Applied Maths Item Bank

UACE MATHEMATICS SAMPLE ITEMS APPLIED MATHEMATICS ITEM 1 The Health Department at Kakaire High School recently initiated a wellness monitoring program to assess the nutritional impact of the school lunch menu. To evaluate the current state, they collected weight data from a sample of 40 students. Their goal is t o determine whether any dietary adjustments are necessary. According to the policy, if the average weight of the sampled students is below 35 kg, meat will be added to the menu on Tuesdays and Fridays; otherwise, the current meal plan will be maintained. A dditionally, the department wants to identify the most common weight range among students using a graphical representation, which will be presented to the school administration. Concerned about rising obesity levels, they also intend to calculate the numbe r of students weighing above 45 kg to include in their official health report. They managed to collect the following data. Weight(kgs) 10 − 19 20 − 29 30 − 39 40 − 49 50 − 59 Number of students 2 10 15 8 5 Task: The Health Department is seeking your assistance to: (i) find out if they need to change their lunch menu. (ii) Use a graph to identify the most common weight (mode). (iii) Determine the number of students who weigh more than 45 kg. ITEM 2 At an inter -school talent competition, six students Tom, Jane, Peter, Mary, John, and Vic performed in front of a panel of three judges: Judge A (the senior judge), Judge B, and Judge C. Each judge awarded marks out of 50 to every student. The competition organizers intend to award medals as follows: Gold for the student in 1st place, Silver for 2nd place and Bronze for 3rd place. To ensure fairness and consistency, the final rankings will not …