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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 241 · 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 9:47? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 44 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  5. 5.A clock shows 12:03. What time will it show 66 minutes later? (a) 1:19 (b) 12:59 (c) 2:09 (d) 1:09
  6. 6.A clock shows 12:50. What time will it show 131 minutes later? (a) 3:01 (b) 3:11 (c) 2:51 (d) 4:01
  7. 7.A clock shows 5:09. What time will it show 91 minutes later? (a) 6:30 (b) 6:50 (c) 6:40 (d) 7:40
  8. 8.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  9. 9.A clock shows 9:12. What time will it show 58 minutes later? (a) 11:10 (b) 10:00 (c) 10:20 (d) 10:10
  10. 10.What is the smaller angle between the hour hand and the minute hand at 9:39? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  13. 13.A clock shows 2:37. What time will it show 124 minutes later? (a) 4:31 (b) 5:41 (c) 4:41 (d) 4:51
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  15. 15.A clock shows 1:09. What time will it show 22 minutes later? (a) 1:21 (b) 1:41 (c) 2:31 (d) 1:31
  16. 16.How many degrees does the minute hand of a clock turn in 45 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:21? (in degrees) =
  18. 18.A clock shows 7:10. What time will it show 128 minutes later? (a) 10:18 (b) 9:28 (c) 9:18 (d) 9:08
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:33? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 94 minutes? =
  21. 21.A clock shows 8:18. What time will it show 34 minutes later? (a) 9:02 (b) 9:52 (c) 8:42 (d) 8:52
  22. 22.A clock shows 1:50. What time will it show 100 minutes later? (a) 4:30 (b) 3:30 (c) 3:40 (d) 3:20
  23. 23.How many degrees does the hour hand of a clock turn in 34 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 51 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 89 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 22 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 8 minutes? =
  30. 30.A clock shows 11:12. What time will it show 63 minutes later? (a) 1:15 (b) 12:25 (c) 12:15 (d) 12:05
  31. 31.How many degrees does the minute hand of a clock turn in 53 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 160 minutes? =
  33. 33.A clock shows 5:18. What time will it show 54 minutes later? (a) 6:12 (b) 6:02 (c) 6:22 (d) 7:12
  34. 34.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 35 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 58 minutes? =
  37. 37.A clock shows 11:37. What time will it show 64 minutes later? (a) 12:51 (b) 12:41 (c) 1:41 (d) 12:31
  38. 38.A clock shows 6:42. What time will it show 41 minutes later? (a) 7:23 (b) 7:33 (c) 7:13 (d) 8:23
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:13? (in degrees) =

Answer key

  1. 11.5
  2. 264
  3. 86
  4. 125
  5. 1:09
  6. 3:01
  7. 6:40
  8. 44.5
  9. 10:10
  10. 55.5
  11. 107
  12. 101.5
  13. 4:41
  14. 26
  15. 1:31
  16. 270
  17. 154.5
  18. 9:18
  19. 61.5
  20. 47
  21. 8:52
  22. 3:30
  23. 17
  24. 25.5
  25. 128
  26. 53.5
  27. 44.5
  28. 11
  29. 48
  30. 12:15
  31. 318
  32. 80
  33. 6:12
  34. 153
  35. 210
  36. 348
  37. 12:41
  38. 7:23
  39. 136.5
  40. 11.5

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