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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 124 · 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 34 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  3. 3.A clock shows 3:33. What time will it show 126 minutes later? (a) 6:39 (b) 5:29 (c) 5:49 (d) 5:39
  4. 4.How many degrees does the minute hand of a clock turn in 54 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 38 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 7:04? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:31? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 104 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 46 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 76 minutes? =
  13. 13.A clock shows 6:08. What time will it show 17 minutes later? (a) 6:35 (b) 6:25 (c) 6:15 (d) 7:25
  14. 14.What is the smaller angle between the hour hand and the minute hand at 11:48? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 42 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  18. 18.A clock shows 4:48. What time will it show 69 minutes later? (a) 6:57 (b) 6:07 (c) 5:47 (d) 5:57
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:56? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 2 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 178 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 32 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  25. 25.A clock shows 4:18. What time will it show 29 minutes later? (a) 4:57 (b) 5:47 (c) 4:37 (d) 4:47
  26. 26.A clock shows 4:03. What time will it show 147 minutes later? (a) 6:30 (b) 6:40 (c) 6:20 (d) 7:30
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:13? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:51? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 36 minutes? =
  31. 31.A clock shows 10:17. What time will it show 96 minutes later? (a) 12:03 (b) 12:53 (c) 11:53 (d) 11:43
  32. 32.How many degrees does the hour hand of a clock turn in 127 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 14 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 168 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 169 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  37. 37.A clock shows 5:13. What time will it show 21 minutes later? (a) 5:34 (b) 6:34 (c) 5:44 (d) 5:24
  38. 38.How many degrees does the hour hand of a clock turn in 174 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 163 minutes? =
  40. 40.A clock shows 5:32. What time will it show 23 minutes later? (a) 6:05 (b) 5:55 (c) 6:55 (d) 5:45

Answer key

  1. 204
  2. 123
  3. 5:39
  4. 324
  5. 228
  6. 172
  7. 69.5
  8. 54
  9. 52
  10. 276
  11. 120.5
  12. 38
  13. 6:25
  14. 66
  15. 252
  16. 64.5
  17. 167
  18. 5:57
  19. 22
  20. 12
  21. 87
  22. 89
  23. 192
  24. 64
  25. 4:47
  26. 6:30
  27. 41.5
  28. 139.5
  29. 24.5
  30. 216
  31. 11:53
  32. 63.5
  33. 84
  34. 84
  35. 84.5
  36. 157.5
  37. 5:34
  38. 87
  39. 81.5
  40. 5:55

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