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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 356 · 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 5:14? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  4. 4.A clock shows 8:06. What time will it show 169 minutes later? (a) 11:55 (b) 11:05 (c) 10:45 (d) 10:55
  5. 5.How many degrees does the minute hand of a clock turn in 39 minutes? =
  6. 6.A clock shows 6:33. What time will it show 45 minutes later? (a) 7:28 (b) 7:18 (c) 7:08 (d) 8:18
  7. 7.A clock shows 2:39. What time will it show 164 minutes later? (a) 5:33 (b) 5:13 (c) 5:23 (d) 6:23
  8. 8.A clock shows 6:48. What time will it show 144 minutes later? (a) 9:02 (b) 9:12 (c) 9:22 (d) 10:12
  9. 9.How many degrees does the minute hand of a clock turn in 3 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  11. 11.A clock shows 6:57. What time will it show 24 minutes later? (a) 7:11 (b) 7:21 (c) 7:31 (d) 8:21
  12. 12.How many degrees does the minute hand of a clock turn in 9 minutes? =
  13. 13.A clock shows 9:08. What time will it show 75 minutes later? (a) 10:33 (b) 10:23 (c) 11:23 (d) 10:13
  14. 14.A clock shows 1:32. What time will it show 15 minutes later? (a) 1:47 (b) 1:37 (c) 1:57 (d) 2:47
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:50? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 7:13? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:52? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:25? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  20. 20.A clock shows 2:28. What time will it show 98 minutes later? (a) 3:56 (b) 5:06 (c) 4:16 (d) 4:06
  21. 21.How many degrees does the hour hand of a clock turn in 45 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 125 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:40? (in degrees) =
  25. 25.A clock shows 8:25. What time will it show 60 minutes later? (a) 10:25 (b) 9:15 (c) 9:35 (d) 9:25
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  27. 27.A clock shows 9:53. What time will it show 45 minutes later? (a) 11:38 (b) 10:28 (c) 10:38 (d) 10:48
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:32? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 2:10? (in degrees) =
  30. 30.A clock shows 1:57. What time will it show 102 minutes later? (a) 3:49 (b) 3:29 (c) 4:39 (d) 3:39
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 9:23? (in degrees) =
  33. 33.A clock shows 4:27. What time will it show 126 minutes later? (a) 7:33 (b) 6:33 (c) 6:43 (d) 6:23
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:48? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:31? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:42? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:50? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:20? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 64 minutes? =
  40. 40.A clock shows 3:06. What time will it show 145 minutes later? (a) 5:21 (b) 5:41 (c) 6:31 (d) 5:31

Answer key

  1. 73
  2. 158
  3. 63
  4. 10:55
  5. 234
  6. 7:18
  7. 5:23
  8. 9:12
  9. 18
  10. 109.5
  11. 7:21
  12. 54
  13. 10:23
  14. 1:47
  15. 55
  16. 138.5
  17. 106
  18. 17.5
  19. 120
  20. 4:06
  21. 22.5
  22. 62.5
  23. 165.5
  24. 160
  25. 9:25
  26. 16.5
  27. 10:38
  28. 26
  29. 5
  30. 3:39
  31. 128
  32. 143.5
  33. 6:33
  34. 84
  35. 80.5
  36. 21
  37. 175
  38. 50
  39. 32
  40. 5:31

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