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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 219 · 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 3:06? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 55 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 23 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 50 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  7. 7.A clock shows 6:47. What time will it show 106 minutes later? (a) 8:33 (b) 8:43 (c) 8:23 (d) 9:33
  8. 8.A clock shows 9:28. What time will it show 147 minutes later? (a) 12:55 (b) 11:55 (c) 11:45 (d) 12:05
  9. 9.How many degrees does the hour hand of a clock turn in 90 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 19 minutes? =
  11. 11.A clock shows 1:17. What time will it show 81 minutes later? (a) 2:28 (b) 3:38 (c) 2:48 (d) 2:38
  12. 12.A clock shows 6:40. What time will it show 83 minutes later? (a) 7:53 (b) 8:03 (c) 9:03 (d) 8:13
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 72 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 57 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 60 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 16 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 30 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  23. 23.A clock shows 3:42. What time will it show 35 minutes later? (a) 4:27 (b) 4:17 (c) 5:17 (d) 4:07
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:08? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 35 minutes? =
  28. 28.A clock shows 5:41. What time will it show 20 minutes later? (a) 6:11 (b) 6:01 (c) 7:01 (d) 5:51
  29. 29.A clock shows 6:34. What time will it show 13 minutes later? (a) 6:37 (b) 6:47 (c) 6:57 (d) 7:47
  30. 30.How many degrees does the hour hand of a clock turn in 15 minutes? =
  31. 31.A clock shows 1:10. What time will it show 124 minutes later? (a) 3:14 (b) 3:24 (c) 4:14 (d) 3:04
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 29 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:54? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 53 minutes? =
  38. 38.A clock shows 4:56. What time will it show 124 minutes later? (a) 6:50 (b) 7:00 (c) 7:10 (d) 8:00
  39. 39.A clock shows 11:03. What time will it show 86 minutes later? (a) 12:19 (b) 12:39 (c) 1:29 (d) 12:29
  40. 40.A clock shows 9:20. What time will it show 100 minutes later? (a) 10:50 (b) 11:00 (c) 12:00 (d) 11:10

Answer key

  1. 57
  2. 27.5
  3. 35.5
  4. 11.5
  5. 300
  6. 26.5
  7. 8:33
  8. 11:55
  9. 45
  10. 9.5
  11. 2:38
  12. 8:03
  13. 169
  14. 36
  15. 28.5
  16. 30
  17. 104
  18. 76.5
  19. 96
  20. 180
  21. 33.5
  22. 106.5
  23. 4:17
  24. 124.5
  25. 74
  26. 54
  27. 210
  28. 6:01
  29. 6:47
  30. 7.5
  31. 3:14
  32. 81
  33. 100
  34. 174
  35. 56
  36. 177
  37. 318
  38. 7:00
  39. 12:29
  40. 11:00

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