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 14

← 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.
Two friends split $42 in the ratio \(3:4\). How many dollars is the larger share?
2.
Two triangles are similar. The smaller triangle has sides of 6 cm and 9 cm. The side corresponding to the 6 cm side measures 12 cm in the larger triangle. How long is the side corresponding to the 9 cm side?
3.
If \(\dfrac{3}{8} = \dfrac{x}{24}\), what is the value of \(x\)?
4.
A recipe uses 3 cups of flour for every 2 cups of sugar. If a baker uses 21 cups of flour, how many cups of sugar are needed?

Percents

5.
60% of a number is 72. What is the number?
6.
Write \(\dfrac{11}{20}\) as a percent.
7.
What is 65% of 140?
8.
A jacket that normally costs $120 is on sale for 20% off. What is the sale price?

The Number System

9.
What is the value of \(5 + 3 \times 2^{4} - 5\)?
10.
What is the greatest common factor (GCF) of 16 and 40?
11.
What is the least common multiple (LCM) of 24 and 36?
12.
What is \(\dfrac{3}{5} \div \dfrac{9}{10}\)?

Expressions & Equations

13.
If \(6x + 5 = 35\), what is the value of \(x\)?
14.
If \(5x + 5 = 3x + 23\), what is the value of \(x\)?
15.
What is the value of \(3a^2 + 5a\) when \(a = 4\)?
16.
Solve for \(x\): \(14 - 3x > 2\).
17.
Simplify: \(\dfrac{x^{5} \cdot x^{3}}{x^{4}}\).

Word Problems & Rates

18.
Maya has 18 coins, all quarters and dimes, worth $2.70 in total. How many quarters does she have?
19.
Leo is 8 years older than his sister. The sum of their ages is 42. How old is his sister?
20.
A train travels at a steady 60 miles per hour for 3 hours. How far does it travel?
21.
A bus travels 100 miles at a steady 40 miles per hour. How many hours does the trip take?

Geometry

22.
A rectangle is 14 cm long and 5 cm wide. What is its perimeter?
23.
Two angles of a triangle measure 50° and 65°. What is the measure of the third angle?
24.
A circle has a radius of 5 cm. What is its circumference?
25.
A rectangular box measures 6 cm × 6 cm × 5 cm. What is its volume?
26.
A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

Statistics & Probability

27.
Amir scored 79, 77, 75, 91 on his first four tests. What must he score on the fifth test to have a mean of exactly 80?
28.
A bag holds 6 red, 3 blue, and 5 green marbles. One marble is drawn at random. What is the probability that it is blue?
29.
A drawer has 3 white socks and 7 black socks. Two socks are pulled out at random without replacement. What is the probability that both are white?
30.
An outfit is one shirt, one pair of pants, and one hat. With 3 shirts, 2 pairs of pants, and 2 hats, how many different outfits are possible?

Results