This site offers many math exercises to review the main concepts of middle school. It uses the calculator to display a detailed correction.

112 exercisesExercise example N°1110 :

Use yellow numbers and blue arithmetic operators to calculate the target number.

Target

mental math games Numbers 6th Grade 7th Grade 8th Grade 9th Grade arithmetic_solver

Countdown is an arithmetic exercise that allows you to practice quick mental calculation in an efficient way. The goal is to reconstruct an integer using other integers and basic arithmetic operations (+,-,*,/).

Exercise example N°1111 :

Compare the following numbers: 751 ... 956.

relative numbers and plane reference system Numbers 6th Grade 7th Grade

The purpose of this exercise is to compare two integers, using the appropriate comparison operator.

Exercise example N°1112 :

What is the missing sign in the expression: 15 ... 5=3.

relative numbers and plane reference system Numbers 6th Grade 7th Grade

The goal of this corrected exercise is to find the missing sign of an arithmetic expression, course reminders accompany this exercise.

Exercise example N°1113 :

What is the result of 10% of 80.

proportionality Numbers 6th Grade 7th Grade

The purpose of this math activity is to calculate the percentage of an integer.

Exercise example N°1114 :

What is the result of the following product: 836.912 * 0.001 ?

integers and decimals Numbers 6th Grade

The objective of this numerical activity is to multiply a decimal number by 10,100,1000 or 0.1,0.01, or 0.001.

Exercise example N°1115 :

What is the result of the following operation 473+295 ?

integers and decimals Numbers 6th Grade

The purpose of this exercise is to find the result of arithmetic operations (+, -, *, /) with integers.

Exercise example N°1116 :

Compute the quotient and remainder of the Euclidean division of 621 by 45.

integers and decimals Numbers 6th Grade euclidean_division

The purpose of this exercise on Euclidean division of two integers is to find the quotient and remainder.

Exercise example N°1117 :

Give the rounding to 2 decimal places of : 11.445631.

integers and decimals Numbers 6th Grade round

The purpose of this exercise is to round a decimal number to a given precision.

Exercise example N°1118 :

Point A is on the x-axis, its x-coordinate is 7. Place it correctly.

integers and decimals Numbers 6th Grade

This graphical exercise allows to learn how to locate in the plane, to succeed, you just have to place at the right place a point of given abscissa.

Exercise example N°1119 :

What is the missing number in the following expression : ...-5 = 4?

introduction to equation solving equations Numbers 6th Grade 7th Grade

The objective of this activity is to complete a "hole" operation, otherwise known as solving a simple equation.

Exercise example N°1122 :

Convert to `cm`, 2 `dam`.

measurement conversion 6th Grade 7th Grade convert

The purpose of this exercise is to practice making length or distance conversions in the usual units of measurement.

Exercise example N°1123 :

Convert to `m^2`, 5 `dam^2`.

measurement conversion 6th Grade 7th Grade

The purpose of this exercise is to practice making area or surface area conversions in the usual units of measurement.

Exercise example N°1124 :

Express 0.97 as a percentage.

proportionality Numbers 6th Grade 7th Grade percentage

This exercise corrected of calculation makes it possible to practise on line to transform a decimal number into percentage.

Exercise example N°1125 :

Express 24/25 as a percentage.

proportionality Numbers 6th Grade 7th Grade percentage

This corrected math exercise allows you to practice transforming a fraction into a percentage online.

Exercise example N°1129 :

Simplify the following fraction `7/14`.

fractions Numbers 6th Grade fraction

This activity on fractions allows to practice simplifying an integer fraction using the GCD.

Exercise example N°1130 :

By what value must the following expression `10/4=.../36` be completed for the equality to be verified?

fractions Numbers 6th Grade

This corrected exercise on fractions aims to complete a fractional expression so that an equality is verified.

Exercise example N°1131 :

Write in the form of a fraction or a whole number the following expression: `1/4*14`.

fractions Numbers 6th Grade fraction

The purpose of this corrected fraction exercise is to simplify a fractional expression.

Exercise example N°1132 :

Give an approximate value to one decimal place of the following expression: `10/17*19`

fractions Numbers 6th Grade

The purpose of this exercise is to give an approximate value to one decimal place of an algebraic.

