Max Maths, Year 6, Work Book, Word problems

In the Max Maths Year 6 Workbook, Practice 6 presents students with engaging word problems that require the application of mathematical concepts such as ratios, fractions, and calculations to solve real-world scenarios. The first problem involves a large cake containing 2 kg of fruit, with a ratio of pineapple to orange being 1:3. Students are prompted to draw a diagram to visually represent the ratio and then calculate the exact mass of each type of fruit within the cake. This exercise not only tests their understanding of ratios but also their ability to convert these into actual weights for the ingredients.

The second problem introduces Samir's collection of 50 toy vehicles, with fractions representing different types of vehicles: one-fifth are trucks, two-fifths are cars, and one-tenth are emergency vehicles. Students must calculate the number of each type of vehicle, potentially using visual aids like drawings to assist in their understanding. In the third scenario, Tya has 36 beads for her hair braids, with a ratio of blue to green beads at 1:2. The task is to determine the quantity of each colour bead she possesses. Finally, Toby's collection of 24 counters is described, with one-third being blue, one-half red, and the remainder yellow. Students are asked to find the ratio of blue to yellow counters, again with the option to use pictorial representations to facilitate the calculation. These problems aim to strengthen the students' problem-solving skills and their ability to apply mathematical principles to everyday situations.