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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 758 · 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 6:15? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  3. 3.A clock shows 3:33. What time will it show 168 minutes later? (a) 7:21 (b) 6:21 (c) 6:11 (d) 6:31
  4. 4.How many degrees does the hour hand of a clock turn in 14 minutes? =
  5. 5.A clock shows 7:39. What time will it show 25 minutes later? (a) 8:14 (b) 8:04 (c) 7:54 (d) 9:04
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 113 minutes? =
  8. 8.A clock shows 5:45. What time will it show 75 minutes later? (a) 7:10 (b) 6:50 (c) 8:00 (d) 7:00
  9. 9.A clock shows 7:54. What time will it show 137 minutes later? (a) 11:11 (b) 10:11 (c) 10:01 (d) 10:21
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  11. 11.A clock shows 12:44. What time will it show 143 minutes later? (a) 2:57 (b) 3:17 (c) 3:07 (d) 4:07
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:43? (in degrees) =
  14. 14.A clock shows 5:32. What time will it show 31 minutes later? (a) 6:03 (b) 6:13 (c) 7:03 (d) 5:53
  15. 15.A clock shows 7:12. What time will it show 131 minutes later? (a) 9:23 (b) 9:13 (c) 9:33 (d) 10:23
  16. 16.A clock shows 9:48. What time will it show 151 minutes later? (a) 12:19 (b) 12:29 (c) 1:19 (d) 12:09
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:05? (in degrees) =
  18. 18.How many degrees does the hour hand of a clock turn in 15 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:35? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 25 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 43 minutes? =
  22. 22.A clock shows 4:31. What time will it show 118 minutes later? (a) 6:29 (b) 6:19 (c) 7:29 (d) 6:39
  23. 23.A clock shows 12:03. What time will it show 76 minutes later? (a) 2:19 (b) 1:09 (c) 1:19 (d) 1:29
  24. 24.How many degrees does the minute hand of a clock turn in 47 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 29 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 20 minutes? =
  32. 32.A clock shows 5:37. What time will it show 126 minutes later? (a) 7:33 (b) 8:43 (c) 7:53 (d) 7:43
  33. 33.How many degrees does the minute hand of a clock turn in 9 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 4 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:53? (in degrees) =
  38. 38.A clock shows 2:00. What time will it show 40 minutes later? (a) 2:30 (b) 3:40 (c) 2:40 (d) 2:50
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  40. 40.A clock shows 5:31. What time will it show 45 minutes later? (a) 6:26 (b) 6:16 (c) 7:16 (d) 6:06

Answer key

  1. 97.5
  2. 144.5
  3. 6:21
  4. 7
  5. 8:04
  6. 118
  7. 56.5
  8. 7:00
  9. 10:11
  10. 39
  11. 3:07
  12. 176
  13. 3.5
  14. 6:03
  15. 9:23
  16. 12:19
  17. 62.5
  18. 7.5
  19. 107.5
  20. 150
  21. 258
  22. 6:29
  23. 1:19
  24. 282
  25. 43
  26. 133.5
  27. 172.5
  28. 67
  29. 174
  30. 18
  31. 120
  32. 7:43
  33. 54
  34. 180
  35. 19
  36. 24
  37. 81.5
  38. 2:40
  39. 155.5
  40. 6:16

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