PRACTICE TEST 1 UPPER LEVEL

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1 Practice Test Upper Level PRACTICE TEST UPPER LEVEL SECTION (0 minutes, 5 questions) In this section, there are five possible answers for each question below. Choose the best answer and fill in the oval that corresponds to your answer choice on the answer sheet. You may use the margins of the test pages for scratchwork. Note: Figures are drawn to the best accuracy EXCEPT for problems stating the figures are not drawn to scale.. If = , = A. 9.8 B E An auditorium has 40 rows of seats, with 0 seats per row. How many seats are vacant when 60 percent of the seats are occupied? A. 0 B E. 0. If 7 5 Ω= 0, which of the following best approximates Ω? A. 0.4 B E. 8 0

2 SSAT Math 4. The rectangle HEFG is given in the following figure, what is the area of rectangle HEFG? E (,6) F (7,6) H(,) A. B. 6 8 E. 49 G (7,) Note: Figure not drawn to scale 5. If > n > 7 and n is a multiple of 5, then n = A. 8 B. 9 0 E = 5 A.. B E Which of the following does not have a value of 0.6? A. 6 0 B. 60% E

3 Practice Test Upper Level 8. 60% of is equal to 5% of what number? A..8 B E If the perimeter of a rectangle is 06 cm and its length is 45 cm, what is the area of the rectangle? A. 0cm B. 40 cm 60 cm 480 cm E. 4,770 cm 0. John hit the target 0 consecutive times. In his next 0 trials, he made 5 more hits, and missed 8 and then got 7 more hits. Which of the following must be true? I. He hit the target times. II. He hit the target 55% of the time. III. The total of hits and misses is 40. A. I only B. II only III only I and II only E. I and III only. If = k, then the value of k is A B E

4 SSAT Math. Ken is racing Andrew on a -mile-long race track. Ken is driving at a speed of 40 miles per hour, and Andrew is driving at a speed of 44 miles per hour. How much is Andrew faster than Ken? A. 0 seconds 4 B. 6 seconds 8 4 seconds 0 seconds E. 0 seconds. If each side of a square is halved in length then A. the area of the square is divided by 8 B. the perimeter of the square is divided by 8 the perimeter of the square is divided by 4 the area of the square is divided by 4 E. None of the above is true 4. Edward bought a sweater and paid a sales tax of $4.50. If the sales tax was 8% of the listed price, what was the price of the sweater before tax? A. $ 48 B. $56.5 $57 $ 6 E. $ If x+ y = 5 and y = 7, what is the value of x? A. 4 B E. 8 06

5 Practice Test Upper Level 6. School ABC did a school survey on student s favorite sport and the following graph is plotted according to the data collected. Each unit is equivalent to twenty students. How many students like soccer more than basketball? Student's Favorite Sport Unit Swimming Badminton Basketball Soccer Sport A. 0 B E In the morning, it is degrees above zero in Twin Peak. The weather forecast predicts the temperature by midnight would fall by 4 degrees there. What is the temperature by midnight in Twin Peak? A. 7 degrees below zero B. 9 degrees below zero 7 degrees above zero 9 degrees above zero E. 7 degrees above zero 8. Which of the following is equivalent to A. 0.4 B % 4 E ? 07

6 SSAT Math 9. All of the following are not between A. 0.4 B E. 77% 4 and 4 EXCEPT 0. When a number is multiplied by 4, the product is. This number, when added to 8, would be a multiple of which of the following? A. B E. 9. When a number is added to 40 and then doubled, the result is greater than 50. Thus, the number is A. greater than 0 B. greater than greater than 5 4 E. none of the above. Kate and Johnson had 8 stamps altogether. If Johnson had 6 more stamps than Kate, how many stamps did Johnson have? A. 6 B. 8 0 E. 4 08

7 Practice Test Upper Level. If s = 7, then three times s is A. 9 B. 0 0 E If AB = AC in the following figure, the measure of x is A 58 o B x o A. 9 B E. 9 C Note: Figure not drawn to scale 5. A woman bought a dozen of apples, how much does she need to pay in total if each apple costs $5? A. $5 B. $0 $ 60 $90 E. $0 09

