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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 695 · 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 4:01? (in degrees) =
  2. 2.A clock shows 5:38. What time will it show 89 minutes later? (a) 6:57 (b) 8:07 (c) 7:17 (d) 7:07
  3. 3.A clock shows 12:39. What time will it show 57 minutes later? (a) 1:36 (b) 2:36 (c) 1:26 (d) 1:46
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:38? (in degrees) =
  5. 5.How many degrees does the minute hand of a clock turn in 20 minutes? =
  6. 6.How many degrees does the hour hand of a clock turn in 146 minutes? =
  7. 7.A clock shows 1:05. What time will it show 100 minutes later? (a) 2:45 (b) 3:45 (c) 2:55 (d) 2:35
  8. 8.How many degrees does the hour hand of a clock turn in 157 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 50 minutes? =
  10. 10.How many degrees does the hour hand of a clock turn in 68 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:27? (in degrees) =
  12. 12.A clock shows 10:57. What time will it show 168 minutes later? (a) 1:55 (b) 1:35 (c) 2:45 (d) 1:45
  13. 13.A clock shows 3:21. What time will it show 21 minutes later? (a) 3:32 (b) 4:42 (c) 3:42 (d) 3:52
  14. 14.How many degrees does the minute hand of a clock turn in 36 minutes? =
  15. 15.A clock shows 12:57. What time will it show 70 minutes later? (a) 1:57 (b) 3:07 (c) 2:07 (d) 2:17
  16. 16.What is the smaller angle between the hour hand and the minute hand at 3:37? (in degrees) =
  17. 17.A clock shows 8:50. What time will it show 30 minutes later? (a) 9:20 (b) 9:10 (c) 9:30 (d) 10:20
  18. 18.A clock shows 3:36. What time will it show 99 minutes later? (a) 5:05 (b) 5:25 (c) 6:15 (d) 5:15
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:22? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  21. 21.A clock shows 2:30. What time will it show 170 minutes later? (a) 5:10 (b) 5:30 (c) 5:20 (d) 6:20
  22. 22.A clock shows 8:19. What time will it show 58 minutes later? (a) 9:07 (b) 10:17 (c) 9:17 (d) 9:27
  23. 23.How many degrees does the minute hand of a clock turn in 56 minutes? =
  24. 24.A clock shows 10:43. What time will it show 39 minutes later? (a) 11:12 (b) 11:22 (c) 12:22 (d) 11:32
  25. 25.A clock shows 2:21. What time will it show 96 minutes later? (a) 4:07 (b) 3:57 (c) 3:47 (d) 4:57
  26. 26.A clock shows 5:11. What time will it show 22 minutes later? (a) 5:43 (b) 5:33 (c) 6:33 (d) 5:23
  27. 27.A clock shows 3:18. What time will it show 53 minutes later? (a) 5:11 (b) 4:01 (c) 4:11 (d) 4:21
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:39? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 171 minutes? =
  30. 30.How many degrees does the hour hand of a clock turn in 123 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:04? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  33. 33.A clock shows 3:53. What time will it show 83 minutes later? (a) 5:16 (b) 5:26 (c) 5:06 (d) 6:16
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:24? (in degrees) =
  35. 35.A clock shows 12:26. What time will it show 15 minutes later? (a) 12:51 (b) 12:31 (c) 1:41 (d) 12:41
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  37. 37.A clock shows 3:54. What time will it show 153 minutes later? (a) 6:37 (b) 6:27 (c) 6:17 (d) 7:27
  38. 38.A clock shows 9:09. What time will it show 164 minutes later? (a) 12:03 (b) 11:43 (c) 11:53 (d) 12:53
  39. 39.How many degrees does the minute hand of a clock turn in 10 minutes? =
  40. 40.How many degrees does the hour hand of a clock turn in 169 minutes? =

Answer key

  1. 114.5
  2. 7:07
  3. 1:36
  4. 179
  5. 120
  6. 73
  7. 2:45
  8. 78.5
  9. 300
  10. 34
  11. 118.5
  12. 1:45
  13. 3:42
  14. 216
  15. 2:07
  16. 113.5
  17. 9:20
  18. 5:15
  19. 29
  20. 96.5
  21. 5:20
  22. 9:17
  23. 336
  24. 11:22
  25. 3:57
  26. 5:33
  27. 4:11
  28. 124.5
  29. 85.5
  30. 61.5
  31. 158
  32. 177.5
  33. 5:16
  34. 18
  35. 12:41
  36. 72
  37. 6:27
  38. 11:53
  39. 60
  40. 84.5

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