Merryn Horrocks

HELM book 2.1.3 exercises

Given f(x)=(x+a)/(x+b) and g(x) = 1/x, compute f(g(x)) and g(f(x)).

a and b are randomised integers.

Given 2 randomised functions f(x) (linear) and g(x) (quadratic), find one of f(f), f(g), g(f) or g(g) at a randomised integer x-value

Given 2 randomised functions f (linear) and g (quadratic), find one of f(f), f(g), g(f) or g(g)

A set of practice questions for primary teaching students studying Mathematical Patterns and Relationships

convert large numbers to scientific notation

NC NA Non-calculator and Number and Algebra strand. This number assesses students' ability to add and subtract very simple fractions. Students need two add two fractions (possibly mixed numbers) involving quarters and/or halves, then subtract their answer from a whole number. The answer must be entered in simplest form and will always be less than one.

Convert between improper fractions and mixed numerals

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

Add, subtract, multiply of divide two mixed numbers. This question has no advice at this stage.

Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions. 

Area and perimeter of rectangles

Area and circumference of circles

Area and perimeter of triangles.

Match prefixes with their abbreviations, from nano to giga. Match prefixes with equivalent scientific notation.

The subtraction algortihm using the borrow and pay back method with integers.

Recall of common units, along with understanding multiplication.

Converting between giga, mega, kilo, base, milli and micro, nano. Metres, grams and litres.

Simple questions on square numbers, square roots, cube number, cube roots and prime numbers.

No description given

No description given

No description given

A single question which asks you to round to the nearest ten, hundred or thousand. 

Round random numbers to the closest whole number, 1, 2 or 3 decimals places.

Area and Perimeter of Rectangles

rebelmaths

Questions for calculating perimeters and areas of shapes.

 Basics, percentage of an amount, converting to fractions and decimals.

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.

Multiplication algorithm with integers