HELM Book 1.2.3 exercises

Subtract indices. Part of HELM Book 1.2

Multiply indices. Part of HELM Book 1.2

Add indices. Part of HELM Book 1.2

Use a calculator to compute (base)^index. Part of HELM Book 1.2

HELM Book 1.2.1 exercises

Evaluate a decimal: either 0.1,0.2,0.3,0.4,0.01,0.02,0.03,0.04 squared or cubed. Part of HELM Book 1.2

The student is shown a GeoGebra worksheet containing a single point at the origin. They must move the point to the required coordinates.

The part is marked as correct if the point is in the right position.

The student is shown a GeoGebra worksheet containing a single point at the origin. They must move the point to the required coordinates.

The part is marked as correct if the point is in the right position.

Calculate a factorial, or the difference of two factorials, or a fraction of two factorials.

Used in HELM Book 5.1.1 Exercises

Compute the modulus of either (a) a signed decimal, or (b) a sum or difference of two decimals.

Used in HELM Book 1.1.5 Exercises

An order of operation question using +,-,* with signed integers, with up to 4 variables.

The questions are the exercises from Q3 of HELM Book 1.1.5

Divide two numbers, at least one of which is negative. The answer is always an integer.

Multiply two numbers, at least one of which is negative.

The student is shown a GeoGebra worksheet containing a single point at the origin. They must move the point to the required coordinates.

The part is marked as correct if the point is in the right position.

Two BODMAS questions. Part of HELM Book 1.1.

A BODMAS fraction question. Part of HELM Book 1.1.

Round a number to $n$ significant figures. Part of HELM Book 1.1

Round a number to $n$ decimal places. Part of HELM Book 1.1

Find reciprocals of (a) a proper fraction, (b) an improper fraction, (c) an integer

Compute the modulus of (a) a positive rational, (b) a negative rational, (c) 0

Rewrite the expression $\frac{c}{x^2+mx+n}$ 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 $\frac{c}{(x+a)(x+b)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}$.

Rewrite the expression $\frac{c}{kx^2+mx+n}$ 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 $\frac{c}{(kx+a)(x+b)}$ as partial fractions in the form $\frac{A}{kx+a}+\frac{B}{x+b}$.

Factorise a quadratic. Part of HELM Book 1.3

Remove the brackets from algebraic expressions. Part of HELM Book 1.3

Part of HELM Book 1.3

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

Calculate the product of two randomised scientific notation numbers and give the answer in scientific notation.

Part of HELM Book 1.2