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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 50 · 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.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  2. 2.A clock shows 10:01. What time will it show 96 minutes later? (a) 11:27 (b) 12:37 (c) 11:37 (d) 11:47
  3. 3.How many degrees does the hour hand of a clock turn in 104 minutes? =
  4. 4.A clock shows 3:16. What time will it show 18 minutes later? (a) 3:44 (b) 3:34 (c) 3:24 (d) 4:34
  5. 5.A clock shows 7:04. What time will it show 163 minutes later? (a) 10:47 (b) 9:57 (c) 9:47 (d) 9:37
  6. 6.A clock shows 4:56. What time will it show 80 minutes later? (a) 6:26 (b) 6:06 (c) 7:16 (d) 6:16
  7. 7.A clock shows 9:06. What time will it show 70 minutes later? (a) 10:16 (b) 10:26 (c) 11:16 (d) 10:06
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:57? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 170 minutes? =
  11. 11.A clock shows 9:10. What time will it show 126 minutes later? (a) 11:26 (b) 11:16 (c) 12:16 (d) 11:06
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:46? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 8 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:37? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 44 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 72 minutes? =
  20. 20.A clock shows 6:14. What time will it show 157 minutes later? (a) 8:41 (b) 8:51 (c) 9:51 (d) 9:01
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:53? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  25. 25.A clock shows 12:55. What time will it show 34 minutes later? (a) 1:19 (b) 1:29 (c) 1:39 (d) 2:29
  26. 26.A clock shows 4:19. What time will it show 133 minutes later? (a) 7:32 (b) 6:32 (c) 6:22 (d) 6:42
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:27? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:41? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 97 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 43 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  32. 32.A clock shows 12:29. What time will it show 90 minutes later? (a) 2:09 (b) 1:59 (c) 1:49 (d) 2:59
  33. 33.A clock shows 12:29. What time will it show 138 minutes later? (a) 3:47 (b) 2:37 (c) 2:57 (d) 2:47
  34. 34.A clock shows 11:48. What time will it show 89 minutes later? (a) 2:17 (b) 1:17 (c) 1:07 (d) 1:27
  35. 35.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 163 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 3 minutes? =
  38. 38.A clock shows 12:17. What time will it show 167 minutes later? (a) 3:14 (b) 4:04 (c) 2:54 (d) 3:04
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  40. 40.A clock shows 3:27. What time will it show 57 minutes later? (a) 4:14 (b) 5:24 (c) 4:34 (d) 4:24

Answer key

  1. 35
  2. 11:37
  3. 52
  4. 3:34
  5. 9:47
  6. 6:16
  7. 10:16
  8. 163.5
  9. 152
  10. 85
  11. 11:16
  12. 73
  13. 42.5
  14. 48
  15. 23.5
  16. 33.5
  17. 264
  18. 99.5
  19. 36
  20. 8:51
  21. 105
  22. 171.5
  23. 144
  24. 95
  25. 1:29
  26. 6:32
  27. 28.5
  28. 105.5
  29. 48.5
  30. 258
  31. 61
  32. 1:59
  33. 2:47
  34. 1:17
  35. 119
  36. 81.5
  37. 18
  38. 3:04
  39. 41
  40. 4:24

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