Practice Test 7 - 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 bar graph displays the number of rainy days last year for four cities. Seaport had 120 rainy days, Bayview had 90, Crestwood had 60, and Oakhaven had 30. The number of rainy days in Seaport was how many times the number of rainy days in Oakhaven?
2. A plant's height is measured each week. After 2 weeks, it was 17 cm tall. After 4 weeks, it was 27 cm tall. Assuming the plant grows at a constant rate and following the same rule, how tall was the plant after 1 week?
3. The three fourth-grade classes at Elm School collected cans for a food drive. Ms. Davis's class collected 115 cans, Mr. Lee's class collected 128 cans, and Mrs. Gable's class collected 107 cans. If the students pack the cans into boxes that each hold 20 cans, how many cans will be left over?
4. A pancake recipe makes 6 pancakes using 3 cups of milk. You want to make 12 pancakes for breakfast. You scale the recipe to keep the same batter thickness. How many cups of milk are needed?
5. Identify the missing term in the series: 5 10 20 __.
6. When estimating the sum of 4,580 and another number by rounding both to the nearest hundred, the result is 7,900. Which of the following could be the other number?
7. The corners of a square are at (4, 4), (4, 9), (9, 9), and (9, 4). How many units away from the point (6, 6) is the closest side of the square?
8. A science experiment requires 0.75 liter of water and 0.35 liter of a saline solution. A student mixes them together in a beaker and then removes 0.9 liter of the mixture for testing. What does the decimal 0.2 represent?
9. A car travels 25 miles/hr on a scenic road. The viewpoint is 75 miles away. The driver keeps a steady speed to enjoy the ride. The family uses the rate to estimate arrival. If a car travels at 25 miles per hour, how long will it take to travel 75 miles?
10. A self-driving car moves forward 0.2 meters in the first second, 0.4 meters in the second second, and 0.6 meters in the third second. If this pattern of movement continues, what does the decimal 1.0 represent?
11. A cookie jar contains 36 cookies. One-third of the cookies are chocolate chip, one-fourth are oatmeal, and the rest are peanut butter. If a cookie is chosen at random, what is the probability it is a peanut butter cookie?
12. Rectangle A has an area of 30 square units. Rectangle B has the same width as Rectangle A, but its length is 3 times as long. What is the area of Rectangle B?
13. A family drives to a museum at 50 miles/hr. The museum is 150 miles from home. They leave after breakfast and keep a steady speed. Everyone wants to know the driving time. If a car travels at 50 miles per hour, how long will it take to travel 150 miles?
14. A recipe for a pan of cornbread baked in a rectangular pan that is 8 inches by 12 inches serves 16 people. If you use a rectangular pan that is 8 inches by 24 inches instead, how many people can you serve, assuming the cornbread has the same thickness?
15. Four friends are painting a long fence. After one hour, Liam has painted $\frac{3}{4}$ of his section, Noah has painted $\frac{2}{3}$ of his section, Olivia has painted $\frac{5}{6}$ of her section, and Emma has painted $\frac{7}{12}$ of her section. All sections are the same size. Who is in the lead, having painted the most?
16. The equation 3 × n = 48 represents a story problem. Which of the following story problems could be represented by this equation?
17. A plant grows 2 centimeters every 5 days. There are approximately 30 days in a month. Which is the best estimate for how many centimeters the plant will grow in 2 months?
18. A juice stand sold 120 cups of lemonade on Friday. On Saturday, it sold 20 more cups than on Friday. On Sunday, it sold half as many cups as it did on Saturday. How many cups of lemonade were sold in total over the three days?
19. A father is 25 years older than his son. In 5 years, the sum of their ages will be 55. If s is the son's current age, which equation represents the sum of their ages in 5 years?
20. A map scale shows $1$ inch = $6$ miles. Two towns are 3 inches apart on the map. The map uses the same scale everywhere. How many miles apart are the towns?

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