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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 370 · 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 6:39? (in degrees) =
  2. 2.A clock shows 8:44. What time will it show 60 minutes later? (a) 10:44 (b) 9:44 (c) 9:54 (d) 9:34
  3. 3.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  4. 4.A clock shows 7:10. What time will it show 82 minutes later? (a) 8:42 (b) 8:22 (c) 9:32 (d) 8:32
  5. 5.How many degrees does the hour hand of a clock turn in 20 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 32 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  8. 8.A clock shows 3:56. What time will it show 97 minutes later? (a) 5:23 (b) 6:33 (c) 5:33 (d) 5:43
  9. 9.How many degrees does the minute hand of a clock turn in 12 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 118 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 11 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:49? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:01? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:55? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:44? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:54? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:04? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:18? (in degrees) =
  23. 23.A clock shows 1:40. What time will it show 24 minutes later? (a) 2:04 (b) 1:54 (c) 2:14 (d) 3:04
  24. 24.A clock shows 8:17. What time will it show 55 minutes later? (a) 9:02 (b) 9:22 (c) 9:12 (d) 10:12
  25. 25.How many degrees does the hour hand of a clock turn in 50 minutes? =
  26. 26.How many degrees does the minute hand of a clock turn in 31 minutes? =
  27. 27.A clock shows 5:05. What time will it show 78 minutes later? (a) 6:33 (b) 6:23 (c) 6:13 (d) 7:23
  28. 28.How many degrees does the minute hand of a clock turn in 48 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 50 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 6 minutes? =
  31. 31.A clock shows 2:15. What time will it show 74 minutes later? (a) 3:29 (b) 4:29 (c) 3:19 (d) 3:39
  32. 32.A clock shows 3:31. What time will it show 115 minutes later? (a) 6:26 (b) 5:26 (c) 5:16 (d) 5:36
  33. 33.A clock shows 5:41. What time will it show 161 minutes later? (a) 8:12 (b) 8:32 (c) 8:22 (d) 9:22
  34. 34.How many degrees does the hour hand of a clock turn in 148 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 39 minutes? =
  36. 36.A clock shows 2:28. What time will it show 151 minutes later? (a) 5:09 (b) 4:49 (c) 5:59 (d) 4:59
  37. 37.How many degrees does the hour hand of a clock turn in 180 minutes? =
  38. 38.A clock shows 3:01. What time will it show 12 minutes later? (a) 3:13 (b) 3:03 (c) 3:23 (d) 4:13
  39. 39.A clock shows 12:38. What time will it show 164 minutes later? (a) 3:12 (b) 3:32 (c) 3:22 (d) 4:22
  40. 40.What is the smaller angle between the hour hand and the minute hand at 12:42? (in degrees) =

Answer key

  1. 34.5
  2. 9:44
  3. 145
  4. 8:32
  5. 10
  6. 16
  7. 16
  8. 5:33
  9. 72
  10. 59
  11. 52.5
  12. 66
  13. 0.5
  14. 65.5
  15. 89.5
  16. 152.5
  17. 32
  18. 63
  19. 178.5
  20. 91
  21. 22
  22. 39
  23. 2:04
  24. 9:12
  25. 25
  26. 186
  27. 6:23
  28. 288
  29. 300
  30. 36
  31. 3:29
  32. 5:26
  33. 8:22
  34. 74
  35. 234
  36. 4:59
  37. 90
  38. 3:13
  39. 3:22
  40. 129

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