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英文真题

INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016 Time Allowed: 3 Hours SECTION ONE - (3 points problems) 1. The mean of four numbers is 9. What is the fourth number if three of the numbers are 5, 9 and 12? (A) 6 (B) 8 (C) 9 (D) 10 (E) 36 2. Which of the following numbers is the closest to the result of 17x0.3x20.16/999 ? (A) 0.01 (B) 0.1 (C) 1 (D) 10 (E) 100 3. On a test consisting of 30 questions, Ruth had 50% more right answers than she had wrong answers. Each answer was either right or wrong. How many correct answers did Ruth have, assuming she answered all questions? (A) 10 (B) 12 (C) 15 (D) 18 (E) 20 4. In a coordinate system four of the following points are the vertices of a square. Which point is not a vertex of this square? (A) (-1; 3) (B) (0; -4) (C) (-2; -1) (D) (1; 1) (E) (3; -2) 5. When the positive integer x is divided by 6, the remainder is 3. What is the remainder when 3x is divided by 6? (A) 4 (B) 3 (C) 2 (D) 1 (E) 0 6. How many weeks are the same as 2016 hours? (A) 6 (B) 8 (C) 10 (D) 12 (E) 16 7. Little Lucas invented his own way to write down negative numbers before he learned the usual way with the negative sign in front. Counting backwards, he'd write: ... 3, 2, 1, 0, 00, 000, 0000, ... What is the result of 000 + 0000 in his notation? (A) 1 (B) 00000 (C) 000000 (D) 0000000 (E) 00000000 8. I have some strange dice: the faces show the numbers 1 to 6 as usual, except that the odd numbers are negative (-1, -3, -5 in place of 1, 3, 5). If I throw TWO such dice, which of these totals cannot be achieved? (A) 3 (B) 4 (C) 5 (D) 7 (E) 8 Level Junior (Class 9 & 10) Page 1 of 8

中英双语真题

Kangaroo Math Competition 2016 (Malaysia) - Junior
3 points

1. The average of four numbers is 9. What is the fourth number if three of the numbers are 5, 9 and 12?

Purata bagi empat nombor ialah 9. Apakah nombor yang keempat jika tiga nombor yang diberi ialah 5, 9 dan 12?
四个号码的平均为9。若其中三个号码是5，9和12，请问第四个号码是？
(A) 6 (B) 8 (C) 9 (D) 10 (E) 36

2. Which of the following numbers is the closest to the result of (\frac{17 \times 0.3 \times 20.16}{999})?

Nombor manakah yang paling hampir dengan (\frac{17 \times 0.3 \times 20.16}{999})?
下列哪个号码最接近(\frac{17 \times 0.3 \times 20.16}{999})的答案？
(A) 0.01 (B) 0.1 (C) 1 (D) 10 (E) 100

3. On a test consisting of 30 questions, Ruth had 50% more right answers than she had wrong answers. Each answer was either right or wrong. How many correct answers did Ruth have, assuming she answered all questions?

Dalam satu ujian yang mengandungi 30 soalan, Ruth memperoleh 50% lebih jawapan betul berbanding jawapan salah. Setiap jawapannya adalah sama ada betul atau salah. Berapakah bilangan jawapan betul yang dipilih Ruth, jika dia menjawab semua soalan?
在一项试验中有30题，Ruth答对的答案比答错的多50%。每题的答案不是对就是错。若Ruth回答了所有问题，她共答对了多少题？
(A) 10 (B) 12 (C) 15 (D) 18 (E) 20

4. In a coordinate system four of the following points are the vertices of a square. Which point is not a vertex of this square?

Pada satu sistem koordinat, empat daripada titik berikut adalah bucu-bucu suatu segiempat sama. Titik manakah yang bukan merupakan bucu-bucu segiempat tersebut?
在一个坐标系中，以下四个点是一个正方形的顶点。请问哪个点不是这个正方形的顶点？
(A) (-1, 3) (B) (0, -4) (C) (-2, -1) (D) (1, 1) (E) (3, -2)