Merryn Horrocks

The dimensions of a rectangle are given in m and cm. Compute the area or perimeter.

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Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.

Useful for a review of the base 10 number system before introducing different bases and also just ensuring students understand how the base 10 system works.

old question, way too many things in one question! I have made better questions out of each part now.

Nice easy case except divisor is a double digit. There is no remainder. 

Divisor is a two digit number. There is a remainder which we express as a decimal by continuing the division process. No rounding is required by design (another question will include rounding off).

Divisor is a two-digit number. There is a remainder which we express as a decimal by continuing the 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.

Divisor is double digit. There is a remainder which we express as a fraction. 

The simplest case. Divisor is single digit. There is no remainder. 

Divisor is single digit. There is a remainder which we express as a decimal by continuing the division process. No rounding is required by design (another question will include rounding off).

Divisor is single digit. There is a remainder which we express as a decimal by continuing the 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.

Divisor is single digit. There is a remainder which we express as a fraction. 

Students seem to miss the fact that division is actually multiplication by the reciprocal or the inverse of multiplication. This question attempts to address that.

Subtracting a decimal with 3 decimal places from a decimal with 2 or 3 decimal places. borrowing is necessary. This was modified from a subtraction question using integers with each number divided by 1000 so the variables have names referring to ones, tens, hundreds etc.

I think I prefer the other question I made called "Rounding to 0, 1, 2 and 3 decimal places"

By powers of ten I mean a 1 followed by some 0s. The scientific notation questions will take care of the power of ten notation.

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. 

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Issues: alignment in columns in the working - not sure what to do about it

Decimal divided by a decimal. Multiply by a power of ten to get an integer divisor. Long and short division process. There is a remainder which we express as a decimal by continuing the division process. Rounding is required to some number of decimal places.

Some students believe a decimal is larger if it is longer, some believe a decimal is larger if its first non-zero digit is larger.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.

Given f(x)=1/(a-x)^2, evaluate f(x/z) where a is a randomised constant, and z is a randomised letter.

Given one of ax^2, ax^3, a/x (where a is a positive integer), calculate f(x+h) and f(x+h)-f(x) 

Give f(x)=ax^2+b a simple function input (like 6x-3) and evaluate. Constants and variables, and the function input are all randomised.

evaluate a function with randomised alphanumeric expressions as inputs.

Evaluate a linear function at 3 numerical inputs.

HELM book 2.1.2 exercises

Evaluate a given, randomised, linear function at a given, randomised, value.