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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 960 · 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 6:16. What time will it show 124 minutes later? (a) 9:20 (b) 8:20 (c) 8:30 (d) 8:10
  2. 2.A clock shows 3:37. What time will it show 83 minutes later? (a) 4:50 (b) 6:00 (c) 5:10 (d) 5:00
  3. 3.What is the smaller angle between the hour hand and the minute hand at 12:48? (in degrees) =
  4. 4.A clock shows 9:44. What time will it show 159 minutes later? (a) 1:23 (b) 12:23 (c) 12:33 (d) 12:13
  5. 5.What is the smaller angle between the hour hand and the minute hand at 9:19? (in degrees) =
  6. 6.A clock shows 5:22. What time will it show 43 minutes later? (a) 6:05 (b) 5:55 (c) 7:05 (d) 6:15
  7. 7.What is the smaller angle between the hour hand and the minute hand at 6:38? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 6:05? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 4:14? (in degrees) =
  10. 10.A clock shows 8:05. What time will it show 112 minutes later? (a) 9:57 (b) 10:57 (c) 9:47 (d) 10:07
  11. 11.A clock shows 12:04. What time will it show 166 minutes later? (a) 3:50 (b) 3:00 (c) 2:50 (d) 2:40
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:36? (in degrees) =
  13. 13.How many degrees does the hour hand of a clock turn in 154 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 2:02? (in degrees) =
  15. 15.A clock shows 7:01. What time will it show 22 minutes later? (a) 8:23 (b) 7:23 (c) 7:13 (d) 7:33
  16. 16.How many degrees does the minute hand of a clock turn in 27 minutes? =
  17. 17.A clock shows 4:19. What time will it show 44 minutes later? (a) 4:53 (b) 6:03 (c) 5:03 (d) 5:13
  18. 18.What is the smaller angle between the hour hand and the minute hand at 1:21? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 54 minutes? =
  20. 20.A clock shows 2:38. What time will it show 20 minutes later? (a) 2:58 (b) 3:08 (c) 2:48 (d) 3:58
  21. 21.How many degrees does the hour hand of a clock turn in 150 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 2:50? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 22 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 3:27? (in degrees) =
  25. 25.A clock shows 4:12. What time will it show 13 minutes later? (a) 4:15 (b) 5:25 (c) 4:25 (d) 4:35
  26. 26.What is the smaller angle between the hour hand and the minute hand at 1:47? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 59 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 114 minutes? =
  29. 29.How many degrees does the minute hand of a clock turn in 50 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:01? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 41 minutes? =
  32. 32.A clock shows 8:03. What time will it show 132 minutes later? (a) 11:15 (b) 10:05 (c) 10:25 (d) 10:15
  33. 33.What is the smaller angle between the hour hand and the minute hand at 3:42? (in degrees) =
  34. 34.A clock shows 2:08. What time will it show 38 minutes later? (a) 2:36 (b) 2:46 (c) 3:46 (d) 2:56
  35. 35.How many degrees does the minute hand of a clock turn in 10 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 11:13? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 6:02? (in degrees) =
  38. 38.How many degrees does the minute hand of a clock turn in 56 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:01? (in degrees) =
  40. 40.A clock shows 2:10. What time will it show 164 minutes later? (a) 5:04 (b) 4:54 (c) 4:44 (d) 5:54

Answer key

  1. 8:20
  2. 5:00
  3. 96
  4. 12:23
  5. 165.5
  6. 6:05
  7. 29
  8. 152.5
  9. 43
  10. 9:57
  11. 2:50
  12. 78
  13. 77
  14. 49
  15. 7:23
  16. 162
  17. 5:03
  18. 85.5
  19. 324
  20. 2:58
  21. 75
  22. 145
  23. 11
  24. 58.5
  25. 4:25
  26. 131.5
  27. 354
  28. 57
  29. 300
  30. 144.5
  31. 246
  32. 10:15
  33. 141
  34. 2:46
  35. 60
  36. 101.5
  37. 169
  38. 336
  39. 5.5
  40. 4:54

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