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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 726 · 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 6:50? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:53? (in degrees) =
  3. 3.A clock shows 7:38. What time will it show 75 minutes later? (a) 9:03 (b) 9:53 (c) 8:53 (d) 8:43
  4. 4.How many degrees does the hour hand of a clock turn in 146 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 52 minutes? =
  6. 6.A clock shows 6:30. What time will it show 41 minutes later? (a) 7:01 (b) 7:11 (c) 7:21 (d) 8:11
  7. 7.How many degrees does the hour hand of a clock turn in 72 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 36 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 25 minutes? =
  11. 11.A clock shows 3:32. What time will it show 51 minutes later? (a) 4:13 (b) 4:23 (c) 5:23 (d) 4:33
  12. 12.A clock shows 8:35. What time will it show 22 minutes later? (a) 8:57 (b) 9:57 (c) 9:07 (d) 8:47
  13. 13.What is the smaller angle between the hour hand and the minute hand at 5:06? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:43? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 122 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  18. 18.A clock shows 7:55. What time will it show 48 minutes later? (a) 8:33 (b) 8:43 (c) 9:43 (d) 8:53
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 46 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:21? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 53 minutes? =
  25. 25.A clock shows 4:11. What time will it show 87 minutes later? (a) 6:38 (b) 5:28 (c) 5:38 (d) 5:48
  26. 26.A clock shows 1:43. What time will it show 141 minutes later? (a) 3:54 (b) 4:04 (c) 4:14 (d) 5:04
  27. 27.A clock shows 3:11. What time will it show 44 minutes later? (a) 3:45 (b) 4:05 (c) 4:55 (d) 3:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:53? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:39? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 26 minutes? =
  35. 35.A clock shows 8:07. What time will it show 117 minutes later? (a) 10:04 (b) 11:04 (c) 9:54 (d) 10:14
  36. 36.A clock shows 6:50. What time will it show 147 minutes later? (a) 9:27 (b) 9:17 (c) 10:17 (d) 9:07
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:07? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 26 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  40. 40.A clock shows 3:38. What time will it show 52 minutes later? (a) 4:20 (b) 5:30 (c) 4:40 (d) 4:30

Answer key

  1. 95
  2. 21.5
  3. 8:53
  4. 73
  5. 26
  6. 7:11
  7. 36
  8. 216
  9. 165.5
  10. 150
  11. 4:23
  12. 8:57
  13. 117
  14. 153.5
  15. 61
  16. 24
  17. 72
  18. 8:43
  19. 94.5
  20. 276
  21. 14
  22. 25.5
  23. 125
  24. 318
  25. 5:38
  26. 4:04
  27. 3:55
  28. 133
  29. 85.5
  30. 141.5
  31. 128
  32. 162.5
  33. 4.5
  34. 156
  35. 10:04
  36. 9:17
  37. 81.5
  38. 13
  39. 10
  40. 4:30

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