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 9:47? (in degrees) =
- 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
- 3.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
- 5.A clock shows 12:03. What time will it show 66 minutes later? (a) 1:19 (b) 12:59 (c) 2:09 (d) 1:09
- 6.A clock shows 12:50. What time will it show 131 minutes later? (a) 3:01 (b) 3:11 (c) 2:51 (d) 4:01
- 7.A clock shows 5:09. What time will it show 91 minutes later? (a) 6:30 (b) 6:50 (c) 6:40 (d) 7:40
- 8.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
- 9.A clock shows 9:12. What time will it show 58 minutes later? (a) 11:10 (b) 10:00 (c) 10:20 (d) 10:10
- 10.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
- 11.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
- 13.A clock shows 2:37. What time will it show 124 minutes later? (a) 4:31 (b) 5:41 (c) 4:41 (d) 4:51
- 14.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
- 15.A clock shows 1:09. What time will it show 22 minutes later? (a) 1:21 (b) 1:41 (c) 2:31 (d) 1:31
- 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 17.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
- 18.A clock shows 7:10. What time will it show 128 minutes later? (a) 10:18 (b) 9:28 (c) 9:18 (d) 9:08
- 19.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
- 20.How many degrees does the hour hand of a clock turn in 94 minutes? =
- 21.A clock shows 8:18. What time will it show 34 minutes later? (a) 9:02 (b) 9:52 (c) 8:42 (d) 8:52
- 22.A clock shows 1:50. What time will it show 100 minutes later? (a) 4:30 (b) 3:30 (c) 3:40 (d) 3:20
- 23.How many degrees does the hour hand of a clock turn in 34 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 51 minutes? =
- 25.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
- 26.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
- 27.How many degrees does the hour hand of a clock turn in 89 minutes? =
- 28.How many degrees does the hour hand of a clock turn in 22 minutes? =
- 29.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 30.A clock shows 11:12. What time will it show 63 minutes later? (a) 1:15 (b) 12:25 (c) 12:15 (d) 12:05
- 31.How many degrees does the minute hand of a clock turn in 53 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 160 minutes? =
- 33.A clock shows 5:18. What time will it show 54 minutes later? (a) 6:12 (b) 6:02 (c) 6:22 (d) 7:12
- 34.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
- 35.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
- 37.A clock shows 11:37. What time will it show 64 minutes later? (a) 12:51 (b) 12:41 (c) 1:41 (d) 12:31
- 38.A clock shows 6:42. What time will it show 41 minutes later? (a) 7:23 (b) 7:33 (c) 7:13 (d) 8:23
- 39.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
- 40.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
Answer key
- 11.5
- 264
- 86
- 125
- 1:09
- 3:01
- 6:40
- 44.5
- 10:10
- 55.5
- 107
- 101.5
- 4:41
- 26
- 1:31
- 270
- 154.5
- 9:18
- 61.5
- 47
- 8:52
- 3:30
- 17
- 25.5
- 128
- 53.5
- 44.5
- 11
- 48
- 12:15
- 318
- 80
- 6:12
- 153
- 210
- 348
- 12:41
- 7:23
- 136.5
- 11.5
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