b) 1:00 (c) 12:50 (d) 1:10
- 31.What is the smaller angle between the hour hand and the minute hand at 12:19? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 126 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 34.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 35.A clock shows 9:12. What time will it show 169 minutes later? (a) 12:01 (b) 12:11 (c) 11:51 (d) 1:01
- 36.A clock shows 4:01. What time will it show 168 minutes later? (a) 6:59 (b) 7:49 (c) 6:49 (d) 6:39
- 37.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
- 38.A clock shows 6:09. What time will it show 36 minutes later? (a) 6:45 (b) 6:55 (c) 6:35 (d) 7:45
- 39.A clock shows 2:59. What time will it show 157 minutes later? (a) 6:36 (b) 5:36 (c) 5:46 (d) 5:26
- 40.How many degrees does the minute hand of a clock turn in 10 minutes? =
Answer key
- 10:09
- 354
- 162
- 5:26
- 54
- 306
- 40.5
- 5:49
- 83
- 288
- 4:22
- 12:02
- 282
- 18.5
- 64.5
- 9
- 324
- 120
- 3.5
- 6:10
- 2:03
- 45
- 85
- 12:10
- 59.5
- 24.5
- 84.5
- 14
- 11:19
- 1:00
- 104.5
- 63
- 103
- 150
- 12:01
- 6:49
- 1.5
- 6:45
- 5:36
- 60
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