Exercise example N°1211 :

What is the result of `87*34+7027`.

operations on integers and decimals Numbers 7th Grade calculator

The goal of this whole number math exercise is to practice multiplying and adding them.

Exercise example N°1212 :

What is the result of `14+1040/80`.

operations on integers and decimals Numbers 7th Grade fraction

The objective of this corrected calculus exercise is to add a fraction with a whole number.

Exercise example N°1213 :

What is the result of `3768/(91+66)`.

operations on integers and decimals Numbers 7th Grade fraction

The objective of this corrected math exercise is to simplify a fraction after calculating its denominator.

Exercise example N°1214 :

What is the result of `96/(32/4)`.

operations on integers and decimals Numbers 7th Grade fraction

The objective of this math exercise is to simplify a fraction that has a fraction as the denominator.

Exercise example N°1215 :

What is the result of 5 plus 4 plus 2.

operations on integers and decimals Numbers 7th Grade

The objective of this corrected math exercise is to calculate a written expression in natural language.

Exercise example N°1217 :

What is the result of the following fraction product: `(24/2)*(14/3)`.

operations on integers and decimals Numbers 7th Grade fraction

This exercise allows you to apply the techniques of simplification of fractions to calculate the product of two fractions.

Exercise example N°1219 :

Compare the following fractions `6/4`...`5/4`.

fractions Numbers 7th Grade compare_fractions

The purpose of this exercise is to compare two fractions, choosing the appropriate comparison operator from the list provided.

Exercise example N°1220 :

Perform the following calculation `3/5*4/6`.

fractions Numbers 7th Grade fraction

This corrected exercise aims to practice addition, subtraction or multiplication of 2 fractions.

Exercise example N°1223 :

What is the result of `(6-4)+(9+6)+(3-10)`.

operations on integers and decimals Numbers 7th Grade calculator

The purpose of this exercise is to calculate an arithmetic expression composed of addition and subtraction, taking into account the priorities of the operations.

Exercise example N°1225 :

What is the missing number in the following expression `27/?`=3.

operations on integers and decimals Numbers 7th Grade

The purpose of this corrected math exercise is to find the denominator of a fraction from an equality.

Exercise example N°1226 :

Is the following equality 4+x-5 = 2 true for x = 2?

operations on integers and decimals Numbers 7th Grade

The purpose of this exercise is to verify an equality, the goal being to learn about equation solving.

Exercise example N°1236 :

What is the result of `8+(-10)`?

operations on integers and decimals Numbers 7th Grade evaluate

The purpose of this number math exercise is to practice adding relative numbers.

Exercise example N°1237 :

What is the missing number in the following expression: `2+...=-4`.

operations on integers and decimals Numbers introduction to equation solving equations 7th Grade

The purpose of this corrected math exercise is to complete an equality that involves relative numbers.

Exercise example N°1238 :

What is the result of `10+6+4-6-7-5`.

operations on integers and decimals Numbers 7th Grade evaluate

The purpose of this math exercise is to string together a series of additions and subtractions of relative numbers.

Exercise example N°1239 :

Expand the following expression `2*(8+x)`?

algebraic calculus literal computation expansion of algebraic expressions 7th Grade expand

This exercise allows to practice developing an algebraic expression by using different techniques of algebraic calculation.

Exercise example N°1240 :

Factor the following expression `12+4*x`.

algebraic calculus literal computation expansion of algebraic expressions factoring 7th Grade factor

This exercise allows to practice factoring an algebraic expression by using different techniques of algebraic calculation.

Exercise example N°1241 :

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:

relative numbers and plane reference system Numbers introduction to equation solving 6th Grade 7th Grade

The purpose of this exercise is to learn about solving equations using magic squares.

Exercise example N°1242 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_circle

The purpose of this exercise is to calculate the perimeter of a circle knowing its radius.

Exercise example N°1245 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_circle

The purpose of this corrected exercise is to practice calculating the area of a disk.

Exercise example N°1311 :

Expand the following expression `-10*(-12)`.

decimal writing and operations on relative numbers Numbers 8th Grade evaluate

The objective of this algebraic calculus exercise is to expand an algebraic expression.

Exercise example N°1312 :

Put in the form `a*1/b` the following fraction `19/6`

decimal writing and operations on relative numbers Numbers fractions 8th Grade

The objective of this exercise is to put the product of a number by the inverse of another number in fraction form.

