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 10:33. What time will it show 87 minutes later? (a) 12:10 (b) 11:50 (c) 12:00 (d) 1:00
- 2.A clock shows 5:00. What time will it show 72 minutes later? (a) 6:22 (b) 7:12 (c) 6:12 (d) 6:02
- 3.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 5.A clock shows 2:43. What time will it show 121 minutes later? (a) 4:34 (b) 4:44 (c) 5:44 (d) 4:54
- 6.What is the smaller angle between the hour hand and the minute hand at 7:00? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
- 9.A clock shows 12:04. What time will it show 50 minutes later? (a) 12:54 (b) 12:44 (c) 1:54 (d) 1:04
- 10.A clock shows 11:39. What time will it show 28 minutes later? (a) 1:07 (b) 12:07 (c) 12:17 (d) 11:57
- 11.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
- 14.A clock shows 4:26. What time will it show 69 minutes later? (a) 5:25 (b) 6:35 (c) 5:45 (d) 5:35
- 15.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 5:40? (in degrees) =
- 18.A clock shows 3:00. What time will it show 108 minutes later? (a) 4:48 (b) 4:38 (c) 4:58 (d) 5:48
- 19.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
- 20.A clock shows 5:11. What time will it show 74 minutes later? (a) 6:15 (b) 6:25 (c) 7:25 (d) 6:35
- 21.How many degrees does the hour hand of a clock turn in 47 minutes? =
- 22.How many degrees does the hour hand of a clock turn in 154 minutes? =
- 23.What is the smaller angle between the hour hand and the minute hand at 4:45? (in degrees) =
- 24.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 25.How many degrees does the hour hand of a clock turn in 96 minutes? =
- 26.A clock shows 10:10. What time will it show 77 minutes later? (a) 12:27 (b) 11:37 (c) 11:17 (d) 11:27
- 27.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
- 29.How many degrees does the minute hand of a clock turn in 42 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 107 minutes? =
- 33.A clock shows 10:23. What time will it show 71 minutes later? (a) 11:44 (b) 11:34 (c) 11:24 (d) 12:34
- 34.How many degrees does the hour hand of a clock turn in 156 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 36.A clock shows 3:57. What time will it show 156 minutes later? (a) 6:33 (b) 6:43 (c) 6:23 (d) 7:33
- 37.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 39.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
Answer key
- 12:00
- 6:12
- 21
- 168
- 4:44
- 150
- 175.5
- 137
- 12:54
- 12:07
- 84.5
- 32
- 178
- 5:35
- 66
- 270
- 70
- 4:48
- 137.5
- 6:25
- 23.5
- 77
- 127.5
- 6
- 48
- 11:27
- 78.5
- 110.5
- 252
- 210
- 264
- 53.5
- 11:34
- 78
- 179
- 6:33
- 170
- 228
- 121
- 132
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