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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 612 · 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.How many degrees does the minute hand of a clock turn in 21 minutes? =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 1:15? (in degrees) =
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:32? (in degrees) =
  4. 4.A clock shows 7:58. What time will it show 68 minutes later? (a) 9:06 (b) 10:06 (c) 9:16 (d) 8:56
  5. 5.A clock shows 3:21. What time will it show 53 minutes later? (a) 4:04 (b) 5:14 (c) 4:14 (d) 4:24
  6. 6.How many degrees does the hour hand of a clock turn in 85 minutes? =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 5:47? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 3:13? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:25? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:26? (in degrees) =
  11. 11.How many degrees does the hour hand of a clock turn in 74 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 104 minutes? =
  13. 13.What is the smaller angle between the hour hand and the minute hand at 11:19? (in degrees) =
  14. 14.How many degrees does the minute hand of a clock turn in 7 minutes? =
  15. 15.A clock shows 2:16. What time will it show 105 minutes later? (a) 3:51 (b) 5:01 (c) 4:01 (d) 4:11
  16. 16.A clock shows 12:05. What time will it show 26 minutes later? (a) 1:31 (b) 12:21 (c) 12:41 (d) 12:31
  17. 17.A clock shows 3:16. What time will it show 152 minutes later? (a) 5:38 (b) 5:58 (c) 5:48 (d) 6:48
  18. 18.What is the smaller angle between the hour hand and the minute hand at 4:49? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 17 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 29 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 153 minutes? =
  23. 23.A clock shows 3:09. What time will it show 111 minutes later? (a) 4:50 (b) 6:00 (c) 5:00 (d) 5:10
  24. 24.A clock shows 10:06. What time will it show 134 minutes later? (a) 12:30 (b) 12:20 (c) 12:10 (d) 1:20
  25. 25.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  26. 26.How many degrees does the minute hand of a clock turn in 12 minutes? =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 7:25? (in degrees) =
  29. 29.A clock shows 6:26. What time will it show 11 minutes later? (a) 6:27 (b) 6:37 (c) 7:37 (d) 6:47
  30. 30.What is the smaller angle between the hour hand and the minute hand at 2:57? (in degrees) =
  31. 31.A clock shows 2:31. What time will it show 145 minutes later? (a) 4:56 (b) 5:56 (c) 4:46 (d) 5:06
  32. 32.What is the smaller angle between the hour hand and the minute hand at 12:06? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 40 minutes? =
  34. 34.A clock shows 9:38. What time will it show 81 minutes later? (a) 11:09 (b) 11:59 (c) 10:49 (d) 10:59
  35. 35.A clock shows 1:06. What time will it show 17 minutes later? (a) 2:23 (b) 1:23 (c) 1:13 (d) 1:33
  36. 36.A clock shows 10:33. What time will it show 50 minutes later? (a) 12:23 (b) 11:33 (c) 11:13 (d) 11:23
  37. 37.What is the smaller angle between the hour hand and the minute hand at 7:33? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 2:23? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 9:48? (in degrees) =
  40. 40.A clock shows 9:39. What time will it show 142 minutes later? (a) 12:01 (b) 1:01 (c) 11:51 (d) 12:11

Answer key

  1. 126
  2. 52.5
  3. 64
  4. 9:06
  5. 4:14
  6. 42.5
  7. 108.5
  8. 18.5
  9. 77.5
  10. 113
  11. 37
  12. 52
  13. 134.5
  14. 42
  15. 4:01
  16. 12:31
  17. 5:48
  18. 149.5
  19. 102
  20. 174
  21. 171.5
  22. 76.5
  23. 5:00
  24. 12:20
  25. 142
  26. 72
  27. 30
  28. 72.5
  29. 6:37
  30. 106.5
  31. 4:56
  32. 33
  33. 20
  34. 10:59
  35. 1:23
  36. 11:23
  37. 28.5
  38. 66.5
  39. 6
  40. 12:01

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