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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 495 · 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 hour hand of a clock turn in 69 minutes? =
  2. 2.How many degrees does the minute hand of a clock turn in 54 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 1:37? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:38? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 12:14? (in degrees) =
  6. 6.A clock shows 4:16. What time will it show 86 minutes later? (a) 5:52 (b) 5:42 (c) 6:42 (d) 5:32
  7. 7.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  8. 8.A clock shows 2:59. What time will it show 80 minutes later? (a) 4:29 (b) 4:09 (c) 5:19 (d) 4:19
  9. 9.What is the smaller angle between the hour hand and the minute hand at 9:17? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 172 minutes? =
  11. 11.A clock shows 11:00. What time will it show 167 minutes later? (a) 1:57 (b) 2:47 (c) 1:37 (d) 1:47
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:12? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 3:01? (in degrees) =
  15. 15.A clock shows 10:37. What time will it show 155 minutes later? (a) 1:22 (b) 1:02 (c) 1:12 (d) 2:12
  16. 16.How many degrees does the minute hand of a clock turn in 53 minutes? =
  17. 17.A clock shows 2:17. What time will it show 104 minutes later? (a) 5:01 (b) 4:01 (c) 4:11 (d) 3:51
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:59? (in degrees) =
  19. 19.A clock shows 7:26. What time will it show 146 minutes later? (a) 9:42 (b) 9:52 (c) 10:52 (d) 10:02
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 167 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 44 minutes? =
  26. 26.A clock shows 8:33. What time will it show 73 minutes later? (a) 10:46 (b) 9:36 (c) 9:46 (d) 9:56
  27. 27.What is the smaller angle between the hour hand and the minute hand at 5:13? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 35 minutes? =
  30. 30.A clock shows 1:26. What time will it show 124 minutes later? (a) 3:40 (b) 4:30 (c) 3:30 (d) 3:20
  31. 31.What is the smaller angle between the hour hand and the minute hand at 7:01? (in degrees) =
  32. 32.A clock shows 10:37. What time will it show 56 minutes later? (a) 11:23 (b) 12:33 (c) 11:43 (d) 11:33
  33. 33.A clock shows 3:53. What time will it show 128 minutes later? (a) 6:11 (b) 5:51 (c) 7:01 (d) 6:01
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  35. 35.A clock shows 1:47. What time will it show 30 minutes later? (a) 2:17 (b) 2:27 (c) 2:07 (d) 3:17
  36. 36.A clock shows 9:10. What time will it show 12 minutes later? (a) 9:12 (b) 10:22 (c) 9:32 (d) 9:22
  37. 37.A clock shows 4:33. What time will it show 26 minutes later? (a) 5:59 (b) 4:49 (c) 5:09 (d) 4:59
  38. 38.How many degrees does the minute hand of a clock turn in 34 minutes? =
  39. 39.A clock shows 6:12. What time will it show 58 minutes later? (a) 7:20 (b) 7:00 (c) 8:10 (d) 7:10
  40. 40.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =

Answer key

  1. 34.5
  2. 324
  3. 173.5
  4. 61
  5. 77
  6. 5:42
  7. 47
  8. 4:19
  9. 176.5
  10. 86
  11. 1:47
  12. 54
  13. 136.5
  14. 84.5
  15. 1:12
  16. 318
  17. 4:01
  18. 155.5
  19. 9:52
  20. 123.5
  21. 52.5
  22. 83.5
  23. 157.5
  24. 18
  25. 22
  26. 9:46
  27. 78.5
  28. 118
  29. 210
  30. 3:30
  31. 155.5
  32. 11:33
  33. 6:01
  34. 70.5
  35. 2:17
  36. 9:22
  37. 4:59
  38. 204
  39. 7:10
  40. 141.5

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