The expression $6a - 5a + 4a - 3a + 2a - a$ is equal to$3a$$3a^6$$3$$-21a$$-21a^6$Q1_C1100When $x=9$, which of the following has the largest value?$\sqrt{x}$$\displaystyle\frac{x}{2}$$x-5$$\displaystyle\frac{40}{x}$$\displaystyle\frac{x^2}{20}$Q2_C2100In the diagram, what is the area of $\triangle ABC$?$36$$54$$108$$72$$48$Q3_C2100In the diagram, $JLMR$ and $JKQR$ are rectangles. Also, $JR=2$, $RQ=3$ and $JL=8$. What is the area of rectangle $KLMQ$? $6$$16$$10$$15$$24$Q4_C3100The surface area of a large cube is 5400 cm$^2$. This cube is cut into a number of identical smaller cubes. Each smaller cube has a volume of 216 cm$^3$. How many smaller cubes are there?$25$$125$$164$$180$$216$Q5_C2100If $10\%$ of $s$ is $t$, then $s$ equals$0.1t$$0.9t$$9t$$10t$$90t$Q6_C4100John lists the integers from 1 to 20 in increasing order. He then erases the first half of the integers in the list and rewrites them in order at the end of the second half of the list. Which integer in the new list has exactly 12 integers to its left?$1$$2$$3$$12$$13$Q7_C3100Two circles are centred at the origin, as shown. The point $P(8,6)$ is on the larger circle and the point $S(0,k)$ is on the smaller circle. If $QR=3$, what is the value of $k$? $3.5$$4$$6$$6.5$$7$Q8_C5100In the diagram, the horizontal distance between adjacent dots in the same row is 1. Also, the vertical distance between adjacent dots in the same column is 1. What is the perimeter of quadrilateral $PQRS$? $12$$13$$14$$15$$16$Q9_C3100If $x=11$, $y=-8$, and $2x-3z=5y$, what is the value of $z$?$-6$$13$$54$$\frac{62}{3}$$-\frac{71}{3}$Q10_C4100Sam rolls a fair four-sided die containing the numbers 1, 2, 3, and 4. Tyler rolls a fair six-sided die containing the numbers 1, 2, 3, 4, 5, and 6. What is the probability that Sam rolls a larger number than Tyler?$\frac{1}{8}$$\frac{5}{12}$$\frac{3}{5}$$\frac{3}{4}$$\frac{1}{4}$Q11_C5100A rectangular flag is divided into four triangles, labelled Left, Right, Top, and Bottom, as shown. Each triangle is to be coloured one of red, white, blue, green, and purple so that no two triangles that share an edge are the same colour. How many different flags can be made? $180$$200$$220$$240$$260$Q12_C5100The expression $4 + \frac{3}{10} + \frac{9}{1000}$ is equal to$4.12$$4.309$$4.039$$4.012$$4.39$Q13_C2100The average age of Andras, Frances and Gerta is 22 years. What is Gerta's age?$19$$20$$21$$22$$23$Q14_C1100The first four rows of a table with columns $V$, $W$, $X$, $Y$, and $Z$ are shown. For each row, whenever integer $n$ appears in column $V$, column $W$ contains the integer $2n + 1$, column $X$ contains $3n + 1$, column $Y$ contains $5n+1$, and column $Z$ contains $7n+1$. For every row after the first, the number in column $V$ is the smallest positive integer that does not yet appear in any previous row. The integer 2731 appears in column $W$. The complete list of columns in which 2731 appears is $W$$W$, $X$, $Y$, and $Z$$W$, $X$ and $Z$$W$, $Y$ and $Z$$W$ and $Z$Q15_C4100A rectangle with height $x$ and width $2x$ has the same perimeter as an equilateral triangle with side length 10. What is the area of the rectangle? 185025200100Q16_C2100In the diagram, $\triangle PQR$ has $\angle PQR = 120^\circ$. Also, $\angle QPS = \angle RPS$ and $\angle QRS = \angle PRS$. (In other words, $SP$ and $SR$ bisect $\angle QPR$ and $\angle QRP$, respectively.) What is the measure of $\angle PSR$? $130^\circ$$120^\circ$$140^\circ$$160^\circ$$150^\circ$Q17_C5100If $2x + 6 = 16$, the value of $x+4$ is7891513Q18_C3100In the diagram, three lines intersect at a point. What is the value of $x$?30456090120Q19_C3100Ali, Bea, Che, and Deb compete in a checkers tournament. Each player plays each other player exactly once. At the end of each game, either the two players tie or one player wins and the other player loses. A player earns 5 points for a win, 0 points for a loss, and 2 points for a tie. Exactly how many of the following final point distributions are possible? \begin{array}{c|c} Player & Points \\ \hline Ali & 15 \\ Bea & 7 \\ Che & 4 \\ Deb & 2 \end{array} \begin{array}{c|c} Player & Points \\ \hline Ali & 10 \\ Bea & 10 \\ Che & 4 \\ Deb & 4 \end{array} \begin{array}{c|c} Player & Points \\ \hline Ali & 15 \\ Bea & 5 \\ Che & 5 \\ Deb & 2 \end{array} \begin{array}{c|c} Player & Points \\ \hline Ali & 12 \\ Bea & 10 \\ Che & 5 \\ Deb & 0 \end{array} 01234Q20_C2100The expression \(\dfrac{20+22}{2}\) is equal to\(1\)\(4\)\(20\)\(21\)\(22\)Q21_C4100Alvin, Bingyi and Cheska play a two-player game that never ends in a tie. In a recent tournament between the three players, a total of 60 games were played and each pair of players played the same number of games. How many games did Bingyi win?\(12\)\(24\)\(28\)\(30\)\(36\)Q22_C3100Jurgen is travelling to Waterloo by bus. He packs for 25 minutes. He then walks to the bus station, which takes 35 minutes. He arrives 60 minutes before his bus leaves. His bus leaves at 6:45 p.m. At what time did he start packing?4:45 p.m.4:40 p.m.4:35 p.m.4:55 p.m.4:50 p.m.Q23_C1100