Practice Test 6 - ISEE Middle Level Mathematics Achievement

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

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1. A pattern of numbers is shown: 5, 6, 8, 11, 15, ... Which rule explains how to get the next number in the pattern based on the previous number?
2. Start with 5, 8: 5, 8, 13, 21, 34. Next number?
3. A train journey is scheduled to take 4 hours and 15 minutes. The train has completed two-fifths of the journey. How many minutes of the journey remain?
4. A rectangle's length is 1 centimeter less than twice its width. If the perimeter of the rectangle is 52 centimeters, what is its width in centimeters?
5. A school class has 12 boys and 16 girls. A committee of two students is chosen at random. What is the probability that the committee consists of one boy and one girl? Give your answer in simplest form.
6. A triangle has vertices P(2, 3), Q(5, 3), and R(2, 7). If the triangle is reflected across the y-axis, what are the new coordinates of vertex R?
7. A rectangular painting is $3\frac{1}{2}$ feet long and $2\frac{1}{4}$ feet wide. An artist covers $\frac{2}{3}$ of the painting with a protective glaze. What is the area of the glazed portion of the painting in square feet?
8. A rectangle has vertices at A(2, 1), B(6, 1), and C(6, 6). What is the length of the diagonal AC?
9. In gym class, convert $1.8\text{ m}$ to centimeters using $1\text{ m}=100\text{ cm}$.
10. In math class, 11 students score: 70, 72, 75, 75, 78, 80, 82, 85, 88, 90, 92. Based on the data, what is the median value?
11. A factory produces 360 widgets per hour. The factory operates for 8 hours a day. At the end of one day, inspectors find that 125 widgets are defective and must be discarded. The non-defective widgets are then packed into boxes that hold 15 widgets each. How many boxes can be completely filled?
12. A pharmacist needs to prepare a 0.6-liter solution. The solution is made by mixing a concentrate with water. She has already added 150 cubic centimeters of concentrate. How much water, in milliliters, does she need to add? (Note: 1 liter = 1,000 milliliters; 1 milliliter = 1 cubic centimeter)
13. Calculate the positive difference between the sum $(3\frac{1}{2} + 1\frac{1}{4})$ and the sum $(1\frac{1}{3} + 2\frac{1}{6})$.
14. A class tracks 13 locker numbers used for a game: 2, 3, 3, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9. Which number appears most frequently, indicating the mode?
15. A table shows the scores for three students on a test with a maximum score of 120. Aria scored 82, Ben scored 78, and Cara scored 92. What was the group's average score as a percentage of the maximum possible score?
16. A car drives at 55 miles per hour for $t$ hours, traveling $d$ miles. Which equation models this?
17. Game: $P(\text{win a small prize})=15\%$ and $P(\text{win a big prize})=5\%$. Which is more likely?
18. What is the rule for the sequence: 2, 3, 5, 8, 13?
19. A kiosk pays $90$ dollars fixed costs and earns $5$ dollars profit per item sold. Which fits $P$?​​
20. Experiment: $P(\text{pick a star sticker})=\frac{4}{9}$ and $P(\text{pick a heart sticker})=\frac{1}{2}$. Which is more likely?

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