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ĐỀ THI VÒNG QUỐC GIA

G7 – HKIMO 2018-2019

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Question 1. According to the pattern shown below, what is the number in the blank?

Pattern: Quy luật; Blank: Chỗ trống.

2、12、30、56、90、132、…

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Question 2. Peter goes east for 20km, then goes south for 24km, then goes west for 13km. How many kilometers is he now from the original position?

East: Phía Đông; South: Phía Nam; West: Phía Tây; Original position: Vị trí ban đầu.

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Question 5. There are 10 pieces of red socks, 6 pieces of white socks and 22 pieces of blue socks in the box. If you want to get 2 pairs of socks with different colours, at least how many piece(s) of sock(s) is / are needed to be drawn at random?

At least: Ít nhất; Draw: Lấy ra; At random: Ngẫu nhiên.

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Question 6. Find the value of x if (37+21x)-(8x-67)=0.

Value: Giá trị.

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Question 7. If x and y are positive integers and 7x-2y=151,

find the minimum value of |x-y|.

Positive integer: Số nguyên dương; Minimum value: Giá trị

nhỏ nhất.

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Question 8.

How many integral solution(s) is / are there for x if -56≤5x+14<89?

Integral solution: Nghiệm nguyên.

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Question 11. Find the sum of all positive factor(s) of 513.

Sum: Tổng; Positive factor: Ước số dương.

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Question 12. From 1 to 1000, how many integer(s) is / are divisible by 3 and 5, but not divisible by 9?

Integer: Số nguyên; Divisible by: Chia hết cho.

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Question 15. The difference between two square numbers A and B is 611 and A > B. Find the smallest value of A.

Difference: Hiệu; Square number: Số chính phương; Smallest value: Giá trị nhỏ nhất.

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Question 16. A cube with side length 18 is cut into cubes with side length 6. Find the increase in total surface area of the cubes.

Cube: Khối lập phương; Side length: Độ dài cạnh; Increase: Tăng; Total surface area: Diện tích toàn phần.

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Question 18: Small cubes with side length 1 are combined according to the pattern shown below. Find the total volume of the 15th layer.

Cube: Khối lập phương; Side length: Độ dài cạnh; Total volume: Tổng thể tích.

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Question 19. The longest side of a triangle is 12, find the maximum area of the triangle.

Longest: Dài nhất; Side: Cạnh; Triangle: Hình tam giác; Maximum: Lớn nhất; Area: Diện tích.

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Question 20. An interior angle of a n-sided regular polygon is 8 times of an exterior angle. Find n.

Interior angle: Góc trong; n-sided regular polygon: Đa giác đều n cạnh; Exterior angle: Góc ngoài.

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Question 21: There are 2 identical blue flags and 2 identical white flags are put from left to right. How many way(s) of arrangement is / are there?

Identical: Giống nhau; Way of arrangement: Cách sắp xếp.

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Question 22: There are one 1g, one 2g, one 5g, one 7g and one 9g mass. How many different weights can be measured?

Mass: Quả cân; Different: Khác nhau; Measure: đo.

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Question 23 In how many possible ways can 14 identical flowers be distributed to 3 distinct vases with at least two in each vase?

Identical: Giống nhau; At least: Ít nhất.

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Question 24: Use 1, 2, 4, 7, 8, 9 to form 5-digit numbers. The even digits cannot be next to each other. How many number(s) can be formed in this way?

5-digit number: Số có 5 chữ số; Even digit: Chữ số chẵn.

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Question 25: Alice goes from point A to point B. For each step, she can only move up or move right. How many way(s) is / are there if she must pass through the point O?

Move up: Đi lên trên; Move right: Đi sang phải; Pass through: Đi qua.