Practice Test 4 - 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 recipe serves 10 and needs 3 cups of flour. How many cups of flour for 25 servings?
2. To make a certain shade of purple paint, an artist mixes red and blue paint in a ratio of 3:4. The artist needs 21 gallons of purple paint in total. If red paint costs $20 per gallon and blue paint costs $15 per gallon, what is the total cost of the paint required?
3. A library charges a fine for an overdue book of $0.50 for the first day it is late and $0.15 for each additional day. If a book is d days overdue, where d > 1, which expression represents the total fine in dollars?
4. In the sequence 5, 6, 8, 11, 15, ..., the difference between consecutive terms increases by 1 each time. If this pattern continues, what is the 8th term of the sequence?
5. Students measure 750 mL of water for a lab. What is 750 mL in L?
6. A factory produces 1,500 toy cars in a shift. The cars are packed into boxes that hold 24 cars each. The filled boxes are then packed into crates that hold 10 boxes each. How many toy cars are left over that do not make up a full crate?
7. Column A: The area of the square in square feet. Column B: 81 square feet
8. A triangular prism has a height of 10 inches. The base of the prism is a right triangle with legs measuring 6 inches and 8 inches. What is the volume of the prism?
9. The formula to convert temperature from Celsius (C) to Fahrenheit (F) is $F = \frac{9}{5}C + 32$. If the temperature is 86°F, what is the temperature in degrees Celsius?
10. The total revenue $R$ a theater makes from a show is given by the formula $R = 25a + 15s$, where $a$ is the number of adult tickets sold and $s$ is the number of student tickets sold. What does the term $25a$ represent?
11. A school library is buying new books. They order 48 hardcover books at $18.95 each and 103 paperback books at $8.10 each. Which of the following is the closest estimate of the total cost of the order?
12. A circular pool has a radius of 4 yd. Lina estimates the surface area for a floating mat. Use $A = \pi r^2$ with $\pi \approx 3.14$. The mat should cover the entire water surface. Ignore any steps or ladders in the pool. Calculate the area of the circle using the given measurements.
13. A rectangular wooden box, with no lid, has exterior dimensions of 12 inches in length, 10 inches in width, and 7 inches in height. The wood is 1 inch thick on all sides and on the bottom. What is the volume of the interior of the box in cubic inches?
14. A family's dinner bill is $120. They want to leave a 20% tip on the bill before tax is added. The sales tax is 10% of the bill. What is the total amount they will pay?
15. A box contains 20 balls. The ratio of red balls to blue balls is 3:2. Four red balls and one blue ball are added to the box. What is the new probability of picking a blue ball at random?
16. A photograph in a book shows a coin at 3 times its actual diameter. In the photo, the coin's diameter is 1.5 inches. A large poster shows the same coin at 15 times its actual diameter. What is the diameter of the coin on the poster?
17. Which of the following geometric shapes always has exactly two lines of symmetry?
18. A storage box is a cube with side length 5 cm. A student wants to know how much it can hold. Use $V = s^3$ for a cube. The box will be filled with small blocks completely. Ignore the thickness of the cardboard walls. Determine the volume of the three-dimensional shape based on dimensions given.
19. Column A: The capacity of Container X plus the capacity of Container Y. Column B: The capacity of Container Z.
20. Car distance rule: $d = 40t + 5$. Find $d$ when $t = 2$.

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