Multiplicative thinking resources

Students demonstrate their understanding of the effect of division and multiplication involving fractions.

Students compare the strength of drinks with different rates of drink powder per volume of water.

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

Students work out the stock rate (number of sheep per hectare) for a farm and use it to determine the maximum number of sheep for the winter.

Students use the number of words typed in a given time to work out the number of words typed per minute and per hour.

The price of various amounts of diesel is required given its price per litre as well as writing out how much diesel can be bought for a given price.

Students identify and give rules for when numbers are divisible by three or by nine.

Students calculate how price changes affect a purchase.

Students perform calculations on indoor cricket scores, which include negative numbers.

Students calculate the number of games teams win or play in a season from given ratios.

Students perform calculations on numbers in standard form and convert numbers from standard form to ordinary form and vice versa.

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

Students solve number problems involving prices which include and exclude sales tax.

Students write ratios of cooking ingredients in their simplest form.

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

Students evaluate a number of expressions involving the laws of indices.

Students answer questions about the change in weight of dogs as a result of limited food and increased exercise.

Using discount percentages, students calculate the sale price of clothes from the original price. They also calculate the original price of a discounted item.

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

Students explain errors in calculations that include all operations, decimal values, and percentages.

Students answer questions that require calculations with distance, time and speed.

Students express fractions, related distances covered, as percentages.

Students compute how much each of two people get when given amounts are divided according to given ratios in a variety of contexts.

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

Students calculate an exact square root and estimate approximate square roots by finding the length of the square flower bed of a given area, and give an explanation for their answers.