This site offers many math exercises to review the main concepts of middle school. It uses the calculator to display a detailed correction.
Exercise example :
Use yellow numbers and blue arithmetic operators to calculate the target number.
Exercise example :
Compare the following numbers: 751 ... 956.
1111 relative numbers and plane reference system | Numbers 6th Grade | 7th GradeExercise example :
What is the missing sign in the expression: 15 ... 5=3.
1112 relative numbers and plane reference system | Numbers 6th Grade | 7th GradeExercise example :
What is the result of 10% of 80.
1113 proportionality | Numbers 6th Grade | 7th GradeExercise example :
What is the result of the following product: 836.912 * 0.001 ?
1114 integers and decimals | Numbers 6th GradeExercise example :
What is the result of the following operation 473+295 ?
1115 integers and decimals | Numbers 6th GradeExercise example :
Compute the quotient and remainder of the Euclidean division of 621 by 45.
1116 integers and decimals | Numbers 6th Grade euclidean_divisionExercise example :
Give the rounding to 2 decimal places of : 11.445631.
1117 integers and decimals | Numbers 6th Grade roundExercise example :
Point A is on the x-axis, its x-coordinate is 7. Place it correctly.
1118 integers and decimals | Numbers 6th GradeExercise example :
Convert to `cm`, 2 `dam`.
1122 measurement conversion 6th Grade | 7th Grade convertExercise example :
Express 0.97 as a percentage.
1124 proportionality | Numbers 6th Grade | 7th Grade percentageExercise example :
Express 24/25 as a percentage.
1125 proportionality | Numbers 6th Grade | 7th Grade percentageExercise example :
What is the result of `87*34+7027`.
1211 operations on integers and decimals | Numbers 7th Grade calculatorExercise example :
What is the result of `14+1040/80`.
1212 operations on integers and decimals | Numbers 7th Grade fractionExercise example :
What is the result of `3768/(91+66)`.
1213 operations on integers and decimals | Numbers 7th Grade fractionExercise example :
What is the result of `96/(32/4)`.
1214 operations on integers and decimals | Numbers 7th Grade fractionExercise example :
What is the result of 5 plus 4 plus 2.
1215 operations on integers and decimals | Numbers 7th GradeExercise example :
What is the result of the following fraction product: `(24/2)*(14/3)`.
1217 operations on integers and decimals | Numbers 7th Grade fractionExercise example :
Compare the following fractions `6/4`...`5/4`.
1219 fractions | Numbers 7th Grade compare_fractionsExercise example :
What is the result of `(6-4)+(9+6)+(3-10)`.
1223 operations on integers and decimals | Numbers 7th Grade calculatorExercise example :
What is the missing number in the following expression `27/?`=3.
1225 operations on integers and decimals | Numbers 7th GradeExercise example :
Is the following equality 4+x-5 = 2 true for x = 2?
1226 operations on integers and decimals | Numbers 7th GradeExercise example :
What is the result of `8+(-10)`?
1236 operations on integers and decimals | Numbers 7th Grade evaluateExercise example :
What is the missing number in the following expression: `2+...=-4`.
1237 operations on integers and decimals | Numbers | introduction to equation solving | equations 7th GradeExercise example :
What is the result of `10+6+4-6-7-5`.
1238 operations on integers and decimals | Numbers 7th Grade evaluateExercise example :
Expand the following expression `2*(8+x)`?
1239 algebraic calculus | literal computation | expansion of algebraic expressions 7th Grade expandExercise example :
Factor the following expression `12+4*x`.
1240 algebraic calculus | literal computation | expansion of algebraic expressions | factoring 7th Grade factorExercise example :
In a magic square, the sum of the numbers in each row, in each column and on each diagonal is the same.
Complete the following magic square:
Exercise example :
The perimeter of a circle is given by the formula `P=2*pi*r`, where r is the radius of the circle.
Give an approximate value to 2 decimal places of the perimeter of a circle of radius 7.
Exercise example :
The area of a disk is given by the formula `A=pi*r^2`, where r is the radius of the circle.
Give an approximate value to 2 decimal places of the area of a disk of radius 14.
Exercise example :
Expand the following expression `-10*(-12)`.
