Max Maths, Year 6, Work Book, Number sequences

In Practice 6 of the Max Maths Year 6 Workbook, students are presented with exercises on number sequences using the concept of a 'function machine.' This machine takes an input number and transforms it into an output number based on a specific rule. For example, in the first sequence, when the numbers 5, 6, 7, and 8 are inputted, they yield outputs of 11, 12, 13, and 14, respectively. Students are tasked with predicting the output when the number 1 is entered into the machine, as well as the output for the number 147. They are expected to identify the rule that the function machine is using to generate the output numbers from the input numbers.

The second sequence introduces another function machine with a different set of inputs and outputs: inputting 7 gives 15, 8 gives 17, 9 gives 19, and 10 gives 21. Again, students are challenged to determine the outputs for the numbers 1 and 483 by applying the rule that governs this particular machine. In addition to these exercises, students are also given a sequence where they must analyze how the numbers are changing and find the missing numbers in the pattern. The sequence provided starts with 5, 11, 23, 47, 95, and then two unknown values, followed by 383. Students need to deduce the relationship between the numbers to correctly identify the missing values in the sequence.