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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 8 · 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.A clock shows 3:32. What time will it show 121 minutes later? (a) 5:23 (b) 5:43 (c) 6:33 (d) 5:33
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 5:42? (in degrees) =
  4. 4.A clock shows 4:36. What time will it show 37 minutes later? (a) 5:03 (b) 5:13 (c) 5:23 (d) 6:13
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 44 minutes? =
  7. 7.A clock shows 7:31. What time will it show 36 minutes later? (a) 8:17 (b) 8:07 (c) 9:07 (d) 7:57
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 170 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 3:11? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 92 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 42 minutes? =
  13. 13.A clock shows 1:54. What time will it show 120 minutes later? (a) 4:54 (b) 4:04 (c) 3:54 (d) 3:44
  14. 14.A clock shows 1:09. What time will it show 38 minutes later? (a) 1:47 (b) 1:37 (c) 2:47 (d) 1:57
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  16. 16.A clock shows 7:54. What time will it show 81 minutes later? (a) 9:15 (b) 9:25 (c) 9:05 (d) 10:15
  17. 17.How many degrees does the hour hand of a clock turn in 135 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 59 minutes? =
  20. 20.A clock shows 1:43. What time will it show 89 minutes later? (a) 3:02 (b) 4:12 (c) 3:22 (d) 3:12
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:11? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:18? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 55 minutes? =
  27. 27.A clock shows 9:22. What time will it show 154 minutes later? (a) 11:46 (b) 12:56 (c) 12:06 (d) 11:56
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:55? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 106 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 136 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 33 minutes? =
  32. 32.A clock shows 5:35. What time will it show 60 minutes later? (a) 6:25 (b) 6:35 (c) 6:45 (d) 7:35
  33. 33.A clock shows 12:43. What time will it show 151 minutes later? (a) 3:04 (b) 3:24 (c) 4:14 (d) 3:14
  34. 34.A clock shows 8:37. What time will it show 18 minutes later? (a) 9:55 (b) 9:05 (c) 8:45 (d) 8:55
  35. 35.A clock shows 3:09. What time will it show 73 minutes later? (a) 4:32 (b) 4:22 (c) 4:12 (d) 5:22
  36. 36.A clock shows 2:05. What time will it show 74 minutes later? (a) 3:29 (b) 3:19 (c) 3:09 (d) 4:19
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:23? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =

Answer key

  1. 5:33
  2. 178
  3. 81
  4. 5:13
  5. 9.5
  6. 264
  7. 8:07
  8. 0.5
  9. 85
  10. 29.5
  11. 46
  12. 252
  13. 3:54
  14. 1:47
  15. 166.5
  16. 9:15
  17. 67.5
  18. 84
  19. 354
  20. 3:12
  21. 137
  22. 122.5
  23. 149.5
  24. 51
  25. 118
  26. 330
  27. 11:56
  28. 177.5
  29. 53
  30. 68
  31. 16.5
  32. 6:35
  33. 3:14
  34. 8:55
  35. 4:22
  36. 3:19
  37. 17
  38. 37
  39. 126.5
  40. 52

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