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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 446 · 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 9:04. What time will it show 116 minutes later? (a) 11:00 (b) 10:50 (c) 12:00 (d) 11:10
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:22? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 55 minutes? =
  5. 5.How many degrees does the hour hand of a clock turn in 90 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 131 minutes? =
  7. 7.A clock shows 4:08. What time will it show 86 minutes later? (a) 6:34 (b) 5:24 (c) 5:44 (d) 5:34
  8. 8.A clock shows 3:39. What time will it show 163 minutes later? (a) 6:12 (b) 6:22 (c) 7:22 (d) 6:32
  9. 9.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  10. 10.A clock shows 1:13. What time will it show 124 minutes later? (a) 3:27 (b) 4:17 (c) 3:07 (d) 3:17
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 7:09? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  16. 16.How many degrees does the hour hand of a clock turn in 97 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  18. 18.A clock shows 8:01. What time will it show 144 minutes later? (a) 10:25 (b) 10:35 (c) 10:15 (d) 11:25
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 136 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  22. 22.A clock shows 4:32. What time will it show 170 minutes later? (a) 7:32 (b) 7:22 (c) 8:22 (d) 7:12
  23. 23.A clock shows 5:04. What time will it show 11 minutes later? (a) 5:15 (b) 5:05 (c) 6:15 (d) 5:25
  24. 24.What is the smaller angle between the hour hand and the minute hand at 7:08? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 5:26? (in degrees) =
  26. 26.How many degrees does the hour hand of a clock turn in 167 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  29. 29.A clock shows 1:59. What time will it show 51 minutes later? (a) 2:50 (b) 2:40 (c) 3:00 (d) 3:50
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:06? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 1:51? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 52 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 73 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 5:46? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 33 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  40. 40.A clock shows 2:59. What time will it show 167 minutes later? (a) 5:36 (b) 5:46 (c) 5:56 (d) 6:46

Answer key

  1. 11:00
  2. 119
  3. 141
  4. 330
  5. 45
  6. 65.5
  7. 5:34
  8. 6:22
  9. 18
  10. 3:17
  11. 40.5
  12. 160.5
  13. 24.5
  14. 24
  15. 174
  16. 48.5
  17. 116.5
  18. 10:25
  19. 162
  20. 68
  21. 152
  22. 7:22
  23. 5:15
  24. 166
  25. 7
  26. 83.5
  27. 165.5
  28. 31
  29. 2:50
  30. 87
  31. 109.5
  32. 312
  33. 58
  34. 118
  35. 36.5
  36. 118.5
  37. 103
  38. 198
  39. 179
  40. 5:46

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