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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 209 · 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.How many degrees does the hour hand of a clock turn in 88 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:58? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 36 minutes? =
  4. 4.A clock shows 2:37. What time will it show 170 minutes later? (a) 5:27 (b) 5:37 (c) 6:27 (d) 5:17
  5. 5.How many degrees does the minute hand of a clock turn in 38 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:02? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 146 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:38? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 59 minutes? =
  10. 10.A clock shows 8:42. What time will it show 51 minutes later? (a) 10:33 (b) 9:33 (c) 9:43 (d) 9:23
  11. 11.What is the smaller angle between the hour hand and the minute hand at 1:28? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 108 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  15. 15.A clock shows 9:00. What time will it show 133 minutes later? (a) 11:03 (b) 11:23 (c) 11:13 (d) 12:13
  16. 16.How many degrees does the hour hand of a clock turn in 53 minutes? =
  17. 17.A clock shows 1:15. What time will it show 14 minutes later? (a) 1:39 (b) 2:29 (c) 1:29 (d) 1:19
  18. 18.What is the smaller angle between the hour hand and the minute hand at 9:46? (in degrees) =
  19. 19.A clock shows 5:31. What time will it show 59 minutes later? (a) 6:40 (b) 6:20 (c) 6:30 (d) 7:30
  20. 20.A clock shows 1:05. What time will it show 138 minutes later? (a) 3:33 (b) 3:13 (c) 4:23 (d) 3:23
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  22. 22.A clock shows 5:06. What time will it show 83 minutes later? (a) 6:19 (b) 6:29 (c) 6:39 (d) 7:29
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:07? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 58 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 35 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:28? (in degrees) =
  27. 27.A clock shows 12:16. What time will it show 48 minutes later? (a) 12:54 (b) 2:04 (c) 1:04 (d) 1:14
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:32? (in degrees) =
  29. 29.A clock shows 12:15. What time will it show 55 minutes later? (a) 1:00 (b) 2:10 (c) 1:20 (d) 1:10
  30. 30.A clock shows 12:23. What time will it show 138 minutes later? (a) 2:31 (b) 2:41 (c) 2:51 (d) 3:41
  31. 31.A clock shows 4:47. What time will it show 31 minutes later? (a) 5:28 (b) 5:08 (c) 6:18 (d) 5:18
  32. 32.How many degrees does the hour hand of a clock turn in 52 minutes? =
  33. 33.A clock shows 7:17. What time will it show 40 minutes later? (a) 7:57 (b) 7:47 (c) 8:07 (d) 8:57
  34. 34.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 142 minutes? =
  36. 36.How many degrees does the minute hand of a clock turn in 57 minutes? =
  37. 37.A clock shows 9:29. What time will it show 85 minutes later? (a) 11:04 (b) 10:44 (c) 10:54 (d) 11:54
  38. 38.How many degrees does the hour hand of a clock turn in 100 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 29 minutes? =
  40. 40.A clock shows 11:05. What time will it show 12 minutes later? (a) 11:27 (b) 11:17 (c) 12:17 (d) 11:07

Answer key

  1. 44
  2. 109
  3. 216
  4. 5:27
  5. 228
  6. 131
  7. 73
  8. 59
  9. 354
  10. 9:33
  11. 124
  12. 130
  13. 54
  14. 175.5
  15. 11:13
  16. 26.5
  17. 1:29
  18. 17
  19. 6:30
  20. 3:23
  21. 26
  22. 6:29
  23. 141.5
  24. 348
  25. 210
  26. 4
  27. 1:04
  28. 34
  29. 1:10
  30. 2:41
  31. 5:18
  32. 26
  33. 7:57
  34. 101.5
  35. 71
  36. 342
  37. 10:54
  38. 50
  39. 174
  40. 11:17

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