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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 380 · 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 20 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  3. 3.A clock shows 4:52. What time will it show 71 minutes later? (a) 6:13 (b) 5:53 (c) 6:03 (d) 7:03
  4. 4.A clock shows 11:57. What time will it show 37 minutes later? (a) 12:24 (b) 1:34 (c) 12:34 (d) 12:44
  5. 5.What is the smaller angle between the hour hand and the minute hand at 8:13? (in degrees) =
  6. 6.A clock shows 5:28. What time will it show 76 minutes later? (a) 6:34 (b) 7:44 (c) 6:44 (d) 6:54
  7. 7.A clock shows 9:37. What time will it show 53 minutes later? (a) 11:30 (b) 10:30 (c) 10:40 (d) 10:20
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:16? (in degrees) =
  9. 9.A clock shows 9:03. What time will it show 109 minutes later? (a) 10:42 (b) 11:02 (c) 11:52 (d) 10:52
  10. 10.A clock shows 12:09. What time will it show 153 minutes later? (a) 2:52 (b) 3:42 (c) 2:32 (d) 2:42
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:47? (in degrees) =
  12. 12.A clock shows 10:56. What time will it show 99 minutes later? (a) 1:35 (b) 12:45 (c) 12:25 (d) 12:35
  13. 13.A clock shows 2:24. What time will it show 60 minutes later? (a) 3:14 (b) 4:24 (c) 3:34 (d) 3:24
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:13? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 102 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 28 minutes? =
  17. 17.A clock shows 12:20. What time will it show 126 minutes later? (a) 2:16 (b) 3:26 (c) 2:36 (d) 2:26
  18. 18.A clock shows 9:02. What time will it show 21 minutes later? (a) 9:33 (b) 9:23 (c) 9:13 (d) 10:23
  19. 19.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 15 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:58? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 11:09? (in degrees) =
  24. 24.A clock shows 11:47. What time will it show 46 minutes later? (a) 12:23 (b) 12:43 (c) 12:33 (d) 1:33
  25. 25.A clock shows 11:00. What time will it show 48 minutes later? (a) 12:48 (b) 11:38 (c) 11:48 (d) 11:58
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  27. 27.A clock shows 11:38. What time will it show 115 minutes later? (a) 2:33 (b) 1:23 (c) 1:43 (d) 1:33
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:50? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 55 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:46? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 12 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  36. 36.A clock shows 12:18. What time will it show 32 minutes later? (a) 12:40 (b) 12:50 (c) 1:50 (d) 1:00
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  38. 38.A clock shows 2:36. What time will it show 152 minutes later? (a) 5:18 (b) 5:08 (c) 6:08 (d) 4:58
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =

Answer key

  1. 120
  2. 178
  3. 6:03
  4. 12:34
  5. 168.5
  6. 6:44
  7. 10:30
  8. 92
  9. 10:52
  10. 2:42
  11. 101.5
  12. 12:35
  13. 3:24
  14. 161.5
  15. 51
  16. 168
  17. 2:26
  18. 9:23
  19. 153.5
  20. 11.5
  21. 90
  22. 101
  23. 79.5
  24. 12:33
  25. 11:48
  26. 73.5
  27. 1:33
  28. 106.5
  29. 126
  30. 125
  31. 147.5
  32. 330
  33. 43
  34. 72
  35. 15
  36. 12:50
  37. 61
  38. 5:08
  39. 114
  40. 17.5

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