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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 324 · 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 6:52. What time will it show 119 minutes later? (a) 8:41 (b) 9:01 (c) 8:51 (d) 9:51
  2. 2.What is the smaller angle between the hour hand and the minute hand at 9:04? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 15 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 91 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 7:38? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 3:15? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 12:10? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 37 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 36 minutes? =
  10. 10.A clock shows 1:04. What time will it show 124 minutes later? (a) 2:58 (b) 3:18 (c) 3:08 (d) 4:08
  11. 11.What is the smaller angle between the hour hand and the minute hand at 7:19? (in degrees) =
  12. 12.A clock shows 1:33. What time will it show 40 minutes later? (a) 2:23 (b) 2:13 (c) 2:03 (d) 3:13
  13. 13.A clock shows 6:41. What time will it show 10 minutes later? (a) 7:01 (b) 6:41 (c) 6:51 (d) 7:51
  14. 14.How many degrees does the hour hand of a clock turn in 143 minutes? =
  15. 15.A clock shows 10:54. What time will it show 168 minutes later? (a) 1:32 (b) 2:42 (c) 1:42 (d) 1:52
  16. 16.A clock shows 7:18. What time will it show 150 minutes later? (a) 9:58 (b) 9:38 (c) 9:48 (d) 10:48
  17. 17.What is the smaller angle between the hour hand and the minute hand at 1:06? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  19. 19.A clock shows 1:14. What time will it show 104 minutes later? (a) 2:58 (b) 3:08 (c) 3:58 (d) 2:48
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:38? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  22. 22.A clock shows 2:46. What time will it show 123 minutes later? (a) 5:49 (b) 4:59 (c) 4:39 (d) 4:49
  23. 23.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  24. 24.A clock shows 4:12. What time will it show 13 minutes later? (a) 4:15 (b) 4:35 (c) 5:25 (d) 4:25
  25. 25.A clock shows 10:13. What time will it show 95 minutes later? (a) 11:38 (b) 11:58 (c) 12:48 (d) 11:48
  26. 26.A clock shows 8:01. What time will it show 31 minutes later? (a) 8:22 (b) 9:32 (c) 8:42 (d) 8:32
  27. 27.What is the smaller angle between the hour hand and the minute hand at 10:11? (in degrees) =
  28. 28.A clock shows 10:27. What time will it show 159 minutes later? (a) 12:56 (b) 1:16 (c) 2:06 (d) 1:06
  29. 29.What is the smaller angle between the hour hand and the minute hand at 12:41? (in degrees) =
  30. 30.How many degrees does the hour hand of a clock turn in 174 minutes? =
  31. 31.A clock shows 5:35. What time will it show 80 minutes later? (a) 6:45 (b) 7:05 (c) 6:55 (d) 7:55
  32. 32.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 22 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 1:07? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 128 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 3:57? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 10 minutes? =
  38. 38.A clock shows 6:30. What time will it show 91 minutes later? (a) 8:11 (b) 8:01 (c) 7:51 (d) 9:01
  39. 39.A clock shows 4:32. What time will it show 170 minutes later? (a) 7:12 (b) 7:32 (c) 8:22 (d) 7:22
  40. 40.What is the smaller angle between the hour hand and the minute hand at 11:12? (in degrees) =

Answer key

  1. 8:51
  2. 112
  3. 90
  4. 45.5
  5. 1
  6. 7.5
  7. 55
  8. 222
  9. 216
  10. 3:08
  11. 105.5
  12. 2:13
  13. 6:51
  14. 71.5
  15. 1:42
  16. 9:48
  17. 3
  18. 138
  19. 2:58
  20. 31
  21. 179.5
  22. 4:49
  23. 42
  24. 4:25
  25. 11:48
  26. 8:32
  27. 120.5
  28. 1:06
  29. 134.5
  30. 87
  31. 6:55
  32. 47.5
  33. 132
  34. 8.5
  35. 64
  36. 136.5
  37. 5
  38. 8:01
  39. 7:22
  40. 96

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