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 18

← 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.
On a map, 1 inch represents 30 miles. Two towns are 4.5 inches apart on the map. What is the actual distance between them?
2.
Apples cost $1.75 for 5 pounds. At the same rate, how much do 10 pounds cost?
3.
Two friends split $96 in the ratio \(3:5\). How many dollars is the larger share?
4.
Two triangles are similar. The smaller triangle has sides of 6 cm and 10 cm. The side corresponding to the 6 cm side measures 12 cm in the larger triangle. How long is the side corresponding to the 10 cm side?

Percents

5.
A meal costs $160 before tax. With a 15% tax added, what is the total cost?
6.
A club grew from 60 members to 75 members. What was the percent increase?
7.
25% of a number is 30. What is the number?
8.
Write \(\dfrac{7}{20}\) as a percent.

The Number System

9.
What is the value of \(2 + 3 \times 2^{3} - 8\)?
10.
What is the greatest common factor (GCF) of 20 and 50?
11.
What is the least common multiple (LCM) of 20 and 50?
12.
What is \(\dfrac{7}{8} \div \dfrac{1}{4}\)?

Expressions & Equations

13.
What is the value of \(3a^2 - 3a\) when \(a = 3\)?
14.
Solve for \(x\): \(14 - 5x > 4\).
15.
Simplify: \(\dfrac{x^{4} \cdot x^{5}}{x^{4}}\).
16.
Which expression represents “9 less than twice a number \(n\)”?
17.
If \(x + y = 22\) and \(x - y = 2\), what is the value of \(x\)?

Word Problems & Rates

18.
One hose can fill a pool in 3 hours; a second hose can do it in 6 hours. Working together, how long do they take?
19.
The sum of three consecutive integers is 72. What is the largest of the three?
20.
Maya has 15 coins, all quarters and dimes, worth $2.25 in total. How many quarters does she have?
21.
Leo is 8 years older than his sister. The sum of their ages is 46. How old is his sister?

Geometry

22.
A rectangle is 14 cm long and 6 cm wide. What is its perimeter?
23.
Two angles of a triangle measure 50° and 79°. What is the measure of the third angle?
24.
A circle has a radius of 9 cm. What is its circumference?
25.
A rectangular box measures 8 cm × 6 cm × 4 cm. What is its volume?
26.
A right triangle has legs of length 12 and 16. What is the length of the hypotenuse?

Statistics & Probability

27.
A drawer has 4 white socks and 5 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?
28.
An outfit is one shirt, one pair of pants, and one hat. With 4 shirts, 5 pairs of pants, and 3 hats, how many different outfits are possible?
29.
A spinner has 14 equal sections and 9 of them are red. What is the probability that one spin lands on a section that is not red?
30.
What is the mean of the data set 13, 39, 9, 12, 22?

Results