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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 630 · 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.A clock shows 6:28. What time will it show 169 minutes later? (a) 10:17 (b) 9:27 (c) 9:17 (d) 9:07
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:40? (in degrees) =
  3. 3.A clock shows 7:46. What time will it show 40 minutes later? (a) 8:16 (b) 8:36 (c) 9:26 (d) 8:26
  4. 4.How many degrees does the minute hand of a clock turn in 22 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:07? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 8 minutes? =
  8. 8.How many degrees does the hour hand of a clock turn in 156 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:34? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 17 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 6:33? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 63 minutes? =
  14. 14.A clock shows 4:53. What time will it show 32 minutes later? (a) 5:35 (b) 5:15 (c) 6:25 (d) 5:25
  15. 15.What is the smaller angle between the hour hand and the minute hand at 2:11? (in degrees) =
  16. 16.A clock shows 1:41. What time will it show 105 minutes later? (a) 3:36 (b) 3:16 (c) 3:26 (d) 4:26
  17. 17.How many degrees does the minute hand of a clock turn in 16 minutes? =
  18. 18.A clock shows 3:35. What time will it show 144 minutes later? (a) 6:09 (b) 5:59 (c) 5:49 (d) 6:59
  19. 19.A clock shows 9:00. What time will it show 40 minutes later? (a) 9:40 (b) 9:50 (c) 9:30 (d) 10:40
  20. 20.How many degrees does the minute hand of a clock turn in 59 minutes? =
  21. 21.A clock shows 6:39. What time will it show 20 minutes later? (a) 7:59 (b) 7:09 (c) 6:59 (d) 6:49
  22. 22.What is the smaller angle between the hour hand and the minute hand at 12:22? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 4:57? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  25. 25.A clock shows 12:11. What time will it show 139 minutes later? (a) 2:40 (b) 3:30 (c) 2:30 (d) 2:20
  26. 26.How many degrees does the minute hand of a clock turn in 28 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:12? (in degrees) =
  28. 28.A clock shows 8:16. What time will it show 26 minutes later? (a) 8:42 (b) 9:42 (c) 8:32 (d) 8:52
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:08? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 48 minutes? =
  31. 31.A clock shows 7:39. What time will it show 84 minutes later? (a) 8:53 (b) 10:03 (c) 9:13 (d) 9:03
  32. 32.What is the smaller angle between the hour hand and the minute hand at 5:30? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 11 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 58 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:12? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 52 minutes? =
  38. 38.A clock shows 10:13. What time will it show 92 minutes later? (a) 11:45 (b) 11:35 (c) 12:45 (d) 11:55
  39. 39.A clock shows 7:03. What time will it show 63 minutes later? (a) 8:06 (b) 8:16 (c) 7:56 (d) 9:06
  40. 40.A clock shows 5:28. What time will it show 23 minutes later? (a) 6:01 (b) 6:51 (c) 5:41 (d) 5:51

Answer key

  1. 9:17
  2. 20
  3. 8:26
  4. 132
  5. 25
  6. 51.5
  7. 48
  8. 78
  9. 37
  10. 102
  11. 1.5
  12. 330
  13. 31.5
  14. 5:25
  15. 0.5
  16. 3:26
  17. 96
  18. 5:59
  19. 9:40
  20. 354
  21. 6:59
  22. 121
  23. 166.5
  24. 165
  25. 2:30
  26. 168
  27. 6
  28. 8:42
  29. 44
  30. 24
  31. 9:03
  32. 15
  33. 66
  34. 29
  35. 36
  36. 7
  37. 312
  38. 11:45
  39. 8:06
  40. 5:51

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