review pack grade 9 maths

In order to help you out, the owner of the safe has left a list of possible numbers in the code that opens the safe, but the order is a mystery and as an extra layer of security, there a[r]

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REVIEW PACK

GRADE MATHS

LESSON

RESOURCES

ADDITIONAL RESOURCE/S

Functions and Their Graphs Exploring maths pgs 290-293; 299-300

https://www.mathsisfun.com/e quation_of_line.html

https://www.youtube.com/watc h?v=X7D6b_kxqZE

Similarity and Congruency Exploring maths pgs 81-92,

https://www.khanacademy.org/ test-prep/praxis-math/praxis-ma th-lessons/gtp praxis-math les sons geometry/a/gtp praxis-m ath article congruence-and-si

milarity lesson

Angles Exploring maths

pgs 75-80

https://www.analyzemath.com/ middle_school_math/grade_9/g

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FUNCTIONS AND THEIR GRAPHS

a) y = 3x + b) y = -4x - c) y = - 3x d) y -2x =

e) 5y = 15x + 20 f) 6y + 12x = 24 g) 11y +5x = -4 h) 6y -3x +36 =

1 The line segment AB has coordinates A (4, 9) and B (13, 18) What is the length of the line AB?

2 Complete the table of values and plot the graph of y = -2x -

3 Show that line A and line B are parallel:

Line A: 3y + 6x - 15 = and Line B: y = -2x + 10

4 Prove that the following straight lines are perpendicular: Line D: y = -

x

2

3

+ and Line E: 3y - 2x + 18 =

5 Line A has the equation y = 3x -

Line B is parallel to line A and goes through the point (3, 12) What is the equation of the line?

x -2 -1

y

Find the gradient and y-intercept of the following lines:

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SIMILARITY AND CONGRUENCY

Crack the safe!

The antidote to a poison is being kept in a safe but the code to unlock it has been lost! The owner of the safe has been struck down by the poison but has left himself some clues to the code in case of this ever happened; but now we need your skills to solve them In order to help you out, the owner of the safe has left a list of possible numbers in the code that opens the safe, but the order is a mystery and as an extra layer of security, there are more possible answers than you need

ABCDandAEFGare mathematically similar trapeziums.AE= cm EF= 12 cm BC= 18 cm (a) Work out the length ofAB

TrapeziumAEFGhas an area of 36 cm2.

(b) Work out the area of the shaded region

Are the shapes below congruent or similar?

Are the two shapes below congruent?

Find the length in the diagram below?

The rectangle below is enlarged by a scale factor What is the area of the enlarged rectangle?

The rectangle below is the cross section of the cuboid in length What is the volume of this cuboid after being enlarged by a scale factor?

The two shapes are mathematically similar:

Congruent: 183 Similar: 916

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