R - T (Gauss 2004) At the Gauss Store you earn 5 reward points for each $25 you spend. Stuart spent $200 and received points. Find.

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1 R - T (Gauss 2004) t the Gauss Store you earn 5 reward points for each $25 you spend. Stuart spent $200 and received points. Find. 2. (Gauss 2009) How many numbers in list 11, 12, 13, 14, 15, 16, 17 are prime numbers? 3. (Gauss 2009) The number represents the number of. in a.. 4. (Gauss 2009) Which of the letters positioned on the number line best represents the value of? 0 P Q R 1 S T U 2 5. (Gauss 2009) Three different integers have a product of 144. What is the largest possible sum? 6. (Open 2008) The average of four different positive integers is 8. What is the largest possible of any of these integers? 7. (Open 2006) In is midpoint of. If and, then find the measure of. M 8. (Open 2006) What is the value of?

2 R - S - T (Open 2007) If and, what is the value of? 2. (NML Oct. 2009) What value of satisfies? 3. (NML Oct. 2009) n equilateral triangle and a square share a common side, as shown. Find. E 4. (Open 2001) n operation is defined by. What is the value of? 5. (Open 1999) etermine the sum of all odd positive two digit integers that are divisible by (Gauss) In the diagram, all rows, columns and diagonals have the sum 12. What is the sum of the corner numbers? 7. (Gauss 2008) The diagram shows two isosceles right triangles with sides 5 cm and 3 cm as shown. What is area of shaded region? (Gauss 2006) When Sam is walking in a straight line, the following is observed: when he is 12 m from a light post 8 m high, his shadow is 4 m. Find length of Sam s shadow when he is 8 m from the same light post.

3 R - T (Gauss 2000) Write as a decimal. 2. (Gauss 2000) Find the value of expression. 3. (Gauss 2000) is a square that is made of two identical rectangles and two squares of and. What is the area of? 4. (dapt Gauss 2000) The sum of 5 consecutive integers is 150. What is the largest integer? 5. (Gauss 2000) rectangular building block has a square base as shown. Its height is 8 m. What is the side length of the base? 8 6. (2000 adapt) In a basketball shooting competition where a player shoots ten balls which are numbered 1 to 10, if he misses 2 shots, what is the lowest score he can get? 7. (Gauss 2000) Twelve points are marked on a rectangular grid as shown. How many squares can be formed by joining 4 of these points? 8. (&P Math League 2009) triangle has sides of lengths 24, 10 and 26. What is the radius of the circumcircle? (meaning)

4 R - S - T (&P 2009) What is the last digit in? 2. (&P 2009) What is the greatest common factor of and the LM of these numbers? 3. (2009 T.S.) Express in simplest radical form. 4. (2009 T.S.) If nine students can eat 30 pieces of candy in 20 minutes, how many pieces of candy can 45 students eat in 6 hours? 5. (2009 T.S.) Solve for if. 6. (2009 T.S.) What is the sum of the number of days in ugust, the number of sides in a dodecagon and the number of prime numbers between 20 and 40? 7. (2009 T.S.) Name the object formed by using the midpoints of faces of a octahedron as vertices. 8. (2006 T.S.) How many positive integer factors of 4536 are also factors of 4116?

5 R - T (1969 J.) If the point is reflected in the line and the resulting point is reflected in the line, find the image. 2. (1973 J.) If is the midpoint of line segment joining and then find. 3. (1983 P.) Find the area of in the diagram. 4. Slope is defined as. line through and has slope of. Find the value of. 5. (1970 J.) and represent two mirrors placed at right angles. is a light source and a ray of light reaches the eye at. What are the coordinates of? 6. (1967 J.) The lines and form a triangle. Find the number of points with integral coordinates which are inside this triangle. 7. (1979 J.) Find the number of acute angles in the diagram where is acute. P O Q O 8. (1982) If all the integers from 1 to 1,000,000 are printed, find the number of times the numeral 5 will be printed.

6 R - S - T (1975 G.) fisherman has 6 different trout flies. How many ways can he choose a selection of two flies? 2. (1980 G.) pair of dice are tossed. How many ways can a seven be rolled? 3. (1971 J.) six team league plays every other team four times. What is the total number of games in the league? 4. (1975 J.) Given and, the centre of two circles are and, which touch each other and the rectangle at. If the radius of the smaller circle is, find the radius of the larger circle. X M E F Y N 5. (1980 G.) Two identical logs are found. power saw cuts one log into four pieces in 9 seconds. How long will it take to cut the other log into five pieces? 6. (1977 G.) What is the maximum number of points of intersection of 4 lines? 7. (1969 J.) In diagram, is a circular arc with centre. and are one unit in length. What is the area of shaded region? 8. (1978 Jr. - hard) If, find the ratio of slope to slope of. 2 O 4

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