Practice Test 5 - 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 family has 200 books to pack for a move. A small box can hold 10 books, and a large box can hold 25 books. They completely fill 6 large boxes. How many small boxes will they need for the remaining books?
2. Which of the following fractions is closest in value to $\frac{1}{2}$?
3. What is the greatest two-digit number that has 7 as a factor?
4. Sarah has a piece of fabric that is 4 and a half feet long. She cuts off a piece that is 10 inches long for a project. What is the length, in inches, of the remaining fabric? (1 foot = 12 inches)
5. In a video game, the points for collecting gems follow a rule. Collecting 4 gems gives 25 points, and collecting 6 gems gives 35 points. How many points would a player get for collecting 10 gems?
6. A math puzzle says: 'I am thinking of a number, n. If you divide it by 4 and then add 7, the result is 15.' Which equation matches this puzzle?
7. A rectangular garden is 10 yards long and 5 yards wide. A fence will be built around the entire perimeter of the garden. If the fencing material costs $4 per foot, what will be the total cost of the fence? (1 yard = 3 feet)
8. Leo's bookshelf has 3 shelves. The first shelf has 10 books, the second has 14 books, and the third has 6 books. What is the ratio of books on the first shelf to the total number of books on all three shelves?
9. A square garden has an area of 25 square feet. If the length of each side of the garden is increased by 3 feet, what is the area of the new, larger garden?
10. A dripping faucet wastes 3 milliliters of water every minute. How many milliliters of water does the faucet waste in one full day?
11. On a family road trip, the car drives 60 miles/hr. The next rest stop is 180 miles away. The family wants to know how long the drive takes. Roads are clear, so the speed stays the same. If a car travels at 60 miles per hour, how long will it take to travel 180 miles?
12. If you need 36 plates total and have 14, how many more are needed?
13. A city bus arrives at a certain stop every 12 minutes. The first bus of the day arrives at 6:00 AM. What time does the fifth bus arrive at that stop?
14. At a party, estimate the total of 1,248 and 379 snacks.
15. A group of 24 children went to the park. One-third of the children are wearing hats. What is the ratio of children not wearing hats to children wearing hats?
16. A train is scheduled to depart at 7:10 AM, 7:25 AM, 7:40 AM, and 7:55 AM. If this schedule pattern continues, what is the predicted departure time of the fifth train after the 7:55 AM departure?
17. Fill in the blank to continue the sequence: 9 14 19 24 __.
18. Ms. Anya's class has 10 boys and 15 girls. Mr. Ben's class has 12 boys and 8 girls. The two classes are combined for a school event. If one student is chosen at random from the combined group, what is the probability that the student is a boy?
19. A student's scores on four quizzes were 90, 80, 70, and 100. The student spent 20, 15, 25, and 20 minutes studying for each quiz, respectively. What was the student's average quiz score?
20. A small box containing 6 crayons costs $1.50. A large box containing 15 crayons is sold at the same price per crayon. What is the cost of the large box of crayons?

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