Practice Test 12 - ISEE Middle Level Mathematics Achievement

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

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1. Town A has a population of 12,000 and is growing by 250 people per year. Town B has a population of 15,000 and is decreasing by 150 people per year. Which equation can be used to find y, the number of years it will take for the two towns to have the same population?
2. Maria starts with $200 in her bank account. She deposits $15 each week for 8 weeks. She then withdraws enough money to buy 3 concert tickets that cost $45 each. How much money is left in her account?
3. What is the next term in the pattern: 100, 99, 96, 91, 84, ...?
4. For a student's final grade, the average of three tests counts for $\frac{2}{3}$ of the grade, and a final exam counts for the remaining $\frac{1}{3}$. The student's test scores are 80, 90, and 100. If the student scores an 84 on the final exam, what is the student's final grade?
5. A square has a side length that is a positive integer. The numerical value of its perimeter is greater than the numerical value of its area. What is the sum of all possible integer side lengths for the square?
6. Two bags: $P(\text{Bag A red})=\frac{5}{12}$ and $P(\text{Bag B red})=\frac{1}{3}$. Which is more likely?
7. The results of a class fundraiser are shown in a table. The four grades in a school raised the following amounts: 6th grade raised $450, 7th grade raised $600, 8th grade raised $500, and 9th grade raised $450. The total amount raised was what fraction of the 7th grade's total?
8. In the sequence 2, 6, 15, 31, 56, ..., the difference between consecutive terms creates its own pattern. What is the rule to find the next term?
9. A single card is drawn from a standard 52-card deck. What is the probability that the card is a heart or a face card (Jack, Queen, or King)?
10. Cooking soup, you have $2\ 1/8$ cups broth and add $5/8$ cup. What is the sum?
11. A cyclist travels at a steady speed of 15 miles per hour. How many feet does the cyclist travel in 2 minutes? (Note: 1 mile = 5,280 feet; 1 hour = 60 minutes)
12. What is the value of the expression $15 - 3^2 + (5-2)^3 \div 9$?
13. Ms. Patel records 12 quiz scores to plan review lessons: 6, 7, 8, 8, 9, 10, 10, 10, 11, 12, 12, 14. Which number appears most frequently, indicating the mode?
14. A moving truck has a storage space that is 15 feet long, 8 feet wide, and 7 feet high. If boxes are cubes with an edge length of 2 feet, what is the maximum number of boxes that can fit in the truck, without being crushed or tilted?
15. On a road trip, combine these distances: $1/2$ mile, $1/4$ mile, and $2\ 1/2$ miles. Total?
16. If the length and width of a rectangle are both tripled, which statement accurately describes the change in its perimeter and area?
17. A cylindrical storage tank has a volume of 785 cubic meters and a height of 10 meters. What is the radius of the tank's base? Use 3.14 for π.
18. A painter mixes 2 gallons of blue paint with 4 quarts of white paint to create a light blue mixture. He then uses 5 pints of the mixture on a wall. How many pints of the light blue paint mixture are left? (Note: 1 gallon = 4 quarts; 1 quart = 2 pints)
19. A jacket is on sale for 20% off its original price. An additional 5% sales tax is calculated on the discounted price. If the final price after the discount and tax is $84, which equation can be used to find the original price, p?
20. A project is estimated to take 150 working hours to complete. If a team of 3 people works on it, and each person works 5 hours per day, how many full days will it take the team to complete the project?

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