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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 884 · 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 9:16? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 30 minutes? =
  3. 3.A clock shows 6:30. What time will it show 56 minutes later? (a) 8:26 (b) 7:36 (c) 7:26 (d) 7:16
  4. 4.How many degrees does the minute hand of a clock turn in 9 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 41 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 155 minutes? =
  7. 7.How many degrees does the hour hand of a clock turn in 31 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:08? (in degrees) =
  9. 9.A clock shows 2:45. What time will it show 105 minutes later? (a) 5:30 (b) 4:30 (c) 4:20 (d) 4:40
  10. 10.How many degrees does the hour hand of a clock turn in 67 minutes? =
  11. 11.How many degrees does the minute hand of a clock turn in 17 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 18 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 54 minutes? =
  14. 14.A clock shows 9:22. What time will it show 99 minutes later? (a) 10:51 (b) 12:01 (c) 11:01 (d) 11:11
  15. 15.How many degrees does the hour hand of a clock turn in 169 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:33? (in degrees) =
  17. 17.A clock shows 10:16. What time will it show 138 minutes later? (a) 12:24 (b) 1:34 (c) 12:34 (d) 12:44
  18. 18.How many degrees does the minute hand of a clock turn in 37 minutes? =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:08? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 165 minutes? =
  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 6:41? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  25. 25.A clock shows 8:03. What time will it show 161 minutes later? (a) 10:54 (b) 10:34 (c) 10:44 (d) 11:44
  26. 26.A clock shows 9:09. What time will it show 64 minutes later? (a) 11:13 (b) 10:03 (c) 10:13 (d) 10:23
  27. 27.How many degrees does the hour hand of a clock turn in 83 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 146 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 134 minutes? =
  30. 30.How many degrees does the minute hand of a clock turn in 51 minutes? =
  31. 31.A clock shows 12:17. What time will it show 102 minutes later? (a) 2:59 (b) 1:49 (c) 2:09 (d) 1:59
  32. 32.How many degrees does the minute hand of a clock turn in 3 minutes? =
  33. 33.A clock shows 9:22. What time will it show 16 minutes later? (a) 9:28 (b) 10:38 (c) 9:48 (d) 9:38
  34. 34.A clock shows 5:13. What time will it show 20 minutes later? (a) 6:33 (b) 5:23 (c) 5:43 (d) 5:33
  35. 35.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  36. 36.A clock shows 11:06. What time will it show 42 minutes later? (a) 12:48 (b) 11:58 (c) 11:38 (d) 11:48
  37. 37.How many degrees does the hour hand of a clock turn in 88 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 80 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  40. 40.A clock shows 1:22. What time will it show 19 minutes later? (a) 2:41 (b) 1:31 (c) 1:41 (d) 1:51

Answer key

  1. 178
  2. 180
  3. 7:26
  4. 54
  5. 20.5
  6. 77.5
  7. 15.5
  8. 106
  9. 4:30
  10. 33.5
  11. 102
  12. 108
  13. 324
  14. 11:01
  15. 84.5
  16. 91.5
  17. 12:34
  18. 222
  19. 16
  20. 82.5
  21. 90
  22. 45.5
  23. 31
  24. 167
  25. 10:44
  26. 10:13
  27. 41.5
  28. 73
  29. 67
  30. 306
  31. 1:59
  32. 18
  33. 9:38
  34. 5:33
  35. 40
  36. 11:48
  37. 44
  38. 40
  39. 141.5
  40. 1:41

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