Practice Test 4 - 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 number sequence starts with 7. The third term is 21 and the fourth term is 28. If the sequence follows the same pattern of adding a number each time, what is the second term?
2. A cookie recipe makes 8 cookies using 2 cups of sugar. You want to bake 24 cookies for a bake sale. You scale the ingredients to keep the sweetness the same. How many cups of sugar are needed?
3. Each letter of the word QUANTITATIVE is written on a separate tile and placed in a bag. If one tile is drawn at random, what is the probability that it is a vowel?
4. A small bookstore's sales for one week were: Monday $50, Tuesday $45, Wednesday $55, Thursday $52, Friday $68, Saturday $100, and Sunday $90. What was the average daily sales amount for the weekdays only (Monday through Friday)?
5. What number completes the sequence: 4 8 12 16 __?
6. Sam is 4 feet 8 inches tall. His older brother, Tom, is 62 inches tall. What is the difference in their heights? (1 foot = 12 inches)
7. Your class collects supplies and wants a fast estimate. If you round to the nearest ten, what is the estimated total for $156$, $42$, and $89$?
8. At the farmer's market, 4 pears cost $3.00. At the grocery store, pears cost $0.80 each. To buy 12 pears, how much cheaper is it to buy them at the farmer's market than at the grocery store?
9. A bar graph shows the points scored by three of four players in a basketball game. Amy scored 12 points, Ben scored 15, and Clara scored 8. The total points scored by all four players was 40. What fraction of the total points did the fourth player, David, score?
10. A pattern machine operates on a two-part rule. An input of 20 results in an output of 9. An input of 30 results in an output of 14. What is the rule?
11. In a garden, there are 10 rose bushes and 15 tulip plants. Of the rose bushes, 4 have red flowers. Of the tulip plants, 9 have red flowers. What is the ratio of plants with red flowers to plants that do not have red flowers?
12. To find the most accurate estimate for the difference between 7,924 and 3,188, which of the following rounding methods should be used?
13. A school bus travels at a steady speed of 40 miles per hour. A train travels at a speed of 1 mile per minute. There are 60 minutes in an hour. How many more miles does the train travel than the bus in one hour?
14. A flight from Boston to Chicago departs at 11:00 AM Eastern Time. The flight takes 2 hours and 40 minutes. Chicago is in the Central Time zone, which is 1 hour behind Eastern Time. What is the local time in Chicago when the flight arrives?
15. A recipe for a batch of muffins requires 3 cups of flour. A baker has a 21-cup bag of flour. After he makes several batches of muffins, he has 6 cups of flour left. How many batches of muffins did he make?
16. It takes a machine 10 minutes to fill 40 identical bottles. Which of the following expressions shows the number of bottles the machine can fill in 1 minute?
17. What comes next in the pattern: 18 12 20 14 __?
18. A bookshelf can hold 95 books. Currently, it has 38 non-fiction books and the rest are fiction books. If a student borrows 15 of the fiction books, how many fiction books remain on the shelf?
19. A library charges a fine of $0.20 per day for an overdue book. A book is returned 4 days late. The total fine is $0.80. What does the number 0.20 represent?
20. A botanist records the height of a new plant. On the first day, it is 8 cm tall. On the second day, it is 13 cm tall. On the third day, it is 18 cm tall. If the plant continues to grow at the same rate, what will its height be on the seventh day?

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