Transition to university

Deicde whether each of the described sets of data is drawn from a discrete or continuous distribution.

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.

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.

Present some given data in a frequency table.

Convert from km to metres and miles, and miles to km.

Convert a height given in feet and inches into cm and then metres.

Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

Convert weights of babies between kg and lb and oz.

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.

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.

Questions on arithmetic, or linear, sequences.

This question assesses the student's ability to use some given information involving two different units of measurement to rewrite the information as a compound measure.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

Solve a quadratic equation by completing the square. The roots are not pretty!

Apply and combine logarithm laws in a given equation to find the value of $x$.

First part asks for the probability of rolling an even number. Second part asks for the probability of not rolling either of two given numbers.

This question assesses the students ability to find the expected number of times an event occurs given the probability of the event occurring for a single trial and the total number of trials.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

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Fill in a table of powers of 10.

Calculate and work with measures of central tendency such as mean, median and mode, and measures of spread such as range and standard deviation.

Calculate the density of an object given its mass and volume.

Apply the factor and remainder theorems to manipulate polynomial expressions

A fill-in-the-blank style question to test vocabulary within the topic of Algebra.

Questions on rearranging expressions, expanding brackets and collecting like terms.

Use a piecewise linear graph of speed against time to find the distance travelled by a car.

Finally, use the total distance travelled to find the average speed.

This question provides an example of an initial bank account investment with a fixed return and tests the student's understanding of an application of intercepts.

Addition and subtraction of integers and decimals.

Manipulate fractions in order to add and subtract them. The difficulty escalates through the inclusion of a whole integer and a decimal, which both need to be converted into a fraction before the addition/subtraction can take place. 

Decide whether statements about square and cube numbers are always true, sometimes true or never true.