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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 3 · 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 3:53? (in degrees) =
  2. 2.A clock shows 1:30. What time will it show 37 minutes later? (a) 2:17 (b) 1:57 (c) 2:07 (d) 3:07
  3. 3.A clock shows 1:26. What time will it show 59 minutes later? (a) 3:25 (b) 2:15 (c) 2:25 (d) 2:35
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:02? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 65 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 4 minutes? =
  9. 9.A clock shows 11:21. What time will it show 106 minutes later? (a) 1:07 (b) 1:17 (c) 2:07 (d) 12:57
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  11. 11.A clock shows 8:48. What time will it show 81 minutes later? (a) 10:09 (b) 10:19 (c) 9:59 (d) 11:09
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:54? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 132 minutes? =
  14. 14.How many degrees does the hour hand of a clock turn in 75 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:14? (in degrees) =
  17. 17.A clock shows 5:06. What time will it show 152 minutes later? (a) 7:28 (b) 8:38 (c) 7:48 (d) 7:38
  18. 18.A clock shows 4:52. What time will it show 108 minutes later? (a) 6:30 (b) 7:40 (c) 6:50 (d) 6:40
  19. 19.A clock shows 10:20. What time will it show 62 minutes later? (a) 11:12 (b) 11:22 (c) 11:32 (d) 12:22
  20. 20.A clock shows 4:44. What time will it show 17 minutes later? (a) 5:11 (b) 6:01 (c) 4:51 (d) 5:01
  21. 21.A clock shows 11:23. What time will it show 17 minutes later? (a) 11:30 (b) 11:40 (c) 12:40 (d) 11:50
  22. 22.A clock shows 3:22. What time will it show 74 minutes later? (a) 4:26 (b) 5:36 (c) 4:46 (d) 4:36
  23. 23.A clock shows 11:51. What time will it show 127 minutes later? (a) 1:48 (b) 2:08 (c) 2:58 (d) 1:58
  24. 24.A clock shows 2:03. What time will it show 150 minutes later? (a) 4:43 (b) 4:23 (c) 5:33 (d) 4:33
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  26. 26.A clock shows 8:39. What time will it show 113 minutes later? (a) 10:32 (b) 11:32 (c) 10:22 (d) 10:42
  27. 27.A clock shows 1:13. What time will it show 112 minutes later? (a) 4:05 (b) 3:15 (c) 3:05 (d) 2:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 44 minutes? =
  31. 31.A clock shows 12:15. What time will it show 145 minutes later? (a) 2:50 (b) 2:30 (c) 2:40 (d) 3:40
  32. 32.How many degrees does the minute hand of a clock turn in 57 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:41? (in degrees) =
  34. 34.A clock shows 9:25. What time will it show 23 minutes later? (a) 10:48 (b) 9:38 (c) 9:58 (d) 9:48
  35. 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
  36. 36.A clock shows 2:14. What time will it show 88 minutes later? (a) 4:42 (b) 3:42 (c) 3:52 (d) 3:32
  37. 37.A clock shows 10:12. What time will it show 45 minutes later? (a) 11:07 (b) 11:57 (c) 10:47 (d) 10:57
  38. 38.How many degrees does the hour hand of a clock turn in 83 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 41 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =

Answer key

  1. 158.5
  2. 2:07
  3. 2:25
  4. 41
  5. 175.5
  6. 167.5
  7. 32.5
  8. 24
  9. 1:07
  10. 106
  11. 10:09
  12. 93
  13. 66
  14. 37.5
  15. 56
  16. 107
  17. 7:38
  18. 6:40
  19. 11:22
  20. 5:01
  21. 11:40
  22. 4:36
  23. 1:58
  24. 4:33
  25. 98
  26. 10:32
  27. 3:05
  28. 166.5
  29. 131.5
  30. 22
  31. 2:40
  32. 342
  33. 135.5
  34. 9:48
  35. 21
  36. 3:42
  37. 10:57
  38. 41.5
  39. 246
  40. 101

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