Practice Test 6 - ISEE Lower 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 playground is shaped like a rectangle with corners at (2, 3), (12, 3), (12, 10), and (2, 10). Which of the following coordinates represents a spot inside the playground, not on its border?
2. Sarah can read 15 pages of her book in 20 minutes. If she continues to read at this constant speed, how many pages can she read in one full hour?
3. What comes next in the pattern: 9 18 16 32 __?
4. A cleaning service takes 1 hour and 15 minutes to clean a small office. If a team starts cleaning at 8:30 AM and must clean 4 identical small offices in a row without a break, what time will they finish?
5. A baker made a batch of d dozen muffins. He sold 40 individual muffins. Since there are 12 muffins in a dozen, which expression represents the number of muffins left?
6. A farm produced 38,192 pounds of potatoes and 21,805 pounds of carrots last year. Which of the following is the closest estimate to the total production in pounds?
7. A phone plan costs $25 per month, plus $2 for every gigabyte of data used. If g represents the number of gigabytes used, which expression represents the total cost for 3 months?
8. A 'secret code' machine follows a two-step rule. When the input is 8, the output is 20. When the input is 12, the output is 32. What will the output be when the input is 5?
9. A group of s students is divided into 4 equal teams for a game. Two students leave before the game begins. Which expression represents the number of students on each team now?
10. A baker starts with a 10-pound bag of flour. He uses $\frac{1}{4}$ of the bag for bread. He then uses $\frac{1}{3}$ of the remaining flour for muffins. How many pounds of flour are left in the bag?
11. Look at the number pattern below. What number comes next in the pattern? 3, 6, 12, ___, 48
12. At the store, you estimate a cart total. If you round to the nearest ten, what is the estimated total for $27$, $64$, and $118$?
13. David created a number pattern that starts with 1. His pattern is 1, 3, 7, 13, 21, ... What is the next number in David's pattern?
14. A gardener is tracking the height of her tomato plants. After three weeks, Plant A is 10 inches, Plant B is 14 inches, and Plant C is 12 inches tall. In the first week, the plants were all 4 inches tall. What is the average height of the plants after three weeks?
15. A leap year generally occurs every 4 years. For a year to be a leap year, its number must be divisible by 4. Which of the following years was a leap year?
16. Noah buys a toy for $9 and has $15 total. He writes $x + 9 = 15$ for his money. Subtract 9 from both sides to find $x$. What is the value of $x$ in $x + 9 = 15$?
17. The populations of three neighboring towns are 9,812; 4,109; and 7,995. The total population is estimated by rounding each town's population to the nearest thousand. If this estimated total population is then divided equally between 2 counties, what is the estimated population in each county?
18. For a class party, a teacher buys 5 large pizzas. Each pizza is cut into 12 slices. If there are 28 students in the class and each student eats 2 slices, how many pizza slices will be left over?
19. A pancake recipe requires 3 cups of flour for every 2 cups of milk. A chef used a total of 9 cups of milk to make a large batch. How many cups of flour did the chef use?
20. A recipe that makes 1 dozen cookies requires $\frac{3}{4}$ cup of flour. If Sarah wants to make 16 cookies, how much flour will she need?

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