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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 245 · 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.How many degrees does the minute hand of a clock turn in 19 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  4. 4.A clock shows 3:10. What time will it show 166 minutes later? (a) 5:56 (b) 6:06 (c) 5:46 (d) 6:56
  5. 5.How many degrees does the hour hand of a clock turn in 19 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 50 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:28? (in degrees) =
  9. 9.A clock shows 3:26. What time will it show 12 minutes later? (a) 3:48 (b) 3:38 (c) 4:38 (d) 3:28
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:34? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  13. 13.A clock shows 5:29. What time will it show 97 minutes later? (a) 7:16 (b) 6:56 (c) 7:06 (d) 8:06
  14. 14.What is the smaller angle between the hour hand and the minute hand at 5:14? (in degrees) =
  15. 15.A clock shows 4:30. What time will it show 92 minutes later? (a) 5:52 (b) 6:12 (c) 7:02 (d) 6:02
  16. 16.A clock shows 6:03. What time will it show 39 minutes later? (a) 6:52 (b) 7:42 (c) 6:42 (d) 6:32
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:21? (in degrees) =
  18. 18.A clock shows 2:36. What time will it show 167 minutes later? (a) 6:23 (b) 5:33 (c) 5:23 (d) 5:13
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  20. 20.A clock shows 8:36. What time will it show 160 minutes later? (a) 12:16 (b) 11:16 (c) 11:06 (d) 11:26
  21. 21.How many degrees does the minute hand of a clock turn in 37 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 157 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 141 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
  27. 27.A clock shows 9:29. What time will it show 27 minutes later? (a) 10:56 (b) 9:56 (c) 9:46 (d) 10:06
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 21 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  31. 31.A clock shows 8:28. What time will it show 53 minutes later? (a) 10:21 (b) 9:31 (c) 9:21 (d) 9:11
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  33. 33.A clock shows 1:54. What time will it show 169 minutes later? (a) 5:43 (b) 4:33 (c) 4:43 (d) 4:53
  34. 34.How many degrees does the hour hand of a clock turn in 175 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:50? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 8 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 34 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 80 minutes? =

Answer key

  1. 114
  2. 70.5
  3. 5.5
  4. 5:56
  5. 9.5
  6. 300
  7. 37
  8. 146
  9. 3:38
  10. 21
  11. 83
  12. 11
  13. 7:06
  14. 73
  15. 6:02
  16. 6:42
  17. 64.5
  18. 5:23
  19. 124
  20. 11:16
  21. 222
  22. 78.5
  23. 33.5
  24. 53
  25. 70.5
  26. 42
  27. 9:56
  28. 147.5
  29. 126
  30. 43.5
  31. 9:21
  32. 153
  33. 4:43
  34. 87.5
  35. 115
  36. 18.5
  37. 48
  38. 132
  39. 204
  40. 40

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