Math Olympiad 5( Week 10 Quiz 2) 3. There are 10 triangles. Each triangle has exact one shared side with another triangle. How many sides are there in total? 4. A book has 300 pages numbered 1, 2, 3, ... and so on. In how many pages does the digit 8 appear more than once in the page number? 5. A quadrilateral is a polygon with four sides. A trapezoid is a quadrilateral with only one pair of parallel sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle is a quadrilateral with four right angles. A rhombus is a quadrilateral with four sides of equal length. A square is a quadrilateral with all four sides of equal length and four right angles. 
Is a square always a rectangle? 6. The following shape contains 13 identical squares. The area of the shape is 13 square feet. What is the perimeter (in feet) of the shape? 7. 65 + 65 + 65 + 65 + 65 + 65 8. What is the value of |A − B| + |B − A| if A = -3 and B = -11? 9. If S = 2, T = 5 and U = 7, what is the value of S2 − (T − U)2? 10. If x = 4 and y = , then y = 12. What is the product of (1 + )(1 + )(1 + )(1 + )(1 + )? 13. Deducting a number by and then adding the result by is equivalent to performing which of the following operations on the number? 14. What is the sum of all two-digit numbers that have at least one digit being 8? |