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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 94 · 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 6:11? (in degrees) =
  3. 3.A clock shows 3:59. What time will it show 52 minutes later? (a) 4:41 (b) 5:01 (c) 4:51 (d) 5:51
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:09? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  6. 6.A clock shows 10:14. What time will it show 62 minutes later? (a) 11:26 (b) 11:06 (c) 11:16 (d) 12:16
  7. 7.A clock shows 2:33. What time will it show 70 minutes later? (a) 3:33 (b) 4:43 (c) 3:53 (d) 3:43
  8. 8.A clock shows 8:47. What time will it show 126 minutes later? (a) 10:43 (b) 10:53 (c) 11:53 (d) 11:03
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 100 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  12. 12.A clock shows 1:17. What time will it show 69 minutes later? (a) 3:26 (b) 2:26 (c) 2:16 (d) 2:36
  13. 13.A clock shows 6:39. What time will it show 146 minutes later? (a) 9:05 (b) 10:05 (c) 8:55 (d) 9:15
  14. 14.A clock shows 11:26. What time will it show 150 minutes later? (a) 1:46 (b) 1:56 (c) 2:06 (d) 2:56
  15. 15.How many degrees does the hour hand of a clock turn in 141 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 58 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 10 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:56? (in degrees) =
  19. 19.A clock shows 7:09. What time will it show 133 minutes later? (a) 9:32 (b) 9:22 (c) 10:22 (d) 9:12
  20. 20.A clock shows 4:25. What time will it show 29 minutes later? (a) 5:54 (b) 4:44 (c) 5:04 (d) 4:54
  21. 21.How many degrees does the minute hand of a clock turn in 37 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:37? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 87 minutes? =
  26. 26.A clock shows 10:29. What time will it show 63 minutes later? (a) 11:32 (b) 12:32 (c) 11:42 (d) 11:22
  27. 27.A clock shows 10:20. What time will it show 43 minutes later? (a) 10:53 (b) 11:13 (c) 11:03 (d) 12:03
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  32. 32.A clock shows 2:01. What time will it show 35 minutes later? (a) 2:46 (b) 3:36 (c) 2:26 (d) 2:36
  33. 33.How many degrees does the minute hand of a clock turn in 54 minutes? =
  34. 34.A clock shows 9:56. What time will it show 78 minutes later? (a) 11:14 (b) 11:24 (c) 12:14 (d) 11:04
  35. 35.How many degrees does the hour hand of a clock turn in 91 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 52 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 21 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 25 minutes? =

Answer key

  1. 114
  2. 119.5
  3. 4:51
  4. 139.5
  5. 126.5
  6. 11:16
  7. 3:43
  8. 10:53
  9. 162.5
  10. 50
  11. 81
  12. 2:26
  13. 9:05
  14. 1:56
  15. 70.5
  16. 348
  17. 5
  18. 98
  19. 9:22
  20. 4:54
  21. 222
  22. 176.5
  23. 96.5
  24. 166.5
  25. 43.5
  26. 11:32
  27. 11:03
  28. 18.5
  29. 41.5
  30. 117
  31. 36
  32. 2:36
  33. 324
  34. 11:14
  35. 45.5
  36. 33
  37. 145
  38. 312
  39. 126
  40. 12.5

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