Mental Mat Quiz - non traditional algorithm

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.

William Paul Thurston

Name _________________________________________

Directions: The idea is to work all problems in your head withour using a traditional algorithm. Write answers only. Take only ten minutes to complete it.

  1. 48 + 39 = _______
  2. 113 – 98 = _______
  3. 14 x 5 x 7  = _______
  4. 4 x 249 = _______
  5. 6(37 + 63) + 18 = _______
  6. .25 x 9 = _______
  7. 1/2 + 1/3 = _______
  8. 152 – 75 = _______
  9. 85/39 is closest to what integer? _______
  10. 12.03 + .4 + 2.36 = _______
  11. If you buy items priced (tax included) at $1.99, $2.99 and $3.98, your change from a $10 bill would be? _______
  12. 90% of 160 = _______
  13. To the nearest dollar, the sale price of a dress listed at $49.35 and sold at 25% off is _______.
  14. The sum of the first ten odd positive integers (1 + 3 + 5 + 7 + 9 … 17 + 19) is _______.
  15. The area of a square region of pe
  16. rimeter of 20 is _______.
  17. The ratio of the area of a circular region of radius one to that of the circumscribed square region is closest to .5,    .6,    .7 ,    .8,    .9 

(Circular region with area of one and circumscribed square region)

Square with inscribed circle

 

  1. The average (arithmetic mean) of 89, 94, 85, 90 and 97 is _______.
  2. If 4/6  = 16/x, then x = _______.
  3. If 2x + 3 = 25, then x = _______.
  4. 75 is closest to which integer? _______.
  5. To the nearest dollar, a 15% tip on a restaurant bill of $79.87 is _______.

(Possible solutions)

 

Dr. Robert Sweetland's notes
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