Practice Test 3 - ISEE Lower Level Quantitative Reasoning
20 questions. Answer them in any order, then submit to see your score and every explanation.
- A spinner is divided into 8 equal sections, numbered 1 through 8. What is the probability of the spinner landing on a number that is at least 6?
- Jamal is reading a book. On day 1, he reads 8 pages. On day 2, he reads 12 pages. On day 3, he reads 16 pages. If he continues to increase the number of pages he reads each day by this pattern, on which day will he have read a cumulative total of exactly 80 pages?
- A family uses 3 gallons of milk every 2 weeks. There are 4 quarts in a gallon. At this rate, how many quarts of milk does the family use in 6 weeks?
- Leo earned $15 for mowing a lawn. He also gets a $5 allowance every week. If he starts with no money and wants to buy a video game that costs $48, how many weeks must he get his allowance in addition to the money from mowing the lawn?
- A number is chosen at random from the whole numbers between 1 and 50, inclusive. What is the probability that the number is a two-digit number and the sum of its digits is 5?
- Chen has a collection of 112 seashells. This is 14 more than his friend David has. How many seashells do they have altogether?
- A box contains 3 bags of red marbles and 4 bags of blue marbles. Each bag of red marbles has 25 marbles. Each bag of blue marbles has 30 marbles. If a student takes 15 marbles out of the box, how many marbles are left?
- You plan snacks for a party and estimate quickly. If you round to the nearest ten, what is the estimated total of , , and ?
- A warehouse started with 9,855 boxes. In one week, shipments of 1,208 boxes, 985 boxes, and 2,040 boxes were sent out. Rounding each number to the nearest hundred, what is the estimated number of boxes remaining in the warehouse?
- An ant walks on a grid. It starts at (3, 1), walks to (3, 5), then turns and walks to (9, 5). What is the total distance the ant has walked so far in grid units?
- A pet store has 5 large fish tanks and 8 small fish tanks. Each large tank holds 30 fish, and each small tank holds 15 fish. On Saturday, the store sold 20 fish. How many fish were left in all the tanks at the end of the day?
- The area of a large rectangle is 5 times the area of a small square. The small square has a side length of 2 inches. What is the area of the large rectangle?
- Four friends earned money by washing cars. They decided to split the money equally. After they split it, each person received $18. If they had to spend $8 of their total earnings on soap, what were their total earnings before buying the soap?
- In a computer simulation, a virtual plant starts with a health value of 1.0. A virtual pest reduces its health by 0.3. Then, the gardener applies a fertilizer that increases its health by 0.1. What does the value 0.8 represent?
- A family drives to a festival at 75 miles/hr. The festival grounds are 150 miles away. They plan their departure using a steady travel rate. The time is found by dividing distance by speed. If a car travels at 75 miles per hour, how long will it take to travel 150 miles?
- Three of the following fractions are greater than . Which fraction is NOT greater than ?
- David and Sarah went for a run. David ran miles and Sarah ran miles. Who ran a farther distance?
- For a school fundraiser, students sell raffle tickets. Team A sold 45 tickets. Team B sold 15 fewer tickets than Team A. Team C sold twice as many tickets as Team B. If one ticket is drawn from all the tickets sold by the three teams, what is the probability it was sold by Team A?
- A number machine follows a two-step rule. When the input is 4, the output is 14. When the input is 7, the output is 23. What is the rule?
- A ticket-taker at a movie theater notes the number of people arriving every 10 minutes. At 6:00, 5 people arrive. At 6:10, 8 people arrive. At 6:20, 11 people arrive. If this pattern of arrivals continues, how many people are predicted to arrive between 6:40 and 6:50?