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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 917 · 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.A clock shows 6:36. What time will it show 18 minutes later? (a) 6:44 (b) 7:04 (c) 7:54 (d) 6:54
  2. 2.How many degrees does the minute hand of a clock turn in 9 minutes? =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 4:00? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:34? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 30 minutes? =
  6. 6.A clock shows 11:30. What time will it show 48 minutes later? (a) 12:08 (b) 1:18 (c) 12:18 (d) 12:28
  7. 7.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  8. 8.How many degrees does the hour hand of a clock turn in 134 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:40? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 89 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:00? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 168 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:29? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 39 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 32 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  19. 19.A clock shows 3:39. What time will it show 102 minutes later? (a) 5:31 (b) 5:21 (c) 5:11 (d) 6:21
  20. 20.What is the smaller angle between the hour hand and the minute hand at 11:29? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 41 minutes? =
  22. 22.A clock shows 2:52. What time will it show 111 minutes later? (a) 4:43 (b) 4:33 (c) 5:43 (d) 4:53
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:03? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 56 minutes? =
  28. 28.A clock shows 2:28. What time will it show 154 minutes later? (a) 4:52 (b) 5:02 (c) 6:02 (d) 5:12
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:34? (in degrees) =
  31. 31.A clock shows 5:59. What time will it show 17 minutes later? (a) 6:06 (b) 6:26 (c) 7:16 (d) 6:16
  32. 32.A clock shows 10:29. What time will it show 90 minutes later? (a) 12:59 (b) 11:49 (c) 11:59 (d) 12:09
  33. 33.A clock shows 5:22. What time will it show 120 minutes later? (a) 7:32 (b) 8:22 (c) 7:22 (d) 7:12
  34. 34.What is the smaller angle between the hour hand and the minute hand at 4:37? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 4:10? (in degrees) =
  36. 36.A clock shows 11:28. What time will it show 54 minutes later? (a) 12:32 (b) 1:22 (c) 12:12 (d) 12:22
  37. 37.How many degrees does the minute hand of a clock turn in 36 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 20 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 99 minutes? =
  40. 40.A clock shows 7:44. What time will it show 101 minutes later? (a) 9:15 (b) 10:25 (c) 9:35 (d) 9:25

Answer key

  1. 6:54
  2. 54
  3. 120
  4. 23
  5. 180
  6. 12:18
  7. 133
  8. 67
  9. 170
  10. 44.5
  11. 39.5
  12. 90
  13. 84
  14. 99.5
  15. 234
  16. 16
  17. 141
  18. 126
  19. 5:21
  20. 170.5
  21. 246
  22. 4:43
  23. 163.5
  24. 168
  25. 71.5
  26. 36
  27. 336
  28. 5:02
  29. 110
  30. 53
  31. 6:16
  32. 11:59
  33. 7:22
  34. 83.5
  35. 65
  36. 12:22
  37. 216
  38. 120
  39. 49.5
  40. 9:25

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