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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 968 · 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 12:16. What time will it show 70 minutes later? (a) 2:26 (b) 1:36 (c) 1:16 (d) 1:26
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:00? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 7:06? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 2 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 152 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 15 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 138 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  10. 10.A clock shows 9:02. What time will it show 155 minutes later? (a) 11:27 (b) 11:47 (c) 11:37 (d) 12:37
  11. 11.How many degrees does the minute hand of a clock turn in 45 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 38 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 151 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 25 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 74 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 28 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 21 minutes? =
  25. 25.A clock shows 1:43. What time will it show 38 minutes later? (a) 3:21 (b) 2:31 (c) 2:21 (d) 2:11
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  27. 27.A clock shows 2:17. What time will it show 152 minutes later? (a) 4:49 (b) 4:39 (c) 5:49 (d) 4:59
  28. 28.A clock shows 9:53. What time will it show 24 minutes later? (a) 10:27 (b) 10:07 (c) 11:17 (d) 10:17
  29. 29.How many degrees does the minute hand of a clock turn in 55 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 13 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 37 minutes? =
  32. 32.A clock shows 5:38. What time will it show 164 minutes later? (a) 8:32 (b) 8:12 (c) 9:22 (d) 8:22
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  35. 35.A clock shows 7:26. What time will it show 165 minutes later? (a) 10:11 (b) 10:21 (c) 10:01 (d) 11:11
  36. 36.How many degrees does the hour hand of a clock turn in 31 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 56 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  39. 39.A clock shows 7:26. What time will it show 150 minutes later? (a) 9:56 (b) 10:56 (c) 9:46 (d) 10:06
  40. 40.A clock shows 6:02. What time will it show 73 minutes later? (a) 7:05 (b) 8:15 (c) 7:15 (d) 7:25

Answer key

  1. 1:26
  2. 30
  3. 177
  4. 12
  5. 102
  6. 76
  7. 90
  8. 69
  9. 125.5
  10. 11:37
  11. 270
  12. 112.5
  13. 92
  14. 68
  15. 86.5
  16. 228
  17. 75.5
  18. 150
  19. 160
  20. 64.5
  21. 37
  22. 79
  23. 168
  24. 126
  25. 2:21
  26. 177.5
  27. 4:49
  28. 10:17
  29. 330
  30. 78
  31. 222
  32. 8:22
  33. 163
  34. 33.5
  35. 10:11
  36. 15.5
  37. 336
  38. 129
  39. 9:56
  40. 7:15

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