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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 954 · 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 9:56. What time will it show 55 minutes later? (a) 11:51 (b) 10:41 (c) 10:51 (d) 11:01
  2. 2.What is the smaller angle between the hour hand and the minute hand at 7:21? (in degrees) =
  3. 3.A clock shows 1:26. What time will it show 92 minutes later? (a) 2:48 (b) 3:58 (c) 3:08 (d) 2:58
  4. 4.What is the smaller angle between the hour hand and the minute hand at 7:50? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 10:30? (in degrees) =
  6. 6.A clock shows 6:37. What time will it show 56 minutes later? (a) 7:43 (b) 7:33 (c) 8:33 (d) 7:23
  7. 7.What is the smaller angle between the hour hand and the minute hand at 3:58? (in degrees) =
  8. 8.A clock shows 7:55. What time will it show 72 minutes later? (a) 8:57 (b) 9:07 (c) 10:07 (d) 9:17
  9. 9.How many degrees does the hour hand of a clock turn in 83 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 2:36? (in degrees) =
  11. 11.What is the smaller angle between the hour hand and the minute hand at 9:55? (in degrees) =
  12. 12.How many degrees does the minute hand of a clock turn in 55 minutes? =
  13. 13.A clock shows 7:14. What time will it show 114 minutes later? (a) 10:08 (b) 8:58 (c) 9:18 (d) 9:08
  14. 14.How many degrees does the minute hand of a clock turn in 24 minutes? =
  15. 15.A clock shows 3:11. What time will it show 160 minutes later? (a) 5:51 (b) 5:41 (c) 6:01 (d) 6:51
  16. 16.A clock shows 1:05. What time will it show 12 minutes later? (a) 1:17 (b) 2:17 (c) 1:27 (d) 1:07
  17. 17.A clock shows 3:41. What time will it show 92 minutes later? (a) 5:03 (b) 5:23 (c) 5:13 (d) 6:13
  18. 18.A clock shows 9:23. What time will it show 58 minutes later? (a) 10:31 (b) 10:21 (c) 10:11 (d) 11:21
  19. 19.What is the smaller angle between the hour hand and the minute hand at 5:10? (in degrees) =
  20. 20.How many degrees does the minute hand of a clock turn in 3 minutes? =
  21. 21.How many degrees does the hour hand of a clock turn in 94 minutes? =
  22. 22.How many degrees does the hour hand of a clock turn in 50 minutes? =
  23. 23.What is the smaller angle between the hour hand and the minute hand at 8:17? (in degrees) =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 12:56? (in degrees) =
  25. 25.A clock shows 7:44. What time will it show 26 minutes later? (a) 8:10 (b) 8:00 (c) 9:10 (d) 8:20
  26. 26.A clock shows 2:36. What time will it show 34 minutes later? (a) 3:10 (b) 3:00 (c) 4:10 (d) 3:20
  27. 27.How many degrees does the minute hand of a clock turn in 33 minutes? =
  28. 28.A clock shows 4:55. What time will it show 110 minutes later? (a) 6:45 (b) 6:55 (c) 7:45 (d) 6:35
  29. 29.A clock shows 2:33. What time will it show 98 minutes later? (a) 4:21 (b) 4:11 (c) 4:01 (d) 5:11
  30. 30.A clock shows 7:13. What time will it show 159 minutes later? (a) 10:02 (b) 10:52 (c) 9:52 (d) 9:42
  31. 31.What is the smaller angle between the hour hand and the minute hand at 12:09? (in degrees) =
  32. 32.A clock shows 2:46. What time will it show 72 minutes later? (a) 4:58 (b) 4:08 (c) 3:58 (d) 3:48
  33. 33.What is the smaller angle between the hour hand and the minute hand at 8:11? (in degrees) =
  34. 34.How many degrees does the minute hand of a clock turn in 40 minutes? =
  35. 35.How many degrees does the hour hand of a clock turn in 60 minutes? =
  36. 36.What is the smaller angle between the hour hand and the minute hand at 10:15? (in degrees) =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 9:24? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:43? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 7:27? (in degrees) =
  40. 40.A clock shows 12:31. What time will it show 99 minutes later? (a) 2:00 (b) 2:10 (c) 3:10 (d) 2:20

Answer key

  1. 10:51
  2. 94.5
  3. 2:58
  4. 65
  5. 135
  6. 7:33
  7. 131
  8. 9:07
  9. 41.5
  10. 138
  11. 32.5
  12. 330
  13. 9:08
  14. 144
  15. 5:51
  16. 1:17
  17. 5:13
  18. 10:21
  19. 95
  20. 18
  21. 47
  22. 25
  23. 146.5
  24. 52
  25. 8:10
  26. 3:10
  27. 198
  28. 6:45
  29. 4:11
  30. 9:52
  31. 49.5
  32. 3:58
  33. 179.5
  34. 240
  35. 30
  36. 142.5
  37. 138
  38. 146.5
  39. 61.5
  40. 2:10

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