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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 148 · 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 minute hand of a clock turn in 44 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:49? (in degrees) =
  4. 4.A clock shows 8:50. What time will it show 84 minutes later? (a) 10:04 (b) 10:14 (c) 10:24 (d) 11:14
  5. 5.How many degrees does the minute hand of a clock turn in 27 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 44 minutes? =
  7. 7.A clock shows 11:35. What time will it show 164 minutes later? (a) 2:29 (b) 2:09 (c) 3:19 (d) 2:19
  8. 8.A clock shows 11:47. What time will it show 22 minutes later? (a) 11:59 (b) 1:09 (c) 12:19 (d) 12:09
  9. 9.A clock shows 9:49. What time will it show 143 minutes later? (a) 12:12 (b) 12:22 (c) 12:02 (d) 1:12
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 70 minutes? =
  12. 12.A clock shows 12:05. What time will it show 143 minutes later? (a) 2:38 (b) 3:28 (c) 2:18 (d) 2:28
  13. 13.A clock shows 2:50. What time will it show 148 minutes later? (a) 6:18 (b) 5:28 (c) 5:18 (d) 5:08
  14. 14.A clock shows 5:24. What time will it show 112 minutes later? (a) 7:06 (b) 8:16 (c) 7:16 (d) 7:26
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:53? (in degrees) =
  16. 16.A clock shows 11:29. What time will it show 40 minutes later? (a) 11:59 (b) 12:19 (c) 12:09 (d) 1:09
  17. 17.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  19. 19.A clock shows 4:43. What time will it show 162 minutes later? (a) 7:35 (b) 7:15 (c) 7:25 (d) 8:25
  20. 20.How many degrees does the minute hand of a clock turn in 21 minutes? =
  21. 21.A clock shows 2:35. What time will it show 71 minutes later? (a) 3:46 (b) 3:56 (c) 4:46 (d) 3:36
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 15 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  25. 25.A clock shows 8:21. What time will it show 99 minutes later? (a) 11:00 (b) 10:10 (c) 10:00 (d) 9:50
  26. 26.What is the smaller angle between the hour hand and the minute hand at 7:03? (in degrees) =
  27. 27.A clock shows 2:45. What time will it show 61 minutes later? (a) 4:46 (b) 3:56 (c) 3:36 (d) 3:46
  28. 28.How many degrees does the minute hand of a clock turn in 23 minutes? =
  29. 29.A clock shows 9:26. What time will it show 100 minutes later? (a) 11:16 (b) 10:56 (c) 11:06 (d) 12:06
  30. 30.A clock shows 12:28. What time will it show 22 minutes later? (a) 1:50 (b) 12:40 (c) 1:00 (d) 12:50
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:44? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  34. 34.A clock shows 4:29. What time will it show 25 minutes later? (a) 4:44 (b) 4:54 (c) 5:04 (d) 5:54
  35. 35.How many degrees does the minute hand of a clock turn in 13 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:57? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:24? (in degrees) =

Answer key

  1. 264
  2. 130
  3. 90.5
  4. 10:14
  5. 162
  6. 22
  7. 2:19
  8. 12:09
  9. 12:12
  10. 102
  11. 35
  12. 2:28
  13. 5:18
  14. 7:16
  15. 51.5
  16. 12:09
  17. 54
  18. 88.5
  19. 7:25
  20. 126
  21. 3:46
  22. 172.5
  23. 90
  24. 43
  25. 10:00
  26. 166.5
  27. 3:46
  28. 138
  29. 11:06
  30. 12:50
  31. 58
  32. 5
  33. 14
  34. 4:54
  35. 78
  36. 152
  37. 34
  38. 46.5
  39. 60
  40. 48

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