This question tests the student's ability to model and solve Integer Programming problems

This question tests the student's ability to model and solve Integer Programming problems

LP: Geometric method

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

This question tests the student's ability to solve Linear Programming problems by applying Geometric method.

This question tests the student's ability to find the intersection of two lines.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Calculating gradients - polynomials

No description given

No description given

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Collect like terms to simplify an algebraic expression. Part of HELM Book 1.3

Simplify x^3+ax^2+bx^2+cx+dx+e to x^3 + (a+b)x^2 + (c+d)x + e

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify x^2+yx+xy+y^2 to x^2 + 2xy + y^2.

There are 6 versions of this question.

Part of HELM Book 1.3

Identify that ax^2+by^2+cy+dx cannot be simplified.

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax^2+bx^2+cx+d to (a+b)x^2 + cx + d

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax^2+bx+cx+d to ax^2 + (b+c)x + d

There are 6 versions of this question.

Part of HELM Book 1.3

Simplify ax+b+cx+dy+e to (a+c)x + dy + b+e

There are 6 versions of this question.

Part of HELM Book 1.3

Given either (a) ax+bx+cy+dy, or (b) ax^2+bx+c, (c) ax^2+bx^2+cx^2, where a,b,c,d are randomised constants, and x and y are randomised letters, simplify by collecting like terms (if possible).

Part of HELM Book 1.3

Given an expression in one or two variables, with two or three terms, collect like terms, if possible. Part of HELM Book 1.3

Compare ax-bx, and ax(bx) and simplify, where a and b are +ve or -ve integers, and x is a randomised variable. Part of HELM Book 1.3

State if a function is increasing at given points or on given intervals

Derivatives from first principles, quadratic

Rewrite the expression $\frac{cx+d}{kx^2+mx+n}$ as partial fractions in the form $\frac{A}{kx+a}+\frac{B}{x+b}$, where the quadratic $kx^2+mx+n=(kx+a)(x+b)$.

Rewrite the expression $\frac{cx+d}{x^2+mx+n}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$, where the quadratic $x^2+mx+n=(x+a)(x+b)$.

Rewrite the expression $\frac{cx+d}{(x+a)(x+b)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$.

HELM Book 1.2.6 exercises

Write a large number and a small number in scientific notation. (Numbers contain 5 digits). Indices range from -7 to +7, excluding 0 and 1

Part of HELM Book 1.2