Algebra and Expressions
Correlation
Trigonometry
Financial Maths
Non-Linear Relationships
100
Simplify
15p + 3p
18p
100
Given y=7x -2, state the gradient
m=7
100
Write the ratio (fraction) for cos
adjacent/hypotenuse
100
How many weeks are in one year when calculating annual wages?
52
100
Is the parabola y=5x^2 smiley (concave up) or frowney (concave down)?
Smiley (concave up)
200
Simplify
12a + 5b-2a + b
10a + 6b
200
Given y=-4x+9, state the y-intercept
c=9
200
Convert to decimal degrees:
62'45'
62.75 degrees
200
A worker earns $31 per hour and works 32 hours. Calculate their normal weekly pay.
$992
200
Is y=-x^2-7 concave up or down?
Concave down
300
Simplify
4x\times 3x^2
12x3
300
How do we know when a graph has a positive gradient vs a negative gradient?
Positive - uphill from left to right
Negative - downhill from left to right
300
Convert 28.5 degrees to degrees and minutes
28'30'
300
A worker earns $26 per hour. Calculate their pay for 3 hours at double time.
$156
300
Find y when x = -4 for
y=x^2-3
y=13
400
Simplify
(30m^5n^3)/5m^2n
6m3n2
400
Write the equation of a line with gradient -5 and y-intercept 2
y=-5x+2
400
Find the hypotenuse of a right-angled triangle with shorter sides of 5cm and 12cm
13cm
400
A salesperson earns a $420 retainer plus 4% commission on $6500 in sales. Calculate their total pay.
$680
400
State the turning point of y=x^2+8
(0,8)
500
Simplify
(5y)/8+y/4
(7y)/8
500
Calculate the gradient of the line
m=3/6=1/2
500
A right-angled triangle has a hypotenuse of 17cm and one shorter side of 8cm. Find the missing side
15cm
500
A worker receives $4.50 for each item produced. Calculate their piecework pay for 85 items.
$382.50
500
State the axis of symmetry for y=5x^2+2
x=0
600
Expand 5(2x-3)
10x-15
600
Complete the table of values for y=x-6
-8, -7, -6, -5, -4
600
Prove whether a triangle with sides 10cm, 24cm and 26cm is right-angled
Yes
10^2+24^2=26^2 = 676
600
A worker's gross pay is $1480 and their net pay is $1165. Calculate the total deductions.
$315
600
Describe the vertical translation from y=x^2 to y=x^2-9
Translated 9 units down
700
Expand and simplify
(Hint: use the area model)
(x-6)(x+2)
x^2+2x-6x-12=x^2-4x-12
700
Complete the table of values for y=2x-7
-11, -9, -7, -5, -3
700
In a right-angled triangle, the hypotenuse is 18 cm and an angle is 42 degrees. Find the adjacent side to 1 decimal place.
18 x cos42 = 13.4cm
700
A worker normally earns $1100 per week. Calculate the extra 17.5% leave loading for three weeks of annual leave.
$577.50
700
Compared to y=x2, is y=1/4x^2 narrower or wider?
Wider
800
Solve 2x-1=15
x=8
800
Describe the association
(linear/non-linear, positive/negative, weak/moderate/strong)
Linear, positive, strong
800
A right-angled triangle has an opposite side of 11 cm and a hypotenuse of 20 cm. Find the angle to the nearest degree.
sin^(-1)(11/20)=33^o
800
A person earns $72,500 in wages and $1500 in interest. Their allowable deductions are $4200. Calculate their taxable income.
$69800
800
Complete the y-values (like in a table of values) for
y=3^x when x = 0, 1,2,3
1,3,9,27
900
Solve
4(2x-1)=36
x=5
900
Describe the association
(linear/non-linear, positive/negative, weak/moderate/strong)
Linear, weak, negative
900
A kite is flying with a horizontal distance of 25 m from a person. The angle of elevation is 47 degrees. Find its height above the person to 1 decimal place.
25tan47=26.8m
900
Calculate the simple interest earned on $6500 invested at 4% p.a. for 5 years.
$1300
900
A bacteria population starts at 400 and doubles every hour. Calculate the population after 5 hours.
400\times2^5=12800
1000
Solve
3(x+4)=2x+19
x=7
1000
Calculate the gradient of the line
m=-6/6=-1
1000
A ship travels on a true bearing of 138 degrees. Express this as a compass bearing.
S42E
1000
A laptop costs $3200 and depreciates by 18% p.a. using the declining balance method. Find its salvage value after 3 years, to the nearest cent.
3200(0.82)^3=$1764.38
1000
Find the points of intersection of y=x^2-2 and y=x+4
(-2,2) and (3,7)