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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 985 · 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 12:26? (in degrees) =
  2. 2.What is the smaller angle between the hour hand and the minute hand at 6:36? (in degrees) =
  3. 3.How many degrees does the hour hand of a clock turn in 113 minutes? =
  4. 4.A clock shows 10:08. What time will it show 85 minutes later? (a) 11:33 (b) 11:43 (c) 11:23 (d) 12:33
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:19? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:21? (in degrees) =
  7. 7.How many degrees does the hour hand of a clock turn in 58 minutes? =
  8. 8.A clock shows 1:24. What time will it show 22 minutes later? (a) 1:36 (b) 1:56 (c) 2:46 (d) 1:46
  9. 9.What is the smaller angle between the hour hand and the minute hand at 10:10? (in degrees) =
  10. 10.How many degrees does the hour hand of a clock turn in 76 minutes? =
  11. 11.How many degrees does the hour hand of a clock turn in 32 minutes? =
  12. 12.A clock shows 3:46. What time will it show 68 minutes later? (a) 5:04 (b) 5:54 (c) 4:54 (d) 4:44
  13. 13.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  14. 14.A clock shows 4:14. What time will it show 45 minutes later? (a) 4:59 (b) 4:49 (c) 5:09 (d) 5:59
  15. 15.What is the smaller angle between the hour hand and the minute hand at 8:15? (in degrees) =
  16. 16.A clock shows 8:26. What time will it show 70 minutes later? (a) 9:36 (b) 9:26 (c) 9:46 (d) 10:36
  17. 17.A clock shows 12:18. What time will it show 63 minutes later? (a) 2:21 (b) 1:11 (c) 1:21 (d) 1:31
  18. 18.What is the smaller angle between the hour hand and the minute hand at 6:06? (in degrees) =
  19. 19.A clock shows 12:14. What time will it show 72 minutes later? (a) 1:36 (b) 1:16 (c) 1:26 (d) 2:26
  20. 20.How many degrees does the minute hand of a clock turn in 25 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 12:05? (in degrees) =
  22. 22.A clock shows 3:13. What time will it show 164 minutes later? (a) 5:57 (b) 6:07 (c) 5:47 (d) 6:57
  23. 23.What is the smaller angle between the hour hand and the minute hand at 1:10? (in degrees) =
  24. 24.How many degrees does the minute hand of a clock turn in 15 minutes? =
  25. 25.A clock shows 4:06. What time will it show 77 minutes later? (a) 5:33 (b) 5:23 (c) 5:13 (d) 6:23
  26. 26.What is the smaller angle between the hour hand and the minute hand at 5:04? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 53 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =
  29. 29.What is the smaller angle between the hour hand and the minute hand at 5:25? (in degrees) =
  30. 30.A clock shows 10:51. What time will it show 34 minutes later? (a) 12:25 (b) 11:25 (c) 11:35 (d) 11:15
  31. 31.How many degrees does the hour hand of a clock turn in 34 minutes? =
  32. 32.How many degrees does the minute hand of a clock turn in 37 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 93 minutes? =
  34. 34.How many degrees does the minute hand of a clock turn in 27 minutes? =
  35. 35.What is the smaller angle between the hour hand and the minute hand at 10:22? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 5:05? (in degrees) =
  37. 37.A clock shows 8:50. What time will it show 61 minutes later? (a) 10:01 (b) 10:51 (c) 9:51 (d) 9:41
  38. 38.What is the smaller angle between the hour hand and the minute hand at 12:39? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:24? (in degrees) =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:00? (in degrees) =

Answer key

  1. 143
  2. 18
  3. 56.5
  4. 11:33
  5. 164.5
  6. 124.5
  7. 29
  8. 1:46
  9. 115
  10. 38
  11. 16
  12. 4:54
  13. 167
  14. 4:59
  15. 157.5
  16. 9:36
  17. 1:21
  18. 147
  19. 1:26
  20. 150
  21. 27.5
  22. 5:57
  23. 25
  24. 90
  25. 5:23
  26. 128
  27. 318
  28. 80
  29. 12.5
  30. 11:25
  31. 17
  32. 222
  33. 46.5
  34. 162
  35. 179
  36. 122.5
  37. 9:51
  38. 145.5
  39. 132
  40. 30

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