Simple Interest
Lily borrowed $10 600 at 6.4% flat-rate interest for 5 years. How much interest will she pay on her loan?
$3392
Lachlan borrowed $30 000 at 4.6%p.a. compounding annually over 11 years. Calculate the total amount he needs to repay on his loan. Round your answer to the nearest dollar.
$49 201
Convert 12 cm2 to m2
0.0012 m2
Find the area of a triangle with a base of 15 cm and a perpendicular height of 21 cm.
157.5 cm2
Calculate the surface area of a cylinder that has a radius of 2.6 m and a height of 2.2 m.
78.41m2
Rebekah borrowed $22 000 at 5.9% flat-rate interest for 7 years. What is the total amount she will need to repay to the bank?
$31 086
Grace invested $8 800 for 5 years at 4.1%p.a. compounding quarterly. How much was her investment worth at the end of this time? Round your answer to the nearest cent.
$10 790.95
Convert 300 km3 to m3
0.000 000 3 m3
Find the area of a trapezium with the following dimensions:
a= 14 cm
b= 20 cm
h= 0.16 m
272 cm2
Calculate the total volume of this compound shape. The shape is a rectangular prism with a cylinder sitting on top. All measurements are in metres.
Dimensions of the rectangular prism are:
L=12, W=9, H=5
Dimensions of the cylinder are:
r=4, h=3
690.8 cm3
Charlotte borrowed $18 900 at 6.2% flat-rate interest in order to buy her car. If she repaid a total of $10 546.20 to the bank at the end of her loan period, how long did she borrow the money for?
9 years
How much money would you save on a $50 000 loan over 10 years at 3.8% p.a. if you switch from compounding monthly to compounding yearly?
$72 601.16 compounding annually
$73 070.34 compounding monthly
Answer: $469.18
Convert 456 mm2 to m2
456 000 000 m2
A rectangle and a circle have the same area. If the length and width of the rectangle are 18m and 24m, calculate the radius of the circle.
11.73 m
Calculate the volume of a cone given that the diameter of the base is 86 cm and the height is 1.5 m.
92 450 cm3
or
0.09245 m3
Josh invested his savings for 5 years in a term deposit offering 8.2% flat-rate interest. He was paid $3690 interest at the end of the 5 years; how much did he invest to start with?
$9000
Zac withdraws a total of $15 395.20 from his long-term savings account. He opened the account 10 years ago and was offered a fixed interest rate of 6.6% p.a. compounding quarterly. How much money did she initially invest?
$8 000
A vessel has a volume of 567 cm2. How many litres can that vessel hold?
567 mL = 0.567L
Which shape has the greatest area?
A square with sides of 6.2 m or a circle with a diameter of 7 m.
Circle
Calculate the surface area of a cone that has a diameter of 32 cm and a perpendicular height of 40 cm and a slant height of 42 cm. Round your answer to the nearest whole.
2915 cm3
Dion paid in total $25 400 on his loan for his new car. The bank charged him $5400 of interest for 6 years. What was the rate of interest?
6%
Jayden invested $40 000 for in a term deposit for 5 five years compounding quarterly. If he withdrew $48 807.60 at the end of that time, at what interest rate did he invest his money?
4%
The volume of a water tank is 5.5 m3. What is the capacity of this water tank in litres?
5 500L
The area of the large circle is 14.4cm2 and area of the small circle is 9cm2. How many times larger is the radius of the large circle than the radius of the small circle?
1.26
Two circles are drawn inside a rectangle so their circumferences touch each other and three sides of the rectangle. If the areas of the circles are 9.9cm2 each, calculate the area of the rectangle.
Round your answers to 2 decimal places throughout your working. (Radius - to 2dp)
12.7 cm2