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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 176 · 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 9:58. What time will it show 119 minutes later? (a) 11:47 (b) 12:07 (c) 11:57 (d) 12:57
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:29? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  4. 4.How many degrees does the hour hand of a clock turn in 28 minutes? =
  5. 5.A clock shows 4:29. What time will it show 100 minutes later? (a) 6:09 (b) 7:09 (c) 5:59 (d) 6:19
  6. 6.How many degrees does the minute hand of a clock turn in 56 minutes? =
  7. 7.How many degrees does the minute hand of a clock turn in 20 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  10. 10.A clock shows 4:51. What time will it show 77 minutes later? (a) 6:08 (b) 5:58 (c) 6:18 (d) 7:08
  11. 11.A clock shows 4:35. What time will it show 156 minutes later? (a) 7:01 (b) 7:11 (c) 7:21 (d) 8:11
  12. 12.How many degrees does the hour hand of a clock turn in 29 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 24 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:30? (in degrees) =
  15. 15.A clock shows 8:12. What time will it show 72 minutes later? (a) 9:34 (b) 9:14 (c) 9:24 (d) 10:24
  16. 16.A clock shows 3:37. What time will it show 43 minutes later? (a) 4:20 (b) 4:10 (c) 4:30 (d) 5:20
  17. 17.How many degrees does the minute hand of a clock turn in 42 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 29 minutes? =
  19. 19.A clock shows 8:45. What time will it show 133 minutes later? (a) 11:08 (b) 10:48 (c) 10:58 (d) 11:58
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:04? (in degrees) =
  21. 21.A clock shows 12:18. What time will it show 115 minutes later? (a) 2:23 (b) 2:03 (c) 3:13 (d) 2:13
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  23. 23.A clock shows 4:57. What time will it show 37 minutes later? (a) 5:44 (b) 5:34 (c) 6:34 (d) 5:24
  24. 24.A clock shows 8:26. What time will it show 85 minutes later? (a) 10:01 (b) 9:41 (c) 10:51 (d) 9:51
  25. 25.A clock shows 8:39. What time will it show 36 minutes later? (a) 9:15 (b) 9:05 (c) 9:25 (d) 10:15
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  29. 29.A clock shows 8:03. What time will it show 162 minutes later? (a) 11:45 (b) 10:55 (c) 10:35 (d) 10:45
  30. 30.A clock shows 8:59. What time will it show 160 minutes later? (a) 11:29 (b) 12:39 (c) 11:39 (d) 11:49
  31. 31.A clock shows 6:57. What time will it show 96 minutes later? (a) 8:33 (b) 9:33 (c) 8:23 (d) 8:43
  32. 32.A clock shows 10:38. What time will it show 133 minutes later? (a) 1:01 (b) 12:51 (c) 12:41 (d) 1:51
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:58? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  35. 35.A clock shows 4:26. What time will it show 30 minutes later? (a) 5:06 (b) 5:56 (c) 4:56 (d) 4:46
  36. 36.A clock shows 11:47. What time will it show 76 minutes later? (a) 12:53 (b) 1:13 (c) 2:03 (d) 1:03
  37. 37.What is the smaller angle between the hour hand and the minute hand at 12:53? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 30 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  40. 40.A clock shows 4:49. What time will it show 68 minutes later? (a) 5:47 (b) 6:07 (c) 5:57 (d) 6:57

Answer key

  1. 11:57
  2. 9.5
  3. 27.5
  4. 14
  5. 6:09
  6. 336
  7. 120
  8. 132
  9. 13
  10. 6:08
  11. 7:11
  12. 14.5
  13. 12
  14. 15
  15. 9:24
  16. 4:20
  17. 252
  18. 174
  19. 10:58
  20. 8
  21. 2:13
  22. 36
  23. 5:34
  24. 9:51
  25. 9:15
  26. 47
  27. 32
  28. 33.5
  29. 10:45
  30. 11:39
  31. 8:33
  32. 12:51
  33. 71
  34. 37
  35. 4:56
  36. 1:03
  37. 68.5
  38. 180
  39. 44
  40. 5:57

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