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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 525 · 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 3:03? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 4:16? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 55 minutes? =
  4. 4.A clock shows 5:34. What time will it show 85 minutes later? (a) 6:59 (b) 7:09 (c) 6:49 (d) 7:59
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:18? (in degrees) =
  6. 6.A clock shows 11:44. What time will it show 144 minutes later? (a) 2:18 (b) 2:08 (c) 1:58 (d) 3:08
  7. 7.A clock shows 1:42. What time will it show 111 minutes later? (a) 4:33 (b) 3:43 (c) 3:33 (d) 3:23
  8. 8.A clock shows 2:37. What time will it show 133 minutes later? (a) 4:40 (b) 4:50 (c) 5:00 (d) 5:50
  9. 9.A clock shows 1:16. What time will it show 112 minutes later? (a) 4:08 (b) 3:08 (c) 2:58 (d) 3:18
  10. 10.A clock shows 8:15. What time will it show 53 minutes later? (a) 9:08 (b) 10:08 (c) 8:58 (d) 9:18
  11. 11.A clock shows 9:37. What time will it show 133 minutes later? (a) 12:00 (b) 11:50 (c) 12:50 (d) 11:40
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:28? (in degrees) =
  13. 13.A clock shows 9:28. What time will it show 79 minutes later? (a) 10:57 (b) 10:37 (c) 10:47 (d) 11:47
  14. 14.A clock shows 3:13. What time will it show 94 minutes later? (a) 4:57 (b) 5:47 (c) 4:37 (d) 4:47
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:15? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 65 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:02? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 66 minutes? =
  23. 23.A clock shows 10:18. What time will it show 111 minutes later? (a) 1:09 (b) 12:19 (c) 11:59 (d) 12:09
  24. 24.How many degrees does the hour hand of a clock turn in 93 minutes? =
  25. 25.A clock shows 9:04. What time will it show 154 minutes later? (a) 12:38 (b) 11:38 (c) 11:28 (d) 11:48
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:59? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  28. 28.A clock shows 12:36. What time will it show 40 minutes later? (a) 2:16 (b) 1:26 (c) 1:06 (d) 1:16
  29. 29.A clock shows 5:27. What time will it show 136 minutes later? (a) 7:33 (b) 7:53 (c) 8:43 (d) 7:43
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 38 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:45? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:54? (in degrees) =
  34. 34.A clock shows 10:03. What time will it show 112 minutes later? (a) 11:45 (b) 11:55 (c) 12:55 (d) 12:05
  35. 35.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:36? (in degrees) =
  38. 38.How many degrees does the hour hand of a clock turn in 143 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 36 minutes? =
  40. 40.A clock shows 3:42. What time will it show 53 minutes later? (a) 4:25 (b) 4:45 (c) 4:35 (d) 5:35

Answer key

  1. 73.5
  2. 32
  3. 330
  4. 6:59
  5. 171
  6. 2:08
  7. 3:33
  8. 4:50
  9. 3:08
  10. 9:08
  11. 11:50
  12. 116
  13. 10:47
  14. 4:47
  15. 27.5
  16. 105
  17. 82.5
  18. 31.5
  19. 32.5
  20. 32.5
  21. 11
  22. 33
  23. 12:09
  24. 46.5
  25. 11:38
  26. 174.5
  27. 179
  28. 1:16
  29. 7:43
  30. 61.5
  31. 228
  32. 52.5
  33. 123
  34. 11:55
  35. 118
  36. 126.5
  37. 162
  38. 71.5
  39. 216
  40. 4:35

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