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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 516 · 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 8:48? (in degrees) =
  2. 2.A clock shows 1:37. What time will it show 162 minutes later? (a) 4:19 (b) 4:09 (c) 5:19 (d) 4:29
  3. 3.What is the smaller angle between the hour hand and the minute hand at 3:29? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  5. 5.A clock shows 11:13. What time will it show 167 minutes later? (a) 3:00 (b) 2:00 (c) 2:10 (d) 1:50
  6. 6.How many degrees does the hour hand of a clock turn in 148 minutes? =
  7. 7.A clock shows 5:35. What time will it show 152 minutes later? (a) 8:17 (b) 8:07 (c) 7:57 (d) 9:07
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:37? (in degrees) =
  9. 9.A clock shows 3:26. What time will it show 120 minutes later? (a) 6:26 (b) 5:16 (c) 5:26 (d) 5:36
  10. 10.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  11. 11.How many degrees does the minute hand of a clock turn in 30 minutes? =
  12. 12.A clock shows 1:02. What time will it show 158 minutes later? (a) 3:30 (b) 4:40 (c) 3:40 (d) 3:50
  13. 13.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 10:57? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 4:09? (in degrees) =
  16. 16.How many degrees does the minute hand of a clock turn in 21 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 9:50? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  19. 19.How many degrees does the hour hand of a clock turn in 32 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  22. 22.A clock shows 1:34. What time will it show 114 minutes later? (a) 4:28 (b) 3:28 (c) 3:38 (d) 3:18
  23. 23.How many degrees does the minute hand of a clock turn in 57 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:33? (in degrees) =
  25. 25.A clock shows 8:15. What time will it show 138 minutes later? (a) 10:43 (b) 11:33 (c) 10:23 (d) 10:33
  26. 26.How many degrees does the minute hand of a clock turn in 6 minutes? =
  27. 27.How many degrees does the hour hand of a clock turn in 67 minutes? =
  28. 28.How many degrees does the minute hand of a clock turn in 18 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:29? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 61 minutes? =
  31. 31.A clock shows 12:41. What time will it show 10 minutes later? (a) 1:01 (b) 12:41 (c) 12:51 (d) 1:51
  32. 32.What is the smaller angle between the hour hand and the minute hand at 2:27? (in degrees) =
  33. 33.A clock shows 1:45. What time will it show 55 minutes later? (a) 3:40 (b) 2:50 (c) 2:40 (d) 2:30
  34. 34.How many degrees does the minute hand of a clock turn in 37 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 54 minutes? =
  36. 36.How many degrees does the hour hand of a clock turn in 149 minutes? =
  37. 37.A clock shows 11:54. What time will it show 94 minutes later? (a) 1:28 (b) 1:38 (c) 1:18 (d) 2:28
  38. 38.How many degrees does the minute hand of a clock turn in 19 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =

Answer key

  1. 24
  2. 4:19
  3. 69.5
  4. 13.5
  5. 2:00
  6. 74
  7. 8:07
  8. 53.5
  9. 5:26
  10. 128
  11. 180
  12. 3:40
  13. 135.5
  14. 13.5
  15. 70.5
  16. 126
  17. 5
  18. 99.5
  19. 16
  20. 87.5
  21. 132.5
  22. 3:28
  23. 342
  24. 88.5
  25. 10:33
  26. 36
  27. 33.5
  28. 108
  29. 129.5
  30. 30.5
  31. 12:51
  32. 88.5
  33. 2:40
  34. 222
  35. 27
  36. 74.5
  37. 1:28
  38. 114
  39. 7.5
  40. 72

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