Grade 10 math exam review ontario năm 2024

The bundle could be used as preparation for the final exam. The revision guide has exercises with solutions , but the formal assessments do not, aside from the large final exam.

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Description

All main objectives covered

Total Pages

5 pages

Answer Key

Not Included

Teaching Duration

1 hour

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Grade 10 Math Exam Review

Concepts

Solving systems of equations

Solving by graphing

Solving by substitution

Solving by elimination

Word problems

Polynomials and factoring

Expansion and simplification

Factoring

Special Quadratics

Special Products

Quadratic equations

Solving by graphing

Solving by factoring

The quadratic formula

Quadratic functions

Graphing functions

Sketching parabolas

Parabolic properties

Word problems

Trigonometry

Trigonometric ratios

Solving right triangles

Problems involving two right triangles

Sine law

Cosine law

Word problems

Analytic geometry

Line segment length

Midpoints of line segments

Grade 10 math exam review ontario năm 2024

Verifying geometric properties

Distances from points to lines

Solving Systems of equations

Numerical Problems

1.

{

How to solve by graphing i.

Change to y=mx+b form ii.

Graph the y-intercept iii.

Find the next points using the slope iv.

Repeat for other lines 2.

{ 

How to solve by substitution i.

Isolate one of the variables (one with the lowest co-efficient usually works best) ii.

Divide both sides by the co-efficient of the isolated variable iii.

Substitute that value into the same variable in the other equation iv.

Find the value of the other variable and then write: (x,y) 3.

{ 

How to solve by elimination i.

Multiply both equations by their factor in the lowest common variable ii.

Add or subtract one from the other so you eliminate the equal variables iii.

Calculate the value of the remaining variable iv.

Substitute the value of that variable to find the value of the other v.

Write as



Word problems

4.

There are ninety coins, consisting of quarters and loonies, total $42, how many of each type of coin are there?

Begin with the “let… then… statement”

In this case, let x represent the number of quarters, and y represents the number of loonies. Then,

{

Then simplify both equations, in this case, only the second can be simplified

{

Then you solve the system of equation, by whatever means easiest (or required)

Grade 10 math exam review ontario năm 2024





Then substitute the value of “y”

(in this case) into the other equation





Then you write your statement:

There are 24 Loonies and 66 quarters 5.

Amy travels 1860km in 6.5h, partly by car at 80km/h and the rest by plane at 750km/h, how did she travel by each mode

Let x represent the amount of time she travelled the amount of time she travelled by car and y the amount of time she travelled by plane. Then,

{

{









Then you substitute the value of y into the first equation



Then you write the statement

Amy travelled 4.5 hours by car and 2 hours by plane 6.

Carol invests $25000, partly in low-risk bonds at 4% and the rest in a stock that she thinks will earn 8%. If she expects to earn $1280 interest, how much did she invest at each rate?

Let x represent the amount of money invested in bonds and y the amount of money invested in stocks. Then,

{

{



100000-4y+8y=128000









Then substitute the value of y into the first equation





Then write the statement:

Carol invested 18000 in bonds and 7000 in stocks 7.

Barb ran 100 meters with the wind in 20 seconds and

against the wind in25 seconds, find barb’s

running speed and the wind speed

Let x represent the speed she travelled with the wind and y the wind speed

How many units are in Grade 10 math Ontario?

The course, using code MPM2D, is divided into six units: linear systems, analytic geometry, similar triangles and trigonometry, quadratic expressions, quadratic equations part 1, and quadratic equations part 2.

What is mathematics 10?

Mathematics 10 is an academic high school mathematics course. Upon successful completion students will receive 2 academic credits; one in Mathematics 10 and another in math, science or technology. Students in Mathematics 10 explore the following topics: measurement systems. surface area and volume.