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Clock Reasoning Worksheet

Logical reasoning lesson 17: Clocks: angles and time · Set 2 · 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 11:31? (in degrees) =
  2. 2.A clock shows 8:15. What time will it show 164 minutes later? (a) 10:49 (b) 11:59 (c) 10:59 (d) 11:09
  3. 3.What is the smaller angle between the hour hand and the minute hand at 8:10? (in degrees) =
  4. 4.What is the smaller angle between the hour hand and the minute hand at 11:06? (in degrees) =
  5. 5.What is the smaller angle between the hour hand and the minute hand at 5:39? (in degrees) =
  6. 6.What is the smaller angle between the hour hand and the minute hand at 11:40? (in degrees) =
  7. 7.What is the smaller angle between the hour hand and the minute hand at 8:19? (in degrees) =
  8. 8.What is the smaller angle between the hour hand and the minute hand at 11:23? (in degrees) =
  9. 9.How many degrees does the minute hand of a clock turn in 11 minutes? =
  10. 10.What is the smaller angle between the hour hand and the minute hand at 1:16? (in degrees) =
  11. 11.A clock shows 10:15. What time will it show 18 minutes later? (a) 10:33 (b) 10:43 (c) 10:23 (d) 11:33
  12. 12.What is the smaller angle between the hour hand and the minute hand at 2:46? (in degrees) =
  13. 13.How many degrees does the minute hand of a clock turn in 3 minutes? =
  14. 14.What is the smaller angle between the hour hand and the minute hand at 9:14? (in degrees) =
  15. 15.A clock shows 4:30. What time will it show 111 minutes later? (a) 6:21 (b) 6:31 (c) 7:21 (d) 6:11
  16. 16.A clock shows 8:57. What time will it show 63 minutes later? (a) 11:00 (b) 9:50 (c) 10:10 (d) 10:00
  17. 17.A clock shows 11:11. What time will it show 166 minutes later? (a) 2:07 (b) 2:57 (c) 1:57 (d) 1:47
  18. 18.How many degrees does the minute hand of a clock turn in 8 minutes? =
  19. 19.A clock shows 12:02. What time will it show 90 minutes later? (a) 1:42 (b) 2:32 (c) 1:32 (d) 1:22
  20. 20.How many degrees does the hour hand of a clock turn in 50 minutes? =
  21. 21.A clock shows 1:29. What time will it show 37 minutes later? (a) 3:06 (b) 2:16 (c) 2:06 (d) 1:56
  22. 22.A clock shows 9:24. What time will it show 157 minutes later? (a) 12:11 (b) 1:01 (c) 12:01 (d) 11:51
  23. 23.How many degrees does the minute hand of a clock turn in 46 minutes? =
  24. 24.How many degrees does the hour hand of a clock turn in 112 minutes? =
  25. 25.How many degrees does the minute hand of a clock turn in 18 minutes? =
  26. 26.What is the smaller angle between the hour hand and the minute hand at 6:08? (in degrees) =
  27. 27.How many degrees does the minute hand of a clock turn in 36 minutes? =
  28. 28.A clock shows 6:30. What time will it show 163 minutes later? (a) 10:13 (b) 9:03 (c) 9:13 (d) 9:23
  29. 29.A clock shows 5:32. What time will it show 53 minutes later? (a) 6:25 (b) 7:25 (c) 6:15 (d) 6:35
  30. 30.How many degrees does the minute hand of a clock turn in 56 minutes? =
  31. 31.How many degrees does the minute hand of a clock turn in 31 minutes? =
  32. 32.How many degrees does the hour hand of a clock turn in 127 minutes? =
  33. 33.How many degrees does the minute hand of a clock turn in 35 minutes? =
  34. 34.What is the smaller angle between the hour hand and the minute hand at 7:05? (in degrees) =
  35. 35.A clock shows 11:14. What time will it show 71 minutes later? (a) 1:25 (b) 12:35 (c) 12:25 (d) 12:15
  36. 36.How many degrees does the hour hand of a clock turn in 21 minutes? =
  37. 37.What is the smaller angle between the hour hand and the minute hand at 1:44? (in degrees) =
  38. 38.What is the smaller angle between the hour hand and the minute hand at 3:24? (in degrees) =
  39. 39.What is the smaller angle between the hour hand and the minute hand at 3:25? (in degrees) =
  40. 40.How many degrees does the hour hand of a clock turn in 80 minutes? =

Answer key

  1. 159.5
  2. 10:59
  3. 175
  4. 63
  5. 64.5
  6. 110
  7. 135.5
  8. 156.5
  9. 66
  10. 58
  11. 10:33
  12. 167
  13. 18
  14. 167
  15. 6:21
  16. 10:00
  17. 1:57
  18. 48
  19. 1:32
  20. 25
  21. 2:06
  22. 12:01
  23. 276
  24. 56
  25. 108
  26. 136
  27. 216
  28. 9:13
  29. 6:25
  30. 336
  31. 186
  32. 63.5
  33. 210
  34. 177.5
  35. 12:25
  36. 10.5
  37. 148
  38. 42
  39. 47.5
  40. 40

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