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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 274 · 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 129 minutes? =
  2. 2.A clock shows 7:22. What time will it show 130 minutes later? (a) 10:32 (b) 9:42 (c) 9:22 (d) 9:32
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:55? (in degrees) =
  5. 5.A clock shows 1:33. What time will it show 116 minutes later? (a) 4:29 (b) 3:39 (c) 3:29 (d) 3:19
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 11:25? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:00? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 9 minutes? =
  12. 12.A clock shows 8:23. What time will it show 134 minutes later? (a) 11:37 (b) 10:37 (c) 10:27 (d) 10:47
  13. 13.A clock shows 2:35. What time will it show 106 minutes later? (a) 4:31 (b) 4:21 (c) 4:11 (d) 5:21
  14. 14.A clock shows 10:32. What time will it show 90 minutes later? (a) 11:52 (b) 12:02 (c) 12:12 (d) 1:02
  15. 15.A clock shows 2:52. What time will it show 131 minutes later? (a) 4:53 (b) 5:13 (c) 5:03 (d) 6:03
  16. 16.How many degrees does the minute hand of a clock turn in 13 minutes? =
  17. 17.A clock shows 5:05. What time will it show 84 minutes later? (a) 6:39 (b) 7:29 (c) 6:29 (d) 6:19
  18. 18.A clock shows 3:18. What time will it show 37 minutes later? (a) 4:05 (b) 3:45 (c) 4:55 (d) 3:55
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 60 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 4 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 20 minutes? =
  23. 23.A clock shows 2:26. What time will it show 51 minutes later? (a) 3:17 (b) 3:27 (c) 4:17 (d) 3:07
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:18? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 20 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:46? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:30? (in degrees) =
  29. 29.A clock shows 12:17. What time will it show 29 minutes later? (a) 1:46 (b) 12:56 (c) 12:36 (d) 12:46
  30. 30.A clock shows 1:40. What time will it show 53 minutes later? (a) 3:33 (b) 2:33 (c) 2:23 (d) 2:43
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 1:02? (in degrees) =
  33. 33.A clock shows 8:11. What time will it show 137 minutes later? (a) 10:38 (b) 11:28 (c) 10:28 (d) 10:18
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:28? (in degrees) =
  35. 35.How many degrees does the minute hand of a clock turn in 57 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:06? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 54 minutes? =
  38. 38.A clock shows 6:18. What time will it show 20 minutes later? (a) 6:48 (b) 6:28 (c) 7:38 (d) 6:38
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =

Answer key

  1. 64.5
  2. 9:32
  3. 175
  4. 92.5
  5. 3:29
  6. 112.5
  7. 167.5
  8. 84
  9. 166.5
  10. 150
  11. 54
  12. 10:37
  13. 4:21
  14. 12:02
  15. 5:03
  16. 78
  17. 6:29
  18. 3:55
  19. 234
  20. 30
  21. 24
  22. 10
  23. 3:17
  24. 81
  25. 120
  26. 137
  27. 83.5
  28. 135
  29. 12:46
  30. 2:33
  31. 136.5
  32. 19
  33. 10:28
  34. 94
  35. 342
  36. 123
  37. 324
  38. 6:38
  39. 154
  40. 152.5

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