Ratio
Simplify 36: 20
9:5
ABCDEFG is a 7-sided polygon. Find the sum of its interior angles.
(7-2)x180 = 900
Given that T 50 =4n-3 , find T50 .
197
y = 3x- 4
What is the gradient of the graph?
Gradient = 3
2.5 kg : 750 g
10: 3
The train travels at an average speed of 520 m/min.
Olympian Andy Baddeley claims that he can run faster than the train.
His best record was completing a 5 km race in 828 seconds.
Find the average running speed of Andy in m/min.
5 km = 5000 m
828 seconds = 13.8 mins
Average speed =5000/13.8
=362m/min
Calculate the size of an interior angle in the regular hexagon.
(6-2) x 180 = 720
720 / 6 = 120
Tn= 4n-3.
Is Tn= 499 possible in this sequence?
Show your working and explain your answer clearly.
499=4n-3
n=125.5
Since n is not an integer, it is not possible for the sequence to have 499
y = -2 x +6
What is the y - intercept?
y intercept = 6
It is given that x:y= 3:4 and y:z = 6:5 . Leaving your answer in the simplest form, find x:y:z
9:12:10
During a closing down sale, a shop gave 20% discount on all items. After the discount, the price of a television was $879. If the shop decides to give a further 10% discount on the current sale price, find the total amount of discount given.
80% - 879
100% - 1098.75
Discount = 1098.75 - 879 = 219.75
10% - 87.90
Total discount = 219.75+87.90 = 307.65
ABCDEFG is a 7-sided polygon. Given that angle A = 3x-80 ,angle B= C= D= E=2x and the remaining angles are x+50 each, find the value of x.
3x-80+4(2x)+2(x+50)=900
13x=880
x=67.7
what is the gradient?
y = 2x+ 1
Gradient is 2
At a product launch, the newest iPhone is $1299 before 8% GST. What is the price of the iPhone after GST?
100% - 1299
108% - 1402.92
Two students are working on a Mathematical problem on polygons. In one of his intermediate working steps, Gerald calculated that each exterior angle of a regular polygon is 50°. Lyla pointed out that his answer was incorrect.
Do you agree or disagree with Lyla? Justify your answer with mathematical calculations.
n = 360 /50
= 7.2
Agree that his ans is incorrect because since the number of sides, not a whole number (also accept integer), 50o cannot be the size of an interior angle of a regular polygon.
Is (0, 8) on the line?
y = 4(0) - 5
= -5
No, it is not on the line
A set lunch meal costs $9.90++ when Chermaine dines in at the restaurant. She has to pay 10% service charge on the cost of the meal and a further charge of 8% Goods and Services Tax (GST). How much will this set lunch cost?
9.9 x (110/100) = 10.89
10.89 x (108/100) = 11.76