ATAR Mock Exam

Question 1

When rounding, how many decimal places do we go to for Money? What about percentages?

Answer 1

We round to 2DP for Money and 1DP for Percentages.

Question 2

How do we calculate simple interest?

Answer 2

Interest = Principle x Rate x Time

Question 3

How do we calculate Compound interest?

Answer 3

Amount = Principle x (1+Rate) to the power of Time.

Question 4

What are Irrational Numbers?

Answer 4

An Irrational number is a number that never ends. e.g. pi (3.14159…)

Question 5

What are Rational Numbers?

Answer 5

A Rational number is a number that has a finite amount of digits or is recurring. e.g 0.59 OR 0.8181818181

Question 6

What is a Surd?

Answer 6

A Surd is the square root of a number when the number is not a perfect square, thus resulting in an Irrational number.

Question 7

What is a perfect square?

Answer 7

Perfect squares are the result of any number squared. e.g 4 is a perfect square as it is the result of 2 x 2.

Question 8

True or False: We can only add and Subtract the same type of Surds

Answer 8

True.

e.g: 2 Root 3 + 3 Root 3 = 5 Root 3

2 Root 3 + 3 Root 2 = 2 Root 3 + 3 Root 2

Question 9

What does Root A + Root A equal?

Answer 9

Root A + Root A = A

Question 10

True or False: Root AB = Root A + Root B

Answer 10

True

Question 11

What is the formula for dividing Surds?

Answer 11

Root A/Root B = Root A/B

Question 12

What is the rule for Perfect Squares?

Answer 12

(a+b)2 = (a+b)(a+b) = a2 + 2ab + b2

(a-b)2 = (a-b)(a-b) = a2 - 2ab + b2

(a-b)(a+b) = a2 - b2

Question 13

What is the rule for the Difference of Squares?

Answer 13

a2 - b2 = (a-b)(a+b)

Question 14

Show an equation transitioning from factorised to expanded:

Answer 14

[2(x-3)] = {2x-6}

[Factorised] = {Expanded}

Question 15

Factories this using common factors: 15y-5

Answer 15

15y-5 = 5(3y-1)

Question 16

Factories these equations using common factors:

9xsquared + 3xy

40xsquared y-16x ysquared

Answer 16

9xsquared + 3xy = 3x(3x + y)

40xsquared y-16x ysquared = 4xy(10x - 4y)

Question 17

Simplify these equations:

8x/10

25p/45

Answer 17

8x/10 = 4x/5

25p/45 = 5p/9

Question 18

If x=3 y=-2 z=5, then what is Root z2 - x2/y?

Answer 18

Root z2 - x2/y = 4/-2 = 2/-1 = -2

Question 19

Simplify the following Algebraic Fractions:

2a/4

-a2/a

2/8(g + 5)

Answer 19

2a/4 = 1a/2

-a2/a = -a

2/8(g + 5) = 1/4(g + 5) = 1/4g + 20

Question 20

What does this sign mean?

Answer 20

< = Less Than

Question 21

Solve the inequality:

x + 4 > 7

Answer 21

x + 4 > 7 = x > 7 - 4 = x > 3

Question 22

True or False: When x or / by a negative, then inequality changes to its opposite.

Answer 22

True. e.g -3x > 3 = x < -1

Question 23

Solve the Simultaneous Equations:

3x + 5y = -3
x - 5y = 19

Answer 23

3x + 5y = -3
x - 5y = 19

4x + 0 = 16, 4x = 16, x = 4

3 x 4 + 5y = -3, 12 + 5y = -3, 5y = -3-12, 5y= -15, y= -3

x = 4
y = -3

Question 24

What is the form for a Linear Graph?

Answer 24

Standard Form: Y = mx + c

Question 25

What does m represent? What does c represent?

Answer 25

M is the gradient, and c is the y-intercept.

Question 26

What are parallel lines? What are Perpendicular lines? How are they different?

Answer 26

Parallel lines are lines at the same angle that will never meet. Perpendicular lines are lines at right angles to each other. They are different in that parallel lines never touch and perpendicular lines always do.

Question 27

How do we know if two lines are parallel?

Answer 27

If their gradients are the same then they are parallel.

Question 28

How do we know if two lines are perpendicular?

Answer 28

If the gradient of one equation becomes the gradient of the other when flipped the lines are perpendicular.

Question 29

What is a parabola?

Answer 29

A parabola is a symmetrical, curved graph.