JHS1-3 Maths Review

Algebra

100

Expand and simplify the following:

3(x+y) + 4(y+x)

7x+7y

200

Expand and simplify the following:

5a+2b-(a+3b)

4a-b

300

DOUBLE POINTS! 

Expand and simplify 

(4x)² x (y/-10) / (4xy/15)

NOTE: / means divide

-6x

400

Factorise: (4a)²-(2b+5)²

(2a+2b+5)(2a-2b-5)

500

DOUBLE POINTS!!

Factorise: xy²-x-3y²+3

(y+1)(y-1)(x-3)

Square roots

100

Root(25)

+-5

200

DOUBLE POINTS!!

-root(42) / root(6)

NOTE: / means divide

-root(7)

300

Simplify root(50)

5root(2)

400

Find the integer and decimal numbers for root(79)

Interger: 8

Decimal: Root(79) - 8

500

Find all natural numbers of n in the following: 

Root(53-2n)

You have 2 minutes for this question!

2, 14, 22, 26

Shapes and Figures

100

Name the shape: a quadrilateral with all equal sides and 90 degree angles.

square

200

Fill in the blank: The inscribed angle in a circle is ______ the central angle.

half

300

To find the volume of pointy objects, what formula would you use? 

area of base x height x 1/3

400

The similarity ratio of two triangles is 3:1. If the larger triangle has a side length of 21, the equivalent side on the smaller triangle must be....

7

500

In an isosceles triangle that is NOT equilateral, what are the size of each of the angles? 

45, 45, 90

Linear and quadratic equations

100

DOUBLE POINTS!!

y is proportional to x. Find the function that has a slope of 3 and a y-intercept of 7. 

y=3x+7

200

Solve for all solutions of x: 

x²-3x=0

3, 0

300

Which graph is WIDER? 

y=3x² OR y=0.5x²

y=0.5x²

400

y is inversely proportional to x. Find the function that passes through (6, 18)

y=108/x

500

y is proportional to the square of x. Find the equation that has a ROC of 4, and the domain of x is -2<x<3. 

y=4x²

RANDOM

100

How many outcomes are there if I flip a coin three times?

8

200

In a circle, if the central angle is 180 degrees, the inscribed angle must be?

90 degrees

300

How do you find the similarity ratio for surface areas of shapes? 

Side similarity ratio squared. 

e.g. 2:1 side ratio, 2²:1² surface area ratio

400

DOUBLE POINTS:

There are two consecutive numbers. 7 times the larger number plus 1 is equal to the square of the smaller number. Find the two numbers. 

8, 9

500

I have 2 red balls, 4 white balls, 3 blue balls, and 3 purple balls. If I selected 1 ball at random, determine the probability it is NOT a red ball.  

P(not red) = 10/12

                = 5/6