题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
311	If r and s are positive numbers and θ is one of the operations, +, −, *, or ÷, which operation is θ? 1.If r = s, then r θ s = 0. 2.If r ≠ s, then r θ s ≠ s θ r.
312	In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers $$s_1$$, $$s_2$$, $$s_3$$, - , $$s_n$$ have an even number of sign changes? 1.$$s_k= (-1)^{k}$$ for all positive integers k from 1 to n. 2.n is odd.
313	Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) 1.y ≥ 15 and t = 2 2.y = 17
314	What number is 6 more than x + y ? 1.y is 3 less than x. 2.y is twice x.
315	The total price of 5 pounds of regular coffee and 3 pounds of decaffeinated coffee was $21.50. What was the price of the 5 pounds of regular coffee? 1.If the price of the 5 pounds of regular coffee had been reduced 10 percent and the price of the 3 pounds of decaffeinated coffee had been reduced 20 percent, the total price would have been $18.45. 2.The price of the 5 pounds of regular coffee was $3.50 more than the price of the 3 pounds of decaffeinated coffee.
316	If a and b are integers, is $$a^{5}$$ < $$4^{b}$$ ? 1.$$a^{3}= –27$$ 2.$$b^{2} = 16$$
317	If each side of parallelogram P has length 1, what is the area of P ? 1.One angle of P measures 45 degrees. 2.The altitude of P is $$\frac{\sqrt{2}}{2}$$
318	If x is an integer greater than 0, what is the remainder when x is divided by 4 ? 1.The remainder is 3 when x + 1 is divided by 4. 2.The remainder is 0 when 2x is divided by 4.
319	A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? 1.The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3. 2.The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.
320	Is the average (arithmetic mean) of the numbers x, y, and z greater than z ? 1.z – x < y – z 2.x < z < y
321	Is the point Q on the circle with center C ? 1.R is a point on the circle and the distance from Q to R is equal to the distance from Q to C. 2.S is a point on the circle and the distance from Q to S is equal to the distance from S to C.
322	In the figure above, if A, B, and C are the areas, respectively, of the three nonoverlapping regions formed by the intersection of two circles of equal area, what is the value of B + C ? 1.$$A + 2B + C = 24$$ 2.$$A + C = 18$$ and $$B = 3$$
323	A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? 1.In the production lot, 400 of the small toys are green. 2.In the production lot, $$\frac{2}{3}$$ of the toys produced are small.
324	Is quadrilateral PQRS a parallelogram? 1.Adjacent sides PQ and QR have the same length. 2.Adjacent sides RS and SP have the same length.
325	In the figure above, the vertices of ∆OPQ and ∆QRS have coordinates as indicated. Do ∆OPQ and ∆QRS have equal areas? 1.b = 2a 2.d = 2c
326	After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence? 1.The sum of the first 3 terms in the sequence is 6. 2.The fourth term in the sequence is 6.
327	Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ? 1.Jones has worked at Firm X 9 years longer than Smith. 2.Green has worked at Firm X 5 years less than Jones.
328	In ∆JKL shown above, what is the length of segment JL ? 1. $$JK = 10$$ 2. $$KL = 5$$
329	br/] A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic? 1.Each side of each triangular piece of tile is 9 centimeters long. The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
330	If, in the figure above, ABCD is a rectangular region, what is the value of the ratio $$\frac{area of Δ EDA}{area of Δ EBC}$$ ? 1.AD = 4 2.AE = 2 and EB = 4

序号

题目内容

311

If r and s are positive numbers and θ is one of the operations, +, −, *, or ÷, which operation is θ? 1.If r = s, then r θ s = 0. 2.If r ≠ s, then r θ s ≠ s θ r.

312

In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers $$s_1$$, $$s_2$$, $$s_3$$, - , $$s_n$$ have an even number of sign changes? 1.$$s_k= (-1)^{k}$$ for all positive integers k from 1 to n. 2.n is odd.

313

Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.) 1.y ≥ 15 and t = 2 2.y = 17

314

What number is 6 more than x + y ? 1.y is 3 less than x. 2.y is twice x.

315

The total price of 5 pounds of regular coffee and 3 pounds of decaffeinated coffee was $21.50. What was the price of the 5 pounds of regular coffee? 1.If the price of the 5 pounds of regular coffee had been reduced 10 percent and the price of the 3 pounds of decaffeinated coffee had been reduced 20 percent, the total price would have been $18.45. 2.The price of the 5 pounds of regular coffee was $3.50 more than the price of the 3 pounds of decaffeinated coffee.