Given a function definition in words, evaluate the function with various variable and numeric inputs

HELM Book 1.5 Formulae and substitution exercises.

A difficult question that involves rearranging a complicated formula, then applying unit conversions to variable values, then evaluating the formula for the selected value. The variable values are randomised.

Rearrange an equation for a variable e in k.1/(1-e) and then evaluate for e, given values for the variables.

Rearrange a linear formula au + bv + cw = d to make one of u,v,w the subject.

Choice of 2 formulae. The first is a fraction of the form y=(r+x)(1-rx). The second is of the form y=sqrt[(1-x)/(1+x) ]. Rearrange to make x the subject.

Rearrange a formula with a square root to make a variable under the root the subject.

Rearrange a complex formula involving squares, square roots, fractions and additions. This is a fixed question with no randomisation.

Rearrange a linear function in x and y to make y the subject. Line variables are randomised.

Transpose PV=RT to make a random variable the subject.

Convert a random number of cubic metres into cubic centimetres

Convert a random value in square metres to square centimetres.

Given the formula for a cone or a cylinder, and values for r and h, find the volume.

Evaluate J = (1/2)Ma^2 for random values of M and a.

convert a random length in m to centimetres

evaluate a function (4a)/(pi*b^2cd) given random values for a,b,c,d.

Find the reactions of a rigid body (a triangular plate) at a pin and roller, using the three-force body principle.

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Multiplication algorithm with integers

Multiplication algorithm with integers

Evaluate pi / (2r+s) given values for r and s (r>0, s positive or negative)

evaluate sqrt(x/z) where x and z are random positive decimals.

a) Multiplying decimals with a single non-zero digit. Students are told to preserve the number of decimal places (from the question to the answer). 

b) Multiplying decimals requiring the multiplication algorithm. 

Compute P = 3/(QR) given values for Q and R.

Calculate R = ap^2 for given positive values of a and p.

evaluate the function y=ax+b for given values of a,b and x, each of which may be positive or negative.

HELM Book 1.5.2 Task 1. This is a fixed question, asking you to rearrange an equation.

HELM Book 1.5.2 Task 2. This is a fixed question, asking you to rearrange an equation.

HELM Book 1.5.1: using formulae and substitution: task 1

Add two algebraic fractions with coprime denominators. Part of HELM Book 1.4.3.