Algebra & Factorisation
DOUBLE POINTS!!!
Solve the following:
(-72) / (-9) x (-3)
-53
What is the formula for volume of a cone?
1/3 x (πr2 x h)
How do you work out the interquartile range?
Q3 - Q1
Which of these rules is incorrect when working out if shapes are similar:
SSS, SAS, ASA
ASA - only need two angles (AA) for proving similarity
Find the mode of:
nectarine, pair, peach, nectarine, mango, mango, pineapple, nectarine, apple
nectarine
Factorise:
x2 - 16x +28
(x-14)(x-2)
What is the formula for calculating the area of a circle sector?
(θ/360º) × πr2
Determine the ROC as the value of x increases from 1 to 4 in the function y=2x2
10
Two triangles have the same 2 side lengths, and the angle in between is 45 degrees large. Are these triangles congruent?
YES!
TRIPLE POINTS!!!
A straight line passes through the points (-13, -30) and (6, 16). Find the gradient of the line.
46/19
Solve for all solutions of x:
2x2 + 8x + 5
(-4 +/- square root of 6)/2
You have a polygon whose interior angles add to 900 degrees. What kind of polygon is it?
7-sided polygon (heptagon)
TRIPLE POINTS!!
Find the distance between coordinates A and B.
A(1,2), B(4,6)
5
When John flipped a coin 3 times, it landed on heads twice and tails once. That means the probability of a coin landing on heads is always 2/3. True or False
False
Convert 0.48 hours to seconds
1728 seconds
Expand and simplify:
(2x-3)(2x-1) + 3(x-4)2
7x2 - 32x + 51
DOUBLE POINTS!!
The inscribed angle in a circle is 24 degrees. What is the size of the central angle?
48 degrees
Create an expression for y is proportional to the square of x, and one of the coordinates is (4,32).
y=2x2
A double digit integer is made by using two different integers from 1 to 9. How many possibilities are there?
72
An amount of 1300 is increased by 20% every year.
How much will it be worth after 3 years?
2246.4
Factorise fully:
20x2y4 + 50x4y4 + 130y3
10y3(2x2y + 5x4y + 13)
A cuboid has the dimensions of 3cm x 2cm x 6cm. Find the length of the diagonals within this shape.
7cm
Find the quadratic expression that fits the following domains of x and y (is also equal to):
-4<x<6 AND -18<y<0
(-1/2)x2
Two circles have radii of 4 and 6 cm, respectively. To make a third circle with the same area as these two circles combined, what should the radius of this circle be?
2 x root 13
Find the next number in this sequence:
-29, -40, -51, -62, ?
-73