Practice Test 9 - 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 baker uses a rule to determine the number of chocolate chips to add to cookies. For 2 cookies, she uses 15 chips. For 5 cookies, she uses 33 chips. Following this rule, how many chips would she use for 4 cookies?
2. A painter charges a flat fee of $100 plus an hourly rate for his work. The total cost for a job that takes h hours is represented by the expression $100 + 30h$. What does the number 30 most likely represent in this context?
3. A tank contains 200 gallons of water. A pump removes water at a rate of 5 gallons per minute, while a hose adds water at a rate of 3 gallons per minute. Which equation can be used to find m, the number of minutes it will take until the tank contains exactly 150 gallons of water?
4. A pictograph shows flowers in a garden, where each flower symbol represents 5 flowers. The row for roses has 6 symbols. The row for tulips has 4 symbols. The row for daisies has 8 symbols. What is the total number of roses and tulips in the garden?
5. A bus travels at a constant speed of 55 miles per hour. If h is the number of hours the bus has been traveling, which expression represents the remaining distance to a city that is 400 miles away?
6. If you need 48 cupcakes and have 18, how many more are needed?
7. A map scale says 1 inch = 6 miles. Two towns are 5 inches apart on the map. You use the same scale for the whole map. Multiply to scale up from map inches to real miles. How many miles apart are the towns?​
8. A family drives to a concert at 80 miles/hr. The arena is 240 miles away on the highway. They keep the same speed to arrive on time. The travel time depends on distance and rate. If a car travels at 80 miles per hour, how long will it take to travel 240 miles?
9. Two different factors of 36 add up to 21. What is the product of these two factors?
10. Four students held a bake sale. Anna raised $24. Ben raised $30. Carla raised $22. David raised $24. There were a total of 25 cookies sold. What was the average amount of money raised per student?
11. You round to the nearest ten. Estimate total: 236 + 149.
12. What comes next in the pattern: 40 35 40 35 __?
13. A rectangular garden has a perimeter of 50 feet. The length of the garden is 5 feet longer than its width. If w represents the width in feet, which equation can be used to find the dimensions of the garden?
14. A punch recipe calls for 4 cups of cranberry juice for every 1 cup of soda water. If Lena has 6 cups of cranberry juice, how much soda water does she need to follow the recipe's proportions?
15. If today is Tuesday, what day of the week will it be 50 days from today?
16. Which of the following situations can be represented by the equation $50 - 4n = 10$?
17. Ella has $x$ stickers and gives away 5 stickers today. She still has 11 stickers, so $x - 5 = 11$. Add 5 to both sides to find $x$. If $x - 5 = 11$, what is $x$?
18. A baker used $\frac{11}{4}$ cups of sugar for a large cake and $2\frac{1}{2}$ cups of sugar for a batch of cookies. Which dessert required more sugar?
19. A hexagon is a polygon with 6 sides, and a pentagon is a polygon with 5 sides. What is the ratio of the number of sides of a hexagon to the number of sides of a pentagon?
20. To make a special shade of orange, an artist mixes 4 parts of red paint with 3 parts of yellow paint. If the artist needs to make a total of 21 ounces of this orange paint, how many ounces of red paint are required?

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