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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 70 · 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 89 minutes? =
  2. 2.A clock shows 4:03. What time will it show 97 minutes later? (a) 5:50 (b) 5:30 (c) 6:40 (d) 5:40
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 9 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 3 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 138 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 8:08? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 31 minutes? =
  10. 10.A clock shows 3:18. What time will it show 32 minutes later? (a) 4:50 (b) 3:50 (c) 4:00 (d) 3:40
  11. 11.How many degrees does the hour hand of a clock turn in 177 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:48? (in degrees) =
  14. 14.A clock shows 3:51. What time will it show 154 minutes later? (a) 6:25 (b) 6:15 (c) 6:35 (d) 7:25
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  16. 16.A clock shows 12:46. What time will it show 78 minutes later? (a) 2:04 (b) 3:04 (c) 2:14 (d) 1:54
  17. 17.A clock shows 6:37. What time will it show 76 minutes later? (a) 7:43 (b) 7:53 (c) 8:03 (d) 8:53
  18. 18.A clock shows 6:12. What time will it show 120 minutes later? (a) 8:02 (b) 9:12 (c) 8:22 (d) 8:12
  19. 19.How many degrees does the hour hand of a clock turn in 37 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  21. 21.A clock shows 3:43. What time will it show 145 minutes later? (a) 7:08 (b) 6:18 (c) 6:08 (d) 5:58
  22. 22.A clock shows 7:40. What time will it show 161 minutes later? (a) 10:11 (b) 11:21 (c) 10:21 (d) 10:31
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 64 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  26. 26.A clock shows 9:46. What time will it show 63 minutes later? (a) 10:49 (b) 10:59 (c) 10:39 (d) 11:49
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:03? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  30. 30.A clock shows 1:07. What time will it show 110 minutes later? (a) 2:47 (b) 2:57 (c) 3:07 (d) 3:57
  31. 31.How many degrees does the hour hand of a clock turn in 178 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 4 minutes? =
  33. 33.A clock shows 2:47. What time will it show 18 minutes later? (a) 4:05 (b) 2:55 (c) 3:05 (d) 3:15
  34. 34.A clock shows 9:24. What time will it show 170 minutes later? (a) 1:14 (b) 12:24 (c) 12:04 (d) 12:14
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  37. 37.A clock shows 11:26. What time will it show 107 minutes later? (a) 1:13 (b) 1:03 (c) 2:13 (d) 1:23
  38. 38.How many degrees does the minute hand of a clock turn in 47 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 126 minutes? =
  40. 40.A clock shows 10:23. What time will it show 89 minutes later? (a) 11:42 (b) 12:02 (c) 11:52 (d) 12:52

Answer key

  1. 44.5
  2. 5:40
  3. 35.5
  4. 54
  5. 18
  6. 42
  7. 69
  8. 164
  9. 186
  10. 3:50
  11. 88.5
  12. 65
  13. 126
  14. 6:25
  15. 149
  16. 2:04
  17. 7:53
  18. 8:12
  19. 18.5
  20. 109.5
  21. 6:08
  22. 10:21
  23. 88.5
  24. 32
  25. 161.5
  26. 10:49
  27. 33.5
  28. 73.5
  29. 119.5
  30. 2:57
  31. 89
  32. 24
  33. 3:05
  34. 12:14
  35. 129.5
  36. 135
  37. 1:13
  38. 282
  39. 63
  40. 11:52

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