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 5:32. What time will it show 98 minutes later? (a) 7:20 (b) 8:10 (c) 7:10 (d) 7:00
- 2.How many degrees does the minute hand of a clock turn in 37 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 8:39? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 77 minutes? =
- 8.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 10.A clock shows 12:07. What time will it show 60 minutes later? (a) 1:07 (b) 2:07 (c) 1:17 (d) 12:57
- 11.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
- 12.A clock shows 9:26. What time will it show 54 minutes later? (a) 11:20 (b) 10:10 (c) 10:20 (d) 10:30
- 13.A clock shows 1:48. What time will it show 107 minutes later? (a) 3:35 (b) 3:25 (c) 3:45 (d) 4:35
- 14.A clock shows 6:38. What time will it show 170 minutes later? (a) 9:38 (b) 9:18 (c) 10:28 (d) 9:28
- 15.A clock shows 2:11. What time will it show 91 minutes later? (a) 3:32 (b) 3:42 (c) 3:52 (d) 4:42
- 16.How many degrees does the minute hand of a clock turn in 17 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
- 18.How many degrees does the hour hand of a clock turn in 158 minutes? =
- 19.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 20.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
- 21.How many degrees does the minute hand of a clock turn in 24 minutes? =
- 22.A clock shows 5:29. What time will it show 71 minutes later? (a) 6:30 (b) 7:40 (c) 6:50 (d) 6:40
- 23.A clock shows 1:41. What time will it show 92 minutes later? (a) 3:23 (b) 4:13 (c) 3:03 (d) 3:13
- 24.How many degrees does the minute hand of a clock turn in 50 minutes? =
- 25.A clock shows 1:01. What time will it show 157 minutes later? (a) 3:28 (b) 3:38 (c) 4:38 (d) 3:48
- 26.A clock shows 2:26. What time will it show 104 minutes later? (a) 4:10 (b) 4:00 (c) 5:10 (d) 4:20
- 27.A clock shows 11:34. What time will it show 41 minutes later? (a) 12:05 (b) 12:25 (c) 1:15 (d) 12:15
- 28.How many degrees does the minute hand of a clock turn in 9 minutes? =
- 29.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
- 30.A clock shows 8:14. What time will it show 153 minutes later? (a) 10:57 (b) 10:37 (c) 11:47 (d) 10:47
- 31.A clock shows 6:28. What time will it show 98 minutes later? (a) 9:06 (b) 8:06 (c) 8:16 (d) 7:56
- 32.How many degrees does the hour hand of a clock turn in 40 minutes? =
- 33.A clock shows 10:57. What time will it show 67 minutes later? (a) 11:54 (b) 12:04 (c) 1:04 (d) 12:14
- 34.A clock shows 9:27. What time will it show 44 minutes later? (a) 10:21 (b) 10:11 (c) 11:11 (d) 10:01
- 35.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 37.A clock shows 2:37. What time will it show 116 minutes later? (a) 4:33 (b) 4:43 (c) 5:33 (d) 4:23
- 38.What is the smaller angle between the hour hand and the minute hand at 7:47? (in degrees) =
- 39.How many degrees does the hour hand of a clock turn in 106 minutes? =
- 40.A clock shows 7:20. What time will it show 54 minutes later? (a) 8:14 (b) 8:04 (c) 8:24 (d) 9:14
Answer key
- 7:10
- 222
- 25.5
- 106.5
- 26.5
- 95.5
- 38.5
- 93
- 198
- 1:07
- 147.5
- 10:20
- 3:35
- 9:28
- 3:42
- 102
- 87.5
- 79
- 336
- 126
- 144
- 6:40
- 3:13
- 300
- 3:38
- 4:10
- 12:15
- 54
- 23
- 10:47
- 8:06
- 20
- 12:04
- 10:11
- 48
- 70.5
- 4:33
- 48.5
- 53
- 8:14
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