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 8:31. What time will it show 109 minutes later? (a) 11:20 (b) 10:30 (c) 10:20 (d) 10:10
- 2.A clock shows 6:35. What time will it show 19 minutes later? (a) 6:44 (b) 7:54 (c) 6:54 (d) 7:04
- 3.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 6:49? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
- 9.A clock shows 1:18. What time will it show 79 minutes later? (a) 2:37 (b) 3:37 (c) 2:47 (d) 2:27
- 10.A clock shows 3:13. What time will it show 105 minutes later? (a) 5:08 (b) 5:58 (c) 4:48 (d) 4:58
- 11.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
- 15.A clock shows 7:14. What time will it show 62 minutes later? (a) 8:26 (b) 8:06 (c) 8:16 (d) 9:16
- 16.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
- 17.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
- 18.A clock shows 4:51. What time will it show 144 minutes later? (a) 7:05 (b) 7:25 (c) 8:15 (d) 7:15
- 19.What is the smaller angle between the hour hand and the minute hand at 6:44? (in degrees) =
- 20.A clock shows 1:04. What time will it show 84 minutes later? (a) 2:38 (b) 2:18 (c) 3:28 (d) 2:28
- 21.A clock shows 4:04. What time will it show 27 minutes later? (a) 4:41 (b) 5:31 (c) 4:31 (d) 4:21
- 22.How many degrees does the minute hand of a clock turn in 12 minutes? =
- 23.How many degrees does the hour hand of a clock turn in 17 minutes? =
- 24.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
- 25.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
- 26.A clock shows 9:14. What time will it show 138 minutes later? (a) 11:32 (b) 11:42 (c) 11:22 (d) 12:32
- 27.How many degrees does the hour hand of a clock turn in 111 minutes? =
- 28.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
- 29.How many degrees does the hour hand of a clock turn in 121 minutes? =
- 30.How many degrees does the minute hand of a clock turn in 45 minutes? =
- 31.A clock shows 1:42. What time will it show 149 minutes later? (a) 4:21 (b) 4:11 (c) 4:01 (d) 5:11
- 32.A clock shows 10:15. What time will it show 123 minutes later? (a) 12:08 (b) 12:18 (c) 12:28 (d) 1:18
- 33.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
- 34.A clock shows 11:04. What time will it show 117 minutes later? (a) 1:11 (b) 1:01 (c) 2:01 (d) 12:51
- 35.How many degrees does the minute hand of a clock turn in 38 minutes? =
- 36.How many degrees does the hour hand of a clock turn in 109 minutes? =
- 37.How many degrees does the minute hand of a clock turn in 19 minutes? =
- 38.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
- 39.A clock shows 10:14. What time will it show 160 minutes later? (a) 12:54 (b) 1:04 (c) 12:44 (d) 1:54
- 40.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
Answer key
- 10:20
- 6:54
- 84
- 103
- 43.5
- 89.5
- 49
- 96.5
- 2:37
- 4:58
- 50
- 180
- 48
- 113.5
- 8:16
- 7
- 162
- 7:15
- 62
- 2:28
- 4:31
- 72
- 8.5
- 138
- 144.5
- 11:32
- 55.5
- 138
- 60.5
- 270
- 4:11
- 12:18
- 66.5
- 1:01
- 228
- 54.5
- 114
- 19
- 12:54
- 115
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