Year 9 Other Stuff

Question 1

How to multiply fractions?

Answer 1

x a ax
- × - = —–
y b by

Question 2

How to divide fractions?

Answer 2

Keep first fraction same, change ÷ to × and take reciprocal of second fraction ‘flip it’

Question 3

How to add and subtract fractions

Answer 3

Make it so they have a common denominator, then add together

Question 4

How to write a recurring decimal as a fraction?

Answer 4

Line up decimals, use algebra, you know how to do this omg and if you don’t look in your book

Question 5

How to work out the combined multiplier?

Answer 5

Multiply together the multipliers

Question 6

a¹

Answer 6

a

Question 7

a‐¹

Answer 7

a

Question 8

a‐²

Answer 8

a²

Question 9

What does a negative power do to a fraction

Answer 9

It reciprocates it

Question 10

(ab)³

Answer 10

a³ × b³

Question 11

What does a power of ½ do to a number?

Answer 11

It square roots it

Question 12

What does a power of ⅓ do to a number?

Answer 12

It cube roots it

Question 13

When is a number in standard form?

Answer 13

It is in the form
a × 10^b

Question 14

3 × 10³

Answer 14

3000

Question 15

3 × 10²

Answer 15

300

Question 16

3 × 10¹

Answer 16

30

Question 17

3 × 10⁰

Answer 17

3

Question 18

3 × 10^-1

Answer 18

0.3

Question 19

3 × 10^-2

Answer 19

0.03

Question 20

Example of multiplying standard form?

Answer 20

(3x10⁷) × (2×10⁴)
= (3×2) × (10⁷×10⁴)
= 6×10¹¹

Question 21

Example of dividing standard form?

Answer 21

(3×10⁷) ÷ (2×10⁴)

= (3/2) × (10⁷×10‐⁴)
= 1.5×10³

Question 22

What is the equation of a perpendicular straight line

Answer 22

Y = -½x +c

They have negative reciprocal gradients

Question 23

General form of a quadratic equation?

Answer 23

y = ax² + bx + c

Question 24

What is the shape of a quadratic line if a > 0?

Answer 24

U shape

Question 25

What is the shape of a quadratic line if a < 0?

Answer 25

n shape

Question 26

What is the shape of a quadratic line if a = 0?

Answer 26

Straight line

Question 27

General form of a cubic equation?

Answer 27

y = ax³ + bx² + cx + d

Question 28

What is the shape of a cubic line if a > 0?

Answer 28

/\/ shape

Question 29

What is the shape of a cubic line if a < 0?

Answer 29

\/\ shape

Question 30

General form of a reciprocal equation?

Answer 30

y = a/x

Question 31

What shape are reciprocal graphs

Answer 31

Never quite meet intercepts

If a is positive, they occupy top right and bottom left

If a is negative, they occupy top left and bottom right

If x is squared, they occupy both top sections

Question 32

Look in your yr9 book for solving simultaneous equations I beg

Question 33

Equation for arc length?

Answer 33

x = angle

x
—– × 2πr
360

Question 34

Equation for sector area?

Answer 34

x
—— × πr²
360

Question 35

Equation for perimeter of sector?

Answer 35

Arc length + 2r

Question 36

What is used for greater/smaller than AND equal to on a number line?

Answer 36

●

Question 37

What is used for greater/smaller than on a number line?

Answer 37

○

Question 38

What is the unique rule for solving inequalities?

Answer 38

When multiplying or dividing by a negative you MUST flip/reverse the sign

Question 39

What is used for greater/smaller than AND equal to on a graph?

Answer 39

A solid line

Question 40

What is used for greater/smaller than on a graph?

Answer 40

A dashed line

Question 41

How to show the region you want to include in an inequality graph

Answer 41

Shade the region you want to EXCLUDE
denote region you want to INCLUDE with an ‘R’

Question 42

How does it change from length to area to volume?

Answer 42

Length: k, eg. 10
Area: k², eg. 100
Volume, k³ eg. 1000

Question 43

Define iff

Answer 43

If and only if