Merryn Horrocks

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

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

Part of HELM Book 1.2

Simplify three expressions: (a^b)^c, a^b * a^c, a^b/a^c where a, b and c are randomised. a is a letter, and b and c are rational numbers.

Part of HELM Book 1.2

Simplify (a^k1*a^k2)/(a^k3*a^k4) where a is a randomised variable and k1,k2,k3 and k4 are randomised fractions (k2 and/or k4 may be 0). They may be written in index form or in surd form, or even a combination of the two.

Part of HELM Book 1.2

Use a calculator to evaluate a number to the power of a fractional index. Both the number (a positive integer) and the index (a rational) are randomised.

Part of HELM Book 1.2

Part of HELM Book 1.2

Given an expression 10^-k, rewrite it as a fraction with no index. k is a random positive integer from 1 to 6.

Part of HELM Book 1.2

Write an expression (a^k1*a^k2)/a^k3 using a single positive index. Variable a is randomised and can be a number or a letter. k1,k2 and k3 are randomised and can be positive or negative numbers.

Part of HELM Book 1.2

Given an expression (either a^-k or 1/a^-k) with a negative index, rewrite it with a positive index.

The variable a and the index k are randomised.

Part of HELM Book 1.2

Part of HELM Book 1.2

Given an arbitrary polynomial, identify its degree. Part of HELM Book 1.2

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