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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 932 · 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 9:01. What time will it show 97 minutes later? (a) 11:38 (b) 10:38 (c) 10:48 (d) 10:28
  2. 2.A clock shows 10:40. What time will it show 75 minutes later? (a) 12:05 (b) 12:55 (c) 11:55 (d) 11:45
  3. 3.How many degrees does the minute hand of a clock turn in 9 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 12 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:17? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 33 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 18 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 53 minutes? =
  12. 12.A clock shows 6:48. What time will it show 16 minutes later? (a) 7:04 (b) 6:54 (c) 7:14 (d) 8:04
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 28 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 12 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:14? (in degrees) =
  17. 17.How many degrees does the minute hand of a clock turn in 22 minutes? =
  18. 18.A clock shows 12:03. What time will it show 105 minutes later? (a) 1:48 (b) 2:48 (c) 1:38 (d) 1:58
  19. 19.How many degrees does the minute hand of a clock turn in 19 minutes? =
  20. 20.A clock shows 4:29. What time will it show 123 minutes later? (a) 7:32 (b) 6:22 (c) 6:32 (d) 6:42
  21. 21.How many degrees does the hour hand of a clock turn in 100 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:39? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 113 minutes? =
  25. 25.A clock shows 10:31. What time will it show 156 minutes later? (a) 2:07 (b) 12:57 (c) 1:07 (d) 1:17
  26. 26.How many degrees does the minute hand of a clock turn in 15 minutes? =
  27. 27.A clock shows 11:51. What time will it show 70 minutes later? (a) 1:01 (b) 2:01 (c) 12:51 (d) 1:11
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:09? (in degrees) =
  29. 29.A clock shows 7:21. What time will it show 146 minutes later? (a) 9:37 (b) 9:57 (c) 10:47 (d) 9:47
  30. 30.A clock shows 12:02. What time will it show 156 minutes later? (a) 2:28 (b) 2:48 (c) 3:38 (d) 2:38
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  32. 32.A clock shows 1:14. What time will it show 15 minutes later? (a) 1:29 (b) 2:29 (c) 1:19 (d) 1:39
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:53? (in degrees) =
  34. 34.A clock shows 11:48. What time will it show 129 minutes later? (a) 1:47 (b) 2:07 (c) 2:57 (d) 1:57
  35. 35.How many degrees does the hour hand of a clock turn in 42 minutes? =
  36. 36.A clock shows 9:33. What time will it show 70 minutes later? (a) 10:33 (b) 10:43 (c) 11:43 (d) 10:53
  37. 37.How many degrees does the hour hand of a clock turn in 45 minutes? =
  38. 38.A clock shows 2:05. What time will it show 17 minutes later? (a) 2:12 (b) 2:22 (c) 2:32 (d) 3:22
  39. 39.A clock shows 2:33. What time will it show 33 minutes later? (a) 3:16 (b) 3:06 (c) 2:56 (d) 4:06
  40. 40.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =

Answer key

  1. 10:38
  2. 11:55
  3. 54
  4. 6
  5. 98
  6. 93.5
  7. 198
  8. 179
  9. 9
  10. 154
  11. 26.5
  12. 7:04
  13. 147.5
  14. 168
  15. 72
  16. 103
  17. 132
  18. 1:48
  19. 114
  20. 6:32
  21. 50
  22. 129.5
  23. 85.5
  24. 56.5
  25. 1:07
  26. 90
  27. 1:01
  28. 169.5
  29. 9:47
  30. 2:38
  31. 142.5
  32. 1:29
  33. 38.5
  34. 1:57
  35. 21
  36. 10:43
  37. 22.5
  38. 2:22
  39. 3:06
  40. 136.5

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