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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 163 · 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.How many degrees does the minute hand of a clock turn in 3 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  3. 3.A clock shows 7:30. What time will it show 33 minutes later? (a) 9:03 (b) 7:53 (c) 8:03 (d) 8:13
  4. 4.How many degrees does the hour hand of a clock turn in 110 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:32? (in degrees) =
  6. 6.How many degrees does the hour hand of a clock turn in 51 minutes? =
  7. 7.A clock shows 7:39. What time will it show 160 minutes later? (a) 10:29 (b) 10:09 (c) 10:19 (d) 11:19
  8. 8.A clock shows 6:15. What time will it show 131 minutes later? (a) 9:26 (b) 8:36 (c) 8:16 (d) 8:26
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  10. 10.A clock shows 11:03. What time will it show 80 minutes later? (a) 12:13 (b) 12:23 (c) 12:33 (d) 1:23
  11. 11.What is the smaller angle between the hour hand and the minute hand at 2:47? (in degrees) =
  12. 12.A clock shows 3:03. What time will it show 69 minutes later? (a) 4:22 (b) 4:02 (c) 5:12 (d) 4:12
  13. 13.A clock shows 12:36. What time will it show 76 minutes later? (a) 1:42 (b) 2:02 (c) 2:52 (d) 1:52
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 68 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 16 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:22? (in degrees) =
  22. 22.A clock shows 4:22. What time will it show 163 minutes later? (a) 8:05 (b) 7:05 (c) 6:55 (d) 7:15
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:55? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:14? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:00? (in degrees) =
  26. 26.A clock shows 11:27. What time will it show 129 minutes later? (a) 1:36 (b) 1:26 (c) 2:36 (d) 1:46
  27. 27.What is the smaller angle between the hour hand and the minute hand at 6:20? (in degrees) =
  28. 28.How many degrees does the hour hand of a clock turn in 26 minutes? =
  29. 29.A clock shows 11:00. What time will it show 23 minutes later? (a) 11:23 (b) 11:33 (c) 11:13 (d) 12:23
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  31. 31.A clock shows 9:26. What time will it show 170 minutes later? (a) 12:16 (b) 12:06 (c) 1:16 (d) 12:26
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  34. 34.A clock shows 2:47. What time will it show 76 minutes later? (a) 5:03 (b) 3:53 (c) 4:03 (d) 4:13
  35. 35.A clock shows 4:41. What time will it show 118 minutes later? (a) 6:29 (b) 7:39 (c) 6:39 (d) 6:49
  36. 36.How many degrees does the hour hand of a clock turn in 42 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:32? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 23 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 125 minutes? =

Answer key

  1. 18
  2. 157.5
  3. 8:03
  4. 55
  5. 176
  6. 25.5
  7. 10:19
  8. 8:26
  9. 2
  10. 12:23
  11. 161.5
  12. 4:12
  13. 1:52
  14. 169
  15. 34
  16. 96
  17. 49
  18. 24.5
  19. 7.5
  20. 10.5
  21. 91
  22. 7:05
  23. 87.5
  24. 137
  25. 60
  26. 1:36
  27. 70
  28. 13
  29. 11:23
  30. 31
  31. 12:16
  32. 72
  33. 52
  34. 4:03
  35. 6:39
  36. 21
  37. 86
  38. 129.5
  39. 138
  40. 62.5

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