A-Level MathematicsYear 2021Q4
8 4 Kit is researching a type of mould that grows on oak and ash trees. He decides to take a sample of 20 trees from a local arboretum to study. The arboretum has a detailed database listing all of the trees growing there. Approximately 5% of the trees in the arboretum are oak trees, and approximately 3% are ash trees. (a) State the name of each of the following three sampling methods. A Kit assigns a number to each of the oak trees and ash trees in the arboretum, and uses a random number generator to pick 10 oak trees and 10 ash trees. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ B Kit chooses 10 oak trees near the southern entrance to the arboretum, and 10 ash trees near the western entrance. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ C Kit asks the manager of the arboretum to select a sample of 10 oak trees and 10 ash trees that she feels is representative of the trees in the arboretum. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ There are 917 oak trees in the arboretum. (b) Explain how you would use technology to get a systematic sample of 10 oak trees in a list format to be printed out. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9ST0_01_que_20211020.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)