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1、 智 課 網(wǎng) S A T 備 考 資 料 SAT數(shù)學(xué)練習(xí)題(四-智課教育出國(guó)考試SAT數(shù)學(xué)練習(xí)題 1If f(x = x2 3, where x is an integer, which of the following could be a value of f(x?I 6II 0III -6A. I onlyB. I and II onlyC. II and III onlyD. I and III onlyE. I, II and IIICorrect Answer: A解析:Choice I is correct because f(x = 6 when x=3. Choice II
2、is incorrect because to make f(x = 0, x2 would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x = 0, x2 would have to be 3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x = -3SAT數(shù)學(xué)練習(xí)題 2For how many in
3、teger values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?A. 48B. 49C. 50D. 51E. 52Correct Answer: C解析: 1 4n + 7 200. n can be 0, or -1. n cannot be -2 or any other negative integer or the expression 4n + 7 will be lessthan1. The largest value for n wil
4、l be an integer (200 - 7 /4. 193/4 = 48.25, hence 48. The number of integers between -1 and 48 inclusive is 50SAT數(shù)學(xué)練習(xí)題 3In the following correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the sum are different. What is the sum of A,B,C and D?A. 23B. 22C. 18D
5、. 16E. 14Correct Answer: B解析:First you must realize that the sum of two 2-digit numbers cannot be more that 198 (99 + 99. Therefore in the given problem D must be 1. Now use trial and error to satisfy the sum 5A + BC = 143. A + C must give 3 in the units place, but neither can be 1 since all the dig
6、its have to be different. Therefore A + C = 13. With one to carry over into the tens column, 1 + 5 + B = 14, and B = 8. A + C + B + D = 13 + 8 + 1 = 22SAT數(shù)學(xué)練習(xí)題 412 litres of water a poured into an aquarium of dimensions 50cm length , 30cm breadth, and 40 cm height. How high (in cm will the water ris
7、e?(1 litre = 1000cm3A. 6B. 8C. 10D. 20 E. 40Correct Answer: B解析:Total volume of water = 12 liters = 12 x 1000 cm3. The base of the aquarium is 50 x 30 = 1500cm3. Base of tank x height of water = volume of water. 1500 x height = 12000; height = 12000 / 1500 = 8SAT數(shù)學(xué)練習(xí)題 5Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?A. 11/P + 6B. P/11 +6C. 17 - P/6D. 17/PE. 11.5PCorrect Answer: A解析:Let B
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