Practice Test 1 - 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. What is the value of the expression $3\frac{1}{4} + 2\frac{1}{6} - 1\frac{1}{3}$?
2. A factory machine produces 3 defective lightbulbs for every 500 bulbs it makes. If the factory produces a batch of 12,000 lightbulbs, how many of them can be expected to be defective?
3. A train moves at 72 miles per hour for $h$ hours. Based on this, choose $d$.​​
4. 4. A game costs eighteen dollars and fifty cents ($18.50). It is on sale for five dollars and twenty-five cents ($5.25) off. What is the sale price?​​
5. Dice: $P(\text{blue die}=4)=\frac{1}{6}$ and $P(\text{red die is even})=\frac{1}{2}$. Which is more likely?
6. For a class party, Sarah brought $2\frac{1}{4}$ cheese pizzas and Leo brought $1\frac{1}{2}$ pepperoni pizzas. If the class ate a total of $3\frac{1}{8}$ pizzas, what fraction of a pizza was left over?
7. A circle has a diameter with endpoints at (-5, 8) and (3, -2). What are the coordinates of the center of the circle?
8. A water tank is $\frac{1}{4}$ full. After adding 10 gallons of water, the tank is $\frac{2}{3}$ full. What is the total capacity of the tank in gallons?
9. After a party, $\frac{1}{4}$ of a pizza was left over. The next day, David ate $\frac{2}{3}$ of the leftover pizza. The piece David ate weighed 6 ounces. What was the original weight of the whole pizza in ounces?
10. A carpenter has a wooden plank that is 10 feet long. He cuts off a piece that is $4\frac{1}{3}$ feet long and another piece that is $2\frac{1}{2}$ feet long. What is the length of the remaining plank?
11. What is the next number in the following sequence? 10, 20, 15, 25, 20, 30, ...
12. A recipe for 8 large cookies requires 1.5 cups of flour. Maria wants to make exactly 20 of these cookies for a bake sale. How many cups of flour will she need?
13. If $m = 6$, what is the value of $3m - (m+2)^2 \div 4$?
14. A water pump moves 2.5 gallons of water in 2 minutes. The pump is used to fill an empty 80-gallon tank, but the tank has a small leak that loses water at a rate of 0.25 gallons per minute. How many minutes will it take for the pump to fill the tank?
15. Liam and Chloe painted a fence that is 72 feet long. Liam painted $\frac{3}{8}$ of the fence. Chloe painted $\frac{1}{3}$ of the remaining portion of the fence. How many more feet of fence did Liam paint than Chloe?
16. A running track is 400 meters long. A runner completes 6.5 laps. How many kilometers has the runner traveled? (Note: 1 kilometer = 1,000 meters)
17. The mean of five distinct positive integers is 12 and their median is 13. What is the largest possible value for one of these integers?
18. A car rental company charges a fee of $30 per day plus $0.25 per mile driven. If a car is rented for d days and driven for m miles, which equation calculates the total rental cost, C, in dollars?
19. You flip a fair coin twice for a game. What is the probability of the sequence HH outcome?
20. Based on the given pattern, what number should replace the blank: 50, 40, $\underline{\hspace{2em}}$, 20?

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