G7 - G9 Maths Review

Algebra & Factorisation

100

DOUBLE POINTS!!!

Solve the following:

(-72) / (-9) x (-3)

-53

200

Factorise:

x² - 16x +28

(x-14)(x-2)

300

Solve for all solutions of x:

2x² + 8x + 5

(-4 +/- square root of 6)/2

400

Expand and simplify:

(2x-3)(2x-1) + 3(x-4)²

7x² - 32x + 51

500

Factorise fully: 

20x²y⁴ + 50x⁴y⁴ + 130y³

10y³(2x²y + 5x⁴y + 13)

Shapes

100

What is the formula for volume of a cone?

1/3 x (πr² x h)

200

What is the formula for calculating the area of a circle sector?

(θ/360º) × πr²

300

You have a polygon whose interior angles add to 900 degrees. What kind of polygon is it? 

7-sided polygon (heptagon)

400

DOUBLE POINTS!!

The inscribed angle in a circle is 24 degrees. What is the size of the central angle?

48 degrees

500

A cuboid has the dimensions of 3cm x 2cm x 6cm. Find the length of the diagonals within this shape.

7cm

Graphs

100

How do you work out the interquartile range? 

Q₃ - Q₁

200

Determine the ROC as the value of x increases from 1 to 4 in the function y=2x²

10

300

TRIPLE POINTS!!

Find the distance between coordinates A and B. 

A(1,2),  B(4,6)

5

400

Create an expression for y is proportional to the square of x, and one of the coordinates is (4,32).

y=2x²

500

Find the quadratic expression that fits the following domains of x and y (is also equal to):

-4<x<6   AND   -18<y<0

(-1/2)x²

Random assortment

100

Which of these rules is incorrect when working out if shapes are similar:

SSS, SAS, ASA

ASA - only need two angles (AA) for proving similarity

200

Two triangles have the same 2 side lengths, and the angle in between is 45 degrees large. Are these triangles congruent? 

YES!

300

When John flipped a coin 3 times, it landed on heads twice and tails once. That means the probability of a coin landing on heads is always 2/3. True or False

False

400

A double digit integer is made by using two different integers from 1 to 9. How many possibilities are there?

72

500

Two circles have radii of 4 and 6 cm, respectively. To make a third circle with the same area as these two circles combined, what should the radius of this circle be?

2 x root 13

BONUS ROUND

100

Find the mode of:

nectarine, pair, peach, nectarine, mango, mango, pineapple, nectarine, apple

nectarine

200

TRIPLE POINTS!!!

A straight line passes through the points (-13, -30) and (6, 16). Find the gradient of the line.

46/19

300

Convert 0.48 hours to seconds

1728 seconds

400

An amount of 1300 is increased by 20% every year.
How much will it be worth after 3 years?

2246.4

500

Find the next number in this sequence:

-29, -40, -51, -62, ?

-73