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 4:28. What time will it show 17 minutes later? (a) 5:45 (b) 4:35 (c) 4:45 (d) 4:55
- 2.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 3.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 4.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 5.A clock shows 9:25. What time will it show 43 minutes later? (a) 10:18 (b) 11:08 (c) 9:58 (d) 10:08
- 6.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
- 9.How many degrees does the hour hand of a clock turn in 86 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
- 11.A clock shows 2:08. What time will it show 48 minutes later? (a) 3:56 (b) 2:56 (c) 2:46 (d) 3:06
- 12.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 13.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 14.A clock shows 12:59. What time will it show 92 minutes later? (a) 2:41 (b) 2:31 (c) 3:31 (d) 2:21
- 15.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
- 16.How many degrees does the minute hand of a clock turn in 28 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
- 18.A clock shows 5:09. What time will it show 22 minutes later? (a) 6:31 (b) 5:21 (c) 5:41 (d) 5:31
- 19.A clock shows 1:53. What time will it show 86 minutes later? (a) 4:19 (b) 3:29 (c) 3:19 (d) 3:09
- 20.A clock shows 2:11. What time will it show 58 minutes later? (a) 2:59 (b) 3:09 (c) 4:09 (d) 3:19
- 21.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
- 22.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 23.A clock shows 2:06. What time will it show 114 minutes later? (a) 5:00 (b) 4:10 (c) 3:50 (d) 4:00
- 24.What is the smaller angle between the hour hand and the minute hand at 8:14? (in degrees) =
- 25.A clock shows 9:11. What time will it show 11 minutes later? (a) 9:32 (b) 9:22 (c) 10:22 (d) 9:12
- 26.A clock shows 12:26. What time will it show 168 minutes later? (a) 3:14 (b) 4:14 (c) 3:24 (d) 3:04
- 27.A clock shows 3:00. What time will it show 168 minutes later? (a) 6:48 (b) 5:38 (c) 5:58 (d) 5:48
- 28.A clock shows 5:20. What time will it show 61 minutes later? (a) 7:21 (b) 6:11 (c) 6:21 (d) 6:31
- 29.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
- 30.A clock shows 2:08. What time will it show 25 minutes later? (a) 3:33 (b) 2:23 (c) 2:43 (d) 2:33
- 31.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 32.How many degrees does the minute hand of a clock turn in 54 minutes? =
- 33.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
- 34.A clock shows 8:41. What time will it show 24 minutes later? (a) 8:55 (b) 9:15 (c) 10:05 (d) 9:05
- 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
- 36.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 37.A clock shows 3:00. What time will it show 37 minutes later? (a) 4:37 (b) 3:37 (c) 3:27 (d) 3:47
- 38.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
- 40.A clock shows 6:23. What time will it show 160 minutes later? (a) 8:53 (b) 9:03 (c) 9:13 (d) 10:03
Answer key
- 4:45
- 32.5
- 60.5
- 210
- 10:08
- 63
- 138
- 8
- 43
- 63.5
- 2:56
- 102
- 162
- 2:31
- 177.5
- 168
- 74
- 5:31
- 3:19
- 3:09
- 52
- 167
- 4:00
- 163
- 9:22
- 3:14
- 5:48
- 6:21
- 26
- 2:33
- 240
- 324
- 1
- 9:05
- 78
- 44.5
- 3:37
- 168
- 86.5
- 9:03
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