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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 949 · 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 3:26. What time will it show 152 minutes later? (a) 6:58 (b) 5:58 (c) 5:48 (d) 6:08
  2. 2.A clock shows 5:18. What time will it show 159 minutes later? (a) 8:57 (b) 8:07 (c) 7:47 (d) 7:57
  3. 3.A clock shows 10:24. What time will it show 136 minutes later? (a) 1:40 (b) 12:50 (c) 12:30 (d) 12:40
  4. 4.A clock shows 2:08. What time will it show 144 minutes later? (a) 4:32 (b) 5:32 (c) 4:22 (d) 4:42
  5. 5.A clock shows 8:27. What time will it show 135 minutes later? (a) 10:32 (b) 11:42 (c) 10:52 (d) 10:42
  6. 6.A clock shows 3:09. What time will it show 74 minutes later? (a) 4:33 (b) 4:13 (c) 5:23 (d) 4:23
  7. 7.How many degrees does the hour hand of a clock turn in 41 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 122 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 48 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 93 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:46? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 54 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  15. 15.A clock shows 3:51. What time will it show 24 minutes later? (a) 4:05 (b) 5:15 (c) 4:15 (d) 4:25
  16. 16.How many degrees does the hour hand of a clock turn in 42 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:02? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:54? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 3 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.A clock shows 9:14. What time will it show 70 minutes later? (a) 10:14 (b) 10:34 (c) 11:24 (d) 10:24
  23. 23.How many degrees does the minute hand of a clock turn in 2 minutes? =
  24. 24.A clock shows 3:10. What time will it show 128 minutes later? (a) 5:18 (b) 6:18 (c) 5:28 (d) 5:08
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:31? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 24 minutes? =
  28. 28.A clock shows 4:29. What time will it show 158 minutes later? (a) 7:17 (b) 6:57 (c) 8:07 (d) 7:07
  29. 29.A clock shows 11:16. What time will it show 30 minutes later? (a) 11:56 (b) 11:46 (c) 12:46 (d) 11:36
  30. 30.How many degrees does the minute hand of a clock turn in 56 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 27 minutes? =
  32. 32.A clock shows 3:49. What time will it show 114 minutes later? (a) 5:43 (b) 5:33 (c) 6:43 (d) 5:53
  33. 33.How many degrees does the hour hand of a clock turn in 171 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 20 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 13 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  40. 40.A clock shows 12:07. What time will it show 135 minutes later? (a) 3:22 (b) 2:12 (c) 2:22 (d) 2:32

Answer key

  1. 5:58
  2. 7:57
  3. 12:40
  4. 4:32
  5. 10:42
  6. 4:23
  7. 20.5
  8. 26.5
  9. 61
  10. 288
  11. 46.5
  12. 163
  13. 324
  14. 70.5
  15. 4:15
  16. 21
  17. 78
  18. 79
  19. 87
  20. 18
  21. 246
  22. 10:24
  23. 12
  24. 5:18
  25. 95.5
  26. 110.5
  27. 144
  28. 7:07
  29. 11:46
  30. 336
  31. 13.5
  32. 5:43
  33. 85.5
  34. 10
  35. 76.5
  36. 165.5
  37. 126.5
  38. 78
  39. 170.5
  40. 2:22

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