Testing whether students know how to use multiple log laws.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

Inequality involving a single absolute value, question solution uses the piecewise nature of the absolute value function.

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For a sample of size n from a normal distribution, given mean of the sample mean and the standard deviation , find the t-statistic corresponding to a null hypothesis $\mu=m$ and a given confidence level. Check if the result is significant at this level.

A box contains $m$ white balls and $n$ black balls. A ball is drawn out of the box at random. What is the probability that the ball is black/white?

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

A box contains $m$ white balls and $n$ black balls. A ball is drawn out of the box at random. What is the probability that the ball is black/white?

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

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

A couple of multiplication tables to be completed. Numbers to be multiplied are generated randomly. Single digit multiplication recall.

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I feel this question has too many questions inside it, I have since made a question that just asks a single division problem called Decimals: Division (includes rounding the answer).

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.

Asks the student to add two single-digit numbers, one of which might be negative.

Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

Addition Formulas in Trigonometry. Range of Sinusoidal functions. 

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Questions to test if the student knows the inverse of fractional power or root (and how to solve equations that contain them). 

SIngle long division

A box contains $m$ white balls and $n$ black balls. A ball is drawn out of the box at random. What is the probability that the ball is black/white?

Express $\displaystyle ax+b+  \frac{dx+p}{x + q}$ as an algebraic single fraction. 

Practice rationalising a single-term, surd denominator.

Adapted from 'Surds 2' by Joshua Boddy.

Single example with detailed solution for rationalising a binomial denominator which contains surds.

Adapted from 'Surds: rationalising the denominator conjugate' by Ben Brawn.

Simple example with detailed solution for rationalising a single-term, surd denominator.

Adapted from 'Surds: rationalising the denominator simple' by Ben Brawn.

Two particles connected by a string which passes over a pulley at the top of an inclined plane. Find the acceleration of the masses and the tension in the string. Can not model the whole system as a single particle.

Express $\displaystyle \frac{a}{(x+r)(px + b)} + \frac{c}{(x+r)(qx + d)}$ as an algebraic single fraction over a common denominator. The question asks for a solution which has denominator $(x+r)(px+b)(qx+d)$.

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