Practice Test 9 - ISEE Upper Level Quantitative Reasoning

20 questions. Answer them in any order, then submit to see your score and every explanation.

A wall uses bricks per day: $20, 40, 80, 160, 320$ ; what is the next term?
For a science lab, Jordan measured 2.0 liters of water and needed gallons for a U.S. data table. He used $1\text{ gal}=3.785\text{ L}$ and wrote $\text{gal}=\text{L}\div3.785$ . How many gallons was 2.0 L, rounded to two decimals?
A sequence is defined recursively as $a_1 = 2$ , $a_2 = 3$ , and $a_n = a_{n-1} + a_{n-2}$ for $n \geq 3$ . What is $a_6$ ?
In the sequence $2, 6, 18, 54, 162, ...$ each term is obtained by multiplying the previous term by 3. If this pattern continues, which term will first exceed 10,000?
A car drives 90 miles in 2 hours, then 60 miles in 1 hour; what is average speed?
A photograph is enlarged so that a 4-inch side becomes 10 inches. If another side of the original photograph was 6 inches, what will be the length of this side in the enlargement?
A small online clothing shop reviews its monthly results to decide how much inventory to order. Let $R$ be monthly revenue from sales, and let $E$ be monthly expenses, including shipping fees, advertising costs, website hosting, and the cost of purchasing new stock. The owner calculates profit using $P = R - E$ . During months with a large marketing campaign, $E$ may rise because advertising costs increase, but $R$ may also rise if more customers place orders. During months with higher shipping rates, $E$ can increase even if sales stay steady. The owner wants to understand what real-world events can change each variable. What real-world factor can alter the variable $R$ in this context?
A bakery sells muffins for $2.85 each. If a customer has $23.50, approximately how many muffins can they buy, and how much change will they receive?
The terms of a sequence follow the pattern: $a_1 = 2$ , $a_2 = 5$ , $a_3 = 10$ , $a_4 = 17$ , $a_5 = 26$ . Which formula best describes the $n$ th term?
In a chemistry lab, the hot plate was set to $100^\circ\text{C}$ , but a partner recorded in Fahrenheit. The student used $F=\frac{9}{5}C+32$ . What Fahrenheit temperature corresponded to $100^\circ\text{C}$ ?
Three athletes' success rates are recorded as $\frac{14}{25}$ , $55.9\%$ , and $0.56\overline{1}$ . If they want to determine who has the best performance, what should they conclude?
Which inequality correctly represents the relationship between $\frac{11}{24}$ , $45.8\%$ , and $0.4\overline{583}$ ?
An exterior angle of a triangle measures 134°. If one of the non-adjacent interior angles measures 78°, what is the measure of the other non-adjacent interior angle?
Three stores offer discounts: Store X gives $\frac{1}{8}$ off, Store Y gives $12.6\%$ off, and Store Z gives $0.124$ off the regular price. Which store offers the smallest discount?
If $2(x + 3) = 5x - (x - 6)$ , what is the value of $x$ ?
If $\frac{3}{8} = 0.375$ and $\frac{5}{12} = 0.41\overline{6}$ , which statement correctly compares these numbers with $37\%$ ?
A car travels 240 miles in 4 hours. At this rate, how long will it take the car to travel 420 miles?
A car rental company charges $30 per day plus $0.20 per mile. A customer rents a car for $d$ days and drives $m$ miles, but receives a $10\%$ discount on the total bill. Which expression represents the amount the customer actually pays?
A basketball analyst compares two players' scoring efficiency to predict who should take more shots late in games. For each player, let $P$ represent points scored in a game, and let $M$ represent minutes played. The analyst computes scoring efficiency as $S = \frac{P}{M}$ . If a player's $M$ increases because they play longer, $S$ will only rise if $P$ increases proportionally or more. If $P$ increases while $M$ stays nearly constant, $S$ rises noticeably. The analyst also notes that fatigue can reduce scoring, so longer minutes do not automatically lead to more points. How does the change in $M$ affect scoring efficiency $S$ in this scenario?
A store offers a discount where customers pay full price for the first item and get $25\%$ off each additional item of the same type. If a customer buys $n$ items at $\$p$ each (where $n \geq 2$ ), which expression represents the total cost?

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