All about Maths
The developer of the Pythagorean Theorem.
Pythagoras
A dozen is equal to how many pieces?
12 pieces
Which of the following are perfect square trinomials?
a. x2 + 10xy + 100y2
b. x2 – 10xy + 100y2
c. x2 – 20xy + 100y2
d. x2 + 20xy + 100y2
c. x2 – 20xy + 100y2
and
d. x2 + 20xy + 100y2
Trigonometry is the branch of mathematics which was first used to understand _______.
Astronomy
The following are examples of the Fibonacci sequence EXCEPT:
a. 0, 1, 1, 2, 3, 5
b. 2, 3, 5, 8, 13
c. 34, 55, 89, 144, 233
d. 1, 4, 7, 10, 13
d. 1, 4, 7, 10, 13
What is the only even prime number?
Two or 2
Simplify (z⁴)⁷
z²⁸
Which of the following is a sum of two cubes?
a. x3 + 9 b. x3 – 1
c. x6 + 8 d. x6 + 16
c. x6 + 8
Why is an angle of elevation or depression always an acute angle?
Humans can only look up or down at a maximum of 90 degrees.
What is the leading coefficient of the polynomial function f(x) = x – 2x3 – 4?
The leading coefficient is -2.
How many squares of all sizes are there in a chessboard?
204 squares
What must be added to the product of -5 and 9 to get 22?
67
If one factor of 4x2 – 25 is
2x – 5, what is the other factor?
The other factor is 2x + 5.
What is the rule that is appropriate to use when finding a side length of any triangle given the three interior angles.
The Sine Rule
What is the equation of a circle with radius 4 units and centre (2, 5)?
(x – 2)2 + (y – 5)2 = 42
Who is the Father of Trigonometry?
Hipparchus of Nicaea
The difference of 8z³ and 3z³ is _______.
5z³
The technique of collecting data from an entire population is called a _______.
Census
One side and the longer diagonal of a parallelogram are 6 units and 14 units. The side and the diagonal formed an angle equal to 50 degrees. What would be the area of the parallelogram?
64.348 units2
At a given point on a circle, how many line/s can be drawn that are tangent to the circle?
Only 1
The only number that has letters in alphabetical order.
45 (Forty)
Write the Decimal Number 0.00003819 in Scientific notation (Standard form).
A. 0.3819 x 10-4
B. 3.819 x 10-5
C. 3.819 x 10-4
D. 38.19 x 10-6
B. 3.819 x 10-5
The method of collecting data from every kth member of a population is called _______.
Systematic Sampling
A rectangular lot is 5 metres wide and 12 metres long. How long is the diagonal that cuts diagonally across the lot?
13 metres
Define a polynomial.
Polynomials are expressions containing 1 or more terms, where each term contains a coefficient and a variable (e.g. x) raised to a positive or zero integer exponent. Terms can be added or subtracted, but not multiplied or divided.
E.g. 3x2 + x + 1