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Practice Test 12 - ISEE Lower Level Quantitative Reasoning

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

  1. A whole number greater than 1 has exactly three factors: 1, itself, and one other number. Which of the following must be true about such a number?
  2. A class is making friendship bracelets. Each bracelet requires 8 blue beads and 7 red beads. There are 24 students in the class, and each student will make one bracelet. If beads are sold in bags of 100, how many bags of beads must be purchased?
  3. A certain two-digit number is a multiple of 5 and is between 65 and 95. The sum of its digits is a multiple of 6. What is the number?
  4. The rainfall in a city was measured for three consecutive days. The amounts were 1.2 inches, 1.5 inches, and 1.8 inches. The average rainfall for these three days was 1.5 inches. What does the decimal 0.3 represent in this context?
  5. A classroom floor is 14 ft by 11 ft. The teacher orders carpet to cover the whole floor. How many square feet of carpet are needed for the classroom?
  6. Four friends shared the cost of a large pizza and a bottle of juice. The pizza cost $18 and the juice cost $2. They paid with a $25 bill. If they split the change evenly among themselves, how much change did each friend receive?
  7. The input/output pairs (3, 11) and (7, 27) are generated by a machine. What is the output for an input of 5?
  8. At a book fair, paperback books cost $4 each and hardcover books cost $7 each. A school bought h hardcover books. They bought twice as many paperback books as hardcover books. The total cost for all the books was $225. Which equation represents the school's purchase?
  9. The name of one of the 12 months is picked at random. What is the probability that the name of the month contains the letter 'R'?
  10. A smoothie recipe serves four and uses two cups of yogurt. You want to make it for 12 servings for a team snack. You keep the taste the same by scaling every ingredient by the same factor. The yogurt amount must match the new number of servings. How many cups of yogurt are needed for 12 servings?​
  11. A baker uses a special yeast that triples in volume every hour. She starts with 10 cubic centimeters of yeast at 8:00 AM. At 9:00 AM, she has 30 cubic centimeters. At 10:00 AM, she has 90 cubic centimeters. If the pattern continues, how much yeast will she have at 12:00 PM?
  12. A snail travels at a steady rate of 2 centimeters per minute. How many minutes will it take the snail to travel a distance of 3 meters?
  13. A survey of four families found the following information. The Jones family has 3 children and 2 pets. The Kim family has 1 child and 3 pets. The Singh family has 2 children and 1 pet. The Williams family has 2 children and 2 pets. What is the average number of pets per family?
  14. On a map, 1 inch represents 4 miles. A hiking trail measures 7 inches on the map. The scale stays the same along the whole trail. Convert inches to miles using the scale. How many miles long is the trail?​
  15. A large water jug holds 6 liters. A small cup holds 38\frac{3}{8} of a liter. How many full cups can be filled from the jug?
  16. A box contains p pencils. The pencils are to be shared equally among 7 students, and there will be 4 pencils left over. Which equation could be used to find the number of pencils each student receives, s?
  17. In a number sequence, each number is 6 more than the number before it. If the second number in the sequence is 15, what is the first number?
  18. A baker makes a large batch of c cookies. He packs them into boxes of 12. After filling 10 full boxes, he has 5 cookies left over. Which equation correctly represents the total number of cookies, c, that he made?
  19. A pet store has three fish tanks. Tank 1 holds 20 gallons of water and has 10 fish. Tank 2 holds 30 gallons and has 15 fish. Tank 3 holds 25 gallons and has 11 fish. What is the average number of fish per tank?
  20. On the first day of a fundraiser, a team raises $6. Each day after that, they raise $4 more than they did the day before. How much money will the team raise on the fifth day?

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