Examples of mathematical exercise templates with dynamic parameters

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Numerical calculus

What is the value of: a+b?
Constraints: a and b are integers
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What is the value of: a+b?
Constraints: a and b are decimals with two decimal places
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Complete: a+b-c=
Constraints: a, b and c are decimals with two decimal places, a + b is multiple of 10
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Complete: a+b+c=
Constraints: a, b and c are decimals with one decimal place, a + b is multiple of 10 or a + c is multiple of 10
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a--b is equal to: - a+b a - b a + b
Constraints: a and b are decimals with one decimal place
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What is the value of: a * b ?
b * a a * b (calculated) a + b (calculated) a - b (calculated)
Constraints: a different from b, a and different from 0
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What is the value of: a * ( b + c )?
a * b (calculated) + a * c (calculated) a * b (calculated) + c a * b+ a * c (calculated)
Constraints: a different from b, a different from c, b different from c
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What is the value of a*b+c? Propositions in list: a*b+c, a*b+c, a*b+a*b*c
Constraints: a, b, c integers, a different from 0
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What is the value of a-b*c? Propositions in list: b*c-a, a-b*c, a-b*c
Constraints: a, b, c integers, a, b, c different from 0
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Find the number x whose square is given: x2=a
Constraint: a is a square between 1 and 100
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a+b2 is equal to: a 2 (calculated) + b 2 (calculated) a+b2 (calculated)
a 2 + b 2 (calculated) a 2 (calculated) + b 2 (calculated) + 2*a*b (calculated)
Constraints: a, b integers, a different from b
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ab of c is equal to: - a*c b*c a * cb - a * cb
Constraints: c < 0, a < b, a*c multiple of b, a prime with b
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Calculate the mean of the numbers: ... Mean =
Constraints: the numbers are n integers between 1 and 20, n itself between 4 and 10, n different from 6, 7, 9
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Algebraic calculus

Develop and reduce the expression: a x + k ( b x + c y) = x + y
Constraint: b different from c
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Solve the equation: a*x+b=0. The solution is: x =
Constraints: a and b integers ; b multiple of a
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Solve the equation: a*x+b=c*x+d. The solution is: x =
Constraints: a different from c, b different from d, (d-b) / (a-c) integer
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Resolve the following system: a*x+b*y=c and d*x+e*y=f
x = y =
Constraints: a, b, c, d, e and f different from 0, ae-bd different from 0, ce-bf multiple of ae-bd, af-cd multiple of ae-bd
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Develop and reduce the expression: a x * ( b* x + c ) = x2 + x
Constraint: a, b, c different from 0
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Develop and reduce the expression: a*x+b2 = x2 + x +
Constraint: a and b integers, a and b different from 0
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Solve the equation: a*x2+b*x+c=0. The solutions are x1 = and x2 =
Constraints: a, b, c integers ; a different from 0, b2-4*a*c is a square ; solutions are integers
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xaxb=xn - What is the value of n? n =
Constraints: a and b integers ; a greater than b
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Calculus on square roots

Calculate: a=
Constraints: a is a square between 1 and 225
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Calculate: √=a
Constraints: a is an integer between 1 and 15
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Calculate: a*b =
Constraints: a, b are integers, a and b are not square, a*b is a square
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Calculate: ab =
Constraints: a, b are integers, a and b are square
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Calculate: a*b =
Constraints: a, b are integers or decimals, a and b are square
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Calculate: a*b*b =
Constraints: a, b are integers
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Calculate: ab =
Constraints: a, b are integers or decimals, a and b are square
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Compute the expression: a*b+c *d =
Constraints: a, b, c, d integers between 2 and 30, b*d and c*d are square
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Calculate: m*an*b =
Constraints: a, b, m, n are integers, a/b is a square, the result is an integer
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Complete: a=*c
Constraints: a is an integer, a = b2*c, c is not a square
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Complete: a=b*
Constraints: a is an integer, a = b2*c, c is not a square
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Complete: a=*√
Constraints: a is an integer, a = b2*c, c is not a square
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Complete: a*b=*√
Constraints: a and b are integers, a*b = c2*d, d is not a square
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Complete: a*b*c*d=*√
Constraints: a, b, c and d are integers, b*d = e2*f, f is not a square
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Complete: a*b-c*b= - *b
Constraints: a, b and c integers
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Complete: a-b*c=*√
Constraints: a, b and c integers, c= d2*a
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Develop and reduce the following product:
a+c*b*d*a+b= + *
Constraints: a different from 4, b different from 4, a prime with b
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Develop and reduce the expression: a*b+ c*d2 = +
Constraints: a, b, c and d integers
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Complete the expression: (m*a+*b)*c=d
Constraints: a*c is a square, b*c is a square
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Complete the following equality: a*(+c)=b*+
Constraints: a different from 4 and 9, c different from 4 and 9, a*c is a square
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Geometry

ABC is an equilateral triangle. If AB = AC = BC = a cm, what is the value of the altitude AD?
AD =
Constraint: a is multiple of 2
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ABC is a triangle where AB = AC = BC. Which properties are true?
AD is the perpendicular bisector of BC AD is angle bisector of A The length of AD is 2*AB/3 AD is a median of the triangle ABC
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ABC is a right triangle. If AC = a cm and CB = b cm, what is the value of AB? AB = cm.
Constraints: a and b are integers between 1 and 100, so that a2 + b2 is a square
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ABC is a right triangle. CD is orthogonal to AB. About CD, which property is true ? CD is an altitude of the triangle CD is the perpendicular bisector of AB CD is angle bisector of C CD is a median of the triangle Complete download (save with right button with Firefox/Mozilla) Execution
D is the center of the incercle of the triangle ABC. If angle CBD = x° and angle BCD = y° , what is the mesure of angle BAC? angle BAC= °
Constraints: x between 30 and 45, y between 6 and 34, x>y, 2x+2y<160
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In a triangle ABC, G is a point on the line segment BA, H is a point on the line segment AC. IF BG=x cm , BA=y cm et GH=z cm, what is the length of AC? AC =cm
Constraints: y4<x<y2, z<y2 et yz multiple of x
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