Here is the list of free online math exercises for 9th Grade, freshman year, year 10 Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows you to practice independently.
Exercise example :
Use yellow numbers and blue arithmetic operators to calculate the target number.
Exercise example :
Using the appropriate special expansion develop the following expression `(8*a+5*b)*(8*a-5*b)`.
1412 algebraic calculation and remarkable identities | algebraic calculus 9th Grade expandExercise example :
Using the appropriate remarkable identity calculate the following expression `999^2`.
1413 algebraic calculation and remarkable identities | algebraic calculus 9th Grade expandExercise example :
Calculate the following expression `sqrt(939)^2`.
1414 functions | square roots 9th Grade simplify_surdExercise example :
Find x such that `x^2`=9.
1415 square roots | solving equations | equations | functions 9th Grade equation_solverExercise example :
Put under the same radical the following expression `sqrt(35)*sqrt(31)`.
1416 square roots | functions 9th Grade simplify_surdExercise example :
Put under the same radical the following expression `sqrt(16)/sqrt(25)`.
1417 square roots | functions 9th Grade simplify_surdExercise example :
Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.
1418 square roots | order, absolute value, inequations | numbers and equations | functions 9th Grade | 10th Grade simplify_surdExercise example :
Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.
1419 square roots | functions 9th Grade simplify_surdExercise example :
For what value of x, is the following expression `7*x+6">-"6` true?
1422 solving equations and inequations of the first degree 9th Grade inequality_solverExercise example :
Solve the following system:
`-x-2*y = 3`
`3*x = -2`
1423 solving equations and inequations of the first degree | equations of lines and linear systems | equations 9th Grade | 10th Grade solve_equationsExercise example :
Calculate the gcd of 225 and 84.
1427 integers and rational numbers | Numbers 9th Grade gcdExercise example :
Are the following numbers 205 and 318 prime to each other ?
1428 integers and rational numbers | Numbers 9th Grade gcdExercise example :
Factor the following expression `x^2-20*x`.
1430 algebraic calculation and remarkable identities | numbers and equations | factoring | algebraic calculus 9th Grade | 10th Grade factorExercise example :
Factor the following expression `9*x^2-49`.
1431 algebraic calculation and remarkable identities | numbers and equations | factoring | algebraic calculus 9th Grade | 10th Grade factorExercise example :
Let f be the application of R in R defined by f(x)=`2*(3*x+1)^2-6*(2*x+3)^2` :
Compute f(2).
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Today Tom is 15 years old and Steve is 37 years old. In how many years the age of Steve will be double that of Tom?
1440 mathematics exams and competitions | solving equations and inequations of the first degree | equations 9th Grade equation_solverExercise example :
Exercise example :
Determine the equation of the linear function whose graphical representation passes through the point D of coordinates (`3/5`,`2`).
2411 linear functions and affine functions | equations of lines and linear systems | equations 9th Grade equation_straight_lineExercise example :
Determine the reduced equation of the line passing through the points A(3;5 )and B(2;4).
2413 linear functions and affine functions | equations of lines and linear systems | equations 9th Grade | 10th Grade equation_straight_lineExercise example :
Let(O,`vec(i)`,`vec(j)`) be a reference frame of the plane. Let A and D be two points of coordinates `(13,8)` and `(7,6)` respectively in this frame, compute the coordinates of the vector `vec(AD)`.
3441 vectors | geometry 9th Grade | 10th Grade vector_coordinatesExercise example :
The plane is given an orthonormal reference frame (O,`vec(i)`,`vec(j)`). Let A and D be two points of coordinates (`13`,`8`) and (`7`,`6`) respectively in this frame, calculate the distance between A and D .
3442 vectors | geometry 9th Grade | 10th Grade vector_normExercise example :
Let(O,`vec(i)`,`vec(j)`) be a reference frame of the plane. Let D and H be two points of coordinates `(2,8)` and `(2,7)` respectively in this frame, compute the coordinates of the middle of the segment [DH].
3443 vectors | geometry 9th Grade | 10th GradeExercise example :
In a library open from Tuesday to Saturday inclusive, we counted, day by day, the number of books lent during a week and we obtained the results in the following table:
| Tuesday | 73 |
|---|---|
| Wednesday | 16 |
| Thursday | 4 |
| Friday | 73 |
| Saturday | 79 |
Exercise example :
After a test, the marks of 26 students have been grouped in the table below :
| grade n | `0<=n<4` | `4<=n<8` | `8<=n<12` | `12<=n<16` | `16<=n<=20` |
|---|---|---|---|---|---|
| Number of students | 4 | 5 | 7 | ? | 7 |
Exercise example :
Here are the ages of the employees of a company, give the frequency of employees who are between 25 and 29 years old.
| Age | 20-24 | 25-29 | 30-39 | 40-49 | 49-60 |
|---|---|---|---|---|---|
| Employees | 2 | 6 | 2 | 1 | 3 |
Exercise example :
Write in the form `sqrt(a)/b`, the following expression `1/sqrt(360)`, where a and b represent two integers.
14110 square roots | fractions | Numbers 9th Grade simplify_surdExercise example :
Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.
14111 square roots | functions 9th Grade simplify_surdExercise example :
Write C in the form `a*sqrt(b)` where a is a relative integer and b a natural number: C=`1*sqrt(8)-2*sqrt(18)-1*sqrt(32)-2*sqrt(2)`
14112 square roots | functions 9th Grade simplify_surdExercise example :
Let f be a function whose representation is given opposite. What is the image of -3 by f?
24121 linear functions and affine functions 9th Grade | 10th GradeExercise example :
Let f be a function whose representation is given opposite. What is the antecedent by f of -2 ?
24122 linear functions and affine functions 9th Grade | 10th GradeThemes associated with the 9th Grade : mathematics exams and competitions, algebraic calculus, literal computation, algebraic calculation and remarkable identities, equations of lines and linear systems, solving equations and inequations of the first degree, functions, linear functions and affine functions, geometry, mental math games, Numbers, integers and rational numbers, statistics, vectors.
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