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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 975 · 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 hour hand of a clock turn in 71 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:03? (in degrees) =
  3. 3.A clock shows 4:51. What time will it show 147 minutes later? (a) 7:08 (b) 8:18 (c) 7:28 (d) 7:18
  4. 4.What is the smaller angle between the hour hand and the minute hand at 12:12? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 127 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 34 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 40 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  11. 11.A clock shows 1:43. What time will it show 40 minutes later? (a) 2:13 (b) 2:33 (c) 3:23 (d) 2:23
  12. 12.How many degrees does the minute hand of a clock turn in 57 minutes? =
  13. 13.A clock shows 1:56. What time will it show 156 minutes later? (a) 5:32 (b) 4:22 (c) 4:32 (d) 4:42
  14. 14.How many degrees does the minute hand of a clock turn in 48 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:00? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 54 minutes? =
  17. 17.A clock shows 11:07. What time will it show 109 minutes later? (a) 1:56 (b) 12:46 (c) 12:56 (d) 1:06
  18. 18.A clock shows 2:22. What time will it show 33 minutes later? (a) 2:55 (b) 2:45 (c) 3:55 (d) 3:05
  19. 19.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 45 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  22. 22.A clock shows 12:40. What time will it show 40 minutes later? (a) 1:30 (b) 2:20 (c) 1:10 (d) 1:20
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  24. 24.A clock shows 9:40. What time will it show 65 minutes later? (a) 10:45 (b) 10:55 (c) 10:35 (d) 11:45
  25. 25.What is the smaller angle between the hour hand and the minute hand at 7:41? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  28. 28.A clock shows 11:41. What time will it show 66 minutes later? (a) 12:57 (b) 12:37 (c) 1:47 (d) 12:47
  29. 29.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:32? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 46 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  36. 36.A clock shows 9:07. What time will it show 76 minutes later? (a) 10:23 (b) 11:23 (c) 10:33 (d) 10:13
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  38. 38.A clock shows 3:56. What time will it show 67 minutes later? (a) 6:03 (b) 5:03 (c) 5:13 (d) 4:53
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  40. 40.A clock shows 12:31. What time will it show 50 minutes later? (a) 1:21 (b) 1:31 (c) 2:21 (d) 1:11

Answer key

  1. 35.5
  2. 46.5
  3. 7:18
  4. 66
  5. 20
  6. 114.5
  7. 63.5
  8. 204
  9. 20
  10. 162
  11. 2:23
  12. 342
  13. 4:32
  14. 288
  15. 60
  16. 324
  17. 12:56
  18. 2:55
  19. 42
  20. 22.5
  21. 131
  22. 1:20
  23. 101
  24. 10:45
  25. 15.5
  26. 80
  27. 136
  28. 12:47
  29. 105
  30. 116
  31. 90
  32. 106.5
  33. 47
  34. 276
  35. 83.5
  36. 10:23
  37. 17.5
  38. 5:03
  39. 61
  40. 1:21

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