Exercise example N°1313 :

Give a value approximating to 0.1 of the following fraction `19/6`.

decimal writing and operations on relative numbers Numbers 8th Grade

This exercise allows to practice calculations with decimals, the goal is to give the approximate value of a fraction to one decimal place.

Exercise example N°1314 :

Simplify the following fraction `(3*3)/(8*3)`.

decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction

The objective of this activity is to simplify a fraction whose numerator and denominator are composed of products of whole numbers.

Exercise example N°1315 :

Put in the form of an irreducible fraction: `-5*8/(9*6)`.

decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction

This exercise allows to learn how to simplify a fraction whose numerator and denominator are composed of product of relative numbers.

Exercise example N°1316 :

Put in the form of an irreducible fraction: `((2)/(-4))/((6)/(9))`.

decimal writing and operations on relative numbers Numbers fractions 8th Grade fraction

The objective of this exercise is to simplify a fraction whose numerator and denominator are fractions, in other words, a fraction of fractions.

Exercise example N°1317 :

Write the following product as a power of 10: `10^(-10)*10^(-3)`.

power Numbers 8th Grade

The objective of this numerical computation exercise is to write in the form of a power of 10 a product of numbers.

Exercise example N°1318 :

Write the following product as a power of 10: `(10^(-6))^(-9)`.

power Numbers 8th Grade

The purpose of this exercise is to practice finding the writing in the form of a power of 10, of a number raised to a power.

Exercise example N°1319 :

Write using scientific notation the following number: `-0.7539046`.

power Numbers 8th Grade

The purpose of this corrected math exercise is to write a number with scientific notation.

Exercise example N°1321 :

Write in the form of a single power the following expression: `20^(-3)*20^(6)`.

power Numbers 8th Grade

This exercise allows to practice putting a product of numbers in the form of a power.

Exercise example N°1322 :

With what value must the question mark be replaced for the following equality to be true? `94^(-3)*94^(?)`=`94^(-8)`

power Numbers 8th Grade

The purpose of this math exercise is to complete an equality that involves powers.

Exercise example N°1324 :

Give a value approximated to `10^-1` of `sqrt(91)`.

decimal writing and operations on relative numbers Numbers 8th Grade sqrt

The objective of this exercise is to give an approximate value of a square root to one decimal place.

Exercise example N°1325 :

Simplify the following expression `1+5*z+2*z^2+5+4*z+z^2+4+2*z+5*z^2`.

expansion of algebraic expressions algebraic calculus 8th Grade simplify

This exercise allows you to practice the techniques of simplifying algebraic expressions that contain a single letter.

Exercise example N°1326 :

Expand the following expression `(-4*a-8*b)*(5*a+3*b)`.

literal computation algebraic calculus 7th Grade 8th Grade expand_and_simplify

The objective of this algebraic calculus exercise is to expand an algebraic expression.

Exercise example N°1327 :

Compute the following expression `2+x+9+4*y` for x=4 ,y=6.

literal computation algebraic calculus 8th Grade

The objective of this exercise is to calculate an algebraic expression by replacing letters with a given value.

Exercise example N°1328 :

Compare the following two expressions `90/10` ... `27/10`.

comparisons of numbers, fractions, expressions fractions Numbers algebraic calculus 8th Grade compare_fractions

The objective of this solved exercise is to compare two fractions using the correct operator.

Exercise example N°1329 :

Give a frame to the nearest `10^-1` of the following fraction `25/4`.

comparisons of numbers, fractions, expressions fractions Numbers 8th Grade

The objective of this math exercise is to frame a fraction using two decimal numbers.

Exercise example N°1330 :

I have a number, I add 27 to it, I subtract 22 from the result and I get 43, what is this number?

algebraic calculus literal computation Numbers 8th Grade equation_solver

The objective of this math exercise is to equate a simple problem to solve it.

Exercise example N°1331 :

Does the following table correspond to a proportionality table?

6 | 4 | 3 |
---|---|---|

60 | 41 | 32 |

proportionality Numbers 6th Grade 7th Grade 8th Grade

The purpose of this exercise on proportionality is to check that a table is indeed a proportionality table.

Exercise example N°1332 :

What is the coefficient of proportionality that allows us to go from the first to the second line of the following table?

