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 10:11. What time will it show 17 minutes later? (a) 11:28 (b) 10:38 (c) 10:18 (d) 10:28
- 2.A clock shows 11:31. What time will it show 83 minutes later? (a) 1:54 (b) 1:04 (c) 12:54 (d) 12:44
- 3.How many degrees does the hour hand of a clock turn in 115 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 55 minutes? =
- 6.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 7.A clock shows 3:29. What time will it show 41 minutes later? (a) 4:10 (b) 4:00 (c) 4:20 (d) 5:10
- 8.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 9.A clock shows 5:00. What time will it show 14 minutes later? (a) 5:04 (b) 5:14 (c) 6:14 (d) 5:24
- 10.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
- 11.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 12.How many degrees does the minute hand of a clock turn in 47 minutes? =
- 13.A clock shows 1:13. What time will it show 19 minutes later? (a) 2:32 (b) 1:32 (c) 1:42 (d) 1:22
- 14.How many degrees does the hour hand of a clock turn in 55 minutes? =
- 15.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 16.How many degrees does the hour hand of a clock turn in 15 minutes? =
- 17.A clock shows 11:08. What time will it show 134 minutes later? (a) 2:22 (b) 1:12 (c) 1:22 (d) 1:32
- 18.How many degrees does the hour hand of a clock turn in 53 minutes? =
- 19.What is the smaller angle between the hour hand and the minute hand at 4:24? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 137 minutes? =
- 21.A clock shows 12:03. What time will it show 149 minutes later? (a) 2:22 (b) 3:32 (c) 2:32 (d) 2:42
- 22.A clock shows 8:11. What time will it show 110 minutes later? (a) 10:01 (b) 10:11 (c) 11:01 (d) 9:51
- 23.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 25.A clock shows 11:19. What time will it show 34 minutes later? (a) 12:53 (b) 12:03 (c) 11:53 (d) 11:43
- 26.A clock shows 3:11. What time will it show 100 minutes later? (a) 4:51 (b) 5:51 (c) 4:41 (d) 5:01
- 27.A clock shows 10:18. What time will it show 75 minutes later? (a) 11:23 (b) 11:33 (c) 12:33 (d) 11:43
- 28.A clock shows 8:05. What time will it show 39 minutes later? (a) 8:44 (b) 9:44 (c) 8:54 (d) 8:34
- 29.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
- 30.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
- 31.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
- 32.A clock shows 8:18. What time will it show 52 minutes later? (a) 10:10 (b) 9:10 (c) 9:20 (d) 9:00
- 33.How many degrees does the minute hand of a clock turn in 51 minutes? =
- 34.How many degrees does the minute hand of a clock turn in 49 minutes? =
- 35.A clock shows 4:28. What time will it show 14 minutes later? (a) 4:42 (b) 4:52 (c) 5:42 (d) 4:32
- 36.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 37.A clock shows 6:03. What time will it show 99 minutes later? (a) 7:32 (b) 7:52 (c) 7:42 (d) 8:42
- 38.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
- 39.A clock shows 12:01. What time will it show 117 minutes later? (a) 1:58 (b) 1:48 (c) 2:58 (d) 2:08
- 40.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
Answer key
- 10:28
- 12:54
- 57.5
- 171
- 330
- 270
- 4:10
- 54
- 5:14
- 123
- 120
- 282
- 1:32
- 27.5
- 354
- 7.5
- 1:22
- 26.5
- 12
- 68.5
- 2:32
- 10:01
- 22.5
- 23
- 11:53
- 4:51
- 11:33
- 8:44
- 77.5
- 87
- 10.5
- 9:10
- 306
- 294
- 4:42
- 70.5
- 7:42
- 39.5
- 1:58
- 52
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