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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 909 · 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 6:14? (in degrees) =
  2. 2.A clock shows 4:00. What time will it show 31 minutes later? (a) 4:31 (b) 4:21 (c) 4:41 (d) 5:31
  3. 3.How many degrees does the minute hand of a clock turn in 53 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 56 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 37 minutes? =
  6. 6.A clock shows 8:41. What time will it show 124 minutes later? (a) 10:55 (b) 10:35 (c) 10:45 (d) 11:45
  7. 7.A clock shows 12:10. What time will it show 124 minutes later? (a) 2:14 (b) 2:04 (c) 3:14 (d) 2:24
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:05? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 6 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 5 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 3:19? (in degrees) =
  12. 12.A clock shows 2:38. What time will it show 68 minutes later? (a) 4:46 (b) 3:56 (c) 3:36 (d) 3:46
  13. 13.How many degrees does the minute hand of a clock turn in 42 minutes? =
  14. 14.A clock shows 8:39. What time will it show 163 minutes later? (a) 11:32 (b) 11:12 (c) 12:22 (d) 11:22
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:57? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  17. 17.A clock shows 10:23. What time will it show 152 minutes later? (a) 12:45 (b) 1:05 (c) 1:55 (d) 12:55
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 30 minutes? =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 4:20? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:32? (in degrees) =
  22. 22.A clock shows 9:19. What time will it show 24 minutes later? (a) 10:43 (b) 9:43 (c) 9:33 (d) 9:53
  23. 23.A clock shows 12:48. What time will it show 31 minutes later? (a) 1:29 (b) 1:19 (c) 2:19 (d) 1:09
  24. 24.How many degrees does the hour hand of a clock turn in 36 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 8:06? (in degrees) =
  26. 26.A clock shows 8:14. What time will it show 98 minutes later? (a) 9:52 (b) 10:02 (c) 10:52 (d) 9:42
  27. 27.How many degrees does the hour hand of a clock turn in 32 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 5:33? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 93 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 144 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 6:00? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 79 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 13 minutes? =
  35. 35.A clock shows 2:18. What time will it show 148 minutes later? (a) 4:36 (b) 5:46 (c) 4:46 (d) 4:56
  36. 36.A clock shows 8:48. What time will it show 56 minutes later? (a) 9:34 (b) 9:44 (c) 10:44 (d) 9:54
  37. 37.A clock shows 11:09. What time will it show 93 minutes later? (a) 12:52 (b) 1:42 (c) 12:32 (d) 12:42
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:36? (in degrees) =
  39. 39.A clock shows 5:14. What time will it show 39 minutes later? (a) 6:03 (b) 6:53 (c) 5:43 (d) 5:53
  40. 40.How many degrees does the minute hand of a clock turn in 27 minutes? =

Answer key

  1. 103
  2. 4:31
  3. 318
  4. 336
  5. 222
  6. 10:45
  7. 2:14
  8. 92.5
  9. 36
  10. 30
  11. 14.5
  12. 3:46
  13. 252
  14. 11:22
  15. 16.5
  16. 170.5
  17. 12:55
  18. 164.5
  19. 180
  20. 10
  21. 94
  22. 9:43
  23. 1:19
  24. 18
  25. 153
  26. 9:52
  27. 16
  28. 31.5
  29. 46.5
  30. 72
  31. 47.5
  32. 180
  33. 39.5
  34. 6.5
  35. 4:46
  36. 9:44
  37. 12:42
  38. 168
  39. 5:53
  40. 162

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