9 | 7 | 1 |
---|---|---|

54 | 42 | 6 |

proportionality Numbers 6th Grade 7th Grade 8th Grade

The purpose of this corrected calculus exercise is to find the coefficient of a proportionality table.

Exercise example N°1333 :

By what value must we replace the ? so that the following table is a proportionality table?

7 | 3 | 4 | 8 |
---|---|---|---|

28 | ? | 16 | 32 |

proportionality Numbers 6th Grade 7th Grade 8th Grade

The purpose of this exercise is to find the missing value of a proportionality table.

Exercise example N°1334 :

What is the missing value in the following proportionality table?

x | 80 |
---|---|

294 | 560 |

proportionality Numbers 6th Grade 7th Grade 8th Grade

The purpose of this exercise is to complete using the cross product, a simple table so that it is a proportionality table.

Exercise example N°1335 :

We suppose that `3*x-2<5`. Choose the expression that is true from the list below.

comparisons of numbers, fractions, expressions Numbers 8th Grade inequality_solver

The goal of this math exercise is to solve a first degree inequation with one unknown.

Exercise example N°1336 :

Solve the following equation: 4*y-4=6.

solving equations algebraic calculus literal computation equations 8th Grade equation_solver

The purpose of this exercise is to solve a linear equation of the first degree with one unknown of the form ax+b=c.

Exercise example N°1337 :

Solve the following equation: 2*x+3=5.

solving equations algebraic calculus literal computation equations 8th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with one unknown of the first degree of the form x+b=c.

Exercise example N°1338 :

Solve the following equation: 4*z+3=6*z+8.

solving equations algebraic calculus literal computation equations 8th Grade equation_solver

The purpose of this corrected exercise is to solve an equation with one unknown of the first degree of the form ax+b=cx+d.

Exercise example N°1339 :

My quadruple is equal to 32. Who am I?

solving equations algebraic calculus literal computation equations 8th Grade equation_solver

The purpose of this corrected math exercise is to solve an equation written in natural language.

Exercise example N°1340 :

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?

solving equations algebraic calculus literal computation equations 8th Grade

The purpose of this exercise is to solve a numerical problem by calculating the percentage of a whole number.

Exercise example N°1341 :

In a class of 10 students, 4 got the average in the last math test. What percentage of students got the average?

solving equations algebraic calculus literal computation equations 8th Grade percentage

The purpose of this math exercise is to calculate a percentage from two numbers.

Exercise example N°1342 :

In a class of 30 students there are 9 boys. What is the percentage of boys in this class?

solving equations algebraic calculus literal computation equations 8th Grade percentage

The purpose of this math exercise is to determine a percentage from two given integers.

Exercise example N°1412 :

Using the appropriate special expansion develop the following expression `(8*a+5*b)*(8*a-5*b)`.

algebraic calculation and remarkable identities algebraic calculus 9th Grade expand

The purpose of this exercise is to develop an algebraic expression using the most suitable remarkable identity.

Exercise example N°1413 :

Using the appropriate remarkable identity calculate the following expression `999^2`.

algebraic calculation and remarkable identities algebraic calculus 9th Grade expand

The purpose of this exercise is to calculate the square of a number using a remarkable identity.

Exercise example N°1414 :

Calculate the following expression `sqrt(939)^2`.

functions square roots 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify the square root of an integer.

Exercise example N°1415 :

Find x such that `x^2`=9.

square roots solving equations equations functions 9th Grade equation_solver

The purpose of this corrected math exercise is to solve an equation of the form `x^2=a`.

Exercise example N°1416 :

Put under the same radical the following expression `sqrt(35)*sqrt(31)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a product of square roots.

Exercise example N°1417 :

Put under the same radical the following expression `sqrt(16)/sqrt(25)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a quotient of square roots.

Exercise example N°1418 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.

square roots order, absolute value, inequations numbers and equations functions 9th Grade 10th Grade simplify_surd

The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example N°1419 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to write a quotient of square roots in a simplified form.

Exercise example N°1422 :

For what value of x, is the following expression `7*x+6">-"6` true?

solving equations and inequations of the first degree 9th Grade inequality_solver

The objective of this corrected math exercise is to solve a first order inequation.

Exercise example N°1423 :

Solve the following system:

`-x-2*y = 3`

`3*x = -2`

solving equations and inequations of the first degree equations of lines and linear systems equations 9th Grade 10th Grade solve_equations

The objective of this corrected math exercise is to solve a system of two equations with two unknowns.

