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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 973 · 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.How many degrees does the hour hand of a clock turn in 124 minutes? =
  2. 2.A clock shows 6:30. What time will it show 42 minutes later? (a) 7:22 (b) 7:12 (c) 7:02 (d) 8:12
  3. 3.How many degrees does the minute hand of a clock turn in 33 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:40? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 46 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 64 minutes? =
  7. 7.A clock shows 11:25. What time will it show 21 minutes later? (a) 12:46 (b) 11:56 (c) 11:36 (d) 11:46
  8. 8.A clock shows 12:14. What time will it show 85 minutes later? (a) 1:29 (b) 2:39 (c) 1:49 (d) 1:39
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:16? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  11. 11.A clock shows 11:13. What time will it show 148 minutes later? (a) 2:41 (b) 1:41 (c) 1:51 (d) 1:31
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 51 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:30? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 12:40? (in degrees) =
  16. 16.A clock shows 1:01. What time will it show 53 minutes later? (a) 2:04 (b) 1:44 (c) 2:54 (d) 1:54
  17. 17.A clock shows 3:09. What time will it show 64 minutes later? (a) 4:13 (b) 5:13 (c) 4:23 (d) 4:03
  18. 18.How many degrees does the minute hand of a clock turn in 10 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:42? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 74 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  25. 25.A clock shows 7:03. What time will it show 66 minutes later? (a) 7:59 (b) 8:19 (c) 8:09 (d) 9:09
  26. 26.How many degrees does the hour hand of a clock turn in 107 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 118 minutes? =
  28. 28.A clock shows 4:03. What time will it show 57 minutes later? (a) 6:00 (b) 5:00 (c) 4:50 (d) 5:10
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:25? (in degrees) =
  30. 30.A clock shows 3:41. What time will it show 28 minutes later? (a) 3:59 (b) 4:19 (c) 5:09 (d) 4:09
  31. 31.A clock shows 1:50. What time will it show 83 minutes later? (a) 3:13 (b) 4:13 (c) 3:23 (d) 3:03
  32. 32.A clock shows 3:23. What time will it show 44 minutes later? (a) 4:17 (b) 4:07 (c) 5:07 (d) 3:57
  33. 33.A clock shows 9:37. What time will it show 168 minutes later? (a) 1:25 (b) 12:25 (c) 12:35 (d) 12:15
  34. 34.How many degrees does the minute hand of a clock turn in 23 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 50 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:31? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  38. 38.A clock shows 7:35. What time will it show 28 minutes later? (a) 8:03 (b) 8:13 (c) 9:03 (d) 7:53
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  40. 40.A clock shows 7:07. What time will it show 145 minutes later? (a) 9:42 (b) 9:32 (c) 9:22 (d) 10:32

Answer key

  1. 62
  2. 7:12
  3. 198
  4. 100
  5. 276
  6. 32
  7. 11:46
  8. 1:39
  9. 62
  10. 117.5
  11. 1:41
  12. 39
  13. 306
  14. 105
  15. 140
  16. 1:54
  17. 4:13
  18. 60
  19. 69
  20. 167.5
  21. 155.5
  22. 129
  23. 37
  24. 179
  25. 8:09
  26. 53.5
  27. 59
  28. 5:00
  29. 162.5
  30. 4:09
  31. 3:13
  32. 4:07
  33. 12:25
  34. 138
  35. 25
  36. 140.5
  37. 44.5
  38. 8:03
  39. 170
  40. 9:32

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