Semester 1 Maths
Algebra
Year 8 Maths
General Knowledge
I
I
General Knowledge
II
II
100
In a financial context, what is the name for the addition (or lowering) of value based on time passing on a loan, or payment?
Interest
100
Explain what it means for two terms to be 'like'.
They have the same combination of variables/letters or lack thereof.
100
Without a calculator, give a reasonable estimate for the decimal value of the square root of 130.
Any answer between 11 and 12 (i.e.: 11.5).
[130 is between 121 and 144, therefore its square root is between 11 and 12]
100
What is the sixth planet from the sun?
Saturn.
100
How many strings are on a standard guitar?
6
200
What are the names of the values in the five-number summary?
Minimum, Q1, Q2 (median), Q3, Maximum
200
Name four different strategies/methods/rules we can use to factorise, or solve quadratic equations?
Four of;
Completing the Square, The Quadratic Formula, Difference of Two Squares, Perfect Square Rule, Highest Common Factor, and the method with factors that multiply and add...
200
What is the name for a shape that is made up of multiple, smaller and simpler shapes?
A composite shape.
200
What is the least vital organ?
Appendix.
200
How many sides does a dodecagon have?
12
300
Generally, what percentage of a house's sale price do you need to have on hand in order to get a loan for the rest?
Given your answer, how much would you need in order to get a loan for a $450,000 home?
20% is the standard rate (banks sometimes have offers, or will go lower), and at that rate you would need $90,000 on hand.
300
Define a what it means for an equation to be a quadratic, and also what it means if it is a monic quadratic.
[Must have both parts correct at once]
A quadratic has one variable with a power of 2.
A monic quadratic means that variables co-efficient is 1.
[This can be phrased lots of ways, teacher-verified]
300
This is a famous pattern of numbers;
1, 1, 2, 3, 5, 8, 13, 21, 34, 55.... so on.
What is the name of this pattern?
'The Fibonacci Sequence'
(may accept Golden Ratio)
300
Precisely how many days are in a year? (Non-leap year)
365.25
300
What is the name for when a ten-pin bowler scores three strikes in a row?
Turkey
400
Name four of the standard SI units.
There are seven, which measure the following...
Length, mass, time, current, temperature, matter, light intensity
Four of;
Meters, kilograms, seconds, amps, kelvin, mole, candela
400
Without referring to anything, write the quadratic formula on the board.
(-b +/- sqrt(b2 - 4ac))/2a....
[Teacher-verified]
400
Name three tests we can use to test for congruence in two triangles.
Three of; Side-side-side (SSS), Side-angle-side (SAS), Angle-angle-side (AAS), Right-angle-hypotenuse-side (RHS)
400
How many keys does the average computer keyboard have?
104 or 105 (region-dependent)
400
Steve Jobs is famous for his work in the tech company Apple. Since his death some years ago, who is the current head of Apple?
Tim Cook
500
If there are 3.28 feet to a meter, and there are 3 feet to a yard...
How many square yards is a circle, with a radius of 2.48 meters?
23.10 yd 2
(2.48 x 3.28)/3 = 2.711... yards
A = pi * r2 = pi * 2.7112
= 23.10
500
Complete the square on the following quadratic, and solve for g.
g2 + 9g + 20 = 0
(g2 + 9g + (81/4)) + 20 - (81/4) = 0
(g + (9/2))2 - 1/4 = 0
g + 9/2 = +/- 1/16
g = -9/2 +/- 1/16 ........ (-72 +/- 1)/16
g = -71/16 OR -73/16
500
The distance formula, shown below, is derived from a better-known equation. What is the equation?
[Can respond spoken or write on board if that helps] 
Pythagoras' Theorem; a2+b2=c2
[We solve for c, and in a graph, a and b become the horizontal and vertical distance... the difference in x and y values]
500
What was the first living thing that was sent to space?
Fruit flies (1947) (followed later by mice, dogs, rabbits, guinea pigs, cat, frogs, fish, spiders...)
500
There are five arabic letters that are excluded from the official Italian alphabet. Name 3 of them.
Three of; J, K, W, X and Y.