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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 238 · 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 1:26? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 2:04? (in degrees) =
  3. 3.How many degrees does the minute hand of a clock turn in 24 minutes? =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 2:14? (in degrees) =
  5. 5.How many degrees does the hour hand of a clock turn in 22 minutes? =
  6. 6.A clock shows 7:43. What time will it show 20 minutes later? (a) 8:13 (b) 9:03 (c) 7:53 (d) 8:03
  7. 7.A clock shows 2:37. What time will it show 76 minutes later? (a) 4:53 (b) 4:03 (c) 3:53 (d) 3:43
  8. 8.How many degrees does the hour hand of a clock turn in 131 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 3:36? (in degrees) =
  10. 10.A clock shows 5:34. What time will it show 56 minutes later? (a) 6:40 (b) 6:30 (c) 7:30 (d) 6:20
  11. 11.How many degrees does the hour hand of a clock turn in 176 minutes? =
  12. 12.How many degrees does the minute hand of a clock turn in 53 minutes? =
  13. 13.How many degrees does the minute hand of a clock turn in 20 minutes? =
  14. 14.A clock shows 4:12. What time will it show 125 minutes later? (a) 6:07 (b) 6:27 (c) 6:17 (d) 7:17
  15. 15.How many degrees does the hour hand of a clock turn in 95 minutes? =
  16. 16.How many degrees does the minute hand of a clock turn in 54 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:07? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 47 minutes? =
  21. 21.A clock shows 1:25. What time will it show 170 minutes later? (a) 4:05 (b) 4:25 (c) 4:15 (d) 5:15
  22. 22.How many degrees does the hour hand of a clock turn in 87 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:41? (in degrees) =
  24. 24.A clock shows 7:29. What time will it show 138 minutes later? (a) 9:57 (b) 9:47 (c) 9:37 (d) 10:47
  25. 25.A clock shows 9:10. What time will it show 80 minutes later? (a) 10:20 (b) 11:30 (c) 10:30 (d) 10:40
  26. 26.What is the smaller angle between the hour hand and the minute hand at 12:28? (in degrees) =
  27. 27.A clock shows 8:03. What time will it show 40 minutes later? (a) 9:43 (b) 8:33 (c) 8:43 (d) 8:53
  28. 28.How many degrees does the hour hand of a clock turn in 121 minutes? =
  29. 29.A clock shows 7:35. What time will it show 145 minutes later? (a) 10:10 (b) 9:50 (c) 11:00 (d) 10:00
  30. 30.A clock shows 3:22. What time will it show 133 minutes later? (a) 5:45 (b) 6:35 (c) 5:35 (d) 5:25
  31. 31.A clock shows 4:35. What time will it show 125 minutes later? (a) 6:40 (b) 6:50 (c) 7:40 (d) 6:30
  32. 32.What is the smaller angle between the hour hand and the minute hand at 11:10? (in degrees) =
  33. 33.A clock shows 1:20. What time will it show 19 minutes later? (a) 2:39 (b) 1:49 (c) 1:39 (d) 1:29
  34. 34.What is the smaller angle between the hour hand and the minute hand at 9:15? (in degrees) =
  35. 35.A clock shows 5:22. What time will it show 40 minutes later? (a) 6:02 (b) 6:12 (c) 5:52 (d) 7:02
  36. 36.How many degrees does the minute hand of a clock turn in 5 minutes? =
  37. 37.How many degrees does the minute hand of a clock turn in 11 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 10:27? (in degrees) =
  39. 39.How many degrees does the hour hand of a clock turn in 26 minutes? =
  40. 40.A clock shows 1:07. What time will it show 163 minutes later? (a) 4:00 (b) 3:40 (c) 4:50 (d) 3:50

Answer key

  1. 113
  2. 38
  3. 144
  4. 17
  5. 11
  6. 8:03
  7. 3:53
  8. 65.5
  9. 108
  10. 6:30
  11. 88
  12. 318
  13. 120
  14. 6:17
  15. 47.5
  16. 324
  17. 68.5
  18. 133
  19. 132
  20. 282
  21. 4:15
  22. 43.5
  23. 164.5
  24. 9:47
  25. 10:30
  26. 154
  27. 8:43
  28. 60.5
  29. 10:00
  30. 5:35
  31. 6:40
  32. 85
  33. 1:39
  34. 172.5
  35. 6:02
  36. 30
  37. 66
  38. 151.5
  39. 13
  40. 3:50

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