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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 784 · 40 questions
TalentJR

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. 1.A clock shows 6:46. What time will it show 23 minutes later? (a) 7:19 (b) 7:09 (c) 6:59 (d) 8:09
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 16 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  6. 6.A clock shows 8:02. What time will it show 128 minutes later? (a) 10:00 (b) 10:20 (c) 10:10 (d) 11:10
  7. 7.How many degrees does the hour hand of a clock turn in 37 minutes? =
  8. 8.A clock shows 2:29. What time will it show 125 minutes later? (a) 4:34 (b) 5:34 (c) 4:44 (d) 4:24
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  10. 10.A clock shows 12:16. What time will it show 134 minutes later? (a) 2:20 (b) 2:30 (c) 3:30 (d) 2:40
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:29? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 10 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 41 minutes? =
  14. 14.A clock shows 10:05. What time will it show 117 minutes later? (a) 12:02 (b) 1:02 (c) 12:12 (d) 11:52
  15. 15.How many degrees does the minute hand of a clock turn in 31 minutes? =
  16. 16.A clock shows 5:36. What time will it show 125 minutes later? (a) 8:41 (b) 7:51 (c) 7:31 (d) 7:41
  17. 17.A clock shows 11:16. What time will it show 145 minutes later? (a) 1:41 (b) 1:51 (c) 2:41 (d) 1:31
  18. 18.How many degrees does the minute hand of a clock turn in 49 minutes? =
  19. 19.A clock shows 1:13. What time will it show 51 minutes later? (a) 3:04 (b) 2:14 (c) 2:04 (d) 1:54
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  22. 22.A clock shows 9:07. What time will it show 89 minutes later? (a) 11:36 (b) 10:36 (c) 10:46 (d) 10:26
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:05? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 21 minutes? =
  27. 27.A clock shows 12:33. What time will it show 36 minutes later? (a) 1:19 (b) 2:09 (c) 12:59 (d) 1:09
  28. 28.A clock shows 5:27. What time will it show 160 minutes later? (a) 9:07 (b) 7:57 (c) 8:17 (d) 8:07
  29. 29.A clock shows 3:07. What time will it show 126 minutes later? (a) 5:13 (b) 6:13 (c) 5:23 (d) 5:03
  30. 30.How many degrees does the minute hand of a clock turn in 4 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 33 minutes? =
  32. 32.A clock shows 3:26. What time will it show 151 minutes later? (a) 6:57 (b) 6:07 (c) 5:57 (d) 5:47
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  34. 34.A clock shows 10:01. What time will it show 140 minutes later? (a) 12:11 (b) 1:21 (c) 12:21 (d) 12:31
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 23 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 152 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 27 minutes? =
  39. 39.A clock shows 10:39. What time will it show 40 minutes later? (a) 12:19 (b) 11:19 (c) 11:09 (d) 11:29
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =

Answer key

  1. 7:09
  2. 163
  3. 96
  4. 70.5
  5. 152
  6. 10:10
  7. 18.5
  8. 4:34
  9. 113.5
  10. 2:30
  11. 110.5
  12. 5
  13. 246
  14. 12:02
  15. 186
  16. 7:41
  17. 1:41
  18. 294
  19. 2:04
  20. 20.5
  21. 47
  22. 10:36
  23. 2.5
  24. 11.5
  25. 110.5
  26. 126
  27. 1:09
  28. 8:07
  29. 5:13
  30. 24
  31. 198
  32. 5:57
  33. 60.5
  34. 12:21
  35. 91.5
  36. 138
  37. 76
  38. 162
  39. 11:19
  40. 132.5

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