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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 931 · 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.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 135 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 126 minutes? =
  5. 5.A clock shows 11:32. What time will it show 130 minutes later? (a) 1:32 (b) 1:42 (c) 1:52 (d) 2:42
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:37? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 36 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 54 minutes? =
  9. 9.A clock shows 10:14. What time will it show 163 minutes later? (a) 12:47 (b) 1:57 (c) 1:07 (d) 12:57
  10. 10.How many degrees does the minute hand of a clock turn in 32 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 11 minutes? =
  13. 13.A clock shows 6:28. What time will it show 63 minutes later? (a) 7:21 (b) 7:41 (c) 8:31 (d) 7:31
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  15. 15.A clock shows 4:39. What time will it show 135 minutes later? (a) 7:54 (b) 6:44 (c) 7:04 (d) 6:54
  16. 16.A clock shows 11:17. What time will it show 139 minutes later? (a) 1:36 (b) 2:36 (c) 1:26 (d) 1:46
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:27? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  21. 21.A clock shows 1:34. What time will it show 50 minutes later? (a) 2:34 (b) 2:24 (c) 2:14 (d) 3:24
  22. 22.A clock shows 10:33. What time will it show 167 minutes later? (a) 2:20 (b) 1:10 (c) 1:20 (d) 1:30
  23. 23.A clock shows 1:59. What time will it show 92 minutes later? (a) 3:41 (b) 3:21 (c) 4:31 (d) 3:31
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:13? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 57 minutes? =
  26. 26.A clock shows 4:06. What time will it show 128 minutes later? (a) 7:14 (b) 6:24 (c) 6:04 (d) 6:14
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 146 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 38 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 3:08? (in degrees) =
  31. 31.A clock shows 6:06. What time will it show 46 minutes later? (a) 7:52 (b) 6:42 (c) 6:52 (d) 7:02
  32. 32.How many degrees does the minute hand of a clock turn in 46 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:08? (in degrees) =
  34. 34.A clock shows 4:13. What time will it show 118 minutes later? (a) 6:01 (b) 6:21 (c) 7:11 (d) 6:11
  35. 35.How many degrees does the hour hand of a clock turn in 138 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 7 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 112 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:50? (in degrees) =
  40. 40.A clock shows 4:12. What time will it show 158 minutes later? (a) 6:50 (b) 7:00 (c) 7:50 (d) 6:40

Answer key

  1. 3.5
  2. 4
  3. 67.5
  4. 63
  5. 1:42
  6. 156.5
  7. 216
  8. 27
  9. 12:57
  10. 192
  11. 5.5
  12. 66
  13. 7:31
  14. 73.5
  15. 6:54
  16. 1:36
  17. 10
  18. 148.5
  19. 110
  20. 108
  21. 2:24
  22. 1:20
  23. 3:31
  24. 108.5
  25. 342
  26. 6:14
  27. 83.5
  28. 73
  29. 19
  30. 46
  31. 6:52
  32. 276
  33. 104
  34. 6:11
  35. 69
  36. 46.5
  37. 42
  38. 56
  39. 95
  40. 6:50

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