Practice Test 8 - 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. Which fraction is equivalent to $\dfrac{3}{4}$?
2. The differences between consecutive terms in a sequence are 3, 6, 12, 24, 48, ... If the first term is 5, what is the 6th term?
3. If $2\frac{1}{4}\%$ of a number equals 0.72, what is 150% of that number expressed as a decimal?
4. If $2m + n = 7$ and $m = 3$, what is the value of $n^2 - 2n + 1$?
5. A student tracks allowance for four weeks: $10, $15, $12, and $13. The student adds them as $10+$15+$12+$13 to get the total. Next, the student divides by 4 because there are four weeks. The result is the average allowance each week. Find the average allowance received.
6. The table shows the number of cars sold by color at a dealership. If red cars and blue cars together represent exactly 40% of total sales, how many total cars were sold?
7. A map uses 1 inch = 4 miles. A lake is 1.75 inches across on the map. How wide is it?
8. A recipe uses 36 cups flour and 81 cups sugar; simplify flour:sugar ratio.
9. A car rental company charges $25 per day plus $0.15 per mile driven. If someone rents a car for 3 days and drives 240 miles, what is the total cost?
10. The perimeter of a square is numerically equal to its area. What is the side length of the square?
11. Based on the figure shown, what is the area of the shaded triangular region?
12. What is the next term: 2, 6, 18, 54, ___?
13. In the pattern $7, 10, 16, 28, 52, ...$, each term is obtained by applying the same rule to the previous term. What is the next term?
14. Prime numbers have exactly two factors; composite numbers have more than two. Examples: 2, 3, 5, 7 are prime; 4 and 6 are composite. Is 1 prime or composite?
15. On four parts of a trip, a car travels at 60 mph, 55 mph, 70 mph, and 65 mph. The driver adds the speeds to find the total. Then the driver divides by 4 since four speeds are listed. This gives one average speed for the trip parts. What is the average speed over the entire trip?
16. A phone case is 10% off. Using $p=0.9o$, what is $p$ when $o=\$32$?
17. A store offers a 20% discount on all items, then applies a 6% sales tax to the discounted price. If an item originally costs $45, what is the final price after the discount and tax?
18. A paint mixture contains red, white, and blue paint in the ratio $2:3:4$. If the mixture contains $27$ gallons total, how many gallons of white paint are in the mixture?
19. The pie chart shows how Maria spent her $120 weekly allowance. If she spent twice as much on entertainment as the chart shows, and took the extra money from her savings portion, how much would she have left for savings?
20. Maya's test score improved from 68 to 85. By approximately what percent did her score increase?

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