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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 541 · 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 1:48? (in degrees) =
  2. 2.A clock shows 7:21. What time will it show 136 minutes later? (a) 9:37 (b) 9:27 (c) 9:47 (d) 10:37
  3. 3.How many degrees does the hour hand of a clock turn in 112 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 8:26? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 51 minutes? =
  7. 7.A clock shows 2:37. What time will it show 124 minutes later? (a) 5:41 (b) 4:41 (c) 4:31 (d) 4:51
  8. 8.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 42 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 10 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 82 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:44? (in degrees) =
  14. 14.A clock shows 4:35. What time will it show 100 minutes later? (a) 6:05 (b) 7:15 (c) 6:15 (d) 6:25
  15. 15.A clock shows 5:23. What time will it show 125 minutes later? (a) 7:18 (b) 7:38 (c) 7:28 (d) 8:28
  16. 16.How many degrees does the hour hand of a clock turn in 163 minutes? =
  17. 17.How many degrees does the minute hand of a clock turn in 18 minutes? =
  18. 18.A clock shows 9:07. What time will it show 14 minutes later? (a) 10:21 (b) 9:31 (c) 9:11 (d) 9:21
  19. 19.How many degrees does the hour hand of a clock turn in 149 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:27? (in degrees) =
  21. 21.A clock shows 12:48. What time will it show 93 minutes later? (a) 2:21 (b) 2:11 (c) 2:31 (d) 3:21
  22. 22.What is the smaller angle between the hour hand and the minute hand at 3:47? (in degrees) =
  23. 23.A clock shows 4:39. What time will it show 81 minutes later? (a) 7:00 (b) 5:50 (c) 6:10 (d) 6:00
  24. 24.How many degrees does the minute hand of a clock turn in 29 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 4:30? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  27. 27.A clock shows 12:09. What time will it show 170 minutes later? (a) 3:59 (b) 3:09 (c) 2:49 (d) 2:59
  28. 28.A clock shows 3:10. What time will it show 86 minutes later? (a) 4:26 (b) 4:36 (c) 5:36 (d) 4:46
  29. 29.How many degrees does the minute hand of a clock turn in 38 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 117 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 8:46? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:57? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 8 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 55 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  38. 38.A clock shows 6:36. What time will it show 111 minutes later? (a) 8:27 (b) 8:17 (c) 9:27 (d) 8:37
  39. 39.A clock shows 1:11. What time will it show 96 minutes later? (a) 2:57 (b) 2:37 (c) 3:47 (d) 2:47
  40. 40.How many degrees does the minute hand of a clock turn in 50 minutes? =

Answer key

  1. 126
  2. 9:37
  3. 56
  4. 97
  5. 167
  6. 306
  7. 4:41
  8. 72.5
  9. 21
  10. 5
  11. 41
  12. 36
  13. 122
  14. 6:15
  15. 7:28
  16. 81.5
  17. 108
  18. 9:21
  19. 74.5
  20. 91.5
  21. 2:21
  22. 168.5
  23. 6:00
  24. 174
  25. 45
  26. 145
  27. 2:59
  28. 4:36
  29. 228
  30. 26
  31. 58.5
  32. 13
  33. 103.5
  34. 48
  35. 330
  36. 108.5
  37. 114.5
  38. 8:27
  39. 2:47
  40. 300

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