Mixed Bag
Who wrote the following, Romeo and Juliet, Hamlet & much Ado about Nothing?
William Shakespeare
Finish the phrase: The midpoint ( M ) of a line segment is the________point between the two endpoints.
Halfway
In the standard formula for the equation of the line (y=mx+c) what do the following letters each represent?
y=y co-ordinate
m= gradient/slope/rate of change
x=x co-ordinate
b=y-intercept (when x=0)
Fill in the blank: The gradient is a measure of ____?
Slope/Rate of change as x increases by 1
An empty tank on a water truck is being filled. It takes 4 hours to fill the tank with 6000 litres. What is the rate at which water is poured into the tank?
1500L per hour
Jacques Bermon Webster II is a songwriter and rapper commonly known by what stage name?
Travis Scott
Find the midpoint M (x, y) of the line segment joining these pairs of points (−3, −2) and (5, 3) using the formula: M = ( x1 + x2 / 2 , y1 + y2 / 2)
M = (1, 0.5)
Find the equation of the line with gradient -3 and a point that passes through (-1, 6)
y=-3x+3
a straight line graph such as y= 3 is set to have a gradient of..?
0 (Horizontal Line)
Rule for distance travelled over a given time for a car is given by d=50+80t where d (km) and t (hours). For a 2 hour journey from Melbourne to Sydney, how far has the car travelled?
50+80(2)=160+50=210km
What tennis star, whose last name is the same as the Japanese city where she was born, won the women's singles competition at the 2021 Australian Open?
Naomi Osaka
Find the length of the segment joining (−1, 5) and (3, −2)
8.06
Write down the gradient and y-intercept of the straight line with equation 3𝑦 = 2𝑥 − 9
m=2/3 & b=-9/3 or -3
Find the gradients of the straight lines through these pairs of points. (2, 4) and (-2, 16)
m=-3
Which animal is travelling the slowest?
A leopard runs 250 m in 15 seconds.
A jaguar runs 3.0 km in 2 minutes.
A panther runs 60 km in 1.2 hours.
Jaguar
0.25km/15 Secs=0.016km/Sec
3km/120 Secs=0.025km/Sec
60km/4320 Secs=0.013Km/Sec
What is Australia's oldest chocolate bar?
Cherry Ripe is Australia's oldest chocolate bar, first devised way back in 1924.
the midpoint of the segment joining (n, 1) and (1, −3) is (3.5, −1), find the value of n using the mid-point formula
x = 21
Find the equation of the line that passes through (2, 9) and (5, 3).
m=3-9/5-2= -6/3 = m=-2
y=-2x+13
A line with gradient -2 passes through the points (5, 5) and (b, 9). Find the value of b.
b=3
The water level (cm) in a dam starts at 300cm and decreases by 5 cm everyday for 10 days. What would be the correct rule for this relationship.
h=-5t+300
What was the first console video game that allowed your progress in the video game to be saved? (Nintendo Game).
The Legend of Zelda
The length of the line segment is given as √306 units, points provided are (–1, –7) and (a, 2). Using the distance between two points formula, find the value of a.
a = 14 or -16.
Find an equation of the line that passes through the points (4, 2) and (−8, 11). Give your answer in the form 𝑎𝑥 + 𝑏𝑦 = 𝑐 where 𝑎, 𝑏 and 𝑐 are integers.
3x+4y=20
Find the gradient of the line joining the points (4, 5) and (6, 5). What is the equation of this line?
gradient=0
y=5 (Straight Line)
The altitude, h metres, of a helicopter t seconds after it begins its descent is given by the equation :h=350−20t. If instead the rule was h=350+20t, describe what the helicopter would be doing.
Increasing its altitude at rate of 20 m/s.