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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 814 · 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 10:18? (in degrees) =
  2. 2.A clock shows 12:16. What time will it show 144 minutes later? (a) 2:50 (b) 2:30 (c) 3:40 (d) 2:40
  3. 3.A clock shows 5:44. What time will it show 128 minutes later? (a) 7:42 (b) 8:52 (c) 8:02 (d) 7:52
  4. 4.A clock shows 10:45. What time will it show 45 minutes later? (a) 11:40 (b) 12:30 (c) 11:20 (d) 11:30
  5. 5.What is the smaller angle between the hour hand and the minute hand at 4:34? (in degrees) =
  6. 6.A clock shows 6:11. What time will it show 123 minutes later? (a) 8:24 (b) 8:14 (c) 8:04 (d) 9:14
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  8. 8.A clock shows 4:05. What time will it show 110 minutes later? (a) 6:55 (b) 5:45 (c) 5:55 (d) 6:05
  9. 9.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:43? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 8 minutes? =
  13. 13.A clock shows 11:45. What time will it show 158 minutes later? (a) 2:23 (b) 2:13 (c) 2:33 (d) 3:23
  14. 14.How many degrees does the hour hand of a clock turn in 130 minutes? =
  15. 15.How many degrees does the hour hand of a clock turn in 26 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:36? (in degrees) =
  17. 17.A clock shows 9:00. What time will it show 34 minutes later? (a) 9:44 (b) 10:34 (c) 9:34 (d) 9:24
  18. 18.What is the smaller angle between the hour hand and the minute hand at 8:16? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  20. 20.How many degrees does the hour hand of a clock turn in 70 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 6 minutes? =
  22. 22.A clock shows 7:41. What time will it show 27 minutes later? (a) 8:18 (b) 9:08 (c) 7:58 (d) 8:08
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  24. 24.A clock shows 9:12. What time will it show 51 minutes later? (a) 10:13 (b) 9:53 (c) 11:03 (d) 10:03
  25. 25.What is the smaller angle between the hour hand and the minute hand at 6:40? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 9:31? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 2:17? (in degrees) =
  29. 29.How many degrees does the minute hand of a clock turn in 3 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:11? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  34. 34.How many degrees does the hour hand of a clock turn in 170 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 5:44? (in degrees) =
  36. 36.A clock shows 1:16. What time will it show 132 minutes later? (a) 4:28 (b) 3:28 (c) 3:18 (d) 3:38
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  38. 38.A clock shows 6:40. What time will it show 120 minutes later? (a) 8:40 (b) 8:50 (c) 9:40 (d) 8:30
  39. 39.How many degrees does the hour hand of a clock turn in 46 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =

Answer key

  1. 159
  2. 2:40
  3. 7:52
  4. 11:30
  5. 67
  6. 8:14
  7. 23.5
  8. 5:55
  9. 16.5
  10. 33
  11. 26.5
  12. 48
  13. 2:23
  14. 65
  15. 13
  16. 102
  17. 9:34
  18. 152
  19. 164.5
  20. 35
  21. 36
  22. 8:08
  23. 24
  24. 10:03
  25. 40
  26. 99.5
  27. 168
  28. 33.5
  29. 18
  30. 65
  31. 113.5
  32. 119.5
  33. 134
  34. 85
  35. 92
  36. 3:28
  37. 180
  38. 8:40
  39. 23
  40. 102

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