TIMO Khối 9 – Vòng Quốc gia (Heat Round) – Đề số 5

Given that the mean, median, range and the only mode of 200 integers are also 100. If A is the smallest integer among those 200 integers, find the minimum value of A.

nhất;

Mean: Trung bình cộng; Median: Trung vị; Range: Khoảng giá trị; Mode: Giá trị xuất hiện nhiều

Integers: Số nguyên

Minimum value: Giá trị nhỏ nhất

There are 14 questions in a mathematics competition. The scores of each question are allocated in the following ways: 3 marks will be given for a correct answer, 1 mark will be deducted from a blank answer and 2 marks will be deducted from a wrong answer. Find the minimum number of candidate(s) to ensure that 4 candidates will have the same scores in the competition.

nhất;

Allocated: Được quy định; Deducted: Bị trừ; Blank answer: Câu không trả lời; Minimum: Ít

Same scores: Số điểm bằng nhau

A box contains 150 coloured balls: 40 blue, 40 red, 50 green and 20 yellow. Sherry takes some balls from the box without looking at the colours of the balls. What is the least number of balls that she must take to ensure that she has 30 balls with the same colour?

Least number of balls: Số bóng ít nhất; Same colour: Cùng màu.