Percentages/Financial
What is 35% of $800?
$280
Simplify the ratio 35:80
7:16
Simplify: -3x2 + 2x + 6x2 - 4x + 3 =
3x2 - 2x + 3
Calculate the perimeter of a square with side length 3.7 cm.
14.8 cm
Miss Lee to check :)
Increase $450 by 20%
If a car travels at 70 km/hr for 3 and a half hours, how far do they travel?
Factorise: 15xyz - 3x2y =
3xy(5 - x)
Calculate the area of a sector with radius 5 cm and theta = 270o. Leave your answer in terms of pi.
A = 75/4 pi cm2
Calculate the gradient between the points (-2, -5) and (3, -8)
Gradient = -3/5
Decrease $570 by 25%
$427.50
Find the average speed in km/hr of Princess Theodora who ran 250 m in 6 seconds.
150 km/hr
Solve for x: 2x/3 - 5 = 11
x = 24
Calculate the volume of a cylinder that has a diameter of 4 cm and a height that is 4 times the radius.
V = 32 pi cm3
Calculate the coordinates of the x & y intercepts of the line: y = -1/2 x + 5
x-intercept: (10, 0)
y-intercept: (0, 5)
Calculate the percentage change if a sofa is purchased for $250 and sold for $180
28% Loss
Tamara, Ella and Sophia won a lottery and split their winnings in the ratio they contributed when purchasing the tickets. If they split the prize money of $1.5 million in the ratio of 2:1:3 respectively, how much will each girl receive?
500,000 : 250,000 : 750,000
Solve for x: 3x2 = 27
x = +/- 3
If the area of a trapezium is 24 cm2 where the height is 6 cm and one of the parallel sides measures 3 cm, find the length of the other parallel side.
Graph the line y = -4x + 5, clearly showing all important points.
x-intercept: (5/4, 0)
y-intercept: (0, 5)
A shop owner increased the price of a sofa that originally cost $450 by 10%. Since it didn't sell, they then marked down the new price by 20%. Calculate the final price of the sofa.
$396
To get to puppy school, Princess Theodora has quite the trek.
First she walks at a steady pace for 15 minutes and then stops for about 5 minutes to sniff some grass and do her business. Realising she is late, she sprints for about 10 minutes before getting tired. Luckily, there is a friendly butcher nearby and she stops there for 10 minutes for her second breakfast. With a satisfied tummy, she licks her lips and casually walks home. When she gets home, she gets in trouble from her mother for eating too much and everyone forgets about school.
Draw a distance-time graph to represent Princess Theodora's exciting journey.
Miss Lee to check :)
x + x + 1 + x + 2 = 87
x = 28
The numbers are: 28, 29, 30
Calculate the volume of a triangular prism that has perpendicular height 4 cm, base length 5 cm and height 8 cm, which has another triangular prism cut out inside with the same height but perpendicular height of 2 cm and base length of 3 cm.
Sketch the graphs of y = -2x -1 and y = -1/2x +2 on the same plane and find the coordinates of the point of intersection.
(-2, 3)