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 9:54. What time will it show 70 minutes later? (a) 11:04 (b) 11:14 (c) 12:04 (d) 10:54
- 2.A clock shows 8:00. What time will it show 60 minutes later? (a) 9:00 (b) 10:00 (c) 8:50 (d) 9:10
- 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
- 5.How many degrees does the minute hand of a clock turn in 39 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 7.How many degrees does the hour hand of a clock turn in 113 minutes? =
- 8.A clock shows 2:26. What time will it show 18 minutes later? (a) 2:54 (b) 2:44 (c) 2:34 (d) 3:44
- 9.A clock shows 3:37. What time will it show 151 minutes later? (a) 6:08 (b) 5:58 (c) 7:08 (d) 6:18
- 10.How many degrees does the hour hand of a clock turn in 50 minutes? =
- 11.How many degrees does the hour hand of a clock turn in 141 minutes? =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
- 13.A clock shows 12:13. What time will it show 56 minutes later? (a) 12:59 (b) 1:09 (c) 1:19 (d) 2:09
- 14.A clock shows 7:46. What time will it show 147 minutes later? (a) 11:13 (b) 10:03 (c) 10:13 (d) 10:23
- 15.A clock shows 10:33. What time will it show 109 minutes later? (a) 12:22 (b) 12:32 (c) 1:22 (d) 12:12
- 16.A clock shows 3:25. What time will it show 103 minutes later? (a) 6:08 (b) 5:08 (c) 4:58 (d) 5:18
- 17.A clock shows 11:17. What time will it show 81 minutes later? (a) 1:38 (b) 12:48 (c) 12:28 (d) 12:38
- 18.How many degrees does the minute hand of a clock turn in 20 minutes? =
- 19.How many degrees does the hour hand of a clock turn in 128 minutes? =
- 20.How many degrees does the hour hand of a clock turn in 166 minutes? =
- 21.What is the smaller angle between the hour hand and the minute hand at 11:58? (in degrees) =
- 22.A clock shows 7:15. What time will it show 35 minutes later? (a) 8:50 (b) 7:50 (c) 7:40 (d) 8:00
- 23.How many degrees does the hour hand of a clock turn in 46 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
- 27.What is the smaller angle between the hour hand and the minute hand at 2:15? (in degrees) =
- 28.How many degrees does the minute hand of a clock turn in 59 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 41 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 31.A clock shows 12:34. What time will it show 87 minutes later? (a) 2:01 (b) 2:11 (c) 1:51 (d) 3:01
- 32.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
- 33.A clock shows 9:40. What time will it show 124 minutes later? (a) 11:34 (b) 11:54 (c) 11:44 (d) 12:44
- 34.What is the smaller angle between the hour hand and the minute hand at 7:02? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 36.A clock shows 10:17. What time will it show 157 minutes later? (a) 1:04 (b) 12:44 (c) 1:54 (d) 12:54
- 37.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
- 38.A clock shows 9:12. What time will it show 140 minutes later? (a) 11:42 (b) 11:22 (c) 11:32 (d) 12:32
- 39.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 40.A clock shows 8:59. What time will it show 131 minutes later? (a) 12:10 (b) 11:00 (c) 11:10 (d) 11:20
Answer key
- 11:04
- 9:00
- 198
- 162.5
- 234
- 71
- 56.5
- 2:44
- 6:08
- 25
- 70.5
- 141.5
- 1:09
- 10:13
- 12:22
- 5:08
- 12:38
- 120
- 64
- 83
- 11
- 7:50
- 23
- 30
- 80.5
- 0.5
- 22.5
- 354
- 246
- 60
- 2:01
- 27
- 11:44
- 161
- 11.5
- 12:54
- 179
- 11:32
- 108
- 11:10
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