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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 693 · 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 3:43? (in degrees) =
  2. 2.A clock shows 5:52. What time will it show 130 minutes later? (a) 8:12 (b) 8:02 (c) 9:02 (d) 7:52
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:44? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 51 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 128 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 54 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:38? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:58? (in degrees) =
  10. 10.A clock shows 5:55. What time will it show 148 minutes later? (a) 8:13 (b) 8:23 (c) 8:33 (d) 9:23
  11. 11.A clock shows 10:36. What time will it show 43 minutes later? (a) 11:19 (b) 11:09 (c) 11:29 (d) 12:19
  12. 12.A clock shows 8:10. What time will it show 25 minutes later? (a) 8:25 (b) 9:35 (c) 8:35 (d) 8:45
  13. 13.A clock shows 4:12. What time will it show 14 minutes later? (a) 4:26 (b) 4:16 (c) 4:36 (d) 5:26
  14. 14.How many degrees does the hour hand of a clock turn in 60 minutes? =
  15. 15.A clock shows 12:45. What time will it show 136 minutes later? (a) 3:01 (b) 2:51 (c) 3:11 (d) 4:01
  16. 16.How many degrees does the hour hand of a clock turn in 92 minutes? =
  17. 17.A clock shows 1:02. What time will it show 143 minutes later? (a) 4:25 (b) 3:25 (c) 3:35 (d) 3:15
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:27? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 123 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 35 minutes? =
  21. 21.A clock shows 10:13. What time will it show 143 minutes later? (a) 12:46 (b) 12:36 (c) 12:26 (d) 1:36
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 54 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:00? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  26. 26.A clock shows 8:00. What time will it show 39 minutes later? (a) 8:49 (b) 8:39 (c) 9:39 (d) 8:29
  27. 27.How many degrees does the minute hand of a clock turn in 17 minutes? =
  28. 28.A clock shows 5:14. What time will it show 117 minutes later? (a) 8:11 (b) 7:11 (c) 7:21 (d) 7:01
  29. 29.A clock shows 8:09. What time will it show 11 minutes later? (a) 8:10 (b) 9:20 (c) 8:20 (d) 8:30
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:55? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 9:02? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 14 minutes? =
  36. 36.A clock shows 3:17. What time will it show 140 minutes later? (a) 6:37 (b) 5:47 (c) 5:27 (d) 5:37
  37. 37.A clock shows 8:05. What time will it show 145 minutes later? (a) 10:20 (b) 10:30 (c) 11:30 (d) 10:40
  38. 38.How many degrees does the hour hand of a clock turn in 39 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 32 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =

Answer key

  1. 146.5
  2. 8:02
  3. 152
  4. 306
  5. 64
  6. 26
  7. 27
  8. 119
  9. 79
  10. 8:23
  11. 11:19
  12. 8:35
  13. 4:26
  14. 30
  15. 3:01
  16. 46
  17. 3:25
  18. 121.5
  19. 61.5
  20. 210
  21. 12:36
  22. 101.5
  23. 324
  24. 90
  25. 131
  26. 8:39
  27. 102
  28. 7:11
  29. 8:20
  30. 62.5
  31. 177.5
  32. 282
  33. 101
  34. 131.5
  35. 7
  36. 5:37
  37. 10:30
  38. 19.5
  39. 192
  40. 121

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