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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 621 · 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 5:38. What time will it show 67 minutes later? (a) 7:45 (b) 6:45 (c) 6:35 (d) 6:55
  2. 2.How many degrees does the hour hand of a clock turn in 19 minutes? =
  3. 3.A clock shows 3:07. What time will it show 114 minutes later? (a) 6:01 (b) 4:51 (c) 5:01 (d) 5:11
  4. 4.How many degrees does the hour hand of a clock turn in 166 minutes? =
  5. 5.A clock shows 2:10. What time will it show 18 minutes later? (a) 3:28 (b) 2:18 (c) 2:38 (d) 2:28
  6. 6.How many degrees does the hour hand of a clock turn in 140 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:18? (in degrees) =
  8. 8.A clock shows 11:05. What time will it show 117 minutes later? (a) 12:52 (b) 1:12 (c) 1:02 (d) 2:02
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:25? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:19? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 135 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 118 minutes? =
  14. 14.A clock shows 9:17. What time will it show 131 minutes later? (a) 11:18 (b) 11:28 (c) 12:28 (d) 11:38
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:59? (in degrees) =
  16. 16.A clock shows 5:54. What time will it show 22 minutes later? (a) 7:16 (b) 6:26 (c) 6:16 (d) 6:06
  17. 17.A clock shows 8:03. What time will it show 140 minutes later? (a) 11:23 (b) 10:33 (c) 10:23 (d) 10:13
  18. 18.A clock shows 1:10. What time will it show 135 minutes later? (a) 4:25 (b) 3:35 (c) 3:15 (d) 3:25
  19. 19.A clock shows 5:11. What time will it show 155 minutes later? (a) 7:56 (b) 8:46 (c) 7:46 (d) 7:36
  20. 20.A clock shows 4:36. What time will it show 69 minutes later? (a) 5:35 (b) 6:45 (c) 5:45 (d) 5:55
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 92 minutes? =
  23. 23.A clock shows 5:54. What time will it show 20 minutes later? (a) 6:04 (b) 6:24 (c) 7:14 (d) 6:14
  24. 24.How many degrees does the hour hand of a clock turn in 21 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 144 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  27. 27.A clock shows 2:27. What time will it show 78 minutes later? (a) 3:55 (b) 3:45 (c) 3:35 (d) 4:45
  28. 28.How many degrees does the hour hand of a clock turn in 171 minutes? =
  29. 29.A clock shows 3:06. What time will it show 109 minutes later? (a) 4:45 (b) 5:55 (c) 4:55 (d) 5:05
  30. 30.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:23? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 31 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  36. 36.A clock shows 4:56. What time will it show 51 minutes later? (a) 6:47 (b) 5:37 (c) 5:57 (d) 5:47
  37. 37.A clock shows 7:32. What time will it show 44 minutes later? (a) 9:16 (b) 8:16 (c) 8:06 (d) 8:26
  38. 38.How many degrees does the minute hand of a clock turn in 29 minutes? =
  39. 39.A clock shows 12:35. What time will it show 170 minutes later? (a) 3:35 (b) 4:25 (c) 3:25 (d) 3:15
  40. 40.How many degrees does the minute hand of a clock turn in 6 minutes? =

Answer key

  1. 6:45
  2. 9.5
  3. 5:01
  4. 83
  5. 2:28
  6. 70
  7. 9
  8. 1:02
  9. 137.5
  10. 15.5
  11. 67.5
  12. 43
  13. 59
  14. 11:28
  15. 84.5
  16. 6:16
  17. 10:23
  18. 3:25
  19. 7:46
  20. 5:45
  21. 39
  22. 46
  23. 6:14
  24. 10.5
  25. 72
  26. 13.5
  27. 3:45
  28. 85.5
  29. 4:55
  30. 167
  31. 136
  32. 6.5
  33. 11.5
  34. 186
  35. 125.5
  36. 5:47
  37. 8:16
  38. 174
  39. 3:25
  40. 36

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