Here is the list of free online exercises of mathematics 10th Grade, sophmore year, year 11. Each corrected exercise is accompanied by indications, reminders of course, methodological advice which allows you to practice independently.
Exercise 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 9th Grade | 10th Grade simplify_surdExercise 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 :
Factor the following expression `x^2-20*x`.
1430 algebraic calculation and remarkable identities | numbers and equations | factoring 9th Grade | 10th Grade factorExercise example :
Factor the following expression `9*x^2-49`.
1431 algebraic calculation and remarkable identities | numbers and equations | factoring 9th Grade | 10th Grade factorExercise example :
Exercise example :
Exercise example :
Solve the following equation: `x/2-3=0`.
1501 solving equations | equations 10th Grade equation_solverExercise example :
Solve the following equation: `z^2+1-2*z=0`.
1502 solving equations | equations 10th Grade equation_solverExercise example :
Solve the following equation: `y^2-16=0`.
1503 solving equations | equations 10th Grade equation_solverExercise example :
Solve the following equation: `z^2+1-2*z=0`.
1504 solving equations | equations 10th Grade equation_solverExercise example :
Specify if the function `f:x->7-3*x^2` is even, odd, neither even nor odd.
1505 square and inverse functions 10th Grade is_odd_or_even_functionExercise example :
With the help of the graphical representation of the function shown below in an orthogonal reference, indicate if the function is even, odd, neither even nor odd.
1506 square and inverse functions 10th Grade is_odd_or_even_functionExercise example :
To which type of curve corresponds the following plot ?
1507 square and inverse functions 10th GradeExercise example :
The representative curve of the function f is given below. Find graphically one or more integer values of x on the interval [-5,5[ which verify the equation f(x)=1. You can use the red cursor to read the coordinates of the points.
1508 solving equations | square and inverse functions | equations 10th Grade equation_solverExercise example :
The angles are expressed in radians. Give the exact value of the following expression `pi/3`
1510 sine and cosine functions 10th Grade simplify_trigExercise example :
Calculate the absolute value of `C=8+9`.
1511 order, absolute value, inequations 10th Grade absExercise example :
Calculate the absolute value of `F=2/3-3/7`.
1512 order, absolute value, inequations 10th Grade absExercise example :
Solve the following equation `|x-4|=2`.
1513 order, absolute value, inequations | equations 10th Grade equation_solverExercise example :
Solve the following equation `|x+9/2|=9/4`.
1514 order, absolute value, inequations | equations 10th Grade equation_solverExercise example :
Indicate by which number the "question mark" must be replaced in the prime decomposition of 60 so that the following equality is verified.
60 = 3*5*?*?
Exercise example :
Give the decomposition of 854 into a product of prime numbers by ordering the factors and using the power operator ^ if necessary.
1516 order, absolute value, inequations 10th Grade prime_factorizationExercise example :
51 is an integer, is it prime ?
1517 order, absolute value, inequations 10th Grade prime_factorizationExercise example :
Give the product decomposition of the following expression 30*16 by ordering the factors and using the power operator ^ if necessary.
1518 order, absolute value, inequations 10th Grade prime_factorizationExercise example :
Write in the form of an irreducible fraction the following fraction `(40*28)/(35*24)` using the decomposition into prime factors.
1520 fractions | integers and rational numbers 10th Grade fractionExercise example :
Find the ordinate of the direction vector of the line whose equation is `y=-7/10*x+6` which has abscissa 1
1524 vectors | equations | equations of lines and linear systems 10th Grade fractionExercise example :
Put into irreducible fraction form: `((-9)/(20))/((-36)/(-15))`.
1539 fractions 10th Grade fractionExercise example :
Put into irreducible fraction form: `((-9)/(20))/((-36)/(-15))`.
1541 fractions 10th Grade fractionExercise 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 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 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 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 :
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 10th Grade : algebraic calculus, equations of lines and linear systems, linear functions and affine functions, square and inverse functions, sine and cosine functions, numbers and equations, order | absolute value | inequations, second degree polynomials, solving equations, statistics, vectors.
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