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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 317 · 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 3:24? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 19 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 87 minutes? =
  4. 4.How many degrees does the hour hand of a clock turn in 32 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 11:04? (in degrees) =
  6. 6.A clock shows 2:56. What time will it show 164 minutes later? (a) 5:40 (b) 5:30 (c) 5:50 (d) 6:40
  7. 7.How many degrees does the minute hand of a clock turn in 29 minutes? =
  8. 8.A clock shows 3:26. What time will it show 36 minutes later? (a) 4:02 (b) 5:02 (c) 3:52 (d) 4:12
  9. 9.How many degrees does the hour hand of a clock turn in 105 minutes? =
  10. 10.A clock shows 9:13. What time will it show 128 minutes later? (a) 11:11 (b) 12:21 (c) 11:21 (d) 11:31
  11. 11.A clock shows 4:00. What time will it show 130 minutes later? (a) 6:00 (b) 7:10 (c) 6:20 (d) 6:10
  12. 12.A clock shows 11:35. What time will it show 109 minutes later? (a) 2:24 (b) 1:24 (c) 1:34 (d) 1:14
  13. 13.A clock shows 8:30. What time will it show 35 minutes later? (a) 9:15 (b) 8:55 (c) 9:05 (d) 10:05
  14. 14.What is the smaller angle between the hour hand and the minute hand at 6:43? (in degrees) =
  15. 15.How many degrees does the minute hand of a clock turn in 47 minutes? =
  16. 16.How many degrees does the hour hand of a clock turn in 100 minutes? =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 6:10? (in degrees) =
  18. 18.A clock shows 5:36. What time will it show 154 minutes later? (a) 8:20 (b) 8:00 (c) 9:10 (d) 8:10
  19. 19.How many degrees does the minute hand of a clock turn in 31 minutes? =
  20. 20.A clock shows 4:16. What time will it show 100 minutes later? (a) 6:56 (b) 5:46 (c) 6:06 (d) 5:56
  21. 21.A clock shows 2:15. What time will it show 88 minutes later? (a) 4:43 (b) 3:33 (c) 3:53 (d) 3:43
  22. 22.A clock shows 5:05. What time will it show 18 minutes later? (a) 5:23 (b) 6:23 (c) 5:33 (d) 5:13
  23. 23.What is the smaller angle between the hour hand and the minute hand at 6:28? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 1:39? (in degrees) =
  25. 25.What is the smaller angle between the hour hand and the minute hand at 2:45? (in degrees) =
  26. 26.A clock shows 1:34. What time will it show 145 minutes later? (a) 3:59 (b) 4:09 (c) 3:49 (d) 4:59
  27. 27.How many degrees does the hour hand of a clock turn in 40 minutes? =
  28. 28.How many degrees does the hour hand of a clock turn in 145 minutes? =
  29. 29.How many degrees does the hour hand of a clock turn in 53 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 8:56? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 4:13? (in degrees) =
  32. 32.How many degrees does the minute hand of a clock turn in 39 minutes? =
  33. 33.A clock shows 12:30. What time will it show 53 minutes later? (a) 1:33 (b) 1:13 (c) 1:23 (d) 2:23
  34. 34.A clock shows 3:11. What time will it show 63 minutes later? (a) 4:04 (b) 5:14 (c) 4:14 (d) 4:24
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:55? (in degrees) =
  36. 36.A clock shows 10:14. What time will it show 75 minutes later? (a) 11:39 (b) 11:29 (c) 12:29 (d) 11:19
  37. 37.How many degrees does the minute hand of a clock turn in 18 minutes? =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  39. 39.How many degrees does the minute hand of a clock turn in 30 minutes? =
  40. 40.How many degrees does the minute hand of a clock turn in 37 minutes? =

Answer key

  1. 42
  2. 9.5
  3. 43.5
  4. 16
  5. 52
  6. 5:40
  7. 174
  8. 4:02
  9. 52.5
  10. 11:21
  11. 6:10
  12. 1:24
  13. 9:05
  14. 56.5
  15. 282
  16. 50
  17. 125
  18. 8:10
  19. 186
  20. 5:56
  21. 3:43
  22. 5:23
  23. 26
  24. 175.5
  25. 172.5
  26. 3:59
  27. 20
  28. 72.5
  29. 26.5
  30. 68
  31. 48.5
  32. 234
  33. 1:23
  34. 4:14
  35. 57.5
  36. 11:29
  37. 108
  38. 27.5
  39. 180
  40. 222

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