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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 247 · 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.What is the smaller angle between the hour hand and the minute hand at 6:39? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  3. 3.A clock shows 4:46. What time will it show 160 minutes later? (a) 7:16 (b) 7:36 (c) 7:26 (d) 8:26
  4. 4.What is the smaller angle between the hour hand and the minute hand at 10:07? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 91 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 156 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 121 minutes? =
  10. 10.A clock shows 2:54. What time will it show 12 minutes later? (a) 2:56 (b) 3:16 (c) 3:06 (d) 4:06
  11. 11.How many degrees does the hour hand of a clock turn in 52 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 5 minutes? =
  13. 13.A clock shows 8:56. What time will it show 47 minutes later? (a) 10:43 (b) 9:53 (c) 9:43 (d) 9:33
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:31? (in degrees) =
  16. 16.A clock shows 4:03. What time will it show 116 minutes later? (a) 5:49 (b) 5:59 (c) 6:09 (d) 6:59
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:56? (in degrees) =
  18. 18.How many degrees does the minute hand of a clock turn in 48 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  21. 21.A clock shows 8:58. What time will it show 46 minutes later? (a) 9:44 (b) 9:54 (c) 10:44 (d) 9:34
  22. 22.What is the smaller angle between the hour hand and the minute hand at 6:25? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.A clock shows 6:49. What time will it show 122 minutes later? (a) 8:41 (b) 8:51 (c) 9:01 (d) 9:51
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 41 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 14 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  31. 31.A clock shows 8:23. What time will it show 31 minutes later? (a) 9:54 (b) 8:44 (c) 8:54 (d) 9:04
  32. 32.How many degrees does the minute hand of a clock turn in 29 minutes? =
  33. 33.A clock shows 2:51. What time will it show 114 minutes later? (a) 4:35 (b) 5:45 (c) 4:45 (d) 4:55
  34. 34.A clock shows 11:56. What time will it show 89 minutes later? (a) 2:25 (b) 1:35 (c) 1:15 (d) 1:25
  35. 35.A clock shows 12:46. What time will it show 17 minutes later? (a) 1:13 (b) 12:53 (c) 1:03 (d) 2:03
  36. 36.How many degrees does the hour hand of a clock turn in 158 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 101 minutes? =
  38. 38.A clock shows 12:21. What time will it show 87 minutes later? (a) 1:58 (b) 2:48 (c) 1:48 (d) 1:38
  39. 39.A clock shows 12:51. What time will it show 119 minutes later? (a) 3:50 (b) 3:00 (c) 2:50 (d) 2:40
  40. 40.A clock shows 5:01. What time will it show 88 minutes later? (a) 7:29 (b) 6:19 (c) 6:29 (d) 6:39

Answer key

  1. 34.5
  2. 31
  3. 7:26
  4. 98.5
  5. 45.5
  6. 78
  7. 55
  8. 114
  9. 60.5
  10. 3:06
  11. 26
  12. 30
  13. 9:43
  14. 100
  15. 50.5
  16. 5:59
  17. 172
  18. 288
  19. 101
  20. 76.5
  21. 9:44
  22. 42.5
  23. 118
  24. 128
  25. 210
  26. 8:51
  27. 169
  28. 246
  29. 84
  30. 35.5
  31. 8:54
  32. 174
  33. 4:45
  34. 1:25
  35. 1:03
  36. 79
  37. 50.5
  38. 1:48
  39. 2:50
  40. 6:29

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