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 11:31? (in degrees) =
- 2.A clock shows 8:15. What time will it show 164 minutes later? (a) 10:49 (b) 11:59 (c) 10:59 (d) 11:09
- 3.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
- 4.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
- 5.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
- 6.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
- 7.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
- 8.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
- 9.How many degrees does the minute hand of a clock turn in 11 minutes? =
- 10.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
- 11.A clock shows 10:15. What time will it show 18 minutes later? (a) 10:33 (b) 10:43 (c) 10:23 (d) 11:33
- 12.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
- 13.How many degrees does the minute hand of a clock turn in 3 minutes? =
- 14.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
- 15.A clock shows 4:30. What time will it show 111 minutes later? (a) 6:21 (b) 6:31 (c) 7:21 (d) 6:11
- 16.A clock shows 8:57. What time will it show 63 minutes later? (a) 11:00 (b) 9:50 (c) 10:10 (d) 10:00
- 17.A clock shows 11:11. What time will it show 166 minutes later? (a) 2:07 (b) 2:57 (c) 1:57 (d) 1:47
- 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
- 19.A clock shows 12:02. What time will it show 90 minutes later? (a) 1:42 (b) 2:32 (c) 1:32 (d) 1:22
- 20.How many degrees does the hour hand of a clock turn in 50 minutes? =
- 21.A clock shows 1:29. What time will it show 37 minutes later? (a) 3:06 (b) 2:16 (c) 2:06 (d) 1:56
- 22.A clock shows 9:24. What time will it show 157 minutes later? (a) 12:11 (b) 1:01 (c) 12:01 (d) 11:51
- 23.How many degrees does the minute hand of a clock turn in 46 minutes? =
- 24.How many degrees does the hour hand of a clock turn in 112 minutes? =
- 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
- 26.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
- 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
- 28.A clock shows 6:30. What time will it show 163 minutes later? (a) 10:13 (b) 9:03 (c) 9:13 (d) 9:23
- 29.A clock shows 5:32. What time will it show 53 minutes later? (a) 6:25 (b) 7:25 (c) 6:15 (d) 6:35
- 30.How many degrees does the minute hand of a clock turn in 56 minutes? =
- 31.How many degrees does the minute hand of a clock turn in 31 minutes? =
- 32.How many degrees does the hour hand of a clock turn in 127 minutes? =
- 33.How many degrees does the minute hand of a clock turn in 35 minutes? =
- 34.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
- 35.A clock shows 11:14. What time will it show 71 minutes later? (a) 1:25 (b) 12:35 (c) 12:25 (d) 12:15
- 36.How many degrees does the hour hand of a clock turn in 21 minutes? =
- 37.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
- 38.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
- 39.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
- 40.How many degrees does the hour hand of a clock turn in 80 minutes? =
Answer key
- 159.5
- 10:59
- 175
- 63
- 64.5
- 110
- 135.5
- 156.5
- 66
- 58
- 10:33
- 167
- 18
- 167
- 6:21
- 10:00
- 1:57
- 48
- 1:32
- 25
- 2:06
- 12:01
- 276
- 56
- 108
- 136
- 216
- 9:13
- 6:25
- 336
- 186
- 63.5
- 210
- 177.5
- 12:25
- 10.5
- 148
- 42
- 47.5
- 40
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