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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 888 · 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 10:45? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 103 minutes? =
  3. 3.How many degrees does the hour hand of a clock turn in 31 minutes? =
  4. 4.A clock shows 6:39. What time will it show 22 minutes later? (a) 6:51 (b) 7:01 (c) 8:01 (d) 7:11
  5. 5.What is the smaller angle between the hour hand and the minute hand at 3:40? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 12:44? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 22 minutes? =
  8. 8.How many degrees does the minute hand of a clock turn in 39 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 1:03? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 6:53? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 8:52? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 18 minutes? =
  13. 13.How many degrees does the hour hand of a clock turn in 155 minutes? =
  14. 14.A clock shows 5:12. What time will it show 136 minutes later? (a) 7:38 (b) 7:28 (c) 7:18 (d) 8:28
  15. 15.A clock shows 8:58. What time will it show 21 minutes later? (a) 9:09 (b) 9:19 (c) 10:19 (d) 9:29
  16. 16.A clock shows 11:03. What time will it show 119 minutes later? (a) 1:02 (b) 12:52 (c) 1:12 (d) 2:02
  17. 17.What is the smaller angle between the hour hand and the minute hand at 2:03? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 7:40? (in degrees) =
  19. 19.How many degrees does the minute hand of a clock turn in 35 minutes? =
  20. 20.A clock shows 12:24. What time will it show 99 minutes later? (a) 2:03 (b) 3:03 (c) 1:53 (d) 2:13
  21. 21.What is the smaller angle between the hour hand and the minute hand at 7:45? (in degrees) =
  22. 22.A clock shows 10:17. What time will it show 120 minutes later? (a) 12:07 (b) 12:27 (c) 1:17 (d) 12:17
  23. 23.How many degrees does the minute hand of a clock turn in 36 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 111 minutes? =
  25. 25.A clock shows 1:07. What time will it show 158 minutes later? (a) 4:45 (b) 3:45 (c) 3:55 (d) 3:35
  26. 26.A clock shows 5:46. What time will it show 34 minutes later? (a) 7:20 (b) 6:10 (c) 6:30 (d) 6:20
  27. 27.What is the smaller angle between the hour hand and the minute hand at 2:05? (in degrees) =
  28. 28.How many degrees does the minute hand of a clock turn in 58 minutes? =
  29. 29.A clock shows 8:15. What time will it show 130 minutes later? (a) 10:35 (b) 11:25 (c) 10:25 (d) 10:15
  30. 30.What is the smaller angle between the hour hand and the minute hand at 5:11? (in degrees) =
  31. 31.What is the smaller angle between the hour hand and the minute hand at 10:09? (in degrees) =
  32. 32.What is the smaller angle between the hour hand and the minute hand at 7:31? (in degrees) =
  33. 33.How many degrees does the hour hand of a clock turn in 40 minutes? =
  34. 34.A clock shows 3:17. What time will it show 160 minutes later? (a) 5:47 (b) 6:57 (c) 6:07 (d) 5:57
  35. 35.What is the smaller angle between the hour hand and the minute hand at 12:46? (in degrees) =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 9:44? (in degrees) =
  37. 37.A clock shows 4:01. What time will it show 45 minutes later? (a) 4:36 (b) 5:46 (c) 4:56 (d) 4:46
  38. 38.A clock shows 8:23. What time will it show 24 minutes later? (a) 9:47 (b) 8:37 (c) 8:57 (d) 8:47
  39. 39.What is the smaller angle between the hour hand and the minute hand at 12:11? (in degrees) =
  40. 40.A clock shows 3:22. What time will it show 125 minutes later? (a) 5:27 (b) 6:27 (c) 5:17 (d) 5:37

Answer key

  1. 52.5
  2. 51.5
  3. 15.5
  4. 7:01
  5. 130
  6. 118
  7. 132
  8. 234
  9. 13.5
  10. 111.5
  11. 46
  12. 108
  13. 77.5
  14. 7:28
  15. 9:19
  16. 1:02
  17. 43.5
  18. 10
  19. 210
  20. 2:03
  21. 37.5
  22. 12:17
  23. 216
  24. 55.5
  25. 3:45
  26. 6:20
  27. 32.5
  28. 348
  29. 10:25
  30. 89.5
  31. 109.5
  32. 39.5
  33. 20
  34. 5:57
  35. 107
  36. 28
  37. 4:46
  38. 8:47
  39. 60.5
  40. 5:27

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