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.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
- 2.How many degrees does the hour hand of a clock turn in 100 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
- 4.How many degrees does the minute hand of a clock turn in 4 minutes? =
- 5.How many degrees does the hour hand of a clock turn in 42 minutes? =
- 6.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 5:45? (in degrees) =
- 8.A clock shows 2:55. What time will it show 55 minutes later? (a) 3:40 (b) 4:00 (c) 4:50 (d) 3:50
- 9.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
- 10.How many degrees does the minute hand of a clock turn in 40 minutes? =
- 11.A clock shows 11:03. What time will it show 94 minutes later? (a) 12:47 (b) 12:37 (c) 1:37 (d) 12:27
- 12.A clock shows 1:46. What time will it show 104 minutes later? (a) 3:20 (b) 4:30 (c) 3:30 (d) 3:40
- 13.A clock shows 4:26. What time will it show 29 minutes later? (a) 4:45 (b) 5:55 (c) 5:05 (d) 4:55
- 14.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
- 15.How many degrees does the minute hand of a clock turn in 27 minutes? =
- 16.A clock shows 1:16. What time will it show 58 minutes later? (a) 2:24 (b) 3:14 (c) 2:04 (d) 2:14
- 17.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
- 18.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
- 19.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
- 20.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
- 21.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 22.A clock shows 7:07. What time will it show 132 minutes later? (a) 9:19 (b) 9:09 (c) 10:19 (d) 9:29
- 23.A clock shows 2:15. What time will it show 43 minutes later? (a) 2:48 (b) 3:58 (c) 2:58 (d) 3:08
- 24.What is the smaller angle between the hour hand and the minute hand at 11:31? (in degrees) =
- 25.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 27.A clock shows 7:29. What time will it show 87 minutes later? (a) 9:06 (b) 8:56 (c) 8:46 (d) 9:56
- 28.A clock shows 7:10. What time will it show 75 minutes later? (a) 8:25 (b) 9:25 (c) 8:15 (d) 8:35
- 29.How many degrees does the minute hand of a clock turn in 26 minutes? =
- 30.A clock shows 3:00. What time will it show 49 minutes later? (a) 3:39 (b) 3:49 (c) 4:49 (d) 3:59
- 31.What is the smaller angle between the hour hand and the minute hand at 2:53? (in degrees) =
- 32.How many degrees does the hour hand of a clock turn in 171 minutes? =
- 33.A clock shows 8:08. What time will it show 80 minutes later? (a) 9:28 (b) 9:18 (c) 9:38 (d) 10:28
- 34.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
- 35.How many degrees does the hour hand of a clock turn in 133 minutes? =
- 36.A clock shows 2:03. What time will it show 150 minutes later? (a) 5:33 (b) 4:23 (c) 4:33 (d) 4:43
- 37.How many degrees does the hour hand of a clock turn in 163 minutes? =
- 38.A clock shows 2:58. What time will it show 105 minutes later? (a) 4:53 (b) 5:43 (c) 4:43 (d) 4:33
- 39.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
Answer key
- 1
- 50
- 137
- 24
- 21
- 145
- 97.5
- 3:50
- 137
- 240
- 12:37
- 3:30
- 4:55
- 152
- 162
- 2:14
- 6.5
- 71
- 156.5
- 80
- 100.5
- 9:19
- 2:58
- 159.5
- 270
- 61.5
- 8:56
- 8:25
- 156
- 3:49
- 128.5
- 85.5
- 9:28
- 101.5
- 66.5
- 4:33
- 81.5
- 4:43
- 43.5
- 116
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