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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 878 · 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 10:08? (in degrees) =
  2. 2.A clock shows 6:03. What time will it show 95 minutes later? (a) 8:38 (b) 7:28 (c) 7:38 (d) 7:48
  3. 3.How many degrees does the minute hand of a clock turn in 8 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 121 minutes? =
  5. 5.A clock shows 5:39. What time will it show 40 minutes later? (a) 6:09 (b) 6:29 (c) 7:19 (d) 6:19
  6. 6.A clock shows 1:25. What time will it show 43 minutes later? (a) 2:18 (b) 1:58 (c) 2:08 (d) 3:08
  7. 7.How many degrees does the minute hand of a clock turn in 49 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:17? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 12:34? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  12. 12.A clock shows 5:04. What time will it show 128 minutes later? (a) 7:02 (b) 7:12 (c) 8:12 (d) 7:22
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 29 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 118 minutes? =
  19. 19.A clock shows 9:19. What time will it show 103 minutes later? (a) 11:12 (b) 12:02 (c) 10:52 (d) 11:02
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 5 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  23. 23.A clock shows 6:26. What time will it show 46 minutes later? (a) 7:02 (b) 7:12 (c) 8:12 (d) 7:22
  24. 24.How many degrees does the minute hand of a clock turn in 11 minutes? =
  25. 25.How many degrees does the hour hand of a clock turn in 143 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 117 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 12:52? (in degrees) =
  28. 28.A clock shows 10:45. What time will it show 139 minutes later? (a) 1:04 (b) 2:04 (c) 12:54 (d) 1:14
  29. 29.A clock shows 4:11. What time will it show 160 minutes later? (a) 7:01 (b) 6:41 (c) 7:51 (d) 6:51
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:24? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 50 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  34. 34.A clock shows 6:25. What time will it show 149 minutes later? (a) 8:54 (b) 8:44 (c) 9:54 (d) 9:04
  35. 35.A clock shows 3:58. What time will it show 94 minutes later? (a) 5:42 (b) 6:32 (c) 5:22 (d) 5:32
  36. 36.How many degrees does the hour hand of a clock turn in 56 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 3 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 53 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:11? (in degrees) =

Answer key

  1. 104
  2. 7:38
  3. 48
  4. 60.5
  5. 6:19
  6. 2:08
  7. 294
  8. 63.5
  9. 173
  10. 137.5
  11. 121
  12. 7:12
  13. 17
  14. 149
  15. 14.5
  16. 175
  17. 68.5
  18. 59
  19. 11:02
  20. 22
  21. 30
  22. 1
  23. 7:12
  24. 66
  25. 71.5
  26. 58.5
  27. 74
  28. 1:04
  29. 6:51
  30. 168
  31. 300
  32. 93.5
  33. 144.5
  34. 8:54
  35. 5:32
  36. 28
  37. 18
  38. 26.5
  39. 150
  40. 30.5

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