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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 228 · 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 5:25? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:52? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:59? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 4:02? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 65 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 21 minutes? =
  7. 7.A clock shows 3:56. What time will it show 138 minutes later? (a) 7:14 (b) 6:14 (c) 6:24 (d) 6:04
  8. 8.How many degrees does the hour hand of a clock turn in 89 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:08? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:34? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  12. 12.A clock shows 5:16. What time will it show 44 minutes later? (a) 7:00 (b) 6:00 (c) 5:50 (d) 6:10
  13. 13.A clock shows 8:15. What time will it show 102 minutes later? (a) 9:47 (b) 10:07 (c) 9:57 (d) 10:57
  14. 14.A clock shows 9:36. What time will it show 37 minutes later? (a) 10:23 (b) 10:03 (c) 10:13 (d) 11:13
  15. 15.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:51? (in degrees) =
  17. 17.How many degrees does the hour hand of a clock turn in 128 minutes? =
  18. 18.How many degrees does the hour hand of a clock turn in 178 minutes? =
  19. 19.A clock shows 7:57. What time will it show 30 minutes later? (a) 8:17 (b) 8:37 (c) 8:27 (d) 9:27
  20. 20.A clock shows 6:12. What time will it show 61 minutes later? (a) 7:13 (b) 8:13 (c) 7:23 (d) 7:03
  21. 21.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  22. 22.A clock shows 12:27. What time will it show 145 minutes later? (a) 3:52 (b) 3:02 (c) 2:42 (d) 2:52
  23. 23.How many degrees does the minute hand of a clock turn in 45 minutes? =
  24. 24.A clock shows 2:18. What time will it show 140 minutes later? (a) 4:38 (b) 5:38 (c) 4:28 (d) 4:48
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:50? (in degrees) =
  28. 28.A clock shows 11:37. What time will it show 51 minutes later? (a) 1:28 (b) 12:38 (c) 12:18 (d) 12:28
  29. 29.How many degrees does the minute hand of a clock turn in 47 minutes? =
  30. 30.A clock shows 7:39. What time will it show 113 minutes later? (a) 9:42 (b) 9:32 (c) 10:32 (d) 9:22
  31. 31.A clock shows 2:30. What time will it show 65 minutes later? (a) 3:25 (b) 3:45 (c) 4:35 (d) 3:35
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:47? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 8 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:35? (in degrees) =
  36. 36.A clock shows 4:59. What time will it show 13 minutes later? (a) 6:12 (b) 5:12 (c) 5:22 (d) 5:02
  37. 37.How many degrees does the hour hand of a clock turn in 153 minutes? =
  38. 38.A clock shows 10:09. What time will it show 108 minutes later? (a) 11:57 (b) 12:07 (c) 11:47 (d) 12:57
  39. 39.What is the smaller angle between the hour hand and the minute hand at 8:04? (in degrees) =
  40. 40.A clock shows 2:31. What time will it show 99 minutes later? (a) 4:00 (b) 5:10 (c) 4:20 (d) 4:10

Answer key

  1. 12.5
  2. 76
  3. 65.5
  4. 109
  5. 32.5
  6. 10.5
  7. 6:14
  8. 44.5
  9. 76
  10. 113
  11. 34.5
  12. 6:00
  13. 9:57
  14. 10:13
  15. 127
  16. 160.5
  17. 64
  18. 89
  19. 8:27
  20. 7:13
  21. 32.5
  22. 2:52
  23. 270
  24. 4:38
  25. 106.5
  26. 147
  27. 155
  28. 12:28
  29. 282
  30. 9:32
  31. 3:35
  32. 138.5
  33. 61
  34. 48
  35. 102.5
  36. 5:12
  37. 76.5
  38. 11:57
  39. 142
  40. 4:10

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