Original full-spectrum practice (generated) — New SHSAT-style questions spanning all seven topic areas of the source materials — ratios & proportions, percents, number system, expressions & equations, word problems & rates, geometry, statistics & probability. Generated by generators/gen_full.py; every answer is computed, not hand-typed. · Added Jul 2, 2026

Practice Test 13

← All teststarget ~45:00 (90s/question, SHSAT pace)00:000 / 30 answered

The SHSAT runs about 90 seconds per question. This 30-question set ≈ 45 min — the timer counts up so you can track your pace.

Ratios & Proportional Relationships

1.
If \(\dfrac{5}{9} = \dfrac{x}{63}\), what is the value of \(x\)?
2.
A recipe uses 5 cups of flour for every 3 cups of sugar. If a baker uses 15 cups of flour, how many cups of sugar are needed?
3.
On a map, 1 inch represents 30 miles. Two towns are 5.5 inches apart on the map. What is the actual distance between them?
4.
Apples cost $3.60 for 3 pounds. At the same rate, how much do 12 pounds cost?

Percents

5.
What is 65% of 160?
6.
A jacket that normally costs $60 is on sale for 40% off. What is the sale price?
7.
A meal costs $200 before tax. With a 10% tax added, what is the total cost?
8.
The price of a game dropped from $240 to $150. What was the percent decrease?

The Number System

9.
What is \(-12 + 15 - (-5)\)?
10.
What is the remainder when 102 is divided by 7?
11.
What is \((3 \times 10^{6}) \times (2 \times 10^{5})\) in scientific notation?
12.
\(\sqrt{84}\) is between which two consecutive whole numbers?

Expressions & Equations

13.
Simplify: \(\dfrac{x^{4} \cdot x^{5}}{x^{3}}\).
14.
Which expression represents “3 less than four times a number \(n\)”?
15.
If \(x + y = 12\) and \(x - y = 8\), what is the value of \(x\)?
16.
Simplify: \(8x + 7 + 4x - 4\).
17.
Simplify: \(3(4x - 2) - 3x\).

Word Problems & Rates

18.
A train travels at a steady 30 miles per hour for 3.5 hours. How far does it travel?
19.
A bus travels 200 miles at a steady 80 miles per hour. How many hours does the trip take?
20.
One printer can finish a print job in 7 hours; a second printer can do it in 42 hours. Working together, how long do they take?
21.
The sum of three consecutive integers is 90. What is the largest of the three?

Geometry

22.
A right triangle has a hypotenuse of length 5 and one leg of length 3. What is the length of the other leg?
23.
Angles \(A\) and \(B\) are complementary. If angle \(A\) measures 45°, what is the measure of angle \(B\)?
24.
What is the sum of the interior angles of a nonagon (9 sides)?
25.
What is the midpoint of the segment joining \((4, 4)\) and \((10, -4)\)?
26.
What is the slope of the line through \((-2, 1)\) and \((3, 3)\)?

Statistics & Probability

27.
An outfit is one shirt, one pair of pants, and one hat. With 6 shirts, 3 pairs of pants, and 2 hats, how many different outfits are possible?
28.
A spinner has 16 equal sections and 9 of them are red. What is the probability that one spin lands on a section that is not red?
29.
What is the mean of the data set 30, 6, 32, 26, 36?
30.
What is the median of 24, 32, 23, 44, 43?

Results