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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 670 · 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 1:04? (in degrees) =
  2. 2.A clock shows 12:08. What time will it show 87 minutes later? (a) 1:35 (b) 2:35 (c) 1:45 (d) 1:25
  3. 3.How many degrees does the hour hand of a clock turn in 155 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 48 minutes? =
  5. 5.A clock shows 9:11. What time will it show 73 minutes later? (a) 10:24 (b) 11:24 (c) 10:34 (d) 10:14
  6. 6.A clock shows 2:33. What time will it show 80 minutes later? (a) 3:53 (b) 3:43 (c) 4:53 (d) 4:03
  7. 7.A clock shows 12:23. What time will it show 49 minutes later? (a) 1:02 (b) 2:12 (c) 1:12 (d) 1:22
  8. 8.How many degrees does the minute hand of a clock turn in 59 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  11. 11.A clock shows 7:53. What time will it show 52 minutes later? (a) 8:35 (b) 9:45 (c) 8:55 (d) 8:45
  12. 12.A clock shows 5:43. What time will it show 60 minutes later? (a) 6:33 (b) 7:43 (c) 6:43 (d) 6:53
  13. 13.A clock shows 3:36. What time will it show 23 minutes later? (a) 4:09 (b) 4:59 (c) 3:59 (d) 3:49
  14. 14.How many degrees does the hour hand of a clock turn in 64 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 5:15? (in degrees) =
  16. 16.A clock shows 9:40. What time will it show 139 minutes later? (a) 11:49 (b) 11:59 (c) 12:09 (d) 12:59
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:05? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:30? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 9:51? (in degrees) =
  21. 21.A clock shows 4:04. What time will it show 153 minutes later? (a) 7:37 (b) 6:37 (c) 6:47 (d) 6:27
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 2:38? (in degrees) =
  24. 24.A clock shows 2:08. What time will it show 53 minutes later? (a) 4:01 (b) 2:51 (c) 3:11 (d) 3:01
  25. 25.How many degrees does the hour hand of a clock turn in 99 minutes? =
  26. 26.A clock shows 10:21. What time will it show 60 minutes later? (a) 11:31 (b) 11:11 (c) 12:21 (d) 11:21
  27. 27.How many degrees does the minute hand of a clock turn in 45 minutes? =
  28. 28.A clock shows 2:10. What time will it show 128 minutes later? (a) 5:18 (b) 4:08 (c) 4:28 (d) 4:18
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:41? (in degrees) =
  30. 30.A clock shows 5:47. What time will it show 153 minutes later? (a) 8:20 (b) 9:20 (c) 8:10 (d) 8:30
  31. 31.How many degrees does the minute hand of a clock turn in 18 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:01? (in degrees) =
  33. 33.How many degrees does the minute hand of a clock turn in 16 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:35? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 2:56? (in degrees) =
  36. 36.A clock shows 1:29. What time will it show 140 minutes later? (a) 4:49 (b) 3:59 (c) 3:49 (d) 3:39
  37. 37.What is the smaller angle between the hour hand and the minute hand at 2:59? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  40. 40.A clock shows 10:16. What time will it show 164 minutes later? (a) 1:00 (b) 12:50 (c) 1:10 (d) 2:00

Answer key

  1. 8
  2. 1:35
  3. 77.5
  4. 24
  5. 10:24
  6. 3:53
  7. 1:12
  8. 354
  9. 131
  10. 34
  11. 8:45
  12. 6:43
  13. 3:59
  14. 32
  15. 67.5
  16. 11:59
  17. 30.5
  18. 87.5
  19. 165
  20. 10.5
  21. 6:37
  22. 64.5
  23. 149
  24. 3:01
  25. 49.5
  26. 11:21
  27. 270
  28. 4:18
  29. 14.5
  30. 8:20
  31. 108
  32. 35.5
  33. 96
  34. 137.5
  35. 112
  36. 3:49
  37. 95.5
  38. 148
  39. 12.5
  40. 1:00

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