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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 540 · 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 11:52? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 64 minutes? =
  3. 3.A clock shows 1:48. What time will it show 75 minutes later? (a) 3:13 (b) 4:03 (c) 3:03 (d) 2:53
  4. 4.A clock shows 4:26. What time will it show 162 minutes later? (a) 6:58 (b) 8:08 (c) 7:08 (d) 7:18
  5. 5.How many degrees does the minute hand of a clock turn in 5 minutes? =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:24? (in degrees) =
  7. 7.A clock shows 10:14. What time will it show 96 minutes later? (a) 12:50 (b) 12:00 (c) 11:40 (d) 11:50
  8. 8.How many degrees does the minute hand of a clock turn in 8 minutes? =
  9. 9.A clock shows 11:27. What time will it show 94 minutes later? (a) 1:11 (b) 1:01 (c) 2:01 (d) 12:51
  10. 10.A clock shows 8:49. What time will it show 101 minutes later? (a) 10:20 (b) 10:30 (c) 10:40 (d) 11:30
  11. 11.How many degrees does the hour hand of a clock turn in 128 minutes? =
  12. 12.What is the smaller angle between the hour hand and the minute hand at 9:57? (in degrees) =
  13. 13.A clock shows 12:12. What time will it show 43 minutes later? (a) 1:05 (b) 1:55 (c) 12:55 (d) 12:45
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:59? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 11:42? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 10:48? (in degrees) =
  17. 17.A clock shows 2:55. What time will it show 155 minutes later? (a) 5:40 (b) 5:20 (c) 6:30 (d) 5:30
  18. 18.How many degrees does the minute hand of a clock turn in 43 minutes? =
  19. 19.A clock shows 1:23. What time will it show 97 minutes later? (a) 3:10 (b) 4:00 (c) 3:00 (d) 2:50
  20. 20.What is the smaller angle between the hour hand and the minute hand at 8:48? (in degrees) =
  21. 21.How many degrees does the hour hand of a clock turn in 50 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 10:40? (in degrees) =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 5:54? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 2:22? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 9:25? (in degrees) =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 4:35? (in degrees) =
  27. 27.A clock shows 7:25. What time will it show 161 minutes later? (a) 10:06 (b) 11:06 (c) 9:56 (d) 10:16
  28. 28.A clock shows 12:28. What time will it show 42 minutes later? (a) 1:20 (b) 1:10 (c) 1:00 (d) 2:10
  29. 29.A clock shows 8:13. What time will it show 139 minutes later? (a) 10:22 (b) 10:32 (c) 11:32 (d) 10:42
  30. 30.How many degrees does the minute hand of a clock turn in 44 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 38 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 32 minutes? =
  33. 33.A clock shows 10:30. What time will it show 135 minutes later? (a) 12:55 (b) 12:35 (c) 12:45 (d) 1:45
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:07? (in degrees) =
  35. 35.How many degrees does the hour hand of a clock turn in 138 minutes? =
  36. 36.A clock shows 1:33. What time will it show 167 minutes later? (a) 5:20 (b) 4:20 (c) 4:30 (d) 4:10
  37. 37.How many degrees does the hour hand of a clock turn in 154 minutes? =
  38. 38.A clock shows 11:18. What time will it show 106 minutes later? (a) 2:04 (b) 1:04 (c) 12:54 (d) 1:14
  39. 39.A clock shows 6:21. What time will it show 44 minutes later? (a) 8:05 (b) 6:55 (c) 7:05 (d) 7:15
  40. 40.A clock shows 9:52. What time will it show 90 minutes later? (a) 11:22 (b) 11:12 (c) 11:32 (d) 12:22

Answer key

  1. 44
  2. 32
  3. 3:03
  4. 7:08
  5. 30
  6. 72
  7. 11:50
  8. 48
  9. 1:01
  10. 10:30
  11. 64
  12. 43.5
  13. 12:55
  14. 54.5
  15. 99
  16. 36
  17. 5:30
  18. 258
  19. 3:00
  20. 24
  21. 25
  22. 80
  23. 147
  24. 61
  25. 132.5
  26. 72.5
  27. 10:06
  28. 1:10
  29. 10:32
  30. 264
  31. 228
  32. 16
  33. 12:45
  34. 171.5
  35. 69
  36. 4:20
  37. 77
  38. 1:04
  39. 7:05
  40. 11:22

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