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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 914 · 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 12:40. What time will it show 45 minutes later? (a) 2:25 (b) 1:25 (c) 1:15 (d) 1:35
  2. 2.A clock shows 9:03. What time will it show 18 minutes later? (a) 9:21 (b) 9:31 (c) 9:11 (d) 10:21
  3. 3.How many degrees does the minute hand of a clock turn in 18 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 3:09? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:55? (in degrees) =
  6. 6.How many degrees does the minute hand of a clock turn in 13 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  8. 8.A clock shows 5:18. What time will it show 64 minutes later? (a) 6:12 (b) 6:32 (c) 7:22 (d) 6:22
  9. 9.How many degrees does the minute hand of a clock turn in 55 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:49? (in degrees) =
  11. 11.A clock shows 7:01. What time will it show 72 minutes later? (a) 8:23 (b) 9:13 (c) 8:13 (d) 8:03
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:19? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 6:22? (in degrees) =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 4:29? (in degrees) =
  15. 15.How many degrees does the hour hand of a clock turn in 78 minutes? =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 2:43? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 10:16? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 10:53? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 6:32? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 10:50? (in degrees) =
  21. 21.A clock shows 3:22. What time will it show 66 minutes later? (a) 4:18 (b) 5:28 (c) 4:28 (d) 4:38
  22. 22.A clock shows 3:10. What time will it show 113 minutes later? (a) 5:03 (b) 5:13 (c) 4:53 (d) 6:03
  23. 23.How many degrees does the minute hand of a clock turn in 35 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:53? (in degrees) =
  25. 25.A clock shows 10:26. What time will it show 68 minutes later? (a) 11:44 (b) 11:34 (c) 11:24 (d) 12:34
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:14? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 9:10? (in degrees) =
  29. 29.A clock shows 4:38. What time will it show 80 minutes later? (a) 6:08 (b) 5:58 (c) 6:58 (d) 5:48
  30. 30.What is the smaller angle between the hour hand and the minute hand at 6:55? (in degrees) =
  31. 31.How many degrees does the hour hand of a clock turn in 173 minutes? =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 6:26? (in degrees) =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 3:28? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 2:06? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 3:54? (in degrees) =
  38. 38.A clock shows 1:16. What time will it show 140 minutes later? (a) 3:36 (b) 4:36 (c) 3:46 (d) 3:26
  39. 39.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  40. 40.A clock shows 2:33. What time will it show 122 minutes later? (a) 4:35 (b) 5:35 (c) 4:45 (d) 4:25

Answer key

  1. 1:25
  2. 9:21
  3. 108
  4. 40.5
  5. 27.5
  6. 78
  7. 64.5
  8. 6:22
  9. 330
  10. 29.5
  11. 8:13
  12. 44.5
  13. 59
  14. 39.5
  15. 39
  16. 176.5
  17. 148
  18. 8.5
  19. 4
  20. 25
  21. 4:28
  22. 5:03
  23. 210
  24. 158.5
  25. 11:34
  26. 47
  27. 74.5
  28. 145
  29. 5:58
  30. 122.5
  31. 86.5
  32. 166
  33. 72.5
  34. 37
  35. 64
  36. 27
  37. 153
  38. 3:36
  39. 80
  40. 4:35

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