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Practice Test 10 - ISEE Lower Level Mathematics Achievement

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

  1. A soccer team buys one jersey and one pair of shorts for each of its p players. Jerseys cost $20 each and shorts cost $15 each. Let C be the total cost for all the players' uniforms. Which equation finds the total cost?
  2. What is the rule for the sequence 1, 4, 13, 40, ...?
  3. In which step did Samara make her first mistake?
  4. A large square with a side length of 10 cm is divided into four identical smaller triangles by its two diagonals. What is the combined area of two of these smaller triangles?
  5. A watering can has a capacity of 5.5 liters. It currently contains 1.85 liters of water. How much more water must be added to fill the watering can to exactly 5 liters?
  6. The equation 5m = 80 gives the total number of minutes, 80, it takes to bake 5 batches of muffins. The variable m represents the minutes per batch. How long does it take to bake 2 batches of muffins?
  7. Mr. Cheng is building a bookshelf. He has a wooden plank that is 12 feet long. He cuts off a piece that is 4134\frac{1}{3} feet long and another piece that is 5125\frac{1}{2} feet long. How long is the remaining piece of the plank?
  8. A farmer has 18 rows of apple trees with 15 trees in each row. He also has 12 rows of pear trees with 10 trees in each row. How many more apple trees than pear trees does the farmer have?
  9. A movie theater has 14 rows of seats, and each row has 22 seats. For a particular show, 250 seats were sold. How many seats were empty?
  10. A squirrel is at the point (10, 8). It scurries 6 units to the left and then 4 units down. What are the squirrel's new coordinates?
  11. Jenny's house is 58\frac{5}{8} of a mile from school. Leo's house is 34\frac{3}{4} of a mile from school. A park is located at a distance from the school that is between Jenny's and Leo's distances. Which could be the park's distance from the school?
  12. A square garden has a side length of 15 feet. A brick path that is 3 feet wide is built around the entire outside of the garden. What is the perimeter of the outer edge of the brick path?
  13. A swimming pool is being drained. At 1:00 PM, it has 5,000 gallons of water. At 3:00 PM, it has 4,200 gallons. If the water drains at a constant rate, how many gallons were in the pool at 2:00 PM?
  14. A bookshelf holds 15 fiction books and 9 non-fiction books. All the books are the same size and shape. If a book is picked at random, what is the probability that it is a fiction book?
  15. A gumball machine contains only red, green, and yellow gumballs. The probability of getting a red gumball is 1/3. If there are 36 gumballs in the machine in total, how many gumballs are red?
  16. Which fraction has a value between 47\frac{4}{7} and 58\frac{5}{8}?
  17. A student is drawing a rectangle on a coordinate grid. She has already plotted the points (8, 3), (2, 3), and (2, 7). Which point does she need to plot to complete the rectangle?
  18. An expression is simplified using the correct order of operations. Expression: 60 ÷ (5 + 1) × 2 Which operation should be performed first?
  19. At a craft store, Anya purchases 4 bottles of paint for $2.29 each, 1 large canvas for $7.95, and a set of 3 paintbrushes for $1.89 per brush. Which range contains the best estimate of her total cost?
  20. In March, Leo read a book with 178 pages and another with 205 pages. In April, he read a single book with 410 pages. What is the difference between the total number of pages he read in March and the number of pages he read in April?

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