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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 788 · 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.What is the smaller angle between the hour hand and the minute hand at 7:28? (in degrees) =
  2. 2.How many degrees does the minute hand of a clock turn in 49 minutes? =
  3. 3.A clock shows 4:44. What time will it show 95 minutes later? (a) 6:09 (b) 6:19 (c) 7:19 (d) 6:29
  4. 4.How many degrees does the hour hand of a clock turn in 31 minutes? =
  5. 5.A clock shows 1:05. What time will it show 56 minutes later? (a) 1:51 (b) 3:01 (c) 2:01 (d) 2:11
  6. 6.What is the smaller angle between the hour hand and the minute hand at 6:17? (in degrees) =
  7. 7.A clock shows 3:00. What time will it show 79 minutes later? (a) 5:19 (b) 4:29 (c) 4:19 (d) 4:09
  8. 8.What is the smaller angle between the hour hand and the minute hand at 5:21? (in degrees) =
  9. 9.How many degrees does the hour hand of a clock turn in 33 minutes? =
  10. 10.A clock shows 4:28. What time will it show 23 minutes later? (a) 5:01 (b) 4:41 (c) 5:51 (d) 4:51
  11. 11.A clock shows 2:07. What time will it show 146 minutes later? (a) 4:43 (b) 4:23 (c) 5:33 (d) 4:33
  12. 12.What is the smaller angle between the hour hand and the minute hand at 1:42? (in degrees) =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 4:17? (in degrees) =
  14. 14.How many degrees does the hour hand of a clock turn in 76 minutes? =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 3:20? (in degrees) =
  16. 16.A clock shows 8:00. What time will it show 104 minutes later? (a) 9:34 (b) 10:44 (c) 9:54 (d) 9:44
  17. 17.A clock shows 3:24. What time will it show 118 minutes later? (a) 5:12 (b) 5:32 (c) 6:22 (d) 5:22
  18. 18.How many degrees does the minute hand of a clock turn in 43 minutes? =
  19. 19.How many degrees does the minute hand of a clock turn in 39 minutes? =
  20. 20.A clock shows 11:33. What time will it show 23 minutes later? (a) 12:06 (b) 12:56 (c) 11:46 (d) 11:56
  21. 21.A clock shows 12:21. What time will it show 168 minutes later? (a) 3:09 (b) 2:59 (c) 3:19 (d) 4:09
  22. 22.How many degrees does the hour hand of a clock turn in 84 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  25. 25.A clock shows 7:09. What time will it show 125 minutes later? (a) 9:14 (b) 9:24 (c) 9:04 (d) 10:14
  26. 26.How many degrees does the hour hand of a clock turn in 64 minutes? =
  27. 27.A clock shows 4:41. What time will it show 164 minutes later? (a) 7:25 (b) 7:35 (c) 8:25 (d) 7:15
  28. 28.A clock shows 1:58. What time will it show 92 minutes later? (a) 3:40 (b) 4:30 (c) 3:30 (d) 3:20
  29. 29.What is the smaller angle between the hour hand and the minute hand at 1:53? (in degrees) =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 7:48? (in degrees) =
  31. 31.How many degrees does the minute hand of a clock turn in 14 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 7 minutes? =
  33. 33.A clock shows 3:09. What time will it show 85 minutes later? (a) 4:44 (b) 4:34 (c) 4:24 (d) 5:34
  34. 34.A clock shows 9:49. What time will it show 11 minutes later? (a) 10:00 (b) 11:00 (c) 10:10 (d) 9:50
  35. 35.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:03? (in degrees) =
  37. 37.A clock shows 6:21. What time will it show 106 minutes later? (a) 9:07 (b) 7:57 (c) 8:07 (d) 8:17
  38. 38.A clock shows 6:37. What time will it show 85 minutes later? (a) 8:12 (b) 8:02 (c) 9:02 (d) 7:52
  39. 39.How many degrees does the minute hand of a clock turn in 40 minutes? =
  40. 40.A clock shows 11:12. What time will it show 101 minutes later? (a) 1:03 (b) 12:53 (c) 1:53 (d) 12:43

Answer key

  1. 56
  2. 294
  3. 6:19
  4. 15.5
  5. 2:01
  6. 86.5
  7. 4:19
  8. 34.5
  9. 16.5
  10. 4:51
  11. 4:33
  12. 159
  13. 26.5
  14. 38
  15. 20
  16. 9:44
  17. 5:22
  18. 258
  19. 234
  20. 11:56
  21. 3:09
  22. 42
  23. 37.5
  24. 127
  25. 9:14
  26. 32
  27. 7:25
  28. 3:30
  29. 98.5
  30. 54
  31. 84
  32. 42
  33. 4:34
  34. 10:00
  35. 28.5
  36. 106.5
  37. 8:07
  38. 8:02
  39. 240
  40. 12:53

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