138 results in Transition to university - search across all projects.
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Several problems involving the multiplication of fractions, with increasingly difficult examples, including a mixed fraction and a squared fraction. The final part is a word problem.
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This question tests the student's knowledge of the remainder theorem and the ways in which it can be applied.
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Given a factor of a cubic polynomial, factorise it fully by first dividing by the given factor, then factorising the remaining quadratic.
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This question tests the student's ability to identify the factors of some composite numbers and the highest common factors of two numbers.
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Finding the full factorisation of a polynomial, using the Factor Theorem and long division Ready to useQuestion
Use a given factor of a polynomial to find the full factorisation of the polynomial through long division.
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Given the first four terms of a quadratic sequence, write down the formula for the $n^\text{th}$ term.
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Given the first three terms of a sequence, give a formula for the $n^\text{th}$ term.
In the first sequence, $d$ is positive. In the second sequence, $d$ is negative.
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Given sequences with missing terms, find the common difference between terms.
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Given arithmetic sequences with some terms missing, fill in the missing terms.
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Factorise a quadratic equation where the coefficient of the $x^2$ term is greater than 1 and then write down the roots of the equation
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Factorise three quadratic equations of the form $x^2+bx+c$.
The first has two negative roots, the second has one negative and one positive, and the third is the difference of two squares.
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Factorise polynomials by identifying common factors. The first expression has a constant common factor; the rest have common factors involving variables.
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Work out the average percentage increase per year in price of an item, given two prices several years apart.
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Eight expressions, of increasing complexity. The student must simplify them by expanding brackets and collecting like terms.
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Given a formula for a sequence, calculate a given term.
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Match up equations with the corresponding lines on a graph.
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Some conceptual questions about parallel lines - fill in the gaps in some statements.
Identify the lines corresponding to given equations, and the lines parallel to lines with given equations.
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Several problems involving dividing fractions, with increasingly difficult examples, including mixed numbers and complex fractions.
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Find the remainder when dividing two polynomials, by algebraic long division.
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This question tests the student's ability to find remainders using the remainder theorem.
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Deicde whether each of the described sets of data is drawn from a discrete or continuous distribution.
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Given an equation with an unknown, determine if the unknown is positive or negative.
First part is the product of two numbers; second part is the product of three.
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Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.
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Present some given data in a frequency table.
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Convert from km to metres and miles, and miles to km.
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Convert a height given in feet and inches into cm and then metres.
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Convert figures for car engine sizes between cc (cm^3), litres, and m^3.
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Convert weights of babies between kg and lb and oz.
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Given the common difference and first term of an arithmetic sequence, work out the index of the nth term of the sequence.
Framed as a word problem with ticket numbers in an ice cream shop.
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Given the first and last terms of a finite arithmetic sequence, calculate the number of elements and then the sum of the sequence.
Each part is broken into steps, with the formula given.