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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 320 · 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 12:45? (in degrees) =
  2. 2.A clock shows 9:52. What time will it show 105 minutes later? (a) 11:27 (b) 11:47 (c) 11:37 (d) 12:37
  3. 3.A clock shows 3:05. What time will it show 75 minutes later? (a) 4:20 (b) 5:20 (c) 4:10 (d) 4:30
  4. 4.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  5. 5.A clock shows 10:32. What time will it show 61 minutes later? (a) 11:43 (b) 12:33 (c) 11:23 (d) 11:33
  6. 6.How many degrees does the minute hand of a clock turn in 35 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 53 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  10. 10.How many degrees does the minute hand of a clock turn in 16 minutes? =
  11. 11.A clock shows 6:11. What time will it show 159 minutes later? (a) 9:50 (b) 8:40 (c) 9:00 (d) 8:50
  12. 12.How many degrees does the minute hand of a clock turn in 30 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 43 minutes? =
  15. 15.How many degrees does the minute hand of a clock turn in 47 minutes? =
  16. 16.A clock shows 12:21. What time will it show 10 minutes later? (a) 1:31 (b) 12:41 (c) 12:21 (d) 12:31
  17. 17.How many degrees does the hour hand of a clock turn in 15 minutes? =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 2:41? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 1:24? (in degrees) =
  21. 21.How many degrees does the minute hand of a clock turn in 54 minutes? =
  22. 22.A clock shows 3:24. What time will it show 44 minutes later? (a) 4:08 (b) 3:58 (c) 4:18 (d) 5:08
  23. 23.A clock shows 9:34. What time will it show 74 minutes later? (a) 10:38 (b) 10:58 (c) 10:48 (d) 11:48
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  25. 25.A clock shows 10:30. What time will it show 49 minutes later? (a) 11:29 (b) 11:09 (c) 12:19 (d) 11:19
  26. 26.How many degrees does the minute hand of a clock turn in 7 minutes? =
  27. 27.A clock shows 7:16. What time will it show 47 minutes later? (a) 7:53 (b) 9:03 (c) 8:13 (d) 8:03
  28. 28.How many degrees does the minute hand of a clock turn in 25 minutes? =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 31 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 6:59? (in degrees) =
  32. 32.A clock shows 10:14. What time will it show 41 minutes later? (a) 11:55 (b) 10:45 (c) 11:05 (d) 10:55
  33. 33.A clock shows 4:20. What time will it show 154 minutes later? (a) 7:04 (b) 6:54 (c) 7:54 (d) 6:44
  34. 34.A clock shows 3:14. What time will it show 88 minutes later? (a) 4:32 (b) 4:42 (c) 5:42 (d) 4:52
  35. 35.A clock shows 12:56. What time will it show 165 minutes later? (a) 3:41 (b) 3:31 (c) 3:51 (d) 4:41
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:45? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 40 minutes? =
  38. 38.A clock shows 1:45. What time will it show 110 minutes later? (a) 3:35 (b) 4:35 (c) 3:25 (d) 3:45
  39. 39.How many degrees does the minute hand of a clock turn in 8 minutes? =
  40. 40.A clock shows 6:40. What time will it show 93 minutes later? (a) 8:23 (b) 8:03 (c) 9:13 (d) 8:13

Answer key

  1. 112.5
  2. 11:37
  3. 4:20
  4. 138
  5. 11:33
  6. 210
  7. 138
  8. 318
  9. 149.5
  10. 96
  11. 8:50
  12. 180
  13. 16
  14. 21.5
  15. 282
  16. 12:31
  17. 7.5
  18. 131
  19. 165.5
  20. 102
  21. 324
  22. 4:08
  23. 10:48
  24. 42
  25. 11:19
  26. 42
  27. 8:03
  28. 150
  29. 128
  30. 186
  31. 144.5
  32. 10:55
  33. 6:54
  34. 4:42
  35. 3:41
  36. 22.5
  37. 20
  38. 3:35
  39. 48
  40. 8:13

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