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 9:39? (in degrees) =
- 2.A clock shows 3:24. What time will it show 126 minutes later? (a) 5:20 (b) 6:30 (c) 5:40 (d) 5:30
- 3.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 4.A clock shows 7:48. What time will it show 82 minutes later? (a) 10:10 (b) 9:10 (c) 9:20 (d) 9:00
- 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
- 7.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
- 9.A clock shows 2:00. What time will it show 122 minutes later? (a) 4:02 (b) 4:12 (c) 5:02 (d) 3:52
- 10.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 11.A clock shows 6:32. What time will it show 133 minutes later? (a) 8:35 (b) 9:45 (c) 8:45 (d) 8:55
- 12.A clock shows 9:24. What time will it show 147 minutes later? (a) 11:41 (b) 12:51 (c) 11:51 (d) 12:01
- 13.A clock shows 2:08. What time will it show 18 minutes later? (a) 2:26 (b) 2:16 (c) 3:26 (d) 2:36
- 14.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 15.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
- 16.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 140 minutes? =
- 21.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 22.A clock shows 11:19. What time will it show 107 minutes later? (a) 1:06 (b) 2:06 (c) 1:16 (d) 12:56
- 23.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 24.A clock shows 2:47. What time will it show 35 minutes later? (a) 3:32 (b) 4:22 (c) 3:12 (d) 3:22
- 25.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
- 26.A clock shows 3:16. What time will it show 53 minutes later? (a) 5:09 (b) 4:19 (c) 4:09 (d) 3:59
- 27.A clock shows 3:58. What time will it show 91 minutes later? (a) 5:29 (b) 6:29 (c) 5:39 (d) 5:19
- 28.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
- 29.A clock shows 2:25. What time will it show 21 minutes later? (a) 2:46 (b) 3:46 (c) 2:36 (d) 2:56
- 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 6:34? (in degrees) =
- 32.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
- 33.How many degrees does the minute hand of a clock turn in 7 minutes? =
- 34.How many degrees does the hour hand of a clock turn in 74 minutes? =
- 35.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
- 36.A clock shows 9:56. What time will it show 148 minutes later? (a) 12:24 (b) 12:14 (c) 12:34 (d) 1:24
- 37.What is the smaller angle between the hour hand and the minute hand at 9:37? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
- 40.A clock shows 7:45. What time will it show 141 minutes later? (a) 10:06 (b) 10:16 (c) 9:56 (d) 11:06
Answer key
- 55.5
- 5:30
- 270
- 9:10
- 30
- 51.5
- 90
- 178
- 4:02
- 120
- 8:45
- 11:51
- 2:26
- 144
- 33.5
- 157.5
- 34
- 60
- 84.5
- 70
- 180
- 1:06
- 173
- 3:22
- 172
- 4:09
- 5:29
- 147
- 2:46
- 198
- 7
- 31.5
- 42
- 37
- 98
- 12:24
- 66.5
- 93.5
- 32.5
- 10:06
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