Algebra - Assessment

This Year 6 algebra assessment from Master the Curriculum involves a variety of algebraic challenges to test students' understanding and skills. The tasks require students to find the total of each row and column when given specific values, solve equations for positive integer variables, and complete function machines to determine outputs from given inputs and vice versa. The assessment includes a variety of problems such as solving for x in equations like x + 4 = 9, and more complex ones involving function machines that add 6 to the input to find the output. Students are also asked to consider combinations of two variables c and d that add up to 6, and to solve equations such as b - 4 = 9 and 4c = 24 to find the values of the variables.

Further into the assessment, students' confidence with algebra is gauged, and practical applications of algebra are explored. For instance, students calculate the cost of an ice-cream using a formula where the price depends on the number of scoops and toppings. They also determine the value of expressions like 3p + 7 when p is given as 6. The assessment includes a real-world scenario where students use a bar model to solve an equation and find the mass of individual cubes in a balancing problem. The equation-solving continues with exercises such as 4x + 7 = 55 and 10y - 4 = 56, requiring students to isolate the variable and find its value. The assessment concludes with a problem where students find out how many scoops and toppings are in an ice-cream priced at £3.40, demonstrating their ability to reverse-engineer the formula provided.