1311 decimal writing and operations on relative numbers | Numbers 8th Grade evaluateExercise example :
Put in the form `a*1/b` the following fraction `19/6`
1312 decimal writing and operations on relative numbers | Numbers | fractions 8th GradeExercise example :
Give a value approximating to 0.1 of the following fraction `19/6`.
1313 decimal writing and operations on relative numbers | Numbers 8th GradeExercise example :
Give a value approximated to `10^-1` of `sqrt(91)`.
1324 decimal writing and operations on relative numbers | Numbers 8th Grade sqrtExercise example :
Simplify the following expression `1+5*z+2*z^2+5+4*z+z^2+4+2*z+5*z^2`.
1325 expansion of algebraic expressions | algebraic calculus 8th Grade simplifyExercise example :
Expand the following expression `(-4*a-8*b)*(5*a+3*b)`.
1326 literal computation | algebraic calculus 7th Grade | 8th Grade expand_and_simplifyExercise example :
Compute the following expression `2+x+9+4*y` for x=4 ,y=6.
1327 literal computation | algebraic calculus 8th GradeExercise example :
Compare the following two expressions `90/10` ... `27/10`.
1328 comparisons of numbers, fractions, expressions | fractions | Numbers | algebraic calculus 8th Grade compare_fractionsExercise example :
Give a frame to the nearest `10^-1` of the following fraction `25/4`.
1329 comparisons of numbers, fractions, expressions | fractions | Numbers 8th GradeExercise example :
I have a number, I add 27 to it, I subtract 22 from the result and I get 43, what is this number?
1330 algebraic calculus | literal computation | Numbers 8th Grade equation_solverExercise example :
We suppose that `3*x-2<5`. Choose the expression that is true from the list below.
1335 comparisons of numbers, fractions, expressions | Numbers 8th Grade inequality_solverExercise example :
Solve the following equation: 4*y-4=6.
1336 solving equations | algebraic calculus | literal computation | equations 8th Grade equation_solverExercise example :
Solve the following equation: 2*x+3=5.
1337 solving equations | algebraic calculus | literal computation | equations 8th Grade equation_solverExercise example :
Solve the following equation: 4*z+3=6*z+8.
1338 solving equations | algebraic calculus | literal computation | equations 8th Grade equation_solverExercise example :
My quadruple is equal to 32. Who am I?
1339 solving equations | algebraic calculus | literal computation | equations 8th Grade equation_solverExercise example :
In a class of 10 students 70 % got the average on the last test. What is the number of students who did not get the average?
1340 solving equations | algebraic calculus | literal computation | equations 8th GradeExercise example :
In a class of 10 students, 4 got the average in the last math test. What percentage of students got the average?
1341 solving equations | algebraic calculus | literal computation | equations 8th Grade percentageExercise example :
In a class of 30 students there are 9 boys. What is the percentage of boys in this class?
1342 solving equations | algebraic calculus | literal computation | equations 8th Grade percentageExercise 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 :
In the triangle ABC rectangle in A, we give AB=20 and AC=15..
Calculate BC.
Exercise 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 :
Rounding to the nearest whole number 71.710931
11171 integers and decimals | Numbers 6th Grade roundExercise example :
Rounding to one digit after the decimal point 72.597345.
11172 integers and decimals | Numbers 6th Grade roundExercise example :
The area of a rectangle is given by the formula L*l where L is the length and l is the width. Calculate the area of a rectangle where L=9 and l=6.
11201 perimeters and areas | geometry 6th Grade | 7th Grade area_rectangleExercise example :
The area of a square is given by the formula l*l where l is the length of a side. Calculate the area of a square where l=9.
11202 perimeters and areas | geometry 6th Grade | 7th Grade area_squareExercise example :
The perimeter of a rectangle is given by the formula `2*(L+l)`, where L is the length and l the width.
Calculate the perimeter of a rectangle of length L=20 and width l=12.
Exercise example :
The perimeter of a square is given by the formula 4*l, where l is the length of a side. Calculate the perimeter of a square of length l=20.
11204 perimeters and areas | geometry 6th Grade | 7th Grade perimeter_squareExercise example :
What are the coordinates of the following point ?
11211 relative numbers and plane reference system | Numbers 6th Grade | 7th GradeExercise example :
The point A has coordinates (7;0). Place it correctly.
11212 relative numbers and plane reference system | Numbers 6th Grade | 7th GradeExercise 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 GradeList of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.