Is this polynomial a quadratic, linear or constant? Part of HELM Book 1.2

Part of HELM Book 1.2

Simplify n1.v^k1.(n2.v^k2), where n1, n2 are positive integers, v is a random letter variable, and k1 and k2 are nonzero integers.

The answer should be expressed as n.v^k

Part of HELM Book 1.2

Remove the brackets from (na)^k, or from n(a)^kwhere n is a number and a is a variable.

Part of HELM Book 1.2

Use the index laws to simplify 3 simple expressions;

n^a*n^b, n^a/n^b, (n^a)^b, where n is a randomised variable or number, and a and b are randomised nonzero integers.

Part of HELM Book 1.2

Evaluate a simple fraction squared or cubed. Part of HELM Book 1.2

Students are given three expanded products and asked to write them in index notation. Part of HELM Book 1.2

Asks students to compute (base)^index without a calculator for two simple questions. Part of HELM Book 1.2

Part of HELM Book 1.2

Part of HELM Book 1.2

Part of HELM Book 1.1

Part of HELM Book 1.1

Two BODMAS questions. 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 reciprocal. Find a modulus. Find a factorial. Part of HELM Book 1.1

Part of HELM Book 1.1

Part of HELM Book 1.1

Expand (x+a)(x+b)(x+c), where x is a randomised variable, and a,b,c are randomised integers.

Note that the pattern restriction in the marking checks that there are no brackets and that the expression is simplified to at most a single x^3, x^2, x and constant term; but it will let you get away with an additional -x^2 and/or -x term. (e.g., you could write 3x as 4x -x and the marking would accept this. This was to stop the pattern matching getting too complicated.

Part of HELM Book 1.3

Part of HELM Book 1.3

HELM Book 1.2

Add, subtract and multiply indices. Part of HELM Book 1.2

HELM Book 1.1 in NUMBAS

Multiplication of $2 \times 2$ matrices.

Addition, subtraction and multiplication by a scalar for 2 x 2 matrices.

Divisor is single digit. There is a remainder which we express as a decimal by continuing the long division process. Rounding is required to one decimal place. The working suggests determining the second decimal place so the student knows whether to round up or down.

Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Use the BODMAS rule to determine the order in which to evaluate some arithmetic expressions.