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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 803 · 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 6:32. What time will it show 14 minutes later? (a) 6:36 (b) 6:46 (c) 7:46 (d) 6:56
  2. 2.A clock shows 12:32. What time will it show 70 minutes later? (a) 1:32 (b) 1:42 (c) 1:52 (d) 2:42
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 163 minutes? =
  5. 5.A clock shows 2:38. What time will it show 169 minutes later? (a) 5:37 (b) 5:17 (c) 6:27 (d) 5:27
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 167 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 24 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 155 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:23? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 152 minutes? =
  15. 15.A clock shows 4:48. What time will it show 73 minutes later? (a) 6:01 (b) 5:51 (c) 7:01 (d) 6:11
  16. 16.A clock shows 1:18. What time will it show 127 minutes later? (a) 3:15 (b) 4:25 (c) 3:35 (d) 3:25
  17. 17.A clock shows 2:27. What time will it show 58 minutes later? (a) 4:25 (b) 3:35 (c) 3:25 (d) 3:15
  18. 18.A clock shows 12:29. What time will it show 14 minutes later? (a) 12:33 (b) 12:43 (c) 12:53 (d) 1:43
  19. 19.How many degrees does the minute hand of a clock turn in 10 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:19? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 39 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 159 minutes? =
  23. 23.A clock shows 2:05. What time will it show 23 minutes later? (a) 2:18 (b) 3:28 (c) 2:38 (d) 2:28
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 53 minutes? =
  27. 27.How many degrees does the minute hand of a clock turn in 41 minutes? =
  28. 28.A clock shows 9:25. What time will it show 128 minutes later? (a) 11:43 (b) 11:33 (c) 11:23 (d) 12:33
  29. 29.How many degrees does the minute hand of a clock turn in 57 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 49 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 55 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 3:14? (in degrees) =
  35. 35.A clock shows 10:14. What time will it show 125 minutes later? (a) 12:09 (b) 12:29 (c) 12:19 (d) 1:19
  36. 36.A clock shows 6:14. What time will it show 43 minutes later? (a) 6:47 (b) 7:57 (c) 6:57 (d) 7:07
  37. 37.How many degrees does the hour hand of a clock turn in 11 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 3 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  40. 40.A clock shows 5:46. What time will it show 125 minutes later? (a) 7:41 (b) 8:51 (c) 7:51 (d) 8:01

Answer key

  1. 6:46
  2. 1:42
  3. 148
  4. 81.5
  5. 5:27
  6. 113
  7. 137
  8. 83.5
  9. 144
  10. 22
  11. 77.5
  12. 36.5
  13. 110.5
  14. 76
  15. 6:01
  16. 3:25
  17. 3:25
  18. 12:43
  19. 60
  20. 45.5
  21. 234
  22. 79.5
  23. 2:28
  24. 20
  25. 60
  26. 26.5
  27. 246
  28. 11:33
  29. 342
  30. 160.5
  31. 294
  32. 330
  33. 4
  34. 13
  35. 12:19
  36. 6:57
  37. 5.5
  38. 18
  39. 126.5
  40. 7:51

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