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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 440 · 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 6:37. What time will it show 42 minutes later? (a) 7:29 (b) 8:19 (c) 7:19 (d) 7:09
  2. 2.A clock shows 7:37. What time will it show 138 minutes later? (a) 9:45 (b) 10:55 (c) 10:05 (d) 9:55
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:42? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 53 minutes? =
  5. 5.How many degrees does the minute hand of a clock turn in 31 minutes? =
  6. 6.A clock shows 7:23. What time will it show 87 minutes later? (a) 9:00 (b) 8:40 (c) 8:50 (d) 9:50
  7. 7.How many degrees does the hour hand of a clock turn in 29 minutes? =
  8. 8.A clock shows 10:05. What time will it show 23 minutes later? (a) 11:28 (b) 10:38 (c) 10:28 (d) 10:18
  9. 9.A clock shows 4:08. What time will it show 26 minutes later? (a) 4:44 (b) 5:34 (c) 4:34 (d) 4:24
  10. 10.How many degrees does the hour hand of a clock turn in 94 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 4:52? (in degrees) =
  12. 12.How many degrees does the hour hand of a clock turn in 76 minutes? =
  13. 13.A clock shows 9:12. What time will it show 140 minutes later? (a) 11:42 (b) 12:32 (c) 11:32 (d) 11:22
  14. 14.A clock shows 9:01. What time will it show 25 minutes later? (a) 9:26 (b) 10:26 (c) 9:36 (d) 9:16
  15. 15.How many degrees does the hour hand of a clock turn in 83 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 70 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 3:10? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:45? (in degrees) =
  19. 19.A clock shows 6:20. What time will it show 121 minutes later? (a) 8:31 (b) 8:11 (c) 8:21 (d) 9:21
  20. 20.What is the smaller angle between the hour hand and the minute hand at 5:23? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 9:52? (in degrees) =
  22. 22.A clock shows 8:15. What time will it show 129 minutes later? (a) 10:14 (b) 10:34 (c) 10:24 (d) 11:24
  23. 23.What is the smaller angle between the hour hand and the minute hand at 10:51? (in degrees) =
  24. 24.A clock shows 6:16. What time will it show 119 minutes later? (a) 8:25 (b) 9:15 (c) 8:05 (d) 8:15
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:12? (in degrees) =
  26. 26.A clock shows 11:01. What time will it show 105 minutes later? (a) 1:46 (b) 12:56 (c) 12:36 (d) 12:46
  27. 27.How many degrees does the minute hand of a clock turn in 28 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:26? (in degrees) =
  29. 29.A clock shows 12:00. What time will it show 25 minutes later? (a) 1:25 (b) 12:25 (c) 12:15 (d) 12:35
  30. 30.How many degrees does the minute hand of a clock turn in 33 minutes? =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 10:06? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 61 minutes? =
  34. 34.A clock shows 2:23. What time will it show 33 minutes later? (a) 3:06 (b) 2:46 (c) 2:56 (d) 3:56
  35. 35.A clock shows 7:52. What time will it show 168 minutes later? (a) 10:50 (b) 10:40 (c) 11:40 (d) 10:30
  36. 36.A clock shows 5:47. What time will it show 18 minutes later? (a) 6:15 (b) 7:05 (c) 6:05 (d) 5:55
  37. 37.How many degrees does the minute hand of a clock turn in 47 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 4 minutes? =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:17? (in degrees) =
  40. 40.A clock shows 9:14. What time will it show 65 minutes later? (a) 10:09 (b) 10:29 (c) 10:19 (d) 11:19

Answer key

  1. 7:19
  2. 9:55
  3. 9
  4. 318
  5. 186
  6. 8:50
  7. 14.5
  8. 10:28
  9. 4:34
  10. 47
  11. 166
  12. 38
  13. 11:32
  14. 9:26
  15. 41.5
  16. 35
  17. 35
  18. 82.5
  19. 8:21
  20. 23.5
  21. 16
  22. 10:24
  23. 19.5
  24. 8:15
  25. 126
  26. 12:46
  27. 168
  28. 67
  29. 12:25
  30. 198
  31. 10.5
  32. 93
  33. 30.5
  34. 2:56
  35. 10:40
  36. 6:05
  37. 282
  38. 24
  39. 116.5
  40. 10:19

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