Exercise example N°1427 :

Calculate the gcd of 225 and 84.

integers and rational numbers Numbers 9th Grade gcd

The objective of this corrected arithmetic exercise is to calculate the gcd of two integers.

Exercise example N°1428 :

Are the following numbers 205 and 318 prime to each other ?

integers and rational numbers Numbers 9th Grade gcd

The objective of this exercise is to use the GCD to check if two integers are prime to each other.

Exercise example N°1429 :

Put the following fraction in its irreducible form: `144/210`.

fractions Numbers integers and rational numbers 9th Grade fraction

The purpose of this exercise is to put a fraction into its irreducible form.

Exercise example N°1430 :

Factor the following expression `x^2-20*x`.

algebraic calculation and remarkable identities numbers and equations factoring algebraic calculus 9th Grade 10th Grade factor

The purpose of this corrected algebraic calculus exercise is to factor an algebraic expression that involves squares.

Exercise example N°1431 :

Factor the following expression `9*x^2-49`.

algebraic calculation and remarkable identities numbers and equations factoring algebraic calculus 9th Grade 10th Grade factor

The purpose of this exercise is to factor an algebraic expression using a remarkable identity of the form a² - b².

Exercise example N°1434 :

Write D as an irreducible fraction: D = `((9/6+5/7)*2)/8`

fractions Numbers 9th Grade fraction

The objective of this corrected calculus exercise is to simplify an expression containing fractions.

Exercise example N°1435 :

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).

integers and rational numbers Numbers functions 9th Grade array_values

The purpose of this corrected math exercise is to calculate the value of a function for a given number.

Exercise example N°1436 :

- Let `A=3/8+10/6-8/4` , `B=-8*sqrt(24)-4*sqrt(216)-5*sqrt(54)-1*sqrt(54)` and `C=(18*10^5*3*10^6)/(6*10^11)`
- Compute A and give the result as an irreducible fraction.
- Write B in the form `a*(sqrt(6))` where a is a relative integer.
- Write C as an integer.

mathematics exams and competitions fractions Numbers square roots 9th Grade fraction

The objective of this exercise is to reduce a fraction, simplify a square root, and calculate a fraction that contains powers.

Exercise example N°1437 :

- Compute the GCD of the numbers 5104 and 968.
- Write the fraction `5104/968` in irreducible form.

mathematics exams and competitions fractions Numbers integers and rational numbers 9th Grade fraction

The objective of this exercise is to calculate the gcd of two numbers and simplify a fraction.

Exercise example N°1438 :

- Consider the expression `E=(8*x+4)^2-(8*x+4)*(7*x-5)`.
- Expand and reduce E.
- Factor E.
- Solve the equation `(9+x)*(4+8*x)=0`.

mathematics exams and competitions expansion of algebraic expressions solving equations and inequations of the first degree factoring equations 9th Grade 10th Grade expand_and_simplify

The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example N°1439 :

- Consider the expression `E=(2*x+10)^2-(2*x+10)*(5*x-4)`.
- Expand and reduce E.
- Factor E.
- Solve the equation `(14-3*x)*(10+2*x)=0`.

mathematics exams and competitions expansion of algebraic expressions solving equations and inequations of the first degree factoring equations 9th Grade 10th Grade expand_and_simplify

The purpose of this exercise is to practice factoring, expanding, simplifying algebraic expression and solving equation.

Exercise example N°1440 :

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?

mathematics exams and competitions solving equations and inequations of the first degree equations 9th Grade equation_solver

The objective of this exercise is to equate a problem in order to solve it.

Exercise example N°1441 :

- Solve the system

`2*x+2*y=30`

`3*x+10*y=101` To organize photos a store offers two types of storage albums or boxes : Tom buys 2 boxes and 2 albums and pays 30. Victoria buys 3 boxes and 10 albums and pays 101. - What is the price of a box?
- What is the price of an album?

mathematics exams and competitions equations of lines and linear systems equations 9th Grade solve_equations

The purpose of this exercise is to use a system of two equations with two unknowns to solve a problem.

Exercise example N°2411 :

Determine the equation of the linear function whose graphical representation passes through the point D of coordinates (`3/5`,`2`).

linear functions and affine functions equations of lines and linear systems equations 9th Grade equation_straight_line

The purpose of this exercise is to find the equation of a line representing a linear function that passes through a given point.

