SATs Pack 3

In the SATs Pack 3, students are presented with a variety of mathematical challenges that require them to apply their knowledge of measurement, arithmetic, and problem-solving. For example, they are tasked with converting real-life distances into map scales, where 1 cm on the map equals 40 km in reality. To find the map distance for a 260 km journey between two towns, students need to perform a division calculation. Another question involves a fisherman who cuts his 100-metre fishing line into five equal pieces and has 98.25 metres left, prompting students to calculate the length of each piece he cut. These types of questions not only assess the students' understanding of mathematical concepts but also their ability to show their methods and reasoning.

Additional problems in the pack cover a range of topics, such as financial planning, where a student named Will must figure out how much more he needs to save to reach a goal of £450 after having already saved £63.87. In another scenario, students calculate the remaining weight of a sack of carrots after using half a kilogram from a 765g sack. The pack also includes exercises that involve proportional reasoning, such as determining the cost of one spade given the price of rakes, and sharing a stack of bricks among several people. Each question is designed to engage students in practical applications of mathematics, encouraging them to demonstrate their working methods for arriving at the correct answers, which are provided at the end of the SATs Pack 3.