1549 results for "form".
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Calculating the integral of a function of the form $a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of integrals.
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Question in Skills Audits for Maths and Stats
Calculating the derivative of a function of the form $a \ln(bx)$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Find the derivative of a function of the form $y=ax^b$ using a table of derivatives.
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Question in Skills Audits for Maths and Stats
Finding $x$ from a logarithmic equation of the form $\log_ax = b$, where $a$ and $b$ are positive integers.
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Question in Skills Audits for Maths and Stats
Finding the inverse of a function of the form $f(x)=\frac{mx+c}{x+a},\,x\neq-a$.
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Question in Skills Audits for Maths and Stats
Determining the range of a function of the form $f = m|x| + a$.
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Question in Skills Audits for Maths and Stats
Solving an equation of the form $a^x=b$ using logarithms to find $x$.
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Question in Skills Audits for Maths and Stats
Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.
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Question in Skills Audits for Maths and Stats
Factorising a quadratic expression of the form $a^2x^2-b^2$ to $(ax+b)(ax-b)$, using the difference of two squares formula.
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Question in Skills Audits for Maths and Stats
Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.
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Question in Skills Audits for Maths and Stats
Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Question in Skills Audits for Maths and Stats
Rearrange a specific formula. No randomisation.
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Question in Skills Audits for Maths and Stats
Solving a pair of simultaneous equations of the form $a_1x+y=c_1$ and $a_2x^2+b_2xy=c_2$ by forming a quadratic equation.
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Question in Skills Audits for Maths and Stats
perform a calculation involving negative indices.
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Question in Ugur's workspace
moment of inertia - cylinder
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Exam (5 questions) in J45X 34 Statistics for Business
No description given
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Question in MESH
NC NA Non-calculator and Number and Algebra strand. This number assesses students' ability to add and subtract very simple fractions. Students need two add two fractions (possibly mixed numbers) involving quarters and/or halves, then subtract their answer from a whole number. The answer must be entered in simplest form and will always be less than one.
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Question in MESH
The dimensions of a rectangle are given in m and cm. Compute the area or perimeter.
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Exam (1 question) in Jane's workspace
No description given
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Question in Jane's workspace
No description given
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Question in Engineering Statics
Find the reactions for a beam with a uniformly varying distributed load.
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Question in How-tos
A mathematical expression part with a pattern restriction to ensure that the student has extracted the highest common factor of two terms.
The answer must be of the form $a(b+cx)$, where $b$ and $c$ are coprime.
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Question in How-tos
The student is asked to give the roots of a quadratic equation. They should be able to enter the numbers in any order, and each correct number should earn a mark.
When there's only one root, the student can only fill in one of the answer fields.
This is implemented with a gap-fill with two number entry gaps. The gaps have a custom marking algorithm to allow an empty answer. The gap-fill considers the student's two answers as a set, and compares with the set of correct answers.
The marking corresponds to this table:
There is one root There are two roots Student gives one correct root 100% 50%, "The root you gave is correct, but there is another one." Student gives two correct roots impossible 100% Student gives one incorrect root 0% 0% Student gives one incorrect, one correct root 50% "One of the numbers you gave is not a root". 50% "One of the numbers you gave is not a root". Student gives two incorrect roots 0% 0% -
Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
The table uses the spreadsheet extension.
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Question in How-tos
The student is given a quadratic formula and asked to fill in a table of values of $f(x)$ for a given range of $x$.
There is also a plot of the points, which updates when the table is filled in, or the student can move the points to fill in the table.
The table uses the spreadsheet and JSXgraph extensions.
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Question in HELM books
Student is shown a simple (randomised) function and asked to describe its behaviour. This is an information only question. Students need to view the advice to check their answer.
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Exam (19 questions) in HELM books
HELM Book 1.5 Formulae and substitution exercises.
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Question in HELM books
A difficult question that involves rearranging a complicated formula, then applying unit conversions to variable values, then evaluating the formula for the selected value. The variable values are randomised.