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 9:04. What time will it show 17 minutes later? (a) 9:31 (b) 10:21 (c) 9:21 (d) 9:11
- 2.How many degrees does the hour hand of a clock turn in 12 minutes? =
- 3.A clock shows 12:46. What time will it show 145 minutes later? (a) 3:01 (b) 3:21 (c) 3:11 (d) 4:11
- 4.How many degrees does the hour hand of a clock turn in 169 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 18 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:37? (in degrees) =
- 8.How many degrees does the hour hand of a clock turn in 143 minutes? =
- 9.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 25 minutes? =
- 11.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 12.How many degrees does the hour hand of a clock turn in 45 minutes? =
- 13.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
- 14.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
- 15.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
- 16.A clock shows 4:09. What time will it show 79 minutes later? (a) 5:28 (b) 5:18 (c) 5:38 (d) 6:28
- 17.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
- 18.A clock shows 5:14. What time will it show 89 minutes later? (a) 6:33 (b) 6:53 (c) 7:43 (d) 6:43
- 19.A clock shows 12:30. What time will it show 20 minutes later? (a) 12:50 (b) 12:40 (c) 1:50 (d) 1:00
- 20.A clock shows 5:34. What time will it show 96 minutes later? (a) 8:10 (b) 7:10 (c) 7:00 (d) 7:20
- 21.A clock shows 11:18. What time will it show 113 minutes later? (a) 2:11 (b) 1:21 (c) 1:01 (d) 1:11
- 22.A clock shows 10:58. What time will it show 66 minutes later? (a) 12:14 (b) 11:54 (c) 12:04 (d) 1:04
- 23.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
- 26.How many degrees does the hour hand of a clock turn in 23 minutes? =
- 27.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 28.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
- 29.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
- 30.A clock shows 4:20. What time will it show 20 minutes later? (a) 4:30 (b) 4:50 (c) 4:40 (d) 5:40
- 31.A clock shows 2:25. What time will it show 36 minutes later? (a) 4:01 (b) 3:01 (c) 2:51 (d) 3:11
- 32.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
- 33.A clock shows 11:19. What time will it show 54 minutes later? (a) 1:13 (b) 12:23 (c) 12:03 (d) 12:13
- 34.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
- 38.How many degrees does the hour hand of a clock turn in 65 minutes? =
- 39.A clock shows 12:06. What time will it show 67 minutes later? (a) 1:03 (b) 2:13 (c) 1:23 (d) 1:13
- 40.How many degrees does the hour hand of a clock turn in 21 minutes? =
Answer key
- 9:21
- 6
- 3:11
- 84.5
- 9
- 34
- 36.5
- 71.5
- 93.5
- 150
- 47.5
- 22.5
- 91
- 125.5
- 112
- 5:28
- 46.5
- 6:43
- 12:50
- 7:10
- 1:11
- 12:04
- 149.5
- 47
- 92
- 11.5
- 37.5
- 164
- 62
- 4:40
- 3:01
- 119.5
- 12:13
- 89.5
- 44.5
- 348
- 123.5
- 32.5
- 1:13
- 10.5
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