Practice Test 1 - SSAT Middle Level Quantitative

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

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1. Prime numbers have exactly two factors; composite numbers have more than two. For examples, 2, 3, 5, 7 are prime; 4 and 6 are composite. Which of the following numbers is composite?
2. In a class of 24 students, the average score on a quiz was 82. If 8 students scored 90 and the remaining students all scored the same, what did each of the remaining students score?
3. The price of a jacket was reduced by 25% to $48. What was the original price of the jacket?
4. Complete the sequence: 1, 4, 7, 10, ___.
5. A store's profit margin increased from 18% to 24%. This represents what percent increase in the profit margin?
6. Select the fraction equivalent to $\dfrac{9}{10}$.
7. In the sequence 7, 11, 19, 35, 67, ..., each term after the first is obtained by doubling the previous term and subtracting 3. What is the 8th term?
8. A fish tank in the shape of a rectangular prism is 30 inches long, 18 inches wide, and 24 inches tall. If water fills the tank to a depth of 20 inches, what percentage of the tank's volume is filled with water?
9. Three runners complete different fractions of a race: Anna completes $\frac{7}{12}$ of the race, Ben completes $\frac{3}{5}$ of the race, and Carlos completes $\frac{11}{20}$ of the race. What is the correct order from least to greatest distance completed?
10. The value of $3^{2x}$ when $x = \frac{3}{2}$ is:
11. Maria's recipe calls for 2.5 liters of milk, but she only has a measuring cup that shows fluid ounces. If 1 liter equals approximately 33.8 fluid ounces, how many fluid ounces of milk does she need?
12. A bottle contains 2 liters of soda. If each serving is 8 fluid ounces and 1 liter equals 33.8 fluid ounces, how many complete servings are in the bottle?
13. Intersecting lines create vertical angles; if $m\angle 1=124^\circ$, find $m\angle 2$.
14. A storage room has dimensions of 12 feet by 10 feet by 9 feet. If boxes measuring 2 feet by 2 feet by 3 feet are stacked inside without gaps or overlaps, what is the maximum number of boxes that can fit?
15. A model rocket is built to a scale where 2 inches on the model represents 15 feet on the actual rocket. If the model is 8 inches tall, and the actual rocket's fuel tank is 45 feet long, how long should the fuel tank be on the model?
16. The double bar graph compares book sales in two stores. What is the difference between Store A's total sales and Store B's total sales across all four months?
17. A cookie recipe uses 4 cups oats for 8 servings. Using $o=0.5s$, find oats for 6 servings.
18. In an arithmetic sequence, the 4th term is 17 and the 8th term is 33. What is the 12th term?
19. What comes next: 5, 15, 45, 135, ___?
20. The measures of four angles around a point are x°, 2x°, 3x°, and 4x°. What is the value of x?

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