2011 袋鼠数学 E-Junior 真题 答案 详解

英文真题

3 point problems
PROBLEM 01
A zebra crossing has alternate white and black stripes, each of width 50 cm. The crossing starts and ends with a white stripe and has 8 white stripes in all. What is the total width of the crossing?
(A) 7 m (B) 7.5 m (C) 8 m (D) 8.5 m (E) 9 m

PROBLEM 02
The area of the shaded rectangle is 13 cm² and X and Y are the midpoints of the sides of the trapezium.
What is the area of the trapezium?
(A) 24 cm² (B) 25 cm² (C) 26 cm² (D) 27 cm² (E) 28 cm²

PROBLEM 03
Given that ( P = 2 \times 3 + 3 \times 4 + 4 \times 5 ), ( Q = 2^2 + 3^2 + 4^2 ) and ( R = 1 \times 2 + 2 \times 3 + 3 \times 4 ), which of the following statements is true?
(A) ( Q < P < R ) (B) ( P < Q = R ) (C) ( P < Q < R ) (D) ( R < Q < P ) (E) ( Q = P < R )

PROBLEM 04
A number has to be written at each of the dots of the lattice shown so that the sum of the numbers at the ends of each line segment is the same.
Two of the numbers have already been written. What number goes in the place labelled x?
(A) 1 (B) 3 (C) 4 (D) 5 (E) more information is needed

PROBLEM 05
When 2011 was divided by a certain number, the remainder was 1011. Which of 100, 500 or 1000 was the divisor?
(A) 100 (B) 500 (C) 1000 (D) some other number (E) it is not possible to get this remainder

PROBLEM 06
A rectangular mosaic with area 360 cm² is made from square tiles, all the same size. The mosaic is 24 cm high and 5 tiles wide. What is the area of each tile?
(A) 1 cm² (B) 4 cm² (C) 9 cm² (D) 16 cm² (E) 25 cm²

PROBLEM 07
Every 4-digit number whose digits add up to 4 is listed in descending order. In which place in the list is the number 2011?
(A) 6th (B) 7th (C) 8th (D) 9th (E) 10th

Level Junior – Class 9 & 10