Search - Numbas at mathcentre.ac.uk

34 results.

Graphing: circles - completing the square
Ready to use
Question in Graphing and Polynomials by Ben Brawn

Completing the square twice to determine the radius and centre of a circle.
Solving a perfect square by factorising
Ready to use
Question in Algebra by Ben Brawn

No description given
Solving a quadratic by completing the square
Ready to use
Question in Algebra by Ben Brawn

No description given
NG5 Multiply Fractions
Ready to use
Question in Skills Audits for Maths and Stats by Oliver Spenceley and 4 others

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem.
AD3 Completing the square
Ready to use
Question in Skills Audits for Maths and Stats by Andrew Neate and 2 others

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$ .
Factorising a perfect square
Ready to use
Question in Algebra by Ben Brawn

No description given
Completing the square
Ready to use
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Expanding Two Brackets
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Factorising a Quadratic Function
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Solution of quadratic by c.t.s.
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Difference of squares
Draft
Question in DIAGNOSYS by Christian Lawson-Perfect and 3 others

No description given
Identifying different types of sequences
Should not be used
Question in Transition to university by Hannah Aldous and 1 other

Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.
Integration by partial fractions
Ready to use
Question in Bill's workspace by Bill Foster and 1 other

Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.
Numbas demo: video
Ready to use
Question in Demos by Christian Lawson-Perfect

Customised for the Numbas demo exam

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.

Video in Show steps.
Product rule
Draft
Question in Bill's workspace by Bill Foster

Differentiate $x ^m \sqrt{a x+b}$ .
The answer is in the form $\displaystyle \frac{x^{m-1}g(x)}{2\sqrt{ax+b}}$
for a polynomial $g(x)$ . Find $g(x)$ .
Complete the square. (Video)
Draft
Question in Bill's workspace by Bill Foster

Find $p$ and $q$ such that $ax^2+bx+c = a(x+p)^2+q$ .

Hence, or otherwise, find roots of $ax^2+bx+c=0$ .

Includes a video which shows how to solve a quadratic by completing the square.
Complete the square
Draft
Question in Bill's workspace by Bill Foster

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Factorise $x^2+bx+c$ into 2 distinct linear factors and then find $\displaystyle \int \frac{a}{x^2+bx+c }\;dx$ using partial fractions or otherwise.
Integration by partial fractions
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Factorise $x^2+cx+d$ into 2 distinct linear factors and then find $\displaystyle \int \frac{ax+b}{x^2+cx+d}\;dx,\;a \neq 0$ using partial fractions or otherwise.
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $a$ , $B$ and $C$ such that $ax^2+bx+c = a(x+B)^2+C$ .
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $B$ and $C$ such that $x^2+bx+c = (x+B)^2+C$ .
Complete the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Complete the square for a quadratic polynomial $q(x)$ by writing it in the form $a(x+b)^2+c$ . Find both roots of the equation $q(x)=0$ .
Completing the square
Draft
Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
Square and cube numbers
Ready to use
Question in Transition to university by Stanislav Duris

Find the squares, and cubes, of some numbers.

Finally, find a square number between two given limits.
Fraction multiplication
Ready to use
Question in Transition to university by Lauren Richards and 1 other

Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem.
Completing the square
Ready to use
Question in Transition to university by Hannah Aldous and 1 other

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$ .
Always, sometimes or never: square and cube numbers
Ready to use
Question in Transition to university by Stanislav Duris and 1 other

Decide whether statements about square and cube numbers are always true, sometimes true or never true.
Lois's copy of Complete the square
Draft
Question in Algebra by Lois Rollings

Find $c$ and $d$ such that $x^2+ax+b = (x+c)^2+d$ .
Solving a difference of two squares by factorising
Ready to use
Question in Algebra by Ben Brawn

No description given
Factorising a difference of two squares
Ready to use
Question in Algebra by Ben Brawn

No description given

Show results for Show results for

Refine by Refine by

Status

Author

Tags

Usage rights

Ability Level

Topics