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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 835 · 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 3:33? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 43 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 10:46? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 18 minutes? =
  8. 8.A clock shows 5:43. What time will it show 121 minutes later? (a) 8:44 (b) 7:34 (c) 7:44 (d) 7:54
  9. 9.A clock shows 3:51. What time will it show 170 minutes later? (a) 6:31 (b) 6:51 (c) 6:41 (d) 7:41
  10. 10.A clock shows 6:07. What time will it show 56 minutes later? (a) 7:03 (b) 6:53 (c) 8:03 (d) 7:13
  11. 11.A clock shows 5:26. What time will it show 165 minutes later? (a) 9:11 (b) 8:11 (c) 8:21 (d) 8:01
  12. 12.A clock shows 3:14. What time will it show 10 minutes later? (a) 3:24 (b) 4:24 (c) 3:14 (d) 3:34
  13. 13.A clock shows 4:01. What time will it show 83 minutes later? (a) 6:24 (b) 5:14 (c) 5:34 (d) 5:24
  14. 14.A clock shows 6:38. What time will it show 124 minutes later? (a) 8:52 (b) 8:42 (c) 9:42 (d) 8:32
  15. 15.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  17. 17.A clock shows 9:35. What time will it show 36 minutes later? (a) 11:11 (b) 10:01 (c) 10:11 (d) 10:21
  18. 18.A clock shows 10:54. What time will it show 156 minutes later? (a) 1:40 (b) 1:20 (c) 2:30 (d) 1:30
  19. 19.What is the smaller angle between the hour hand and the minute hand at 7:29? (in degrees) =
  20. 20.A clock shows 3:23. What time will it show 166 minutes later? (a) 5:59 (b) 7:09 (c) 6:09 (d) 6:19
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 11 minutes? =
  27. 27.A clock shows 12:15. What time will it show 30 minutes later? (a) 12:45 (b) 12:55 (c) 1:45 (d) 12:35
  28. 28.A clock shows 2:43. What time will it show 81 minutes later? (a) 3:54 (b) 4:14 (c) 4:04 (d) 5:04
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:58? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 156 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 66 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 140 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 19 minutes? =
  34. 34.A clock shows 1:36. What time will it show 96 minutes later? (a) 3:22 (b) 3:02 (c) 3:12 (d) 4:12
  35. 35.How many degrees does the hour hand of a clock turn in 177 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 16 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 124 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 149 minutes? =

Answer key

  1. 91.5
  2. 1
  3. 112
  4. 169.5
  5. 258
  6. 47
  7. 108
  8. 7:44
  9. 6:41
  10. 7:03
  11. 8:11
  12. 3:24
  13. 5:24
  14. 8:42
  15. 119.5
  16. 65
  17. 10:11
  18. 1:30
  19. 50.5
  20. 6:09
  21. 81.5
  22. 18
  23. 35.5
  24. 144.5
  25. 147
  26. 66
  27. 12:45
  28. 4:04
  29. 49
  30. 78
  31. 33
  32. 70
  33. 114
  34. 3:12
  35. 88.5
  36. 40
  37. 127
  38. 96
  39. 62
  40. 74.5

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