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 19

← 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 \(\dfrac{7}{12} = \dfrac{x}{84}\), what is the value of \(x\)?
2.
A recipe uses 5 cups of flour for every 4 cups of sugar. If a baker uses 35 cups of flour, how many cups of sugar are needed?
3.
On a map, 1 inch represents 15 miles. Two towns are 2.5 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 9 pounds cost?

Percents

5.
What is 65% of 60?
6.
A jacket that normally costs $60 is on sale for 10% off. What is the sale price?
7.
A meal costs $140 before tax. With a 10% tax added, what is the total cost?
8.
Weekly attendance rose from 240 to 300. What was the percent increase?

The Number System

9.
What is \(-3 + 6 - (-5)\)?
10.
What is the remainder when 157 is divided by 8?
11.
What is \((2 \times 10^{6}) \times (4 \times 10^{6})\) in scientific notation?
12.
\(\sqrt{65}\) is between which two consecutive whole numbers?

Expressions & Equations

13.
Simplify: \(3x + 3 + 5x - 2\).
14.
Simplify: \(4(2x - 4) - 4x\).
15.
If \(5x - 4 = 56\), what is the value of \(x\)?
16.
If \(9x + 3 = 4x + 33\), what is the value of \(x\)?
17.
What is the value of \(2a^2 - 5a\) when \(a = 4\)?

Word Problems & Rates

18.
A train travels at a steady 30 miles per hour for 4.5 hours. How far does it travel?
19.
A bus travels 90 miles at a steady 60 miles per hour. How many hours does the trip take?
20.
One pump can drain a tank in 10 hours; a second pump can do it in 40 hours. Working together, how long do they take?
21.
The sum of three consecutive integers is 51. What is the largest of the three?

Geometry

22.
A right triangle has a hypotenuse of length 25 and one leg of length 7. What is the length of the other leg?
23.
Angles \(A\) and \(B\) are complementary. If angle \(A\) measures 35°, what is the measure of angle \(B\)?
24.
What is the sum of the interior angles of a hexagon (6 sides)?
25.
What is the midpoint of the segment joining \((-8, 2)\) and \((2, -6)\)?
26.
What is the slope of the line through \((-5, -4)\) and \((0, -6)\)?

Statistics & Probability

27.
What is the median of 44, 38, 11, 15, 35?
28.
Amir scored 95, 89, 88, 93 on his first four tests. What must he score on the fifth test to have a mean of exactly 88?
29.
A bag holds 3 red, 7 blue, and 6 green marbles. One marble is drawn at random. What is the probability that it is blue?
30.
A drawer has 4 white socks and 8 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?

Results