The sum of the first 2005 terms of the sequence 1, 2, 3, 4, 1, 2, 3, 4, $\ldots$ is$5011$$5110$$5020$$5010$$501$Q1_C1100Singers in a singing competition are rated by an applause metre. In the diagram, the arrow for one of the contestants is pointing to a rating that is closest to $9.4$$9.3$$9.7$$9.9$$9.5$Q2_C3100If $\sqrt{5+n}=7$, the value of $n$ is$4$$9$$24$$44$$74$Q3_C4100A piece of string fits exactly once around the perimeter of a square whose area is 144. Rounded to the nearest whole number, the area of the largest circle that can be formed from the piece of string is$144$$733$$113$$452$$183$Q4_C5100Suppose that $k>0$ and that the line with equation $y = 3kx + 4k^2$ intersects the parabola with equation $y = x^2$ at points $P$ and $Q$, as shown. If $O$ is the origin and the area of $\triangle OPQ$ is 80, then the slope of the line is$4$$3$$\frac{15}{4}$$6$$\frac{21}{4}$Q5_C4100There are six identical red balls and three identical green balls in a pail. Four of these balls are selected at random and then these four balls are arranged in a line in some order. How many different-looking arrangements are possible?1516101112Q6_C1100Shuxin begins with \(10\) red candies, \(7\) yellow candies, and \(3\) blue candies. After eating some of the candies, there are equal numbers of red, yellow, and blue candies remaining. What is the smallest possible number of candies that Shuxin ate?\(17\)\(7\)\(11\)\(20\)\(14\)Q7_C3100A circular spinner is divided into three sections. An arrow is attached to the centre of the spinner. The arrow is spun once. The probability that the arrow stops on the largest section is \(50\%\). The probability it stops on the next largest section is 1 in 3. The probability it stops on the smallest section is\(\frac14\)\(\frac25\)\(\frac16\)\(\frac27\)\(\frac{3}{10}\)Q8_C3100In the diagram, each letter from \(A\) to \(H\) is equal to a different integer from \(1\) to \(8\). Also, \(H\) is a perfect square and is \(1\) more than \(D\) \(5\) and \(8\) are in the same row \(C\) is a multiple of both \(G\) and \(D\) \(B\) is the largest prime number in the set The value of \(B+G\) is even What is the value of \(F\)?\(2\)\(6\)\(1\)\(7\)\(8\)Q9_C1100