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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 924 · 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.A clock shows 12:30. What time will it show 152 minutes later? (a) 3:02 (b) 2:52 (c) 4:02 (d) 3:12
  2. 2.What is the smaller angle between the hour hand and the minute hand at 12:18? (in degrees) =
  3. 3.A clock shows 9:46. What time will it show 99 minutes later? (a) 11:35 (b) 11:15 (c) 12:25 (d) 11:25
  4. 4.What is the smaller angle between the hour hand and the minute hand at 1:23? (in degrees) =
  5. 5.A clock shows 2:30. What time will it show 140 minutes later? (a) 5:00 (b) 4:50 (c) 4:40 (d) 5:50
  6. 6.What is the smaller angle between the hour hand and the minute hand at 8:12? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 9:07? (in degrees) =
  8. 8.How many degrees does the minute hand of a clock turn in 51 minutes? =
  9. 9.How many degrees does the minute hand of a clock turn in 39 minutes? =
  10. 10.A clock shows 4:21. What time will it show 93 minutes later? (a) 5:44 (b) 6:04 (c) 5:54 (d) 6:54
  11. 11.A clock shows 1:27. What time will it show 62 minutes later? (a) 2:39 (b) 2:29 (c) 2:19 (d) 3:29
  12. 12.How many degrees does the hour hand of a clock turn in 124 minutes? =
  13. 13.A clock shows 11:46. What time will it show 33 minutes later? (a) 1:19 (b) 12:19 (c) 12:09 (d) 12:29
  14. 14.A clock shows 11:21. What time will it show 76 minutes later? (a) 12:37 (b) 12:47 (c) 1:37 (d) 12:27
  15. 15.A clock shows 7:53. What time will it show 10 minutes later? (a) 9:03 (b) 8:03 (c) 7:53 (d) 8:13
  16. 16.What is the smaller angle between the hour hand and the minute hand at 11:59? (in degrees) =
  17. 17.What is the smaller angle between the hour hand and the minute hand at 11:28? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 11:36? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 11:38? (in degrees) =
  20. 20.A clock shows 1:38. What time will it show 155 minutes later? (a) 4:23 (b) 5:13 (c) 4:13 (d) 4:03
  21. 21.How many degrees does the hour hand of a clock turn in 22 minutes? =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 4:04? (in degrees) =
  23. 23.A clock shows 8:00. What time will it show 96 minutes later? (a) 10:36 (b) 9:46 (c) 9:36 (d) 9:26
  24. 24.How many degrees does the minute hand of a clock turn in 48 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 58 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 8:03? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 54 minutes? =
  28. 28.What is the smaller angle between the hour hand and the minute hand at 3:06? (in degrees) =
  29. 29.A clock shows 11:35. What time will it show 165 minutes later? (a) 3:20 (b) 2:20 (c) 2:10 (d) 2:30
  30. 30.A clock shows 3:23. What time will it show 80 minutes later? (a) 5:43 (b) 4:53 (c) 4:33 (d) 4:43
  31. 31.What is the smaller angle between the hour hand and the minute hand at 11:17? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 47 minutes? =
  33. 33.How many degrees does the hour hand of a clock turn in 33 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 5:31? (in degrees) =
  35. 35.A clock shows 10:42. What time will it show 91 minutes later? (a) 12:23 (b) 1:13 (c) 12:03 (d) 12:13
  36. 36.What is the smaller angle between the hour hand and the minute hand at 7:14? (in degrees) =
  37. 37.How many degrees does the minute hand of a clock turn in 55 minutes? =
  38. 38.How many degrees does the minute hand of a clock turn in 46 minutes? =
  39. 39.How many degrees does the hour hand of a clock turn in 131 minutes? =
  40. 40.What is the smaller angle between the hour hand and the minute hand at 8:01? (in degrees) =

Answer key

  1. 3:02
  2. 99
  3. 11:25
  4. 96.5
  5. 4:50
  6. 174
  7. 128.5
  8. 306
  9. 234
  10. 5:54
  11. 2:29
  12. 62
  13. 12:19
  14. 12:37
  15. 8:03
  16. 5.5
  17. 176
  18. 132
  19. 121
  20. 4:13
  21. 11
  22. 98
  23. 9:36
  24. 288
  25. 348
  26. 136.5
  27. 324
  28. 57
  29. 2:20
  30. 4:43
  31. 123.5
  32. 23.5
  33. 16.5
  34. 20.5
  35. 12:13
  36. 133
  37. 330
  38. 276
  39. 65.5
  40. 125.5

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