Exercise example N°2413 :

Determine the reduced equation of the line passing through the points A(3;5 )and B(2;4).

linear functions and affine functions equations of lines and linear systems equations 9th Grade 10th Grade equation_straight_line

The purpose of this exercise is to find the equation of a line from two points.

Exercise example N°3300 :

In the triangle ABC rectangle in A, we give AB=20 and AC=15..

Calculate BC.

right-angled triangles geometry 8th Grade pythagorean

The purpose of this exercise is to calculate the hypotenuse of a right triangle using the Pythagorean theorem.

Exercise example N°3441 :

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)`.

vectors geometry 9th Grade 10th Grade vector_coordinates

The purpose of this corrected exercise is to calculate the coordinates of a vector from the coordinates of two points.

Exercise example N°3442 :

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 .

vectors geometry 9th Grade 10th Grade vector_norm

The purpose of this corrected exercise is to calculate the distance between two points from their coordinates.

Exercise example N°3443 :

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].

vectors geometry 9th Grade 10th Grade

The purpose of this corrected analytical geometry exercise is to calculate the coordinates of the midpoint of a segment from coordinates.

Exercise example N°4401 :

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 |

2. Calculate the average number of books loaned, per day, during this five-day week.

statistics 9th Grade 10th Grade average

The purpose of this corrected statistics exercise is to practice calculating an arithmetic mean.

Exercise example N°4402 :

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 |

1. What is the number of students having obtained a mark between 12 and 16 (excluding 16).

2. How many students got less than 12?

statistics 9th Grade 10th Grade

The purpose of this corrected statistics exercise is to practice calculating the frequency of a series.

Exercise example N°4403 :

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 |

statistics 9th Grade 10th Grade

The purpose of this corrected statistics exercise is to determine from a table the frequency of a series.

Exercise example N°11171 :

Rounding to the nearest whole number 71.710931

integers and decimals Numbers 6th Grade round

This exercise allows you to practice rounding a decimal number to the nearest whole number.

Exercise example N°11172 :

Rounding to one digit after the decimal point 72.597345.

integers and decimals Numbers 6th Grade round

To pass this problem on rounding, you just have to round correctly a decimal number to one digit after the decimal point.

Exercise example N°11201 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_rectangle

The purpose of this corrected exercise is to practice calculating the area of a rectangle.

Exercise example N°11202 :

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.

perimeters and areas geometry 6th Grade 7th Grade area_square

The purpose of this corrected exercise is to practice calculating the area of a square.

Exercise example N°11203 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_rectangle

The objective of this exercise is to calculate the perimeter of a rectangle knowing its length and width.

Exercise example N°11204 :

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.

perimeters and areas geometry 6th Grade 7th Grade perimeter_square

The objective of this corrected exercise is training in calculating the perimeter of a square knowing the length of a side.

Exercise example N°11211 :

What are the coordinates of the following point ?

relative numbers and plane reference system Numbers 6th Grade 7th Grade

This graphical reading activity consists in reading correctly the coordinates of a point placed in a reference frame.

Exercise example N°11212 :

The point A has coordinates (7;0). Place it correctly.

relative numbers and plane reference system Numbers 6th Grade 7th Grade

To do this exercise of location in the plane, you must place a point in a reference frame from its abscissa and its ordinate.

Exercise example N°14110 :

Write in the form `sqrt(a)/b`, the following expression `1/sqrt(360)`, where a and b represent two integers.

square roots fractions Numbers 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a square root.

Exercise example N°14111 :

Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.

square roots functions 9th Grade simplify_surd

The objective of this exercise is to write an expression composed of the sum of an integer and a square root.

Exercise example N°14112 :

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)`

square roots functions 9th Grade simplify_surd

The objective of this exercise is to simplify an expression composed of several square roots.

Exercise example N°24121 :

Let f be a function whose representation is given opposite. What is the image of -3 by f?

linear functions and affine functions 9th Grade 10th Grade

The purpose of this exercise is to read on a graph the image of a number by a function.

Exercise example N°24122 :

Let f be a function whose representation is given opposite. What is the antecedent by f of -2 ?

linear functions and affine functions 9th Grade 10th Grade

The purpose of this exercise is to read on a graph the antecedent by a function of a number.