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 7:28. What time will it show 80 minutes later? (a) 9:48 (b) 8:48 (c) 8:58 (d) 8:38
- 2.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
- 3.How many degrees does the hour hand of a clock turn in 152 minutes? =
- 4.What is the smaller angle between the hour hand and the minute hand at 4:15? (in degrees) =
- 5.A clock shows 7:03. What time will it show 80 minutes later? (a) 8:23 (b) 8:13 (c) 9:23 (d) 8:33
- 6.How many degrees does the hour hand of a clock turn in 91 minutes? =
- 7.How many degrees does the minute hand of a clock turn in 15 minutes? =
- 8.A clock shows 5:04. What time will it show 66 minutes later? (a) 6:10 (b) 6:00 (c) 7:10 (d) 6:20
- 9.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
- 10.A clock shows 2:39. What time will it show 56 minutes later? (a) 3:25 (b) 3:45 (c) 4:35 (d) 3:35
- 11.What is the smaller angle between the hour hand and the minute hand at 5:51? (in degrees) =
- 12.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
- 13.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
- 14.A clock shows 7:18. What time will it show 80 minutes later? (a) 8:48 (b) 8:28 (c) 9:38 (d) 8:38
- 15.How many degrees does the minute hand of a clock turn in 30 minutes? =
- 16.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
- 17.A clock shows 7:14. What time will it show 98 minutes later? (a) 8:52 (b) 8:42 (c) 9:02 (d) 9:52
- 18.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
- 19.How many degrees does the hour hand of a clock turn in 30 minutes? =
- 20.A clock shows 8:08. What time will it show 58 minutes later? (a) 10:06 (b) 9:16 (c) 8:56 (d) 9:06
- 21.How many degrees does the minute hand of a clock turn in 52 minutes? =
- 22.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
- 23.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
- 24.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
- 25.A clock shows 12:19. What time will it show 39 minutes later? (a) 1:08 (b) 1:58 (c) 12:58 (d) 12:48
- 26.A clock shows 4:11. What time will it show 34 minutes later? (a) 5:45 (b) 4:45 (c) 4:35 (d) 4:55
- 27.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
- 28.A clock shows 6:06. What time will it show 51 minutes later? (a) 7:07 (b) 7:57 (c) 6:57 (d) 6:47
- 29.A clock shows 2:45. What time will it show 28 minutes later? (a) 3:13 (b) 4:13 (c) 3:23 (d) 3:03
- 30.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
- 31.A clock shows 12:10. What time will it show 148 minutes later? (a) 2:48 (b) 2:38 (c) 2:28 (d) 3:38
- 32.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
- 33.What is the smaller angle between the hour hand and the minute hand at 11:26? (in degrees) =
- 34.A clock shows 1:13. What time will it show 102 minutes later? (a) 3:55 (b) 2:45 (c) 3:05 (d) 2:55
- 35.What is the smaller angle between the hour hand and the minute hand at 7:22? (in degrees) =
- 36.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
- 38.How many degrees does the minute hand of a clock turn in 48 minutes? =
- 39.How many degrees does the minute hand of a clock turn in 10 minutes? =
- 40.A clock shows 7:18. What time will it show 22 minutes later? (a) 7:50 (b) 7:30 (c) 8:40 (d) 7:40
Answer key
- 8:48
- 55
- 76
- 37.5
- 8:23
- 45.5
- 90
- 6:10
- 124.5
- 3:35
- 130.5
- 29
- 109.5
- 8:38
- 180
- 102
- 8:52
- 2
- 15
- 9:06
- 312
- 139.5
- 144
- 87.5
- 12:58
- 4:45
- 31
- 6:57
- 3:13
- 169
- 2:38
- 15
- 173
- 2:55
- 89
- 48
- 100.5
- 288
- 60
- 7:40
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