Practice Test 11 - 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. Three friends equally share a restaurant bill of $42. A calculator shows the result as 14.00. If the bill had been $43, the calculator would show 14.333... What does the decimal 0.333... represent in the second situation?
2. Maria is counting down from 100 following a pattern. Her sequence is: 100, 90, 81, 73, ... If she continues this pattern, what number will she say next?
3. A circle graph shows how a city budget is spent. Schools receive 40%, Police receive 30%, Parks receive 20%, and Roads receive 10%. What fraction of the budget is spent on Parks and Roads combined? The total budget is $1,000,000.
4. On a day trip, a car drives 30 miles/hr through small towns. The destination is 60 miles away. The driver keeps the same speed to stay safe. They want to know how long it will take. If a car travels at 30 miles per hour, how long will it take to travel 60 miles?
5. What is the ratio of vowels to consonants in the word QUANTITATIVE?
6. You plan party drinks and want a quick estimate. If you round to the nearest ten, what is the estimated total of $91$ and $47$?
7. A teacher has 32 pencils and 40 erasers. She wants to create identical kits with the same number of pencils and erasers in each kit for a group of students, with nothing left over. What is the greatest number of identical kits she can make?
8. Maria scored 85, 90, and x on three science tests. Her average score for the three tests was exactly 88. Which equation represents this situation?
9. You have 902 beads and use 487. What is the estimated difference?
10. How many whole numbers between 30 and 60 are divisible by 3 but not by 5?
11. A bag contains tiles numbered from 10 to 30, inclusive. If a tile is drawn at random, what is the probability that the number on the tile is divisible by both 2 and 3?
12. Over three days, a delivery truck traveled 50 miles, 65 miles, and 65 miles. The number of packages delivered each day was 30, 40, and 35. What was the average number of packages delivered per day?
13. A stack of 8 identical books is 1 foot 4 inches tall. How tall, in inches, would a stack of 12 of these books be? (1 foot = 12 inches)
14. A turtle takes $\frac{1}{5}$ of an hour to cross a yard. A snail takes $\frac{2}{9}$ of an hour to cross the same yard. Which animal is faster?
15. A bag of apples was shared equally among 5 friends. Each friend received 12 apples, and there were 3 apples left over in the bag. How many apples were in the bag at the start?
16. Jamal had $48. He spent $\frac{1}{3}$ of his money on a video game. He then spent $\frac{1}{4}$ of the money that was left on a snack. How much money does Jamal have now?
17. A model train is built at a scale of $1:25$. The model engine is 4 inches long. The real engine is the same shape, just larger. What is the real length in inches?
18. A family drives to a hiking trail at 72 miles/hr. The trailhead is 216 miles away. They keep the same speed to meet friends on time. The travel time uses distance divided by rate. If a car travels at 72 miles per hour, how long will it take to travel 216 miles?
19. A bar graph shows money raised by four grades. The 2nd grade raised $100. The 3rd grade raised $150. The 4th grade raised $120. The 5th grade raised $130. About what fraction of the total money was raised by the 2nd grade?
20. A building model uses a 1:50 scale. The model height is 3 inches. The real building is 50 times taller than the model. Scale up the height using multiplication. What is the actual height in inches?​

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