8 SSAT Math SECTION 4 (0 minutes, 5 questions) In this section, there are five possible answers for each question below. Choose the best answer and fill in the oval that corresponds to your answer choice on the answer sheet. You may use the margins of the test pages for scratchwork. Note: Figures are drawn to the best accuracy EXCEPT for problems stating the figures are not drawn to scale.. Which of the following is closest to 0? A. 5 0 B..9. (.).6 E If 9< x < and < x < 9, then the value of x can be A. 9 B. 0 E.. If of a number is 6, then A. 6 B. 8 E. 54 of this number is 0

9 Practice Test Upper Level 4. % of what number is 5? A. 00 B E What is the average of A. B. E and 7? 6. If A. B. E. y 4 = x, what is the value of y when x =?

10 SSAT Math 7. If 4 6 λ = 4, then λ = A. 6 B E. 6 Questions 8-0 refer to the following definition. For all real numbers a and b, a b= ( a b) ( a+ b) For example, 4 = (4 ) (4 + ) = 8 6 = = A. B E. 9. If N =, then N = A. 4 B E If A and B are positive real numbers, which of the following must be true? I. A B= 0 II. B B = B III. ( B) ( B) = 4B A. I only B. II only III only I and II only E. none of the above

11 Practice Test Upper Level. There are 4 quarters in $. A girl has $0.00. She uses 6 quarters to buy a cake, how many quarters has she left? A. 0 6x B. 0 6x 4 6x E. 60. If x + 8= y, then A. x= y B. x= y+ x + 5 = y x > y E. y > x. A girl gets $75 per 5 days, how many days does it take the girl to save up $4? A. 0 B E To make a cake, 8 grams of flour and dozen of eggs are used. To make another cake with the same proportion of flour and eggs, how many eggs should be used if grams of flour are used? A. 8 B. 8 0 E.

12 SSAT Math 5. The coordinates of rectangle PQRS are P (,), Q(, ), ( 4, ) S ( 4,). What is the perimeter of this rectangle? A. 4 B E. 48 R and 6. The distance from home to school is 0 miles. The bus runs at 0 miles per hour from home to school. After school, Sam walks home at the average rate of 5 miles per hour. What is the average speed for the round trip in miles per hour? A. 4 B E If all the sides of a square are doubled, which of the following is true? A. Its area is multiplied by 8. B. Its area is multiplied by 4. Its area stays the same. Its perimeter is multiplied by 8. E. Its perimeter is multiplied by 4. 4

13 Practice Test Upper Level 8. There are x boxes of paper. 8 of the boxes were sold on the first week, of the 5 boxes were sold on the second week and of the boxes were sold on the third 4 week. How many boxes were left after the third week? A. 7 x B. E. 7 x 7 40 x 40 x x 9. If 8 is divided by x, and the quotient added to y is equal to 6, what is y? A. y x = 8 B. + 6 = y x 8 y 6 x = + x = y E. y x = 0. After reading 0 pages, Mary has finished 40% of the novel. How many pages does the novel have? A. 00 B E. 50 5

14 SSAT Math. How many fourths are there in 5 4 6? A. B. E The sides of each cube are all cm in length. If 7 of them fit just right in the box which is 9 cm long and 9 cm wide, what is the height of the box? A. 9 cm B. cm 7 cm 65cm E. 6cm. A room is 4 feet long, 6 feet wide and 6 feet high. If all the walls are painted, what is the painted area in square feet? A. 4 B ,44 E. 8, If you decrease both the numerator and denominator of a positive improper fraction by the same positive number, the value of the improper fraction must A. increase B. decrease be unchanged become negative E. none of the above 6

15 Practice Test Upper Level 5. If pork cutlet is selling at $5.60 per pound, how much does it cost to buy 4 pounds and 8 ounces? ( pound = 6 ounces) A. $6.80 B. $ 8.00 $ 9.50 $ 5.0 E. $5.0 7

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