IGCSE Mathematics - International (0607) — May–June 2024, Paper 62
11 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →A: INVESTIGATION — INTEGER TREES (30 marks). This investigation looks at patterns when integers are arranged in the shape of a tree. A tree uses consecutive integers starting with…
Answer this question and get it marked →Complete the table for trees with two leaves on each branch. Use your answers to Question 1 to help you. n A B T A − B A + B − T --- --- --- --- --- --- 2 6 3 5 3 4 4 18 12 22 6 8…
Answer this question and get it marked →In this question trees have 3 leaves on each branch. This tree has 6 branches (trunk holds 1, 5, 9, 13, 17, 21). Complete the table. n A B T A − B A + B − T --- --- --- --- ---…
Answer this question and get it marked →The table shows values of A − B and A + B − T for trees with 4 leaves on each branch. n A − B A + B − T --- --- --- 2 5 8 4 10 16 6 15 24 8 20 32 Complete the table below. Use the…
Answer this question and get it marked →In this question trees have an odd number of branches (more than one branch). This tree has 5 branches with 2 leaves on each branch (trunk holds 1, 4, 7, 10, 13). Find the value…
Answer this question and get it marked →In this question a tree can have either an even number or an odd number of branches. A tree can now start with any integer k, with p leaves on each branch. This is the start of a…
Answer this question and get it marked →B: MODELLING — CARBON FOOTPRINT OF AIR TRAVEL (30 marks). This task looks at modelling the personal carbon footprint of someone travelling by air. Carbon footprint is the amount…
Answer this question and get it marked →Nikita finds this data for an aircraft making journeys of different lengths. Journey length (L km) 260 400 520 740 950 1080 1200 1460 --- --- --- --- --- --- --- --- --- Average…
Answer this question and get it marked →The model gives these values of F, correct to one decimal place. Journey length (L km) 200 400 600 800 1000 1200 1400 1600 --- --- --- --- --- --- --- --- --- Average fuel use (F…
Answer this question and get it marked →The amount of carbon dioxide given out by an aircraft depends on the amount of fuel used. A kilogram of aircraft fuel makes 3200 grams of carbon dioxide. The aircraft makes a…
Answer this question and get it marked →Nikita wants to compare her carbon footprint for air travel and train travel. She finds that the personal carbon footprint, C, for train travel is 40 g/km for each passenger for…
Answer this question and get it marked →