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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 197 · 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 36 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  3. 3.A clock shows 11:15. What time will it show 124 minutes later? (a) 1:09 (b) 2:19 (c) 1:29 (d) 1:19
  4. 4.A clock shows 4:16. What time will it show 105 minutes later? (a) 5:51 (b) 6:11 (c) 7:01 (d) 6:01
  5. 5.How many degrees does the hour hand of a clock turn in 50 minutes? =
  6. 6.How many degrees does the minute hand of a clock turn in 36 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 88 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:18? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 14 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 6 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 67 minutes? =
  14. 14.How many degrees does the minute hand of a clock turn in 21 minutes? =
  15. 15.A clock shows 7:57. What time will it show 133 minutes later? (a) 10:10 (b) 10:00 (c) 11:10 (d) 10:20
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:43? (in degrees) =
  18. 18.A clock shows 11:42. What time will it show 92 minutes later? (a) 1:14 (b) 1:24 (c) 1:04 (d) 2:14
  19. 19.A clock shows 7:30. What time will it show 116 minutes later? (a) 9:36 (b) 9:26 (c) 9:16 (d) 10:26
  20. 20.What is the smaller angle between the hour hand and the minute hand at 12:45? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  23. 23.A clock shows 2:09. What time will it show 126 minutes later? (a) 4:25 (b) 5:15 (c) 4:15 (d) 4:05
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:03? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 12:35? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:20? (in degrees) =
  27. 27.A clock shows 3:13. What time will it show 92 minutes later? (a) 4:45 (b) 5:45 (c) 4:35 (d) 4:55
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  29. 29.A clock shows 9:09. What time will it show 78 minutes later? (a) 11:27 (b) 10:17 (c) 10:37 (d) 10:27
  30. 30.How many degrees does the minute hand of a clock turn in 55 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 175 minutes? =
  32. 32.A clock shows 6:23. What time will it show 84 minutes later? (a) 7:37 (b) 7:47 (c) 7:57 (d) 8:47
  33. 33.How many degrees does the minute hand of a clock turn in 43 minutes? =
  34. 34.A clock shows 1:17. What time will it show 57 minutes later? (a) 2:14 (b) 2:04 (c) 2:24 (d) 3:14
  35. 35.A clock shows 11:00. What time will it show 124 minutes later? (a) 12:54 (b) 1:14 (c) 2:04 (d) 1:04
  36. 36.A clock shows 7:21. What time will it show 103 minutes later? (a) 8:54 (b) 9:14 (c) 10:04 (d) 9:04
  37. 37.A clock shows 1:10. What time will it show 128 minutes later? (a) 3:28 (b) 3:08 (c) 3:18 (d) 4:18
  38. 38.How many degrees does the hour hand of a clock turn in 101 minutes? =
  39. 39.A clock shows 3:36. What time will it show 24 minutes later? (a) 4:00 (b) 3:50 (c) 5:00 (d) 4:10
  40. 40.How many degrees does the minute hand of a clock turn in 27 minutes? =

Answer key

  1. 18
  2. 16.5
  3. 1:19
  4. 6:01
  5. 25
  6. 216
  7. 44
  8. 19.5
  9. 37
  10. 21
  11. 7
  12. 36
  13. 33.5
  14. 126
  15. 10:10
  16. 127
  17. 63.5
  18. 1:14
  19. 9:26
  20. 112.5
  21. 91.5
  22. 148
  23. 4:15
  24. 76.5
  25. 167.5
  26. 100
  27. 4:45
  28. 173.5
  29. 10:27
  30. 330
  31. 87.5
  32. 7:47
  33. 258
  34. 2:14
  35. 1:04
  36. 9:04
  37. 3:18
  38. 50.5
  39. 4:00
  40. 162

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