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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 469 · 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 1:26. What time will it show 73 minutes later? (a) 2:39 (b) 2:29 (c) 2:49 (d) 3:39
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:23? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  4. 4.A clock shows 11:10. What time will it show 64 minutes later? (a) 12:14 (b) 12:24 (c) 12:04 (d) 1:14
  5. 5.How many degrees does the hour hand of a clock turn in 104 minutes? =
  6. 6.A clock shows 2:08. What time will it show 60 minutes later? (a) 3:18 (b) 4:08 (c) 2:58 (d) 3:08
  7. 7.A clock shows 6:32. What time will it show 127 minutes later? (a) 9:39 (b) 8:29 (c) 8:39 (d) 8:49
  8. 8.How many degrees does the hour hand of a clock turn in 129 minutes? =
  9. 9.A clock shows 1:45. What time will it show 136 minutes later? (a) 5:01 (b) 3:51 (c) 4:01 (d) 4:11
  10. 10.How many degrees does the minute hand of a clock turn in 53 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 56 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 32 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 5:03? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:34? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 91 minutes? =
  20. 20.A clock shows 3:37. What time will it show 62 minutes later? (a) 4:29 (b) 5:39 (c) 4:49 (d) 4:39
  21. 21.How many degrees does the minute hand of a clock turn in 27 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 142 minutes? =
  23. 23.A clock shows 7:49. What time will it show 107 minutes later? (a) 9:36 (b) 9:46 (c) 10:36 (d) 9:26
  24. 24.A clock shows 9:58. What time will it show 132 minutes later? (a) 12:10 (b) 12:20 (c) 1:10 (d) 12:00
  25. 25.A clock shows 3:05. What time will it show 138 minutes later? (a) 5:33 (b) 6:23 (c) 5:13 (d) 5:23
  26. 26.What is the smaller angle between the hour hand and the minute hand at 3:22? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:48? (in degrees) =
  28. 28.A clock shows 1:07. What time will it show 149 minutes later? (a) 4:36 (b) 3:36 (c) 3:46 (d) 3:26
  29. 29.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 58 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 8:24? (in degrees) =
  32. 32.A clock shows 1:38. What time will it show 158 minutes later? (a) 4:16 (b) 5:16 (c) 4:06 (d) 4:26
  33. 33.A clock shows 2:31. What time will it show 159 minutes later? (a) 5:20 (b) 6:10 (c) 5:00 (d) 5:10
  34. 34.What is the smaller angle between the hour hand and the minute hand at 2:26? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  36. 36.How many degrees does the hour hand of a clock turn in 98 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:59? (in degrees) =
  38. 38.A clock shows 10:23. What time will it show 24 minutes later? (a) 11:47 (b) 10:37 (c) 10:47 (d) 10:57
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  40. 40.A clock shows 8:15. What time will it show 41 minutes later? (a) 8:46 (b) 8:56 (c) 9:56 (d) 9:06

Answer key

  1. 2:39
  2. 83.5
  3. 155.5
  4. 12:14
  5. 52
  6. 3:08
  7. 8:39
  8. 64.5
  9. 4:01
  10. 318
  11. 28
  12. 90
  13. 50
  14. 192
  15. 84
  16. 133.5
  17. 127
  18. 108
  19. 45.5
  20. 4:39
  21. 162
  22. 71
  23. 9:36
  24. 12:10
  25. 5:23
  26. 31
  27. 156
  28. 3:36
  29. 67
  30. 348
  31. 108
  32. 4:16
  33. 5:10
  34. 83
  35. 176
  36. 49
  37. 125.5
  38. 10:47
  39. 17
  40. 8:56

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