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WorksheetsExploring Geometry and Finance Concepts
Total questions: 15
Worksheet time: 8mins
What is the formula for the volume of a sphere?
V = 2πr²h
V = (4/3)πr³
V = (3/4)πr²
V = (1/3)πr²h
Calculate the surface area of a cylinder with a radius of 3 cm and a height of 5 cm.
150.72 cm²
120.50 cm²
75.40 cm²
180.00 cm²
If the radius of a sphere is doubled, how does its volume change?
The volume increases by a factor of 8.
The volume increases by a factor of 4.
The volume remains the same.
The volume decreases by a factor of 2.
What is the value of log10(100)?
1
10
2
3
Define a surd and give an example.
The square root of -1 (√-1) is an example of a surd.
The cube root of 8 (∛8) is an example of a surd.
The square root of 2 (√2) is an example of a surd.
The number 4 is an example of a surd.
How do you calculate the total surface area of a sphere?
6πr²
2πr²
4πr²
πr²
If a cylinder has a height of 10 cm and a base radius of 4 cm, what is its volume?
160π cm³
120π cm³
80π cm³
200π cm³
What is the relationship between logarithms and exponents?
Logarithms are a type of exponent.
Exponents are the inverse of logarithms.
Logarithms are the inverse of exponents.
Logarithms and exponents are unrelated concepts.
Calculate the surface area of a sphere with a radius of 7 cm.
700.00 cm²
615.44 cm²
400.25 cm²
500.00 cm²
Explain the concept of compound interest in finance.
Compound interest is interest calculated on the initial principal and also on the accumulated interest of previous periods.
Simple interest is calculated only on the initial principal amount.
Compound interest is the same as the total amount of money saved.
Interest is calculated only at the end of the investment period.
If you invest $1000 at an interest rate of 5% compounded annually, how much will you have after 3 years?
1200.00
1100.50
1050.75
1157.63
What is the formula for the volume of a cylinder?
V = πr²/3
V = 2πrh
V = πr² + h
V = πr²h
How do you simplify the surd √50?
5√2
10√5
√100
2√25
What is the base of the natural logarithm?
2.718
e
ln(10)
π
If the volume of a cylinder is 150 cm³ and the height is 5 cm, what is the radius?
2.50 cm
4.00 cm
5.50 cm
3.09 cm
