2011 袋鼠数学 D-Cadet 真题 答案 详解

英文真题

3 point problems
PROBLEM 01
Which of the following has the largest value?
(A) $2011^1$ (B) $1^{2011}$ (C) $1 \times 2011$ (D) $1 + 2011$ (E) $1 \div 2011$

PROBLEM 02
Elsa plays with tetrahedrons and cubes.
She has 5 cubes and 3 tetrahedrons. How many faces are there in total?
(A) 42 (B) 48 (C) 50 (D) 52 (E) 56

PROBLEM 03
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 04
My broken calculator divides instead of multiplying and subtracts instead of adding. I type $(12 \times 3) + (4 \times 2)$. What answer does the calculator show?
(A) 2 (B) 6 (C) 12 (D) 28 (E) 38

PROBLEM 05
My digital watch has just changed to show the time 20:11. How many minutes later will it next show a time with the digits 0, 1, 1, 2 in some order?
(A) 40 (B) 45 (C) 50 (D) 55 (E) 60

PROBLEM 06
The diagram shows three squares.
The medium square is formed by joining the midpoints of the large square. The small square is formed by joining the midpoints of the medium square. The area of the small square in the figure is 6 cm². What is the difference between the area of the medium square and the area of the large square?
(A) 6 cm² (B) 9 cm² (C) 12 cm² (D) 15 cm² (E) 18 cm²

Level Cadet – Class 7 & 8