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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 821 · 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 10:16? (in degrees) =
  2. 2.A clock shows 5:04. What time will it show 97 minutes later? (a) 7:41 (b) 6:51 (c) 6:31 (d) 6:41
  3. 3.A clock shows 3:01. What time will it show 90 minutes later? (a) 5:31 (b) 4:41 (c) 4:31 (d) 4:21
  4. 4.A clock shows 11:48. What time will it show 130 minutes later? (a) 2:08 (b) 1:58 (c) 1:48 (d) 2:58
  5. 5.How many degrees does the minute hand of a clock turn in 59 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 9:16? (in degrees) =
  7. 7.A clock shows 4:19. What time will it show 164 minutes later? (a) 6:53 (b) 7:13 (c) 8:03 (d) 7:03
  8. 8.A clock shows 3:34. What time will it show 50 minutes later? (a) 4:34 (b) 4:14 (c) 5:24 (d) 4:24
  9. 9.How many degrees does the hour hand of a clock turn in 67 minutes? =
  10. 10.A clock shows 12:06. What time will it show 16 minutes later? (a) 12:32 (b) 12:22 (c) 12:12 (d) 1:22
  11. 11.How many degrees does the minute hand of a clock turn in 8 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:44? (in degrees) =
  14. 14.A clock shows 4:45. What time will it show 101 minutes later? (a) 6:26 (b) 7:26 (c) 6:36 (d) 6:16
  15. 15.What is the smaller angle between the hour hand and the minute hand at 1:32? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:31? (in degrees) =
  18. 18.A clock shows 1:34. What time will it show 55 minutes later? (a) 2:29 (b) 2:19 (c) 2:39 (d) 3:29
  19. 19.A clock shows 5:09. What time will it show 41 minutes later? (a) 5:40 (b) 6:00 (c) 6:50 (d) 5:50
  20. 20.How many degrees does the hour hand of a clock turn in 13 minutes? =
  21. 21.A clock shows 3:08. What time will it show 88 minutes later? (a) 4:26 (b) 5:36 (c) 4:36 (d) 4:46
  22. 22.How many degrees does the minute hand of a clock turn in 9 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  25. 25.How many degrees does the minute hand of a clock turn in 46 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:12? (in degrees) =
  27. 27.How many degrees does the hour hand of a clock turn in 159 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 22 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 3:16? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 47 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 6 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:59? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  38. 38.A clock shows 8:33. What time will it show 125 minutes later? (a) 10:48 (b) 10:28 (c) 11:38 (d) 10:38
  39. 39.How many degrees does the minute hand of a clock turn in 13 minutes? =
  40. 40.A clock shows 2:08. What time will it show 65 minutes later? (a) 4:13 (b) 3:03 (c) 3:13 (d) 3:23

Answer key

  1. 148
  2. 6:41
  3. 4:31
  4. 1:58
  5. 354
  6. 178
  7. 7:03
  8. 4:24
  9. 33.5
  10. 12:22
  11. 48
  12. 152.5
  13. 88
  14. 6:26
  15. 146
  16. 134
  17. 9.5
  18. 2:29
  19. 5:50
  20. 6.5
  21. 4:36
  22. 54
  23. 47.5
  24. 64.5
  25. 276
  26. 84
  27. 79.5
  28. 11
  29. 2
  30. 159
  31. 145
  32. 282
  33. 36
  34. 83.5
  35. 35.5
  36. 48.5
  37. 80
  38. 10:38
  39. 78
  40. 3:13

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