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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 861 · 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 46 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  3. 3.A clock shows 9:24. What time will it show 47 minutes later? (a) 10:01 (b) 11:11 (c) 10:11 (d) 10:21
  4. 4.A clock shows 11:47. What time will it show 47 minutes later? (a) 12:24 (b) 12:34 (c) 1:34 (d) 12:44
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  6. 6.A clock shows 11:31. What time will it show 31 minutes later? (a) 1:02 (b) 12:12 (c) 12:02 (d) 11:52
  7. 7.How many degrees does the minute hand of a clock turn in 52 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 56 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:35? (in degrees) =
  10. 10.A clock shows 1:15. What time will it show 41 minutes later? (a) 1:56 (b) 1:46 (c) 2:06 (d) 2:56
  11. 11.How many degrees does the hour hand of a clock turn in 119 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  13. 13.A clock shows 6:08. What time will it show 122 minutes later? (a) 8:20 (b) 8:10 (c) 8:00 (d) 9:10
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  15. 15.A clock shows 5:50. What time will it show 135 minutes later? (a) 9:05 (b) 7:55 (c) 8:15 (d) 8:05
  16. 16.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 57 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 51 minutes? =
  20. 20.A clock shows 5:34. What time will it show 42 minutes later? (a) 6:16 (b) 6:26 (c) 7:16 (d) 6:06
  21. 21.A clock shows 11:18. What time will it show 154 minutes later? (a) 1:42 (b) 2:02 (c) 2:52 (d) 1:52
  22. 22.How many degrees does the minute hand of a clock turn in 32 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 19 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  25. 25.A clock shows 7:44. What time will it show 38 minutes later? (a) 8:22 (b) 8:12 (c) 8:32 (d) 9:22
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:04? (in degrees) =
  27. 27.A clock shows 11:47. What time will it show 69 minutes later? (a) 1:06 (b) 12:56 (c) 12:46 (d) 1:56
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 16 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 75 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  39. 39.A clock shows 6:22. What time will it show 16 minutes later? (a) 7:38 (b) 6:28 (c) 6:38 (d) 6:48
  40. 40.A clock shows 6:06. What time will it show 13 minutes later? (a) 6:19 (b) 6:09 (c) 6:29 (d) 7:19

Answer key

  1. 276
  2. 58
  3. 10:11
  4. 12:34
  5. 163
  6. 12:02
  7. 312
  8. 336
  9. 132.5
  10. 1:56
  11. 59.5
  12. 94
  13. 8:10
  14. 140.5
  15. 8:05
  16. 168
  17. 22
  18. 342
  19. 306
  20. 6:16
  21. 1:52
  22. 192
  23. 114
  24. 133.5
  25. 8:22
  26. 68
  27. 12:56
  28. 64.5
  29. 5.5
  30. 179
  31. 96
  32. 92
  33. 22
  34. 37.5
  35. 21
  36. 10.5
  37. 106
  38. 169
  39. 6:38
  40. 6:19

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