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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 829 · 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 6:22? (in degrees) =
  2. 2.A clock shows 12:16. What time will it show 14 minutes later? (a) 12:40 (b) 12:20 (c) 12:30 (d) 1:30
  3. 3.How many degrees does the hour hand of a clock turn in 115 minutes? =
  4. 4.How many degrees does the minute hand of a clock turn in 11 minutes? =
  5. 5.A clock shows 7:11. What time will it show 32 minutes later? (a) 7:53 (b) 8:43 (c) 7:43 (d) 7:33
  6. 6.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 3 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 9 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 44 minutes? =
  10. 10.How many degrees does the minute hand of a clock turn in 37 minutes? =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 12:31? (in degrees) =
  12. 12.A clock shows 6:44. What time will it show 50 minutes later? (a) 7:34 (b) 7:24 (c) 8:34 (d) 7:44
  13. 13.How many degrees does the hour hand of a clock turn in 101 minutes? =
  14. 14.A clock shows 9:25. What time will it show 157 minutes later? (a) 12:12 (b) 11:52 (c) 1:02 (d) 12:02
  15. 15.A clock shows 11:39. What time will it show 167 minutes later? (a) 2:26 (b) 2:36 (c) 2:16 (d) 3:26
  16. 16.A clock shows 9:33. What time will it show 78 minutes later? (a) 11:51 (b) 10:51 (c) 11:01 (d) 10:41
  17. 17.What is the smaller angle between the hour hand and the minute hand at 7:15? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:17? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 15 minutes? =
  20. 20.How many degrees does the minute hand of a clock turn in 5 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 5:43? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 5:48? (in degrees) =
  23. 23.How many degrees does the hour hand of a clock turn in 41 minutes? =
  24. 24.How many degrees does the minute hand of a clock turn in 4 minutes? =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 10:33? (in degrees) =
  26. 26.A clock shows 3:26. What time will it show 57 minutes later? (a) 4:33 (b) 4:13 (c) 5:23 (d) 4:23
  27. 27.A clock shows 4:12. What time will it show 150 minutes later? (a) 6:52 (b) 7:42 (c) 6:32 (d) 6:42
  28. 28.A clock shows 6:52. What time will it show 127 minutes later? (a) 8:49 (b) 8:59 (c) 9:09 (d) 9:59
  29. 29.What is the smaller angle between the hour hand and the minute hand at 8:45? (in degrees) =
  30. 30.A clock shows 1:16. What time will it show 133 minutes later? (a) 3:29 (b) 4:29 (c) 3:39 (d) 3:19
  31. 31.A clock shows 5:08. What time will it show 124 minutes later? (a) 7:02 (b) 7:12 (c) 8:12 (d) 7:22
  32. 32.How many degrees does the minute hand of a clock turn in 51 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 52 minutes? =
  34. 34.How many degrees does the hour hand of a clock turn in 33 minutes? =
  35. 35.How many degrees does the minute hand of a clock turn in 20 minutes? =
  36. 36.A clock shows 6:23. What time will it show 22 minutes later? (a) 7:45 (b) 6:35 (c) 6:55 (d) 6:45
  37. 37.How many degrees does the hour hand of a clock turn in 22 minutes? =
  38. 38.How many degrees does the hour hand of a clock turn in 43 minutes? =
  39. 39.How many degrees does the minute hand of a clock turn in 29 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 58 minutes? =

Answer key

  1. 59
  2. 12:30
  3. 57.5
  4. 66
  5. 7:43
  6. 133
  7. 18
  8. 54
  9. 264
  10. 222
  11. 170.5
  12. 7:34
  13. 50.5
  14. 12:02
  15. 2:26
  16. 10:51
  17. 127.5
  18. 3.5
  19. 90
  20. 30
  21. 86.5
  22. 114
  23. 20.5
  24. 24
  25. 118.5
  26. 4:23
  27. 6:42
  28. 8:59
  29. 7.5
  30. 3:29
  31. 7:12
  32. 306
  33. 26
  34. 16.5
  35. 120
  36. 6:45
  37. 11
  38. 21.5
  39. 174
  40. 348

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