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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 242 · 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 3:36? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 55 minutes? =
  6. 6.A clock shows 1:31. What time will it show 166 minutes later? (a) 4:07 (b) 5:17 (c) 4:27 (d) 4:17
  7. 7.How many degrees does the hour hand of a clock turn in 73 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 25 minutes? =
  10. 10.A clock shows 4:00. What time will it show 112 minutes later? (a) 6:02 (b) 5:42 (c) 5:52 (d) 6:52
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  13. 13.A clock shows 8:41. What time will it show 150 minutes later? (a) 11:11 (b) 12:11 (c) 11:01 (d) 11:21
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:02? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 65 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 53 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 168 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 136 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
  21. 21.A clock shows 1:17. What time will it show 125 minutes later? (a) 4:22 (b) 3:22 (c) 3:32 (d) 3:12
  22. 22.How many degrees does the hour hand of a clock turn in 138 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 22 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 4 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 71 minutes? =
  27. 27.A clock shows 12:25. What time will it show 21 minutes later? (a) 12:46 (b) 12:36 (c) 1:46 (d) 12:56
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  29. 29.A clock shows 11:11. What time will it show 143 minutes later? (a) 2:34 (b) 1:24 (c) 1:44 (d) 1:34
  30. 30.A clock shows 5:36. What time will it show 98 minutes later? (a) 7:14 (b) 7:24 (c) 7:04 (d) 8:14
  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 1:09? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 43 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 10 minutes? =
  36. 36.A clock shows 1:02. What time will it show 102 minutes later? (a) 2:44 (b) 2:54 (c) 3:44 (d) 2:34
  37. 37.A clock shows 1:26. What time will it show 134 minutes later? (a) 3:50 (b) 3:30 (c) 4:40 (d) 3:40
  38. 38.How many degrees does the hour hand of a clock turn in 30 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 49 minutes? =
  40. 40.A clock shows 3:17. What time will it show 107 minutes later? (a) 6:04 (b) 4:54 (c) 5:04 (d) 5:14

Answer key

  1. 114
  2. 108
  3. 119
  4. 336
  5. 330
  6. 4:17
  7. 36.5
  8. 29
  9. 12.5
  10. 5:52
  11. 144.5
  12. 1.5
  13. 11:11
  14. 160.5
  15. 139
  16. 32.5
  17. 318
  18. 84
  19. 68
  20. 54
  21. 3:22
  22. 69
  23. 132
  24. 107
  25. 24
  26. 35.5
  27. 12:46
  28. 128
  29. 1:34
  30. 7:14
  31. 96
  32. 19.5
  33. 258
  34. 156
  35. 5
  36. 2:44
  37. 3:40
  38. 15
  39. 294
  40. 5:04

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