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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 971 · 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 3:43? (in degrees) =
  2. 2.How many degrees does the hour hand of a clock turn in 76 minutes? =
  3. 3.A clock shows 7:42. What time will it show 55 minutes later? (a) 8:27 (b) 9:37 (c) 8:47 (d) 8:37
  4. 4.How many degrees does the minute hand of a clock turn in 17 minutes? =
  5. 5.A clock shows 1:17. What time will it show 63 minutes later? (a) 2:30 (b) 3:20 (c) 2:20 (d) 2:10
  6. 6.What is the smaller angle between the hour hand and the minute hand at 2:30? (in degrees) =
  7. 7.How many degrees does the minute hand of a clock turn in 30 minutes? =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 4:28? (in degrees) =
  9. 9.What is the smaller angle between the hour hand and the minute hand at 8:44? (in degrees) =
  10. 10.A clock shows 3:34. What time will it show 143 minutes later? (a) 6:07 (b) 6:57 (c) 5:57 (d) 5:47
  11. 11.How many degrees does the hour hand of a clock turn in 128 minutes? =
  12. 12.How many degrees does the hour hand of a clock turn in 120 minutes? =
  13. 13.A clock shows 5:42. What time will it show 120 minutes later? (a) 7:52 (b) 7:42 (c) 8:42 (d) 7:32
  14. 14.A clock shows 9:14. What time will it show 66 minutes later? (a) 10:10 (b) 10:20 (c) 11:20 (d) 10:30
  15. 15.A clock shows 8:41. What time will it show 56 minutes later? (a) 9:27 (b) 10:37 (c) 9:37 (d) 9:47
  16. 16.A clock shows 7:07. What time will it show 74 minutes later? (a) 8:21 (b) 8:31 (c) 8:11 (d) 9:21
  17. 17.What is the smaller angle between the hour hand and the minute hand at 12:43? (in degrees) =
  18. 18.What is the smaller angle between the hour hand and the minute hand at 3:45? (in degrees) =
  19. 19.What is the smaller angle between the hour hand and the minute hand at 1:25? (in degrees) =
  20. 20.What is the smaller angle between the hour hand and the minute hand at 3:30? (in degrees) =
  21. 21.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  22. 22.How many degrees does the hour hand of a clock turn in 98 minutes? =
  23. 23.How many degrees does the minute hand of a clock turn in 56 minutes? =
  24. 24.What is the smaller angle between the hour hand and the minute hand at 9:40? (in degrees) =
  25. 25.How many degrees does the hour hand of a clock turn in 180 minutes? =
  26. 26.How many degrees does the hour hand of a clock turn in 53 minutes? =
  27. 27.A clock shows 2:15. What time will it show 74 minutes later? (a) 3:19 (b) 3:39 (c) 3:29 (d) 4:29
  28. 28.What is the smaller angle between the hour hand and the minute hand at 6:56? (in degrees) =
  29. 29.How many degrees does the hour hand of a clock turn in 99 minutes? =
  30. 30.A clock shows 3:20. What time will it show 116 minutes later? (a) 5:26 (b) 5:06 (c) 5:16 (d) 6:16
  31. 31.What is the smaller angle between the hour hand and the minute hand at 2:52? (in degrees) =
  32. 32.How many degrees does the hour hand of a clock turn in 59 minutes? =
  33. 33.What is the smaller angle between the hour hand and the minute hand at 12:33? (in degrees) =
  34. 34.A clock shows 6:20. What time will it show 59 minutes later? (a) 7:19 (b) 7:29 (c) 7:09 (d) 8:19
  35. 35.A clock shows 10:33. What time will it show 119 minutes later? (a) 12:22 (b) 12:42 (c) 12:32 (d) 1:32
  36. 36.What is the smaller angle between the hour hand and the minute hand at 12:03? (in degrees) =
  37. 37.How many degrees does the hour hand of a clock turn in 117 minutes? =
  38. 38.A clock shows 10:27. What time will it show 163 minutes later? (a) 2:10 (b) 1:10 (c) 1:20 (d) 1:00
  39. 39.A clock shows 5:15. What time will it show 35 minutes later? (a) 5:40 (b) 6:50 (c) 5:50 (d) 6:00
  40. 40.What is the smaller angle between the hour hand and the minute hand at 1:20? (in degrees) =

Answer key

  1. 146.5
  2. 38
  3. 8:37
  4. 102
  5. 2:20
  6. 105
  7. 180
  8. 34
  9. 2
  10. 5:57
  11. 64
  12. 60
  13. 7:42
  14. 10:20
  15. 9:37
  16. 8:21
  17. 123.5
  18. 157.5
  19. 107.5
  20. 75
  21. 136
  22. 49
  23. 336
  24. 50
  25. 90
  26. 26.5
  27. 3:29
  28. 128
  29. 49.5
  30. 5:16
  31. 134
  32. 29.5
  33. 178.5
  34. 7:19
  35. 12:32
  36. 16.5
  37. 58.5
  38. 1:10
  39. 5:50
  40. 80

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