A
B
C
D
Tie breaker if needed
100
Evaluate, answer in exact form.
sqrt(75)+sqrt(20)
7sqrt(5)
100
How many students in this class have first names beginning with M?
3 - Michael, Misha, Mason
100
What house is Vihaan in?
Scarborough
100
100 points: a) Name the four main swimming strokes/ styles.
100points: b) Which stroke is generally known to be the slowest?
a) Breaststroke, freestyle, butterfly, backstroke
b) Breaststroke
200
A triangle has angles that measure 90, 37 and 53 degrees and side lengths 3cm, 4cm and 5cm. Which side is opposite the 90degree angle?
5cm - longest side is the hypotenuse in this right triangle.
200
What is the population of Australia?
25.7 million
200
What is the gradient of a line perpendicular to y=-4x+1 ?
1/4
200
If you have seven white socks and nine black socks in a drawer, how many socks do you have to pull out blindly in order to ensure you have a matching pair?
Three socks. If the first one is one color, and the second one is another color, then the third sock will make a matching pair, regardless of what color it is.
300
A triangle has angles that measure 90, 37 and 53 degrees and side lengths 3cm, 4cm and 5cm. Which side is opposite the 37degree angle?
3cm - shortest side opposite the smallest angle.
300
Write the working out required to find the missing side length in the below triangle. Do not evaluate (no calculator required).
tan53=x/22
x=22*tan53
300
A primary school reported that 140 students attended school during the COVID lockdown period. If 65% of students stayed home, how many students are enrolled at that school?
400 students.
35% = 140
5%=20
100%=400
300
Which of the below lines are parallel?
Line A: y=-3x+4
Line B: 2y-6x=8
Line C: 2y+6x=8
Lines A & C
400
Factorise,
64x^2-8x
8x(8x-1)
400
What is the equation of a line with gradient 2, passing through the point (3, -1)?
y=2x-7
400
What is the name of Perth's men's basketball team?
Perth Wildcats
400
What is the name of Perth's women's basketball team?
Perth Lynx
500
Factorise,
4y^2-9
(2y-3)(2y+3)
500
There are three boxes. One box is labeled BANANAS, another is labeled STRAWBERRIES and the last is labeled MIXED. All the boxes are labeled incorrectly. You’re only allowed to reach into one box and take out one piece of fruit. Without looking into the box, how will you fix the labels?
Open the box labeled MIXED first. You pull out a strawberry. All of the boxes are labeled wrong, so we know that this box only has strawberries. Move the STRAWBERRIES label to this box. The box labeled BANANAS must be mislabeled. It cannot be strawberries, so it must be MIXED. Move the MIXED label to this box. The last box contains only bananas.
500
You need to measure out 4L of water, but you only have a 3L bucket and a 5L bucket. How do you measure out 4L exactly?
Fill the 3L and pour into the 5L. Then, fill the 3L again and use it to continue filling the 5L. This will take 2L out of the 3L bucket. Now, dump all of the contents out of the 5L. Pour the 1L that is left in the 3L bucket into the 5L, then fill the 3L again and pour into the 5L. This will give you exactly 4L.
500
You’re standing outside a room with no windows. The room has three light bulbs (inside room) and three switches outside the room. Each switch controls one of the light bulbs. You may only enter the room one time. How can you find out what switch goes to each light bulb?
To find out what switch goes to what light bulb, you could turn on the first switch and wait five minutes. After five minutes have passed, turn off the first switch and turn on the second switch. Look for the warm light bulb when you walk back into the room. The light that’s on goes to the second switch, the warm light bulb goes to the first switch and the last light bulb goes to the third switch.
500
Solve,
Apple = 20
Orange = 5
Pineapple = 3
Total = 3+20x5 = 103