IGCSE Mathematics - International (0607) — May–June 2024, Paper 51
8 questions · every question answerable online with instant point-by-point AI marking against the official mark scheme.
Start with Question 1 →INVESTIGATION — SUMS OF NUMBERS. This investigation looks at the sum of the positive integers, 1 + 2 + 3 + …. It also looks at the sum of their cubes, 1³ + 2³ + 3³ + …. Calculate…
Answer this question and get it marked →Use the method in Question 1(b) to calculate the sum of the first six positive integers, 1 + 2 + 3 + 4 + 5 + 6.
Answer this question and get it marked →Complete the method to show that the sum of the first 30 positive integers is 465. So 1 + 2 + 3 + … + 28 + 29 + 30 = 465. Row 1: 1, 2, 3, …, 15; Row 2: ..., ..., ..., …, 16; Row 3…
Answer this question and get it marked →Find the sum of the first 160 positive integers, 1 + 2 + 3 + … + 160.
Answer this question and get it marked →Use Questions 1, 2, 3 and 4 to help you complete the table. Number of positive integers starting at 1 Multiplication Sum --- --- --- 4 2 × 5 10 6 (Question 2) 8 4 × 9 (Question 1)…
Answer this question and get it marked →1 + 2 + 3 + … + n has n positive integers and its sum is T. Find a formula for T in terms of n.
Answer this question and get it marked →In the table in Question 5 the number of integers is always even. Does your formula in Question 6 give the correct total when n = 7?
Answer this question and get it marked →Complete the table. Sum of first n positive integers — Calculation Sum (T) Sum of first n cube numbers — Calculation Sum (S) --- --- --- --- 1 + 2 3 1³ + 2³ (= 1 + 8) 9 1 + 2 + 3…
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