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 12

← 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 3.5 inches apart on the map. What is the actual distance between them?
2.
Apples cost $1.80 for 3 pounds. At the same rate, how much do 10 pounds cost?
3.
Two friends split $132 in the ratio \(5:7\). How many dollars is the larger share?
4.
Two triangles are similar. The smaller triangle has sides of 5 cm and 9 cm. The side corresponding to the 5 cm side measures 20 cm in the larger triangle. How long is the side corresponding to the 9 cm side?

Percents

5.
A meal costs $40 before tax. With a 15% tax added, what is the total cost?
6.
Daily downloads fell from 80 to 50. What was the percent decrease?
7.
60% of a number is 132. What is the number?
8.
Write \(\dfrac{3}{8}\) as a percent.

The Number System

9.
What is the value of \(5 + 4 \times 3^{2} - 4\)?
10.
What is the greatest common factor (GCF) of 24 and 36?
11.
What is the least common multiple (LCM) of 27 and 45?
12.
What is \(\dfrac{5}{6} \div \dfrac{1}{3}\)?

Expressions & Equations

13.
Simplify: \(5(3x - 6) - 2x\).
14.
If \(6x + 2 = 50\), what is the value of \(x\)?
15.
If \(8x - 3 = 4x + 13\), what is the value of \(x\)?
16.
What is the value of \(2a^2 - 2a\) when \(a = 5\)?
17.
Solve for \(x\): \(20 - 3x > 8\).

Word Problems & Rates

18.
One printer can finish a print job in 6 hours; a second printer can do it in 12 hours. Working together, how long do they take?
19.
The sum of three consecutive integers is 63. What is the largest of the three?
20.
Maya has 15 coins, all quarters and dimes, worth $2.40 in total. How many quarters does she have?
21.
Leo is 4 years older than his sister. The sum of their ages is 40. How old is his sister?

Geometry

22.
A rectangle is 11 cm long and 7 cm wide. What is its perimeter?
23.
Two angles of a triangle measure 69° and 59°. What is the measure of the third angle?
24.
A circle has a radius of 6 inches. What is its area?
25.
A rectangular box measures 5 cm × 5 cm × 2 cm. What is its volume?
26.
A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?

Statistics & Probability

27.
What is the median of 24, 9, 25, 13, 17?
28.
Amir scored 96, 86, 98, 89 on his first four tests. What must he score on the fifth test to have a mean of exactly 90?
29.
A bag holds 7 red, 3 blue, and 5 green marbles. One marble is drawn at random. What is the probability that it is blue?
30.
A drawer has 3 white socks and 9 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?

Results