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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 72 · 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 2:00? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 70 minutes? =
  3. 3.How many degrees does the minute hand of a clock turn in 32 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 46 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:17? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 148 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 89 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 162 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  13. 13.A clock shows 1:11. What time will it show 163 minutes later? (a) 3:54 (b) 3:44 (c) 4:04 (d) 4:54
  14. 14.A clock shows 9:32. What time will it show 63 minutes later? (a) 10:45 (b) 11:35 (c) 10:35 (d) 10:25
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  16. 16.A clock shows 3:20. What time will it show 120 minutes later? (a) 5:20 (b) 5:10 (c) 5:30 (d) 6:20
  17. 17.How many degrees does the minute hand of a clock turn in 42 minutes? =
  18. 18.How many degrees does the minute hand of a clock turn in 40 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  20. 20.A clock shows 4:17. What time will it show 112 minutes later? (a) 7:09 (b) 5:59 (c) 6:09 (d) 6:19
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  22. 22.A clock shows 1:57. What time will it show 166 minutes later? (a) 4:43 (b) 5:43 (c) 4:53 (d) 4:33
  23. 23.How many degrees does the minute hand of a clock turn in 47 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:02? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:41? (in degrees) =
  27. 27.A clock shows 1:22. What time will it show 152 minutes later? (a) 4:54 (b) 4:04 (c) 3:44 (d) 3:54
  28. 28.A clock shows 2:49. What time will it show 46 minutes later? (a) 4:35 (b) 3:25 (c) 3:35 (d) 3:45
  29. 29.How many degrees does the minute hand of a clock turn in 2 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  31. 31.A clock shows 5:44. What time will it show 42 minutes later? (a) 6:36 (b) 6:16 (c) 7:26 (d) 6:26
  32. 32.A clock shows 1:25. What time will it show 125 minutes later? (a) 3:20 (b) 3:30 (c) 4:30 (d) 3:40
  33. 33.A clock shows 5:55. What time will it show 39 minutes later? (a) 6:44 (b) 6:34 (c) 6:24 (d) 7:34
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:58? (in degrees) =
  36. 36.How many degrees does the minute hand of a clock turn in 53 minutes? =
  37. 37.A clock shows 11:30. What time will it show 134 minutes later? (a) 1:44 (b) 2:44 (c) 1:54 (d) 1:34
  38. 38.A clock shows 4:11. What time will it show 112 minutes later? (a) 6:13 (b) 5:53 (c) 7:03 (d) 6:03
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 56 minutes? =

Answer key

  1. 60
  2. 35
  3. 192
  4. 104.5
  5. 2
  6. 276
  7. 56.5
  8. 74
  9. 44.5
  10. 88.5
  11. 81
  12. 128
  13. 3:54
  14. 10:35
  15. 108
  16. 5:20
  17. 252
  18. 240
  19. 113
  20. 6:09
  21. 72
  22. 4:43
  23. 282
  24. 71
  25. 6
  26. 74.5
  27. 3:54
  28. 3:35
  29. 12
  30. 63.5
  31. 6:26
  32. 3:30
  33. 6:34
  34. 76
  35. 41
  36. 318
  37. 1:44
  38. 6:03
  39. 150
  40. 336

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