Number and Algebra resources

Students evaluate a number of expressions involving the laws of indices (exponents).

Students identify what happens to indices when simplifying algebraic expressions.

Students solve given algebraic expressions using substitution.

Students identify whether algebraic equations are always, sometimes, or never true, and explain their reasoning.

Students convert numbers from ordinary form to standard form.

Students work out how many cups of juice can be made or how many runs can be scored from given rates.

Students answer questions about distance, speed and time, and identify an expression that describes the distance (kilometres) from the starting point in terms of time (minutes).

Students use ratios and proportional reasoning to compute various amounts.

Students calculate the weight of parts of a fish from given proportions.

Students work out the costs and the best value for money of a range of tomato sauce bottles.

Students solve algebraic problems about people's ages using information given.

Students use given information to solve a story problem about paper deliveries and identify the correct algebraic equation for the answer. They also write an algebraic equation for a similar story problem.

Students calculate fraction division problems and show their working.

Students work out the missing dimension on a rectangle and show how they obtained it using proportional reasoning.

Students add and subtract fractions to work out fractions of food.

Students perform decimal multiplication and division involving the cost of material, without the use of a calculator.

Students demonstrate their understanding of standard form numbers by ordering given numbers from smallest to largest and by identifying the larger of two numbers.

Students use substitution to calculate the cost and length of time taken to repair washing machines, and formulate and solve a related linear equation.

Students recommend which store offers the cheapest product based on calculations of percentage increase or decrease, and fully justify their answers.

Students use rounding to estimate totals then discuss this as a method of estimation.

Students write algebraic expressions which make equations true.

Task: calculate answer to questions about speed, distance, and time. Assessment focus: using a formula.

Students calculate percentage increases and decreases for odd jobs and show their working.

Students are required to re-arrange various algebraic equations.

Students complete 3 x 3 addition arrays by using whole numbers and algebraic expressions.