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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 500 · 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 7:04? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 29 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 44 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  6. 6.A clock shows 9:31. What time will it show 168 minutes later? (a) 1:19 (b) 12:29 (c) 12:19 (d) 12:09
  7. 7.A clock shows 9:14. What time will it show 128 minutes later? (a) 11:32 (b) 11:22 (c) 12:22 (d) 11:12
  8. 8.A clock shows 11:58. What time will it show 125 minutes later? (a) 2:13 (b) 2:03 (c) 3:03 (d) 1:53
  9. 9.How many degrees does the minute hand of a clock turn in 27 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 53 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 56 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  14. 14.A clock shows 3:50. What time will it show 170 minutes later? (a) 6:30 (b) 7:40 (c) 6:50 (d) 6:40
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 20 minutes? =
  18. 18.A clock shows 12:01. What time will it show 134 minutes later? (a) 3:15 (b) 2:05 (c) 2:25 (d) 2:15
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 49 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 58 minutes? =
  23. 23.A clock shows 11:03. What time will it show 47 minutes later? (a) 11:40 (b) 12:00 (c) 12:50 (d) 11:50
  24. 24.A clock shows 1:21. What time will it show 87 minutes later? (a) 2:38 (b) 3:48 (c) 2:58 (d) 2:48
  25. 25.A clock shows 8:08. What time will it show 78 minutes later? (a) 10:26 (b) 9:36 (c) 9:26 (d) 9:16
  26. 26.A clock shows 2:58. What time will it show 136 minutes later? (a) 5:04 (b) 6:14 (c) 5:14 (d) 5:24
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:41? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 43 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  31. 31.A clock shows 10:44. What time will it show 145 minutes later? (a) 1:19 (b) 1:09 (c) 2:09 (d) 12:59
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  34. 34.A clock shows 3:55. What time will it show 53 minutes later? (a) 5:48 (b) 4:48 (c) 4:38 (d) 4:58
  35. 35.A clock shows 6:32. What time will it show 149 minutes later? (a) 8:51 (b) 9:11 (c) 9:01 (d) 10:01
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  37. 37.A clock shows 3:17. What time will it show 168 minutes later? (a) 7:05 (b) 6:15 (c) 5:55 (d) 6:05
  38. 38.A clock shows 9:57. What time will it show 81 minutes later? (a) 11:08 (b) 12:18 (c) 11:28 (d) 11:18
  39. 39.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =

Answer key

  1. 172
  2. 14.5
  3. 22
  4. 97.5
  5. 11.5
  6. 12:19
  7. 11:22
  8. 2:03
  9. 162
  10. 99.5
  11. 318
  12. 28
  13. 98.5
  14. 6:40
  15. 14
  16. 67
  17. 10
  18. 2:15
  19. 67
  20. 294
  21. 102
  22. 29
  23. 11:50
  24. 2:48
  25. 9:26
  26. 5:14
  27. 65.5
  28. 44.5
  29. 258
  30. 8.5
  31. 1:09
  32. 30
  33. 13.5
  34. 4:48
  35. 9:01
  36. 145
  37. 6:05
  38. 11:18
  39. 78
  40. 137.5

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