Practice Test 2 - 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. What number completes the sequence: 1 4 7 10 __?
2. A parent drives to a soccer game at 40 miles/hr. The field is 120 miles away on a straight route. Traffic is light, so the speed stays constant. The team wants to know when they will arrive. If a car travels at 40 miles per hour, how long will it take to travel 120 miles?
3. The weights of four dogs at a kennel are 25 pounds, 40 pounds, 32 pounds, and 23 pounds. Their ages are 2, 5, 3, and 2 years old. What is the average weight of the dogs?
4. A carpenter has a board that is 12 feet long. He needs to cut it into shelves that are each $2\frac{1}{4}$ feet long. How many full shelves can he cut from the board?
5. A train has 9 passenger cars, and each car can seat 60 people. On a trip from City A to City B, 7 cars were completely full and one car was exactly half full. The last car was empty. How many passengers were on the train?
6. A school play practice lasted 225 minutes. How long was the practice in hours and minutes?
7. In 2015, a small town's population was 2,400. In 2017, the population was 2,460. In 2019, the population was 2,520. If the population continues to grow at this constant rate, what is the predicted population for the year 2025?
8. A pasta recipe serves 3 people and uses 6 cups of water. You need to serve 9 people for dinner. You scale the recipe to keep the same texture. How many cups of water do you need?
9. It takes 2 painters 6 hours to paint a room. Assuming they both work at the same constant rate, how long would it take 4 painters to paint the same room?
10. During a weekend trip, a car travels 45 miles/hr. The cabin is 90 miles away on the highway. The driver keeps the same speed the whole way. The family estimates arrival time using the rate. If a car travels at 45 miles per hour, how long will it take to travel 90 miles?
11. A phone company logged the length of four long-distance calls made by a customer. The calls lasted 12 minutes, 18 minutes, 10 minutes, and 20 minutes. The cost of the calls was $1.20, $1.80, $1.00, and $2.00. What was the average length of a call?
12. A video game store sells new games for $40 and used games for $15. If a customer buys n new games and 3 used games, which expression represents the total cost of the purchase?
13. Point K is located on a number line. It is greater than 1/5 and less than 3/4. Which of the following values could be the location of Point K?
14. Five less than the product of a number x and three is the same as the number increased by nine. Which equation correctly represents this complex statement?
15. A standard photograph is 4 inches wide and 6 inches long. If it is enlarged proportionally so that its width becomes 10 inches, what is its new length?
16. In a school election for class president, Candidate A received $\frac{9}{10}$ of the votes in Mr. Smith's class. In Ms. Jones's class of the same size, Candidate B received $\frac{13}{15}$ of the votes. Which statement correctly compares the results?
17. A baker uses a rectangular tray that is 10 inches wide and 12 inches long to make 30 square brownies of the same size. If he instead used a tray that was 10 inches wide and 24 inches long, how many more brownies of the same size could he make?
18. A set of cards is numbered from 1 to 20, with one number per card. If you draw one card at random, what is the probability that the number on the card is a multiple of 4 or a multiple of 7?
19. The number of marbles in a bag is a multiple of 6. The number is greater than 70 and less than 85. The sum of the digits of the number is 9. How many marbles are in the bag?
20. An architect builds a model of a bridge where 1 inch on the model represents 4 feet of the actual bridge. If the actual bridge will have a length of 30 feet, what will be the length of the model bridge?

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