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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 212 · 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 6:31? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:30? (in degrees) =
  3. 3.A clock shows 1:47. What time will it show 136 minutes later? (a) 4:13 (b) 5:03 (c) 3:53 (d) 4:03
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:22? (in degrees) =
  5. 5.A clock shows 7:34. What time will it show 52 minutes later? (a) 8:26 (b) 9:26 (c) 8:16 (d) 8:36
  6. 6.How many degrees does the hour hand of a clock turn in 23 minutes? =
  7. 7.A clock shows 2:57. What time will it show 139 minutes later? (a) 5:06 (b) 5:26 (c) 6:16 (d) 5:16
  8. 8.How many degrees does the minute hand of a clock turn in 3 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =
  10. 10.A clock shows 4:11. What time will it show 68 minutes later? (a) 5:09 (b) 6:19 (c) 5:19 (d) 5:29
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:51? (in degrees) =
  12. 12.A clock shows 2:34. What time will it show 46 minutes later? (a) 3:10 (b) 4:20 (c) 3:30 (d) 3:20
  13. 13.How many degrees does the hour hand of a clock turn in 138 minutes? =
  14. 14.A clock shows 7:51. What time will it show 54 minutes later? (a) 8:55 (b) 9:45 (c) 8:45 (d) 8:35
  15. 15.How many degrees does the hour hand of a clock turn in 57 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 144 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 12:51? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:32? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 32 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 16 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 31 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  25. 25.A clock shows 7:38. What time will it show 93 minutes later? (a) 10:11 (b) 9:21 (c) 9:11 (d) 9:01
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:47? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 15 minutes? =
  28. 28.A clock shows 5:03. What time will it show 44 minutes later? (a) 5:37 (b) 6:47 (c) 5:57 (d) 5:47
  29. 29.A clock shows 2:35. What time will it show 48 minutes later? (a) 3:33 (b) 3:23 (c) 3:13 (d) 4:23
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  31. 31.A clock shows 5:21. What time will it show 111 minutes later? (a) 7:12 (b) 7:22 (c) 8:12 (d) 7:02
  32. 32.How many degrees does the minute hand of a clock turn in 48 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 22 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  35. 35.A clock shows 2:20. What time will it show 74 minutes later? (a) 3:24 (b) 4:34 (c) 3:44 (d) 3:34
  36. 36.How many degrees does the hour hand of a clock turn in 131 minutes? =
  37. 37.How many degrees does the hour hand of a clock turn in 37 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 2 minutes? =
  40. 40.A clock shows 11:41. What time will it show 41 minutes later? (a) 12:12 (b) 12:32 (c) 1:22 (d) 12:22

Answer key

  1. 9.5
  2. 45
  3. 4:03
  4. 151
  5. 8:26
  6. 11.5
  7. 5:16
  8. 18
  9. 125.5
  10. 5:19
  11. 40.5
  12. 3:20
  13. 69
  14. 8:45
  15. 28.5
  16. 72
  17. 178.5
  18. 79.5
  19. 8.5
  20. 56
  21. 192
  22. 96
  23. 186
  24. 158
  25. 9:11
  26. 11.5
  27. 90
  28. 5:47
  29. 3:23
  30. 53
  31. 7:12
  32. 288
  33. 132
  34. 153.5
  35. 3:34
  36. 65.5
  37. 18.5
  38. 106
  39. 12
  40. 12:22

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