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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 587 · 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 4:09. What time will it show 30 minutes later? (a) 4:49 (b) 5:39 (c) 4:39 (d) 4:29
  2. 2.How many degrees does the hour hand of a clock turn in 57 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:09? (in degrees) =
  7. 7.A clock shows 5:04. What time will it show 26 minutes later? (a) 5:40 (b) 6:30 (c) 5:20 (d) 5:30
  8. 8.A clock shows 4:08. What time will it show 111 minutes later? (a) 5:59 (b) 5:49 (c) 6:09 (d) 6:59
  9. 9.A clock shows 2:43. What time will it show 152 minutes later? (a) 5:15 (b) 5:25 (c) 6:15 (d) 5:05
  10. 10.A clock shows 1:25. What time will it show 58 minutes later? (a) 2:23 (b) 3:23 (c) 2:33 (d) 2:13
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  13. 13.A clock shows 2:59. What time will it show 163 minutes later? (a) 5:52 (b) 5:32 (c) 6:42 (d) 5:42
  14. 14.A clock shows 10:35. What time will it show 157 minutes later? (a) 2:12 (b) 1:02 (c) 1:22 (d) 1:12
  15. 15.A clock shows 3:55. What time will it show 132 minutes later? (a) 6:07 (b) 6:17 (c) 7:07 (d) 5:57
  16. 16.How many degrees does the minute hand of a clock turn in 12 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 73 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 159 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 28 minutes? =
  20. 20.A clock shows 3:55. What time will it show 123 minutes later? (a) 6:08 (b) 6:58 (c) 5:48 (d) 5:58
  21. 21.How many degrees does the minute hand of a clock turn in 35 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  23. 23.A clock shows 5:16. What time will it show 76 minutes later? (a) 6:32 (b) 6:22 (c) 6:42 (d) 7:32
  24. 24.A clock shows 8:02. What time will it show 20 minutes later? (a) 8:22 (b) 8:32 (c) 8:12 (d) 9:22
  25. 25.How many degrees does the minute hand of a clock turn in 2 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 109 minutes? =
  27. 27.A clock shows 2:27. What time will it show 155 minutes later? (a) 5:02 (b) 4:52 (c) 6:02 (d) 5:12
  28. 28.How many degrees does the hour hand of a clock turn in 27 minutes? =
  29. 29.A clock shows 12:19. What time will it show 42 minutes later? (a) 1:01 (b) 2:01 (c) 1:11 (d) 12:51
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  31. 31.A clock shows 5:31. What time will it show 134 minutes later? (a) 7:55 (b) 8:45 (c) 7:35 (d) 7:45
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  33. 33.A clock shows 11:25. What time will it show 162 minutes later? (a) 2:17 (b) 2:07 (c) 3:07 (d) 1:57
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  35. 35.A clock shows 3:14. What time will it show 29 minutes later? (a) 3:43 (b) 3:53 (c) 3:33 (d) 4:43
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  37. 37.A clock shows 2:41. What time will it show 163 minutes later? (a) 5:14 (b) 6:24 (c) 5:24 (d) 5:34
  38. 38.A clock shows 2:38. What time will it show 34 minutes later? (a) 3:12 (b) 3:22 (c) 4:12 (d) 3:02
  39. 39.A clock shows 4:23. What time will it show 130 minutes later? (a) 6:23 (b) 6:43 (c) 7:33 (d) 6:33
  40. 40.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =

Answer key

  1. 4:39
  2. 28.5
  3. 93.5
  4. 32.5
  5. 13.5
  6. 100.5
  7. 5:30
  8. 5:59
  9. 5:15
  10. 2:23
  11. 31
  12. 50
  13. 5:42
  14. 1:12
  15. 6:07
  16. 72
  17. 36.5
  18. 79.5
  19. 14
  20. 5:58
  21. 210
  22. 51.5
  23. 6:32
  24. 8:22
  25. 12
  26. 54.5
  27. 5:02
  28. 13.5
  29. 1:01
  30. 68
  31. 7:45
  32. 32.5
  33. 2:07
  34. 35.5
  35. 3:43
  36. 98.5
  37. 5:24
  38. 3:12
  39. 6:33
  40. 6

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