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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 73 · 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 4:52? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 114 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 10:38? (in degrees) =
  4. 4.A clock shows 4:07. What time will it show 66 minutes later? (a) 6:13 (b) 5:13 (c) 5:03 (d) 5:23
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  6. 6.A clock shows 9:01. What time will it show 59 minutes later? (a) 9:50 (b) 10:10 (c) 11:00 (d) 10:00
  7. 7.How many degrees does the minute hand of a clock turn in 18 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 27 minutes? =
  9. 9.How many degrees does the hour hand of a clock turn in 149 minutes? =
  10. 10.A clock shows 7:32. What time will it show 158 minutes later? (a) 10:10 (b) 10:00 (c) 11:10 (d) 10:20
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  12. 12.A clock shows 11:45. What time will it show 145 minutes later? (a) 2:00 (b) 2:20 (c) 2:10 (d) 3:10
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:24? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 4:01? (in degrees) =
  17. 17.A clock shows 12:14. What time will it show 121 minutes later? (a) 3:15 (b) 2:15 (c) 2:05 (d) 2:25
  18. 18.How many degrees does the minute hand of a clock turn in 50 minutes? =
  19. 19.How many degrees does the hour hand of a clock turn in 12 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 14 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:45? (in degrees) =
  22. 22.A clock shows 2:38. What time will it show 114 minutes later? (a) 4:42 (b) 5:32 (c) 4:32 (d) 4:22
  23. 23.A clock shows 7:48. What time will it show 111 minutes later? (a) 9:29 (b) 10:39 (c) 9:39 (d) 9:49
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 47 minutes? =
  26. 26.A clock shows 11:10. What time will it show 153 minutes later? (a) 1:33 (b) 1:43 (c) 1:53 (d) 2:43
  27. 27.A clock shows 11:32. What time will it show 35 minutes later? (a) 11:57 (b) 12:07 (c) 1:07 (d) 12:17
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:58? (in degrees) =
  29. 29.A clock shows 11:29. What time will it show 73 minutes later? (a) 12:42 (b) 12:32 (c) 1:42 (d) 12:52
  30. 30.How many degrees does the hour hand of a clock turn in 82 minutes? =
  31. 31.A clock shows 7:05. What time will it show 66 minutes later? (a) 8:21 (b) 8:11 (c) 8:01 (d) 9:11
  32. 32.A clock shows 5:44. What time will it show 22 minutes later? (a) 7:06 (b) 5:56 (c) 6:06 (d) 6:16
  33. 33.A clock shows 6:26. What time will it show 31 minutes later? (a) 6:57 (b) 7:07 (c) 7:57 (d) 6:47
  34. 34.How many degrees does the minute hand of a clock turn in 38 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 130 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 8:50? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 47 minutes? =
  40. 40.A clock shows 10:48. What time will it show 147 minutes later? (a) 1:25 (b) 2:15 (c) 1:15 (d) 1:05

Answer key

  1. 166
  2. 57
  3. 91
  4. 5:13
  5. 10
  6. 10:00
  7. 108
  8. 162
  9. 74.5
  10. 10:10
  11. 96
  12. 2:10
  13. 162
  14. 143.5
  15. 18.5
  16. 114.5
  17. 2:15
  18. 300
  19. 6
  20. 84
  21. 142.5
  22. 4:32
  23. 9:39
  24. 147
  25. 23.5
  26. 1:43
  27. 12:07
  28. 169
  29. 12:42
  30. 41
  31. 8:11
  32. 6:06
  33. 6:57
  34. 228
  35. 96.5
  36. 65
  37. 179
  38. 35
  39. 282
  40. 1:15

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