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英文真题

KSf 2013 - finalized problems Cadet
[3 points]

1. In the picture, the big triangle is equilateral and has area 9. The lines are parallel to the sides and divide the sides into three equal parts. What is the area of the shaded part?

(A) 1 (B) 4 (C) 5 (D) 6 (E) 7

2. It is true that ( \frac{1111}{101} = 11 ). What is the value of ( \frac{3333}{101} + \frac{6666}{303} )?

(A) 5 (B) 9 (C) 11 (D) 55 (E) 99

3. The masses of salt and fresh water in sea water in Protaras are in the ratio 7:193. How many kilograms of salt are there in 1000 kg of sea water?

(A) 35 (B) 186 (C) 193 (D) 200 (E) 350

4. Ann has the square sheet of paper shown on the left. By cutting along the lines of the square, she cuts out copies of the shape shown on the right. What is the smallest possible number of cells remaining?

(A) 0 (B) 2 (C) 4 (D) 6 (E) 8

5. Roo wants to tell Kanga a number with the product of its digits equal to 24. What is the sum of the digits of the smallest number that Roo could tell Kanga?

(A) 6 (B) 8 (C) 9 (D) 10 (E) 11

6. A bag contains balls of five different colours. Two are red, three are blue, ten are white, four are green and three are black. Balls are taken from the bag without looking, and not returned. What is the smallest number of balls that should be taken from the bag to be sure that two balls of the same colour have been taken?

(A) 2 (B) 12 (C) 10 (D) 5 (E) 6

7. Alex lights a candle every ten minutes. Each candle burns for 40 minutes and then goes out. How many candles are alight 55 minutes after Alex lit the first candle?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6