Practice Test 8 - ISEE Middle Level Quantitative Reasoning

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

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1. A spool contains 50 yards of wire. A worker cuts off 12 pieces of wire, each 3 feet 6 inches long. How many feet of wire are left on the spool? (Note: 1 yard = 3 feet, 1 foot = 12 inches)
2. Identify the missing term: $2, 3, 5, 8, <u>?</u>, 21$.
3. Identify the missing term: 1, 1, 2, 3, __, 8.
4. A runner goes nine miles in 72 minutes. At this pace, how many minutes for 15 miles?
5. When a positive integer is divided by 7, the remainder is 5. When the same integer is divided by 6, the remainder is 1. What is the smallest such positive integer?
6. In which of the following pairs of shapes does the first shape represent a subset of the second shape?
7. Compare the quantities in Column A and Column B. Column A: 3/7 Column B: 42%
8. The diagonals of a certain quadrilateral are perpendicular bisectors of each other, but they are not equal in length. What is the most specific name for this quadrilateral?
9. The temperature in a town was -8°F at 6:00 AM. The temperature rose by 3°F each hour for the next 5 hours. Then, it dropped by 12°F over the next 6 hours. What was the temperature at 5:00 PM?
10. City A has a population of 12,000 and an area of 30 square kilometers. City B has a population density of 500 people per square kilometer and an area of 20 square kilometers. What is the ratio of the population of City A to the population of City B?
11. A car drives at $55$ mph for $t$ hours. In the context, if $t$ increases, what happens to distance?
12. For a party, you buy $c$ cups at $1 each and 2 pizzas at $8 each. What expression represents the total cost of items?
13. In a middle school with 600 students, 45% of the students are in the 7th grade. Within the 7th grade, the ratio of students who play a musical instrument to those who do not is 2 to 3. How many 7th-grade students play a musical instrument?
14. Complete the sequence: 2, 6, 18, __, 162.
15. The exchange rate is $1 = 0.80$ euros. How many euros do you get for $50?
16. A water cooler contains 5 gallons of water. A team of 8 players each drinks 1 pint of water from the cooler. Then, the coach fills a 1-quart bottle from the cooler. How many quarts of water are left in the cooler? (Note: 1 gallon = 4 quarts, 1 quart = 2 pints)
17. Jordan has $j$ dollars and buys a game for $15$ and a snack for $3$. How can the remaining balance be expressed algebraically?
18. A sequence of two reflections across two parallel lines results in a single translation. If a figure is reflected first across the line y = –2 and then across the line y = 3, what is the total vertical distance of the resulting translation?
19. Discount rule: $y = 10x - 5$. Find $y$ when $x = 4$.
20. If the point $(5, -1)$ is transformed by this rule, what are the coordinates of the new point?

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