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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 170 · 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 5:11. What time will it show 144 minutes later? (a) 7:35 (b) 8:35 (c) 7:45 (d) 7:25
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:08? (in degrees) =
  3. 3.A clock shows 2:28. What time will it show 152 minutes later? (a) 4:50 (b) 5:10 (c) 5:00 (d) 6:00
  4. 4.How many degrees does the minute hand of a clock turn in 25 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:55? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 1:01? (in degrees) =
  7. 7.A clock shows 11:51. What time will it show 128 minutes later? (a) 1:49 (b) 2:59 (c) 1:59 (d) 2:09
  8. 8.What is the smaller angle between the hour hand and the minute hand at 1:19? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 5 minutes? =
  10. 10.A clock shows 2:13. What time will it show 18 minutes later? (a) 2:31 (b) 3:31 (c) 2:21 (d) 2:41
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:18? (in degrees) =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 8:33? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 10:49? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 43 minutes? =
  15. 15.A clock shows 9:31. What time will it show 115 minutes later? (a) 11:26 (b) 11:16 (c) 11:36 (d) 12:26
  16. 16.How many degrees does the hour hand of a clock turn in 171 minutes? =
  17. 17.How many degrees does the hour hand of a clock turn in 56 minutes? =
  18. 18.A clock shows 1:00. What time will it show 160 minutes later? (a) 4:40 (b) 3:50 (c) 3:30 (d) 3:40
  19. 19.How many degrees does the minute hand of a clock turn in 2 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 9 minutes? =
  21. 21.How many degrees does the minute hand of a clock turn in 22 minutes? =
  22. 22.How many degrees does the minute hand of a clock turn in 11 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 18 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  25. 25.A clock shows 12:55. What time will it show 39 minutes later? (a) 2:34 (b) 1:24 (c) 1:34 (d) 1:44
  26. 26.A clock shows 1:32. What time will it show 41 minutes later? (a) 2:13 (b) 3:13 (c) 2:23 (d) 2:03
  27. 27.What is the smaller angle between the hour hand and the minute hand at 4:48? (in degrees) =
  28. 28.A clock shows 11:44. What time will it show 37 minutes later? (a) 12:21 (b) 1:21 (c) 12:31 (d) 12:11
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  30. 30.How many degrees does the minute hand of a clock turn in 15 minutes? =
  31. 31.How many degrees does the hour hand of a clock turn in 10 minutes? =
  32. 32.A clock shows 12:07. What time will it show 134 minutes later? (a) 3:21 (b) 2:21 (c) 2:11 (d) 2:31
  33. 33.How many degrees does the hour hand of a clock turn in 165 minutes? =
  34. 34.A clock shows 2:31. What time will it show 56 minutes later? (a) 3:37 (b) 3:27 (c) 4:27 (d) 3:17
  35. 35.A clock shows 3:10. What time will it show 65 minutes later? (a) 4:05 (b) 4:25 (c) 4:15 (d) 5:15
  36. 36.How many degrees does the minute hand of a clock turn in 29 minutes? =
  37. 37.A clock shows 3:08. What time will it show 42 minutes later? (a) 4:00 (b) 4:50 (c) 3:40 (d) 3:50
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 2:44? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 56 minutes? =

Answer key

  1. 7:35
  2. 14
  3. 5:00
  4. 150
  5. 147.5
  6. 24.5
  7. 1:59
  8. 74.5
  9. 30
  10. 2:31
  11. 141
  12. 58.5
  13. 30.5
  14. 258
  15. 11:26
  16. 85.5
  17. 28
  18. 3:40
  19. 12
  20. 54
  21. 132
  22. 66
  23. 108
  24. 132
  25. 1:34
  26. 2:13
  27. 144
  28. 12:21
  29. 58
  30. 90
  31. 5
  32. 2:21
  33. 82.5
  34. 3:27
  35. 4:15
  36. 174
  37. 3:50
  38. 164
  39. 178
  40. 336

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