Maths Exam 2026

What is the formula for calculating the quantity of a whole percentage

quantity divide the whole times 100

To increase a number by a percentage, should you use addition or subtraction

addition

If Sally got 25 out of 45 on her exam, what is her score in percentage

55.56%

Increase 40 by 30% (work out on paper)

52

When comparing numbers, you dont convert them to the same (true or false)

False

Compare these numbers - 2/5 (fraction), 0.44, 20% (work out on paper)

20%, 40%, 44%

In most mathematical equations, what does “of” mean

to multiply

23% of 142 = (work out on paper)

32.66

When finding the whole, should you find 1%, then times 100 (true or false)

True

17% of a number is 51, Find the Whole (work out on paper)

1% - 3 = 100% - 300

Simplify 15/25 (fraction) (work out on paper)

3/5

Simplify 16/40 (fraction) (work out on paper)

2/5

Simplify 12/15 (fraction ) (work out on paper)

4/5

Convert This Table (Work out on paper)

0.4

44%

1/5, 0.2

Convert this table (work out on paper)

0.18, 18%

27/100, 0.27

205%

35% of 120 (work out on paper)

42

Simplify this Ratio - 4:10 (work out on paper)

2:5

Simplify this ratio - 6:18 (work out on paper)

1:3

Simplify this ratio - 8:10 (work out on paper)

4:5

Divide by a ratio - $20 - 2:3 (work out on paper)

2 - $8

3 - $12

Find a quantity from a share - Recipe flour - oats 2:3 (work out on paper) (g)

flour - 100g

oats - 150g

30 books in 10 days, how many books a day (work out on paper)

6 books / day

In year 8, the ratio of boys to girls is 3:5. If there are 140 girls in year 8, what is the total number of students in year 8? (Work out on paper)

224

10km in 2 hours (rate) (work out on paper)

5km / hour

2800 in 20 days (rate) (work out on paper)

140 / day

What is the formula for Arc Lengths

A = PI times R squared times 1/2

What is the formula to find the circumference of a circle (Diameter)

C = PI times D

What is the formula to find the circumference of a circle (radius)

C = PI times R times 2

What is the formula for finding the Area of a circle

A = PI times R squared

What is this part of the circle called

The circumference

What is this part of a circle called?

Radius

What is this part of a circle called

The Centre Line

What is this part of the circle called

Diameter

Calculate the circumference of the circle (work out on paper)

15.70m

Calculate the Area of the circle (work out on paper)

7.07mm

What is the formula for finding the hypotenuse

a squared + b squared = c squared

What is the formula for finding the short side

c squared - b squared = a squared

C is the length of the ____

hypotenuse

A is the length of the____

shorter side

B is the length of the______

other shorter side

Calculate the hypotenuse (Work out on paper)

25

Calculate the Short side (work out on paper)

21.82

Two algebraic terms are called _____

Like terms

To collect the like terms means to simplify an ______ by combining all the _______ together through ________ or ______________

expression, like terms, addition, subtraction

Expand this expression - 3ab x 7ab squared

3 × 7 x a x a x b x b x b

3ab x 7ab squared =

21a squared b cubed

Write in simplified form - 3 x b

3b

p divide 4

4p

What are the like terms in this bunch - 4y, 3x, -2y, 4z

4y and -2y

If a = 3, b = 2 then calculate 3a (work out on paper)

9

If a = 3, b = 2 then calculate ab (work out on paper)

6

If a = 3, b = 2 then calculate -4b (work out on paper)

-8

3x + 2x = (work out on paper)

5x

4p - 2q + 3p + 5q = (work out on paper)

7p - 7q

2b + 4a + 7b+ 4a = (work out on paper)

0a + 9b

3a times 4 (work out on paper)

12a

4b times 2c (work out on paper)

8bc

5a(squared)bc times 3abd= (work out on paper)

15 a(cubed)b(squared)cd

The inverse of addition is

subtraction

the inverse of multiplication is

division

x + 3 = 9 (work out on paper)

x = 6

a - 5 = 4 (work out on paper)

a = 9

2x = 16 (work out on paper)

x = 8

c/3 = 11 (work out on paper)

c = 33

5x = 45 (work out on paper)

x = 9

x/6 +2 = 8 (work out on paper)

x = 36

x/3 - 3/2 = 4

x = 16.5

What is the pattern in the relationship

+3

What is the formula for this scenario

y = 3x + 1

What would be the equation for this table of values

y = 4x + 2

Fill in the missing spaces (work out in book)

6, 14, 22

What is the plotted spot

(-2, -3)

What is the plotted spot

(1, 2)

Is this a plotted linear relationship

Yes

Is this a plotted linear relationship

No

Which is the best buy - 6 eggs for $18 or 10 eggs for $27 (work out on paper)

10 eggs for $27

Bought for $200, sold for $250, what is the profit (work out on paper)

$50

Bought for $200, sold for $150, was it profit or loss

loss

what if the formula for the percentage profit

profit divide cost times 100

What is GST and how much percent is it

Goods and Service Tax - 10%

From Pre-GST, how do we figure out the GST amount

Pre-GST price times 10%

If knowing the Pre-GST and the GST amounts, how do we figure out the final price

at both of the Pre-GST and GST prices together

From the Final GST price, what is the formula to find out the pre-GST

Final price divide 110

From GST, whats the formula to figure out the Final Amount (with no pre price)

GST amount times 11

Complete this Table (Work out on paper)

$59.9, $658.9

$680, $748

$700, $770

$600, $60

$78.9, $867.9

What is the Mean

The Average

What is the Mode

The most amount of

What is the Median

The middle

What is the range

The difference between the smallest and largest number

Out of these numbers, what is the Mean? (work out on paper)

4.6

Out of these numbers, what is the median? (work out of paper)

4

Out of these numbers, what is the Mode? (Work out on paper)

2

Out of these numbers, what is the range? (Work out on paper)

7

Out of these numbers what is the Mean? (work out on paper)

167.6

Out of these numbers, what is the mode? (Work out on paper)

164

Out of these numbers, what is the median? (Work out on paper)

169

Out of these numbers, what is the range? (Work out on paper)

37