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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 993 · 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 7:19? (in degrees) =
  2. 2.A clock shows 4:05. What time will it show 73 minutes later? (a) 6:18 (b) 5:28 (c) 5:18 (d) 5:08
  3. 3.What is the smaller angle between the hour hand and the minute hand at 11:43? (in degrees) =
  4. 4.How many degrees does the minute hand of a clock turn in 47 minutes? =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 6:15? (in degrees) =
  6. 6.A clock shows 2:57. What time will it show 15 minutes later? (a) 3:22 (b) 4:12 (c) 3:02 (d) 3:12
  7. 7.A clock shows 10:22. What time will it show 13 minutes later? (a) 10:45 (b) 11:35 (c) 10:25 (d) 10:35
  8. 8.How many degrees does the hour hand of a clock turn in 48 minutes? =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 2:09? (in degrees) =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 8:57? (in degrees) =
  11. 11.A clock shows 1:24. What time will it show 150 minutes later? (a) 3:44 (b) 4:54 (c) 3:54 (d) 4:04
  12. 12.What is the smaller angle between the hour hand and the minute hand at 4:46? (in degrees) =
  13. 13.A clock shows 3:47. What time will it show 40 minutes later? (a) 4:27 (b) 4:37 (c) 4:17 (d) 5:27
  14. 14.What is the smaller angle between the hour hand and the minute hand at 8:47? (in degrees) =
  15. 15.What is the smaller angle between the hour hand and the minute hand at 7:24? (in degrees) =
  16. 16.What is the smaller angle between the hour hand and the minute hand at 9:26? (in degrees) =
  17. 17.A clock shows 7:41. What time will it show 105 minutes later? (a) 10:26 (b) 9:16 (c) 9:26 (d) 9:36
  18. 18.A clock shows 1:14. What time will it show 57 minutes later? (a) 2:01 (b) 2:21 (c) 2:11 (d) 3:11
  19. 19.How many degrees does the minute hand of a clock turn in 51 minutes? =
  20. 20.How many degrees does the hour hand of a clock turn in 54 minutes? =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 3:56? (in degrees) =
  22. 22.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  23. 23.How many degrees does the minute hand of a clock turn in 28 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 10:17? (in degrees) =
  25. 25.A clock shows 8:32. What time will it show 167 minutes later? (a) 12:19 (b) 11:09 (c) 11:19 (d) 11:29
  26. 26.What is the smaller angle between the hour hand and the minute hand at 11:47? (in degrees) =
  27. 27.What is the smaller angle between the hour hand and the minute hand at 11:33? (in degrees) =
  28. 28.A clock shows 8:36. What time will it show 168 minutes later? (a) 12:24 (b) 11:14 (c) 11:34 (d) 11:24
  29. 29.How many degrees does the hour hand of a clock turn in 115 minutes? =
  30. 30.What is the smaller angle between the hour hand and the minute hand at 11:41? (in degrees) =
  31. 31.A clock shows 1:30. What time will it show 59 minutes later? (a) 2:19 (b) 3:29 (c) 2:39 (d) 2:29
  32. 32.How many degrees does the hour hand of a clock turn in 28 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 19 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 12:20? (in degrees) =
  35. 35.A clock shows 12:00. What time will it show 60 minutes later? (a) 2:00 (b) 1:10 (c) 1:00 (d) 12:50
  36. 36.How many degrees does the hour hand of a clock turn in 120 minutes? =
  37. 37.A clock shows 8:47. What time will it show 106 minutes later? (a) 10:23 (b) 10:43 (c) 11:33 (d) 10:33
  38. 38.A clock shows 1:19. What time will it show 141 minutes later? (a) 3:40 (b) 3:30 (c) 3:50 (d) 4:40
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:52? (in degrees) =
  40. 40.How many degrees does the minute hand of a clock turn in 21 minutes? =

Answer key

  1. 105.5
  2. 5:18
  3. 93.5
  4. 282
  5. 97.5
  6. 3:12
  7. 10:35
  8. 24
  9. 10.5
  10. 73.5
  11. 3:54
  12. 133
  13. 4:27
  14. 18.5
  15. 78
  16. 127
  17. 9:26
  18. 2:11
  19. 306
  20. 27
  21. 142
  22. 63
  23. 168
  24. 153.5
  25. 11:19
  26. 71.5
  27. 148.5
  28. 11:24
  29. 57.5
  30. 104.5
  31. 2:29
  32. 14
  33. 114
  34. 110
  35. 1:00
  36. 60
  37. 10:33
  38. 3:40
  39. 164
  40. 126

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