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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 383 · 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 11:21? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 145 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  4. 4.A clock shows 9:15. What time will it show 10 minutes later? (a) 9:35 (b) 10:25 (c) 9:25 (d) 9:15
  5. 5.A clock shows 11:52. What time will it show 29 minutes later? (a) 12:31 (b) 12:21 (c) 1:21 (d) 12:11
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:16? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 38 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  9. 9.A clock shows 7:42. What time will it show 108 minutes later? (a) 10:30 (b) 9:20 (c) 9:30 (d) 9:40
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 15 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 170 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 104 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 24 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 6:09? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  18. 18.A clock shows 5:52. What time will it show 46 minutes later? (a) 6:38 (b) 6:48 (c) 7:38 (d) 6:28
  19. 19.A clock shows 3:22. What time will it show 40 minutes later? (a) 3:52 (b) 4:12 (c) 5:02 (d) 4:02
  20. 20.How many degrees does the minute hand of a clock turn in 36 minutes? =
  21. 21.A clock shows 3:56. What time will it show 50 minutes later? (a) 4:56 (b) 4:46 (c) 4:36 (d) 5:46
  22. 22.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  24. 24.How many degrees does the hour hand of a clock turn in 29 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 26 minutes? =
  26. 26.A clock shows 3:29. What time will it show 111 minutes later? (a) 5:30 (b) 5:20 (c) 6:20 (d) 5:10
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  28. 28.A clock shows 7:59. What time will it show 27 minutes later? (a) 8:26 (b) 8:36 (c) 9:26 (d) 8:16
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 17 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 157 minutes? =
  32. 32.A clock shows 8:36. What time will it show 98 minutes later? (a) 10:04 (b) 10:14 (c) 11:14 (d) 10:24
  33. 33.How many degrees does the minute hand of a clock turn in 23 minutes? =
  34. 34.A clock shows 6:10. What time will it show 162 minutes later? (a) 8:52 (b) 8:42 (c) 9:52 (d) 9:02
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:55? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 20 minutes? =
  38. 38.A clock shows 3:04. What time will it show 90 minutes later? (a) 5:34 (b) 4:24 (c) 4:44 (d) 4:34
  39. 39.How many degrees does the hour hand of a clock turn in 98 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 45 minutes? =

Answer key

  1. 145.5
  2. 72.5
  3. 87.5
  4. 9:25
  5. 12:21
  6. 118
  7. 228
  8. 105.5
  9. 9:30
  10. 84
  11. 7.5
  12. 85
  13. 52
  14. 138.5
  15. 144
  16. 130.5
  17. 166.5
  18. 6:38
  19. 4:02
  20. 216
  21. 4:46
  22. 138
  23. 175.5
  24. 14.5
  25. 156
  26. 5:20
  27. 20.5
  28. 8:26
  29. 31
  30. 102
  31. 78.5
  32. 10:14
  33. 138
  34. 8:52
  35. 117.5
  36. 106
  37. 120
  38. 4:34
  39. 49
  40. 22.5

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