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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 151 · 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 1:47. What time will it show 87 minutes later? (a) 3:14 (b) 3:04 (c) 4:14 (d) 3:24
  2. 2.How many degrees does the minute hand of a clock turn in 27 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 96 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:56? (in degrees) =
  5. 5.A clock shows 5:57. What time will it show 56 minutes later? (a) 7:53 (b) 6:53 (c) 6:43 (d) 7:03
  6. 6.How many degrees does the hour hand of a clock turn in 112 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 24 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 32 minutes? =
  9. 9.A clock shows 6:30. What time will it show 70 minutes later? (a) 7:30 (b) 7:50 (c) 7:40 (d) 8:40
  10. 10.How many degrees does the hour hand of a clock turn in 62 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:35? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 28 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 28 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 35 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 153 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 51 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 89 minutes? =
  18. 18.A clock shows 7:46. What time will it show 24 minutes later? (a) 8:00 (b) 8:20 (c) 9:10 (d) 8:10
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:52? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 90 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  23. 23.A clock shows 2:46. What time will it show 65 minutes later? (a) 3:51 (b) 4:51 (c) 4:01 (d) 3:41
  24. 24.A clock shows 3:17. What time will it show 105 minutes later? (a) 6:02 (b) 5:02 (c) 4:52 (d) 5:12
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  26. 26.A clock shows 12:59. What time will it show 166 minutes later? (a) 3:45 (b) 3:35 (c) 4:45 (d) 3:55
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:37? (in degrees) =
  28. 28.A clock shows 9:43. What time will it show 103 minutes later? (a) 11:36 (b) 12:26 (c) 11:26 (d) 11:16
  29. 29.How many degrees does the minute hand of a clock turn in 37 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 20 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  34. 34.A clock shows 12:52. What time will it show 77 minutes later? (a) 1:59 (b) 2:19 (c) 2:09 (d) 3:09
  35. 35.How many degrees does the minute hand of a clock turn in 2 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 30 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 33 minutes? =
  38. 38.A clock shows 3:09. What time will it show 67 minutes later? (a) 4:16 (b) 4:06 (c) 5:16 (d) 4:26
  39. 39.How many degrees does the hour hand of a clock turn in 180 minutes? =
  40. 40.A clock shows 12:07. What time will it show 160 minutes later? (a) 2:37 (b) 2:57 (c) 3:47 (d) 2:47

Answer key

  1. 3:14
  2. 162
  3. 48
  4. 38
  5. 6:53
  6. 56
  7. 144
  8. 16
  9. 7:40
  10. 31
  11. 77.5
  12. 14
  13. 168
  14. 210
  15. 76.5
  16. 25.5
  17. 44.5
  18. 8:10
  19. 56.5
  20. 44
  21. 45
  22. 4.5
  23. 3:51
  24. 5:02
  25. 1
  26. 3:45
  27. 143.5
  28. 11:26
  29. 222
  30. 120
  31. 50
  32. 39.5
  33. 164
  34. 2:09
  35. 12
  36. 180
  37. 198
  38. 4:16
  39. 90
  40. 2:47

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