Practice Test 10 - ISEE Lower Level Quantitative Reasoning

19 questions. Answer them in any order, then submit to see your score and every explanation.

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1. A bag of flour weighs 5 pounds. There are 16 ounces in a pound. If a recipe calls for 10 ounces of flour, what is the greatest number of times the recipe can be made from the one bag of flour?
2. You plan a party and estimate how many snacks to buy. If you round to the nearest hundred, what is the estimated total of $312$ and $487$?
3. On a sunny day, a 6-foot tall man casts a 4-foot long shadow. At the same time, a nearby tree casts a 10-foot long shadow. How tall is the tree?
4. Marco ate $\frac{2}{5}$ of his pizza. Jada ate $\frac{3}{8}$ of her pizza, which was the same size as Marco's. Who has more pizza left over?
5. A parking lot has 50 spaces. There are 35 cars parked in the lot. Of the parked cars, 5 are red. What is the ratio of parked cars that are not red to the total number of parked cars?
6. In a basketball game, four players had the following statistics: Player #5 scored 12 points, Player #10 scored 18 points, Player #23 scored 6 points, and Player #32 scored 16 points. What was the average number of points scored by these four players?
7. A concert hall has 4,238 seats. For a weekend show, 3,981 tickets were sold for Friday night and 4,015 tickets were sold for Saturday night. Which of the following is the most reasonable estimate for the total number of unsold tickets for both nights combined?
8. A library has 12,456 fiction books and 8,912 non-fiction books. The library also has 3,450 magazines. The librarian wants to estimate the difference between the number of fiction and non-fiction books by rounding each number to the nearest thousand. What is the librarian's estimate?
9. A number machine follows the rule 'multiply by 3, then subtract 5'. If the output is 28, what was the input?
10. A survey of 120 students asked about their favorite sport. In a circle graph of the results, soccer is the largest section, appearing to be slightly less than half of the circle. Basketball is the next largest section, which takes up exactly one-fourth of the circle. Baseball and swimming are smaller, equal-sized sections that make up the rest. Which is the best estimate for the number of students who chose soccer?
11. A whole number has exactly six factors. The sum of all its factors is 28. What is the number?
12. The perimeter of a square is 36 inches. An equilateral triangle has a side length that is 2 inches shorter than the side length of the square. What is the perimeter of the equilateral triangle?
13. The area of David's rectangular bedroom is 120 square feet. The area of his sister's bedroom is 108 square feet. If both bedrooms have the same width of 10 feet, how much longer is David's bedroom than his sister's?
14. In a video game, a player earns points based on a pattern. Level 1 earns 100 points. Level 2 earns 125 points. Level 3 earns 150 points. However, on any level that is a multiple of 5, the player earns a 75-point bonus. How many points will a player earn for completing Level 10?
15. A pet shelter has only cats and dogs. There are 8 more dogs than cats. If there are 30 animals in total, what is the probability that a randomly chosen animal is a cat?
16. A classroom floor is 18 ft by 12 ft. Carpet tiles are 1 ft by 1 ft. How many square feet of carpet are needed for the classroom?
17. A family drives to a lake at 70 miles/hr. The lake is 210 miles away on the interstate. They plan to stop only after arriving. The travel time comes from distance and rate. If a car travels at 70 miles per hour, how long will it take to travel 210 miles?
18. A bar graph shows the number of juice boxes sold in a week: Monday, 49; Tuesday, 78; Wednesday, 42; and Thursday, 61. On which two days was the approximate total number of juice boxes sold equal to 120?
19. A growing pattern of numbers is shown: 3, 4, 6, 9, 13, ... If the pattern continues in the same way, what will be the next number?

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